Step 1: Units. Step 2: Start Ups. Step 3: Review Tests. Important: turn to page 21 while you are reading this.

Transcription

1 DiZign Pty Lt Gt th Rsults You Want! START UP MATHS Yar Ags yars ol This book is part o th Exl Avan Skills sris, whih provis stunts with mor hallnging xtnsion work in mathmatis. Th Exl Avan Skills Start Up Maths sris or Founation to Yar has bn spiially sign to b us as lassroom or homwork books in orr to hlp stunts, tahrs an parnts with thir unrstaning o Mathmatis. Eah book in th sris ovrs th yar s work in tail. Innovativ aturs provi an intgrat an supportiv approah to larning. All units o work, rviw tsts an Start Up stions ar intrrlat an ross-rrn to ah othr. (Plas ra th insi ront ovr or mor tails.) This sris o books is a must or stunts who want to ovr th yar s work omprhnsivly, with no gaps in thir knowlg. Th ompltion o this workbook in Yar will nsur that a stunt will b ully prpar or th work in Yar. In this book you will in: Ovr 0 units o work to omplt Yar Ags Thirty-our rviw tsts or rvision Ovr 000 xriss to pratis A Start Up stion or xtra hlp with unrstaning qustions Comprhnsiv ovrag o th yar s work About th author Damon Jams, BE, MS(E), DipInoThE, is an xprin tahr an a sussul author o many primary an sonary Mathmatis txtbooks. ADVANCED SKILLS TION FOUNDA NCED SKILL M AT ADVA HS F AGES S STAR T UP MA THS + Foun atio s n Ag Damo 9 s! Jam Gt th Rsult s You Wa Dam nton m n Ja 9! anmton th Rsult s You WDa Gt s D am Gt th Rs m on Ja u lt s 9 AGES 9 0 SKILLS YE AR ADVANC ED S M AT H SKILLS YE AR AGES u lt s ADVANCED AGES G t t h R s s You WaDamo nt! n Jam YEAR AGES 0 AGES ADVANCED SKILLS YEAR M AT HS MA TH S AGES AGES 9 MA THS MAT HS YEAR 0. CED SKILLS LS YE AR M AT H S ED SKIL ADVANC MATHS ADVANCED SKILLS YEA R G t t h You WDamon ant! Jams Ja m s R su lt s Gt t h R s You Dam u lt Wanton! Jam s sy ou : Gt t h R su WDa mo an t!n Ja m s lt 0 s sy ou Gt th R WDaam su nton! Ja m s l ts Yo u Wa nt! $ ISBN Exl Tst Zon Gt th Rsults You Want! H Hlp your hil prpar with our NAPLAN*-styl an Australian Curriulum Tsts. FREE N *This isi nott an oi *Thi iially i ll nors publiation o th NAPLAN program an is prou by Pasal Prss inpnntly o Australian govrnmnts. 9 StartUpMaths Yr NSACE 0.in, Pasal Prss PO Box 0 Glb NSW 0 (0) 0 Damon Jams UP START UP START UP TART UP P STARTHS MATHS MATHS SM U T R T ATHS START UP A MA MATHS STA UP STMATHS T R R STAATHS MATT UP 0 0 M HS I I V 0. ADVANCED SKILLS ADVAN ADVANCED SKILLS START UP MATHS Avan Skills MATHS ADVANCED SKILLS YEAR AGES START UP MATHS I I V :0 G t t h R su lt s You Damon Jams Want! /0/0 : PM

2 UNIT Expaning numbrs Writ th numral or ah o th ollowing: a b Writ ah o th ollowing in xpan notation: a 09 b How many tns ar thr in ah o th ollowing: a b How many thousans ar thr in ah o th ollowing: a 9 b 9 9 Writ as a numral. Writ 9 in xpan notation. How many tns ar thr in 9? How many thousans ar thr in? 9 Us < or > to mak th statmnts tru. a b Answrs on pags Unit Numbrs to on million pag 9 A numbr an b writtn in wors or igits..g. on thousan, ight hunr an orty-six is. To writ in igits, writ th valus in pla valu. I thr is no igit or a rtain pla thn a zro is writtn,.g. 0. Not: numbrs an also b writtn with imals,.g..9 is our hunr an twnty-on, point ight nin. For a pla valu hart, ah numbr is writtn in th olumn o pla. I thr is no valu, a zro is writtn. Not: U = units, T = tns, H = hunrs, Th = thousans, TTh = tns o thousans an HTh = hunrs o thousans. To in th valu o a rtain igit, look at th pla o that igit an this givs th valu,.g. th in is in th tns pla, so has a valu o tns. This oul b writtn in wors or as a numbr,.g. tns, ighty or 0. Dtrmin th ounting pattrns o units, tns, hunrs, thousans t. by looking at th valu o th units, tns, hunrs, thousans pla. Complt th pattrn or writ th missing numbrs in th spas. This also applis to imals by xamining th valus in th tnths, hunrths t. plas. Unit Pla valu pag 9 A n abaus is ra as th numbr o iss abov ah lttr. U = units, T = tns, H = hunrs, Th = thousans, TTh = tns o thousans an HTh = hunrs o thousans. = 0 HTh TTh TH H T U This also applis to imals by showing th imal point an thn th Tths = tnths an Hths = hunrths. S Unit No. < mans lss than an > mans gratr than. So < 9 ras as is lss than 9, whih is tru. 0.9 > 0. ras 0.9 is gratr than 0. whih is also tru. Numbrs an b srib with approximations or statmnts,.g. 9 is roughly ity thousan as 9 rouns to Unit Numbrs gratr than on million pag 0 an S Unit No. Orring numbrs an b trmin by looking at th irst igits o th sam pla valu,.g. millions an omparing. I th igits ar th sam, thn look at th nxt numbr working lt to right an so on..g. is largr than 9 by omparing th valus o th tns o thousans. Not: asning orr mans smallst to largst an sning orr mans largst to smallst. Rouning mans giving an approximat answr. To roun a numbr to th narst million, xamin th numbr in th hunrs o thousans position. I it is or gratr, th numbr is roun up to th narst million. I it is lss than, th numbr is roun own to th narst million..g. as th numbr in th hunrs o thousans position is, thn th numbr is roun own to Unit Numbr pattrns () pag 0 S Unit No. ; s Unit No. A tabl an b omplt by looking at th numbr pattrn (s Unit No. ) an thn th gri is ill in. A rul is a simplii way o xprssing a pross..g. mans ah numbr is multipli by. This an also b appli to numbr pattrns. S START UPS pag UNIT S START UPS pag Units Positiv an ngativ numbrs Orr ah st o numbrs rom smallst to largst: a, 0,,, 0,, 9, b,,,, 0,,,,,, 0,,, -, 0,, 0, 0,,, 0,, 0,,,,,,,,, 0,,, Cirl th largr numbr in ah pair: a 0, b, 0,,, 0, Complt th numbr squns: a,,,,, b 0,,,,, 0,,,,,,,,,,,, 0,,,, 0,,,, Complt th ollowing quations: a = b 0 = + = + = = = Orr th ollowing rom smallst to largst:, 0,,, 0,, 0, Cirl th largr numbr:, Complt th numbr squn:,,,,, Complt: = 9 Draw a numbr lin an a th ollowing: -, 0,, 0.,, START UPS: Units Unit Expaning numbrs pag To writ th numbr rom th xpan orm, tak th irst igit o ah numbr in th quation an put it in orr o pla..g givs th igits,,, 9 an so th numbr is 9. Not: i thr is no igit in a rtain pla, thn a zro is writtn. To xpan a numbr, brak th numbr into its omponnts o hunrs o thousans, tns o thousans an so on. Writ as an aition quation..g. 9 = Th numbr o tns is all o th numbrs in th tns pla an to th lt..g. has tns 9 has tns has tns Th sam ia applis to hunrs, thousans an so on..g. has thousans. Unit Positiv an ngativ numbrs pag A ngativ numbr is a numbr lss than zro an is rprsnt by a sign..g.,, 0. 0 S Unit No. Simpl quations an b omplt by thinking about th numbrs on a numbr lin, an th t o th opration..g. = 0 Unit Aition rviw pag Whn aing largr numbrs, it is possibl to ignor th zros, a th amiliar numbrs an thn put on th ignor zros..g a + = 9 thn put two zros on = 900 Eithr o th ollowing thr stratgis oul b us: Th split stratgy: whr th numbrs ar xpan into thir pla valus an numbrs o th sam valu ar a togthr..g. + = (0 + 0) + ( + ) = 0 + = Th ompnsation stratgy: whr th numbr is roun to th narst or 0, th roun numbrs ar a an thn th irn rom th rouning is a or subtrat..g. + 9: + 0 = As 9 is roun up, so th answr is ount bak by. So + 9 = Th jump stratgy: whr w start with th irst numbr an thn xpan th son numbr into its omponnts, an ah omponnt is a rom largst to smallst..g. 0 + = = 90 + = 9 To stimat is to mak a snsibl guss. This an b omplt by rouning to th narst hunr an thn using on o th stratgis o No. to a. To a vrtially, start at th right an a th numbrs togthr. Writ in th units an arry any tns. Thn mov to th tns, hunrs t. through to th lt arrying as nssary..g. + 9 Stp : Units Important: turn to pag whil you ar raing this. Qustions : noti that ah qustion always has xatly six xriss, i.. a. This is so you will hav plnty o prati o a nw onpt (an th sam amount) so you an unrstan it. Qustions : noti that qustion is lik qustion rpat, qustion is lik qustion rpat, qustion is lik qustion rpat, an qustion is lik qustion rpat. This is so you will rvis ah typ o qustion you hav just larnt. Qustion 9: noti that this qustion is a bit harr than othr qustions. This is so you will hav a hallnging problm to tst yoursl with at th n o ah unit. Stp : Start Ups Important: turn to pag whil you ar raing this. Units : noti that ah unit has xtra inormation or qustions. This is to giv a mor tail xplanation so you an unrstan a qustion bttr. Rmmbr that qustions ar just qustions rpat, i.. qustion is lik qustion, qustion is lik qustion, t. so you an apply th xplanations to ths qustions as wll. For xampl: A stunt has troubl unrstaning qustion o Unit. Th stunt turns to th Start Ups stion or Units on pag, thn turns to Unit qustions an ins a mor tail xplanation. Start Ups UNIT S START UPS pag REVIEW TESTS: Units 9 Unit Numbrs to on million pag 9 Unit Pla valu pag 9 Unit Numbrs gratr than on million pag 0 Unit Numbr pattrns () pag 0 Unit Expaning numbrs pag Unit Positiv an ngativ numbrs pag Th valu o th in is: A ity B million C 00 thousan D 0 thousan Cirl th largst numbr: A B C D Tru or als? 0 9 > 0 9 Tru or als? Thr ar thousans in 9. Writ 0 in wors. Arrang th ollowing in asning orr: 9, 9, 9, Writ as a numbr in wors. What is th numbr rprsnt by: HTh Answrs on pag TTh Th H T 9 Writ a rul or th numbr pattrn: 0, 0, 0,, 0 Complt: + = Roun nin hunr an svnty-two thousan, ight hunr an lvn to th narst million. How many tns ar thr in: ? U UNIT Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Sor = / Sor = / Rviw Tsts Unit Aition rviw pag Unit Aing to pag Unit 9 Aing larg numbrs pag = A B 00 C 00 D 00 Th bst stimat o + 90 is: A 00 B 00 C 00 D 00 Tru or als? + Tru or als? Th missing numbr in th ollowing is Fin th total o $ 0. an $ 0. Complt: Complt: + 9 = Fin th total o $ an $9. 9 At a Christmas tr arm, thr wr 9, an 9 Christmas trs in ah o thr paoks. What was th total numbr o Christmas trs? 0 Fin th total o: 0 L 9 L Giv th answr to th quation in qustion in wors. Complt: L 9 L U NIT Q Q Q Q Q 9 Q 9 Q Q Q Q 9 Q 9 Q Q Q Q Q 0 Stp : Rviw Tsts Important: turn to pag 0 whil you ar raing this. Units an 9: noti that ah rviw tst ovrs thr to six units. This is so your knowlg is tst on svral units. Noti also that you ar tol what units ths ar in as you want to rvis thm bor oing th tst. Qustions : noti that qustions an ar always multipl-hoi qustions an that qustions an ar always tru/als qustions. Th rst o th qustions in th tst ar a ross-stion o qustions rom th thr to six units ovr by th rviw tst. This is so you ar tst in a varity o ways to mak sur you hav ully unrstoo th work. Unit margins: noti that ah qustion has a unit an qustion rrn, whih is a similar qustion to th on givn. This is so you know th xat qustion to go bak to i you gt a qustion wrong an n mor prati to unrstan it. For xampl: A stunt gts qustion o Units wrong. Th stunt ss that nxt to th qustion it says: Q, i.. Unit qustion, so th stunt turns to Unit qustion an ins a similar qustion to pratis.

3 MATHS ADVANCED SKILLS YEAR AGES START UP MATHS I I V :0 G t t h R su lt s You Damon Jams Want! YContnts_0.in /0/0 0: AM

4 Contnts Start Ups Units... Units 9... Units 0... Units... Units... Units 0... Units 0... Units... Units Units Units 0... Units... Units 0... Units... Units... Units... Units... Gomtry Unit... Units Numbrs Numbrs to on million... 9 Pla valu... 9 Numbrs gratr than on million... 0 Numbr pattrns ()... 0 Expaning numbrs... Positiv an ngativ numbrs... Aition, subtration an rouning numbrs Aition rviw... Aing to Aing larg numbrs... 0 Subtration rviw... Mntal stratgis or subtration... Rouning numbrs... Subtration to Subtrating larg numbrs... Estimation an multipliation Estimation... Multipliation tabls ()... Multipliation tabls ()... Multipliation rviw... 9 Multipliation o tns, hunrs an thousans ()... 0 Multipliation o tns, hunrs an thousans ()... Multipliation o tns, hunrs an thousans ()... 9 Multipliation... 9 Multipliation by -igit numbrs... 0 Extn multipliation ()... 0 Extn multipliation ()... Extn multipliation ()... Extn multipliation ()... Multipls, ators an ivisibility... 9 Multipliation stratgis... 0 Estimating prouts... Division Division prati... Division rviw... Division with rmainrs... Division with rmainrs rations... Division with zros in th answr... Division with zros in th ivisor... Division by numbrs with zros... Division o numbrs largr than Extn ivision... Avrags 0 Avrags ()... Avrags ()... 9 Invrs oprations Invrs oprations an hking answrs... 9 Numbr lins an oprations Numbr lins an oprations... 0 Orr o oprations ()... 0 Orr o oprations ()... Orr o oprations ()... Orr o oprations with imals an rations... Numbr pattrns Numbr pattrns ()... 9 Numbr pattrns ()... Oprations, quations an numbrs 0 Mix oprations... Zro in oprations... Equations... ii Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

5 Binary numbrs... Oprations with mony... Equations with numbrs an wors... Substituting valus... Numbr sntns ()... Numbr sntns ()... 9 Numbr sntns ()... 0 Squar an ub numbrs... Working with numbrs... 9 Chang o units... 9 Ngativ numbrs... 0 Prim an omposit numbrs... 0 Frations Frations... Fration o a group ()... Fration o a group ()... Equivalnt rations ()... 9 Equivalnt rations ()... 0 Equivalnt rations ()... Impropr rations an mix numbrs... Using rations... Fration aition... Fration subtration... Fration aition an subtration... Fration multipliation ()... Fration multipliation ()... Fration multipliation ()... 9 Fration multipliation ()... Dimals 0 Dimal pla valu thousanths... Dimal aition... 9 Dimal subtration... 9 Dimal multipliation... 0 Dimal ivision... 0 Multipliation an ivision o imals ()... Multipliation an ivision o imals ()... Frations an imals... Rouning imals... Prntags 9 Prntags () Prntags ()... 9 Prntags ()... 9 Frations, imals an prntags... Mony 9 Mony in shopping... 9 Mony in banking... Symmtry 9 Symmtry... 9 Rotational symmtry... Lins an angls 9 Diagonals, paralll an prpniular lins... 9 Paralll, horizontal an vrtial lins Angls Raing angls ()... 0 Raing angls () Drawing angls Angl ats... 0 D objts 0 D objts Drawing D objts... 0 Proprtis an viws o D objts... 0 Cylinrs, sphrs an ons... D Shaps 0 Paralllograms an rhombuss Gomtri pattrns... 0 Cirls... Nts an D objts Nts an D objts... Sal rawings an ratios Sal rawings... Sal rawings an ratios... Tssllation an pattrns Tssllation an pattrns... Position an maps Compass irtions... Maps ()... Maps ()... Maps ()... 9 Coorinats ()... 0 Coorinats ()... Tim Analog tim... 9 Digital tim... 9 Digital an analog tim hour tim () hour tim ()... Stopwaths... Contnts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar iii

6 Timlins... Timtabls... 9 Tim zons ()... 0 Tim zons ()... Travlling sp Travlling sp... Lngth Lngth in millimtrs an ntimtrs... Lngth in mtrs... Lngth in kilomtrs ()... Lngth in kilomtrs ()... Convrting lngths ()... Convrting lngths ()... Primtr Primtr ()... 9 Primtr ()... Ara 0 Ara in m... Ara in m... 9 Ara o a triangl ()... 9 Ara o a triangl () Htars Squar kilomtrs ()... 9 Squar kilomtrs ()... 9 Mass Mass in grams an kilograms... 9 Mass in tonns Mass in tonns an kilograms... 9 Capaity an volum 0 Capaity in millilitrs an litrs ()... 9 Capaity in millilitrs an litrs ()... 9 Kilograms an litrs... 9 Cubi ntimtrs an litrs... 9 Cubi ntimtrs... 9 Cubi mtrs... 9 Volum ()... 9 Volum ()... 9 Tabls an graphs Tabls an graphs Bar graphs (ivi) Pi harts Man, mian an graphs Bar graphs an pi harts... 0 Lin graphs... 0 Tally marks an graphs... 0 Raing graphs Collt ata... 0 Rvision 0 Aition an subtration prati... 0 Multipliation an ivision prati... 0 Frations prati... 0 Dimals prati... 0 Problm solving invrs oprations... 0 Problm solving mony... 0 Problm solving... 0 Rviw Tsts Units Units Units Units...0 Units... Units... Units... Units... Units... Units 9... Units Units Units...9 Units...0 Units 9... Units 0... Units... Answrs Units... Rviw Tsts... Chan Arrangmnts () Arrangmnts () Priting... 9 iv Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

7 START UPS: Units Unit Numbrs to on million pag 9 A numbr an b writtn in wors or igits..g. on thousan, ight hunr an orty-six is. To writ in igits, writ th valus in pla valu. I thr is no igit or a rtain pla thn a zro is writtn,.g. 0. Not: numbrs an also b writtn with imals,.g..9 is our hunr an twnty-on, point ight nin. For a pla valu hart, ah numbr is writtn in th olumn o pla. I thr is no valu, a zro is writtn. Not: U = units, T = tns, H = hunrs, Th = thousans, TTh = tns o thousans an HTh = hunrs o thousans. To in th valu o a rtain igit, look at th pla o that igit an this givs th valu,.g. th in is in th tns pla, so has a valu o tns. This oul b writtn in wors or as a numbr,.g. tns, ighty or 0. Dtrmin th ounting pattrns o units, tns, hunrs, thousans t. by looking at th valu o th units, tns, hunrs, thousans pla. Complt th pattrn or writ th missing numbrs in th spas. This also applis to imals by xamining th valus in th tnths, hunrths t. plas. Unit Pla valu pag 9 A n abaus is ra as th numbr o iss abov ah lttr. U = units, T = tns, H = hunrs, Th = thousans, TTh = tns o thousans an HTh = hunrs o thousans. HTh TTh TH H T = 0 This also applis to imals by showing th imal point an thn th Tths = tnths an Hths = hunrths. S Unit No. < mans lss than an > mans gratr than. So < 9 ras as is lss than 9, whih is tru. 0.9 > 0. ras 0.9 is gratr than 0. whih is also tru. Numbrs an b srib with approximations or statmnts,.g. 9 is roughly ity thousan as 9 rouns to Unit Numbrs gratr than on million pag 0 an S Unit No. Orring numbrs an b trmin by looking at th irst igits o th sam pla valu,.g. millions an omparing. I th igits ar th sam, thn look at th nxt numbr working lt to right an so on..g. is largr than 9 by omparing th valus o th tns o thousans. Not: asning orr mans smallst to largst an sning orr mans largst to smallst. Rouning mans giving an approximat answr. To roun a numbr to th narst million, xamin th numbr in th hunrs o thousans position. I it is or gratr, th numbr is roun up to th narst million. I it is lss than, th numbr is roun own to th narst million..g. as th numbr in th hunrs o thousans position is, thn th numbr is roun own to Unit Numbr pattrns () pag 0 S Unit No. ; s Unit No. A tabl an b omplt by looking at th numbr pattrn (s Unit No. ) an thn th gri is ill in. A rul is a simplii way o xprssing a pross..g. mans ah numbr is multipli by. This an also b appli to numbr pattrns. U Unit Expaning numbrs pag To writ th numbr rom th xpan orm, tak th irst igit o ah numbr in th quation an put it in orr o pla..g givs th igits,,, 9 an so th numbr is 9. Not: i thr is no igit in a rtain pla, thn a zro is writtn. To xpan a numbr, brak th numbr into its omponnts o hunrs o thousans, tns o thousans an so on. Writ as an aition quation..g. 9 = Th numbr o tns is all o th numbrs in th tns pla an to th lt..g. has tns 9 has tns has tns Th sam ia applis to hunrs, thousans, an so on..g. has thousans. Unit Positiv an ngativ numbrs pag A ngativ numbr is a numbr lss than zro an is rprsnt by a sign..g., _, 0. 0 S Unit No. Simpl quations an b omplt by thinking about th numbrs on a numbr lin, an th t o th opration..g. = 0 Unit Aition rviw pag Whn aing largr numbrs, it is possibl to ignor th zros, a th amiliar numbrs an thn put on th ignor zros..g a + = 9 thn put two zros on = 900 Eithr o th ollowing thr stratgis oul b us: Th split stratgy: whr th numbrs ar xpan into thir pla valus an numbrs o th sam valu ar a togthr..g. + = (0 + 0) + ( + ) = 0 + = Th ompnsation stratgy: whr th numbr is roun to th narst or 0, th roun numbrs ar a an thn th irn rom th rouning is a or subtrat..g. + 9: + 0 = As 9 is roun up, so th answr is ount bak by. So + 9 = Th jump stratgy: whr w start with th irst numbr an thn xpan th son numbr into its omponnts, an ah omponnt is a rom largst to smallst..g. 0 + = = 90 + = 9 To stimat is to mak a snsibl guss. This an b omplt by rouning to th narst hunr an thn using on o th stratgis o No. to a. To a vrtially, start at th right an a th numbrs togthr. Writ in th units an arry any tns. Thn mov to th tns, hunrs t. through to th lt arrying as nssary..g. + 9 Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

8 START UPS: Units 9 Unit Aing to pag an Aing thr or mor numbrs is th sam as aing two numbrs. (S Unit No. ). With quantitis on t orgt th units! Examin ah solution an in th missing numbr by ounting on or subtrating. Writ th answr in th box..g Not: this also applis to subtration an multipliation. Aitions an b omplt with numbr an wor quations. Unit 9 Aing larg numbrs pag S Unit Nos I th numbrs bing onsir ar rom 0 to 99, thy ar roun own to th narst thousan, an i thy ar rom 00 to 999, thy ar roun up to th narst thousan..g. is roun own to 000. Unit Subtration to pag Subtration an b omplt with largr numbrs. S Unit 0 Nos. S Unit Nos an Don t orgt th units an quantitis! S Unit 0 No. Unit Subtrating larg numbrs pag S Unit 0 Nos an s Unit No. S Unit 0 No. Unit 0 Subtration rviw pag Subtration is th pross o taking on quantity away rom anothr. It an b omplt with numbrs or wors. Traing ours whn a subtration suh as 9 annot b omplt so a tn ns to b tra..g. 9 A tra rom th maks 9. S Unit No. Dirn also mans subtration. Unit Mntal stratgis or subtration pag Whn subtrating largr numbrs, it is possibl to ignor th zros, subtrat th amiliar numbrs an thn a on th ignor zros..g. 0 0: = thn a bak zro So 0 0 = 0. an Eithr o th ollowing stratgis oul b us. Th jump stratgy: whr th son numbr is xpan, thn ah pla valu rom gratst to last (lt to right) is subtrat rom th irst numbr..g. 9 = 9 0 = = Th ompnsation stratgy: whr th irst numbr is roun (an/or th son) to th narst or 0, thn th numbrs subtrat. Finally th irn is ount bak or on..g. 9 is about 0 = As is roun up by to, ount bak. As 9 was roun up to 0 an thn subtrat, ount on. Ovrall, ount bak. So, 9 = S Unit 0 Nos or whn subtrating rom numbrs with zros it is asir to mak th numbrs n with a 9, so 000 boms 999 as it is asir to subtrat rom..g. 00 is about 99 = thn ount on by so 00 = Unit Rouning numbrs pag S Unit No. For a numbr ning in,, or it is roun own to th narst tn, an or a numbr ning in,,, or 9 it is roun up to th narst tn,.g. is roun own to 0. I th numbrs bing onsir ar rom 0 to 9, thy ar roun own to th narst hunr an i thy ar rom 0 to 99, thy ar roun up to th narst hunr..g. is roun up to 00. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Unit Estimation pag S Unit No. an S Unit No. Aition an subtration ar invrs oprations. This mans thy ar opposit or rvrs oprations, an thy uno ah othr..g = or 0 = + 0 = Unit Multipliation tabls () pag an Multipliation is th total numbr in th groups or rows. It an b srib with a numbr sntn suh as = or or in wors. Prout, groups o, tims an lots o all man multiply. Not: 0 anything = 0 an anything = itsl. Missing numbrs an b oun by invrs oprations..g. = = = so = or by saying multipli by what quals? Unit Multipliation tabls () pag S Unit Nos an Th total numbr o ays in on wk is. Unit Multipliation rviw pag an S Unit Nos an S Unit No. Unit 9 Multipliation o tns, hunrs an thousans () pag S Unit No. To multiply by groups o tns, hunrs an thousans, start at th right an multiply to th lt arrying as rquir..g. 0 0 Not: it is possibl to multiply th amiliar numbrs irst, suh as x = an thn a th rquir numbr o zros: or tns so 0 = 0 or hunrs so 00 = 00 or thousans so 000 = 000

9 START UPS: Units 0 Unit 0 Multipliations o tns, hunrs an thousans () pag S Unit 9 Nos Whn numbrs ar multipli that both hav tns,.g. 0 0, thn multiply th amiliar numbrs irst so =. Thn ount th numbr o zros in th qustion, in this as, an a ths to th n o th answr. So 0 0 = 00. Not: this applis to hunrs an thousans, an so on. Don t orgt th units o quantitis! Unit Multipliations o tns, hunrs an thousans () pag 9 an S Unit 0 Nos Whn multiplying by tn a zro, so x 0 = 0 Whn multiplying by hunr a zros, so x 00 = 00 Whn multiplying by thousan a zros, so x 000 = 000 S Unit Nos, an Unit Multipliation pag 9 Largr numbrs an b multipli by working right to lt: Multiply by = Multiply by =, writ th an arry th. Multiply by =, a th =. Writ to omplt th answr,. Unit Multipliation by -igit numbrs pag 0 With multipliation by -igit numbrs, work right to lt multiplying by th units valu an thn th tns..g. ( ) ( 0) total Not: this is th sam as xpaning th two-igit numbr into its tns an units,.g. = 0 +, an omplting two multipliations an thn aing thm togthr. S Unit No. Unit Extn multipliation () pag 0 S Unit 0 Nos S Unit 9 Nos S Unit Nos Unit Extn multipliation () pag S Unit Nos Don t orgt th $ sign! Unit Extn multipliation () pag an S Unit Nos To in th missing numbrs, look at th n numbr o th irst part o th answr, thn work bakwars to in what =?.g. ( ) ( ) 9 Missing numbr is Unit Extn multipliation () pag S Unit Nos Don t orgt th $ an units! Unit Multipls, ators an ivisibility pag Divisor Divisibility tst Th numbr must b vn,.g. ns in 0,,, or. Th sum o th igits must b ivisibl by..g. : + + = 9 whih is ivisibl by. Th numbr ma by th last two igits must b ivisibl by,.g. or, whih is ivisibl by. Th last igit must b 0 or. Th numbr ma by th last thr igits must b ivisibl by,.g. or, whih is ivisibl by. 9 Th sum o th igits must b ivisibl by 9,.g. or 0, = 9. 0 Th last igit must b a 0. A ator is a numbr whih ivis vnly into anothr numbr,.g. is a ator o. A numbr may hav many ators,.g.,,,, an ar all ators o. A multipl is th prout o a numbr s ators, so is a multipl o an..g. Th irst multipls o ar: =, =, = 9 so,, 9. Unit 9 Multipliation stratgis pag S Unit 0 Nos Using oubls mans oubling a numbr an is th sam as multiplying by. Doubling a numbr twi is th sam as multiplying by. Doubling a numbr thr tims is th sam as multiplying by..g. 0 = 0 0 = 0 = 0 = 0 0 = 0 = 0 = 0 = 0 S Unit Nos Unit 0 Estimating prouts pag S Unit Nos an Unit 0 Nos S also Unit Nos Unit Division prati pag Division is th sharing or grouping o a numbr or quantity into qual amounts. Groups o an sharing also man ivision. Division an b writtn as 9 = or 9) To in th missing igit, th invrs opration multipliation, an b us..g. = x = thn = Unit Division rviw pag S Unit Nos an Whn a ivision or grouping is ma, an thr ar som itms or an amount lt ovr, ths ar all rmainrs. Th abbrviation or rmainr is r,.g. = groups an rmainr whih an b writtn as r. Th numbr o shars is also all th quotint. Whn iviing largr numbrs that inlu zros, th zro an b ignor an th amiliar ivision omplt, thn th zro an b a bak onto th n..g. To alulat 0, = Thn 0 = 0 Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

10 START UPS: Units Unit Division with rmainrs pag S Unit Nos an Division an b omplt working lt to right. Rmmbr i it is not possibl to ivi th irst igit, mov to ivi th irst two igits..g. ) Rmainrs an also b oun omplting largr ivisions. S Unit Nos an. Unit Division o numbrs largr than 999 pag an S Unit No. (on t orgt units!) S Unit Nos To in th missing numbr, us th invrs opration, multipliation, working right to lt..g. = ) = = Unit Division with rmainrs rations pag Rmainrs o ivision quations an b xprss as a rmainr (r), as a ration o th ivisor (th numbr iviing) or a imal. To in th rmainr as a ration, omplt th ivision as pr usual (s Unit No. ) an thn th rmainr is writtn ovr th ivisor..g. r = ) Not: a ration shoul always b writtn in its simplst orm. Unit Division with zros in th answr pag S Unit No. an Unit Nos Complt th ivision as usual (s Unit No. ). I a numbr annot b ivi into, thn a zro is writtn abov..g. 0 ) S Unit No. an Unit Nos S Unit No. an Unit Nos an on t orgt th units an quantitis. Unit 9 Extn ivision pag Extn ivision is th sam as short ivision xpt mor stps n to b omplt. It is st out with ah smallr ivision an th subtrations visibl..g. ) = = 0 Not: th irl numbrs ar th sam as th answr. Thr may b a rmainr rsulting rom an xtn ivision an this is writtn as a rmainr or a ration. S Unit No.. Not: i thr is a rmainr, this ns to b a to th last numbr o th multipliation..g. r = ) =, + = Unit Division with zros in th ivisor pag an Rmmbr whn iviing by 0, mov th imal point on pla to th lt..g. 0 0 = an 0 =. S Unit Nos Th numbr o millimtrs in ntimtr is 0. Thror to hang millimtrs to ntimtrs w ivi by 0 an hang th units to m. Unit Division by numbrs with zros pag S Unit Nos an Whn iviing by 00 mov th imal point two plas to th.g = an S Unit Nos an, thn ivi th amiliar numbrs..g. 0 ) 0 Divi both numbrs by 0 irst giving: ) Not: a imal answr is possibl. Th imal point is writtn in th answr abov th imal point in th qustion an th ivision is ontinu as usual. Only alulat to two or thr imal plas. Unit 0 Avrags () pag an Th avrag is th sum o all th numbrs or totals ivi by how many numbrs or totals..g. Th avrag o, 0 an = = Not: man is anothr nam or th avrag. Th avrag sp is oun by iviing th total istan travll by th tim takn..g. hours to riv km, thror = so km/h. Don t orgt: units ar vry important! Unit Avrags () pag 9 S Unit Nos S Unit 0 Nos an Unit Invrs oprations an hking answrs pag 9, an S Unit No. Multipliation an ivision ar invrs oprations..g. = or = = or = Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

11 START UPS: Units Unit Numbr lins an oprations pag 0 A numbr lin is a lin mark with numbrs in orr ovr an intrval..g Oprations (+,, an ) an b prorm on a numbr lin, using th jump stratgy..g Thror 0 + = Unit Orr o oprations () pag 0 Th orr o oprations is th orr in whih th irnt oprations shoul b omplt. This is known as BODMAS or PEDMAS. Qustions with, only shoul b work lt to right. Complt th brakts irst thn multipliation an ivision, an inally aition an subtration. B brakts P parnthsis O ovr E xponnts D ivision D ivision M multipliation M multipliation A aition A aition S subtration S subtration.g. ( + ) = = 9 but without brakts: + = Unit Orr o oprations () pag S Unit Nos Unit Orr o oprations () pag S Unit Nos Unit Orr o oprations with imals an rations pag Th sam ruls apply with imals an rations, or orr o oprations, s Unit Nos Unit Numbr pattrns () pag, an S Unit No. S Unit No. Unit 9 Numbr pattrns () pag S Unit No. S Unit No. S Unit No. Unit 0 Mix oprations pag S Unit No. an Unit Nos an S Unit Nos S Unit No. an Unit Nos Unit Zro in oprations pag S Unit Nos S Unit No an Unit 0 Nos S Unit 9 Nos an Unit No. S Unit No Unit Equations pag an To in th valu o th lttr or symbol or box, us invrs oprations (s Unit No. an Unit Nos )..g. 0 = x Say what ivi by quals 0? Answr is 0. Thror x = 0 an To in th valu o th lttr or missing amount, alulat th answr o th omplt quation an thn us invrs oprations (S Unit No. an Unit Nos ). Unit Binary numbrs pag Th binary systm is us by omputr programmrs. Binary notation: sixtn ight ( + ) ( + + ) our 0 two on Unit Oprations with mony pag Thr ar irnt oins: $, $, 0, 0, 0 an an irnt nots: $00, $0, $0, $0 an $ in th Australian Mony Systm. Mony is roun to th narst. Amounts ning in or ar roun own to th narst 0, amounts ning in or ar roun up to th narst, amounts ning in or ar roun own to th narst an amounts ning in or 9 ar roun up to th narst 0..g. $. is roun up to $.0. Aing an subtrating mony is lik normal aition (s Unit No. ) an subtration (s Unit 0 Nos ) xpt th imal point ns to b lin up irst an thn arri through into th answr. Don t orgt th $ an signs! Multipliation with mony is lik normal multipliation (s Unit 9 Nos ), xpt th imal point is ignor until th n o th alulation, whn th total numbr o imal plas ns to b ount rom th qustion an this ns to b ount bak in th answr..g. $. $. Thr ar two imal plas in th qustion, thror two imal plas in th answr. With ivision, th imal point ns to b lin up irst in th answr with that in th qustion, an thn th ivision is omplt as usual (s Unit No. ). Not: only imal answrs ar givn an ths ar to only two imal plas. Chang is th lt ovr amount o mony ow bak to th prson atr th purhas. It an b oun by ounting on..g. Th hang rom $.00 atr spning $.0 is 0 whih maks $.00 an $.00 maks $.00. Thror th total hang is: $ = $.0 Unit Equations with numbrs an wors pag an Lttrs or symbols an b us to rprsnt valus. Thy an thn b us in quations. Invrs oprations an b us to in th valus o ths lttrs or symbols..g. M + M + M = 0 As ah lttr is th sam, it must rprsnt th sam valu. As thr ar Ms thn M = 0 M = 0 Try: = 0 Equations writtn in wors an b rwrittn with just numbrs an solv. S Unit Nos Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

12 START UPS: Units 0 Unit Substituting valus pag S Unit Nos an S Unit No. an Unit Nos S Unit No. Unit Numbr sntns () pag S Unit Nos an S Unit Nos an S Unit No. Unit Numbr sntns () pag S Unit Nos an S Unit No Unit 9 Numbr sntns () pag S Unit Nos an S Unit No. S Unit Nos an Unit 0 Squar an ub numbrs pag A squar numbr is th numbr that rsults rom multiplying anothr numbr by itsl..g. = = 9 A ub numbr is th numbr that rsults rom multiplying anothr numbr by itsl twi mor..g. = = Not: it is not tims th numbr as = Squar an ub numbrs an b us in alulations. Fin th valu o th squar an ub numbrs irst, an thn omplt th quation as normal. Unit Working with numbrs pag 9 S Unit No. an Unit Nos Immiatly atr mans to ount on by. Immiatly bor mans to ount bak by. Gratr than an mor than mans to ount on. Lss than mans to ount bak. To a on 0 000, a to th tns o thousans pla, arrying as nssary. A tr iagram allows us to brak a numbr into its ators (s Unit Nos ) in a graphial way..g. Th ator tr is stopp whn prim ators (ators whih ar prim numbrs or numbrs that ar only ivisibl by on an thmslvs) ar rah on ah o th branhs. Unit Chang o units pag 9 an To hang btwn lngth units 0 mm = m 00 m = m 000 m = km an To hang btwn wight units 000 g = kg 000 kg = tonn an To hang btwn tim units 0 s = min 0 min = h h = ay Unit Ngativ numbrs pag 0 S Unit Nos S Unit Nos Unit Prim an omposit numbrs pag 0, an Prim numbrs ar numbrs that ar only ivisibl by an thmslvs,.g.,,. Not: is not a prim numbr. Composit numbrs ar numbrs whih hav ators othr than an thmslvs,.g., 0, 90. S Unit No. Unit Frations pag Th numrator is th top numbr part o a ration (ovr th lin). It shows how many parts out o a whol. Th nominator is th bottom numbr part o th ration (blow th lin). It shows how many parts ar in th whol..g. _ is out o qual parts. Frations an b rprsnt with iagrams whr th ration is th sha/olour part..g. _ is rprsnt by: or or Th ration o a group an also b rprsnt with a iagram: _ is rprsnt by or or Unit Fration o a group () pag Th ration o a group an b oun by iviing th numbr o th group by th nominator o th ration an thn multiplying by th numbr o rquir groups (th numrator). _.g. o 0 0 = an = _ o = an x = Unit Fration o a group () pag S Unit Nos. Not: to in how muh mor, subtrat th ration rom an solv as usual. Unit Equivalnt rations () pag An quivalnt ration is a ration that has th sam valu or amount..g. all o th ollowing rations ar qual to _. _ = _ = _ = _ = = = = An quivalnt ration an b oun by using th ia o what is on to th bottom is on to th top. Th numrator an nominator ar always multipli or ivi..g. _ = 0 both th nominator an numrator ar multipli by = 0 9 both th nominator an numrator ar ivi by 0 Whn omparing rations, it is asir to irst mak th rations ovr th sam nominator by ithr multiplying or iviing th ration. Thn thy an asily b ompar. S Unit No.. Unit 9 Equivalnt rations () pag S Unit Nos Unit 0 Equivalnt rations () pag, an S Unit Nos S Unit No. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

13 START UPS: Units 0 Unit Impropr rations an mix numbrs pag An impropr ration is a ration that is largr than on. Th numrator is largr than th nominator..g. _ is or A mix numbr is a numbr writtn as a whol numbr with a ration,.g. _ or an It is possibl to simpliy impropr rations to mix numbrs by iviing th nominator into th numrator to in how many whol numbrs thr ar an th rmainr is writtn as a ration..g. 9 = whol with lt ovr = A mix numbr an b writtn as an impropr ration by multiplying th nominator by th whol numbr an aing th numrator. This total is pla ovr th nominator..g. For + = 9 So, = 9 Unit Using rations pag S Unit No. Frations with th sam nominator an b a..g. + = (as + = ) Frations with irnt nominators an b a by irst making th nominators th sam (s Unit Nos ), thn th rations ar a as usual..g. _ + Making th nominator th sam: + _ Now a + = Th answr is. Not: i th answr is an impropr ration it shoul b simplii..g. = Frations with th sam nominator an b subtrat..g = 0 = Frations with irnt nominators an b subtrat by irst making th nominators th sam (s Unit Nos ), thn th rations ar subtrat as usual..g. 0 _ Making th nominator th sam: 0 0 Now subtrating: = Th answr is 0. To multiply rations Th numrators ar multipli togthr an thn th nominators ar multipli togthr. I thr is a whol numbr, thn put th whol numbr ovr, so = an =..g. _ = _ = Th ration is thn simplii i nssary: = _ Unit Fration aition pag, an S Unit No. A numbr lin an b us to a rations..g. _ + _ = 0 Unit Fration subtration pag S Unit Nos S Unit No. (on t orgt that irn mans subtration). Unit Fration aition an subtration pag S Unit No. S Unit Nos an S Unit No. S Unit No. Unit Fration multipliation () pag S Unit Nos an S Unit No. Rpat aition is th pross whr a numbr multipli many tims an b xprssas an aition quation..g. = + + = This also applis to rations..g. = + + = Not: th multipliation an th aition quations giv th sam answr. Unit Fration multipliation () pag S Unit Nos S Unit Nos S Unit No. Unit Fration multipliation () pag S Unit Nos S Unit No Whn multiplying two rations togthr, th numrators ar multipli togthr an thn th nominators ar multipli togthr..g. ( ) = ( ) = I rquir, th answr shoul b simplii. Not: th nominators o not n to b th sam. S Unit No. (on t orgt units or quantitis!) Unit 9 Fration multipliation () pag S Unit No. S Unit Nos S Unit No. Unit 0 Dimal pla valu thousanths pag S Unit No. A imal is part o a whol an an b writtn in numbrs or wors,.g.. = our point two ight or our units an twnty-ight hunrths. S Unit No. To writ a ration as a imal, th numbr o zros in th nominator o th ration iniats th numbr o imal plas..g. 0 has on imal pla an is has two imal plas an is has two imal plas an is. Not: i th numbr is lss than on, thn a zro is writtn in ront o th imal point..g. 0. Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

14 START UPS: Units Unit Dimal aition pag 9 Dimal aition is th sam as rgular aition. Tns, units, tnths, hunrths an so on all n to lin up in th orrt pla valu olumns. Th asist way is to lin up th imal point irst..g Traing is trat in th sam way..g Th imal point position also ontinus in th answr. Not: any missing igits an hav zros a to kp th olumns onsistnt..g.. +. boms an S Unit No. Unit Dimal subtration pag 9 an Dimal subtration is th sam as rgular subtration. Tns, units, tnths, hunrths an so on all n to lin up in th orrt olumns. Th asist way is to lin up th imal point irst..g Traing is trat in th sam way..g Th imal point position also ontinus in th answr. Not: any missing numbrs an hav zros a to kp th olumns onsistnt..g... 9 boms S Unit No. Unit Dimal multipliation pag 0 Whn multiplying imals, multipliation is omplt as usual xpt th imal point is ignor until th n o th alulation. Thn th total numbr o imal plas in th qustion is ount an this is th numbr o imal plas rquir or th answr..g. Two imal plas in qustion, so two imal plas in answr.. 0. Thror th answr is 0. Not: on t orgt to inlu any units an signs. Unit Dimal ivision pag 0 Dimal ivision by a whol numbr is omplt as usual. Th imal point in th answr is lin up abov th imal point in th qustion..g.. ).9 I th ivision osn t go, suh as, thn a zro is writtn as in normal ivision. Not: on t orgt any units an signs. Also, only stat answrs to two imal plas or mony an quantitis. Unit Multipliation an ivision o imals () pag Whn multiplying by 0, mov th imal point on pla to th right,.g..9 0 =.9 Whn multiplying by 00, mov th imal point two plas to th right,.g.. 00 = Whn multiplying by 000, mov th imal point thr plas to th right,.g = 9 Not: a zro is a i thr ar not nough plas to mov th imal point..g.. 00 = 0 Whn iviing by 0, mov th imal point on pla to th lt,.g.. 0 =. Whn iviing by 00, mov th imal point two plas to th lt,.g = 0.9 Whn iviing by 000, mov th imal point thr plas to th lt,.g = 0. Not: a zro is a i thr ar not nough plas to mov th imal point..g.. 00 = 0.0 Unit Multipliation an ivision o imals () pag S Unit Nos an Unit Nos an S Unit Nos an Unit Nos an Unit Frations an imals pag S Unit 0 No. To writ a imal as a ration, irst ount th numbr o imal plas. This ns to b th numbr o zros in th nominator, thn th numbr ns to b writtn as th numrator..g. 0. has two imal plas, thror th nominator is 00. Th answr is 00. To onvrt rations that o not hav a nominator o 0, 00 or 000, irst in th quivalnt ration (s Unit Nos ) o th ration ovr 0 or 00 or 000, an thn onvrt as usual (s Unit 0 No. )..g. _ = 0 = 0. Dimals an b rprsnt on a hunrs squar..g. is 00 or 0. Unit Rouning imals pag an Rouning imals is th sam as rouning whol numbrs. S Unit. Numbrs roun to on imal pla only hav on numbr atr th imal point. Numbrs roun to two imal plas hav two numbrs atr th imal point. To roun to th narst whol numbr, any numbr with a imal o 0. or gratr rouns up,.g.. boms. Any numbr with a imal o lss than 0. rouns own,.g.. boms (s Unit No. also or stimation). S Unit Nos an Unit Nos an Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

15 START UPS: Units 9 9 Unit 9 Prntags () pag an Prntag mans out o 00. It is rprsnt with th prntag sign %. Thror 0% is 0 out o 00 or twnty prnt or 0.. To xprss a imal as a prntag, xprss th imal as a ration ovr 00,.g. 0. = 0 an thn writ as a prntag, 00.g. 0%. an To xprss a prntag as a imal, xprss th prntag as a numbr out o 00 an thn writ as a imal..g. % = 00 = 0. To ompar rations, imals an prntags, xprss th amounts in th sam ormat,.g. all rations or all imals or all prntags an thn ompar..g., 0%, All xprss as imals: 0., 0.0, 0. Now th largst an b intii: 0. Unit 90 Prntags () pag To in a prntag o a quantity or numbr, xprss th prntag as a ration or imal an thn multiply by th numbr..g. 0% o 0 = = = or 0% o 0 = 0. 0 = Not: on t orgt th units! S Unit 9 No. To in th isount (th ru amount), in th prntag o th amount..g. 0% isount o $00 is 0 00 $00 = $0 Unit 9 Prntags () pag Rmmbr % =, 0% =, 0% = S also Unit 90 Nos S Unit 90 Nos S Unit 90 No.. Th isount pri is th original pri minus th isount..g. Givn th isount is $0 an th original pri o $00, thn th isount pri is $00 $0 = $0. Unit 9 Frations, imals an prntags pag S Unit 9 Nos an S Unit 9 No. To xprss a ration as a prntag, writ th ration as a ration ovr 00. Thn th prntag is th valu o th numrator..g. 0 = 0 00 = 0% S Unit 9 No. Unit 9 Mony in shopping pag S Unit No. S Unit No. S Unit Nos S Unit Nos Unit 9 Mony in banking pag A posit is th amount put into an aount, suh as ash, hqus or salary an it is a. A withrawal is th amount takn out o th aount, that is ash, hqus or loans an it is subtrat. Th aount givs a running total o th posits, withrawals an th total amount. Intrst is th amount arn by having th mony in th aount an it is a also. Dirnt ountris hav irnt urrnis (or mony). On Australian ollar is worth irnt amounts in irnt ountris,.g. Australian ollar = Canaian nts, is a Euro an is us in Europ. This inormation an b us to in what itms ost in irnt ountris or what thy ar worth in Australian mony..g. a $ hat is worth $ in Australia but is worth 0. = $0. in Canaa (so it sms hapr). Unit 9 Symmtry pag Symmtry is whn on hal o th shap is a rltion o th othr hal. So whn ol on th lin (axis) o symmtry, th two halvs it xatly..g. lin (or axis) o symmtry Not: a shap may hav mor than on lin o symmtry..g. Rotational symmtry is whn th traing o a shap maths, atr th shap is rotat part o a ull turn..g. Unit 9 Rotational symmtry pag, an S Unit 9 No. Th numbr o tims a shap maths its original position as it is rotat in on rvolution is known as th orr o rotational symmtry..g. Th shap has rotational symmtry o orr. Unit 9 Diagonals, paralll an prpniular lins pag Prpniular lins ar straight lins whih mt or ross at 90 (or right angls). Paralll lins ar straight lins that rmain th sam istan apart, nvr mting. Diagonals o a shap go rom on ornr o a shap to othr ornrs xpt th nighbouring ornrs..g. A squar has two iagonals. S Gomtry Unit on pag Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

16 START UPS: Units Unit 9 Paralll, horizontal an vrtial lins pag an S Unit 9 Nos an Horizontal lins ar straight lins that ar prtly lvl, lik th horizon. Vrtial lins ar straight lins at right angls to th horizontal. S Unit 9 Nos Unit 0 Raing angls () pag 9 S Unit 99 Nos an For angls largr than 0, th protrator an b turn aroun (on t lip) to masur th amount o angl blow th lin an this is thn a to 0 to giv th angl..g. 0 Unit 99 Angls pag An angl is th amount o turn btwn two straight lins (arms) ix at a point (vrtx). An angl an b masur using a protrator. Th ntr o th protrator is pla at th vrtx o th angl an th baslin is pla on on o th angl s arms. Thn th sal is ra aroun to th othr arm..g. vrtx arms = 90 or th smallr angl an b masur an subtrat rom 0..g. 0 0 = 90 S Unit 99 Nos an an Unit 00 Nos Not: a right angl is qual to 90. It is otn iniat with a small squar..g. Not: or an angl aing lt, it is possibl to us th othr sal. B arul to always start rom 0. An aut angl is btwn 0 an 90..g. or Unit 0 Drawing angls pag 9, an To raw an angl with a protrator, raw a horizontal lin an labl on n with a ot. ) An obtus angl is btwn 90 an 0..g. or ) Pla th ntr o th protrator on this ot an th baslin along th horizontal lin. protrator ) ) Unit 00 Raing angls () pag an A rlx angl is btwn 0 an 0..g..g. Ra aroun on th sal to th sir valu an mark..g. 0 an A straight angl masurs xatly 0..g. S Unit 99 Nos S Unit 99 Nos an an. Not: a rvolution is qual to 0..g. Join th vrtx an this point to omplt th son arm. ) 0 Labl th angl. S Unit 99 Nos an Unit 00 Nos, an To raw a rlx angl, raw th lin o 0 an thn a th appropriat angl to omplt th angl by turning th protrator aroun (on t lip it)..g. 0 0 Or subtrat th givn angl rom 0 to in th angl. To raw givn 0, 0 0 = 00. Draw Labl th outsi o th angl insta o th insi. 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

17 START UPS: Units 0 Unit 0 Angl ats pag 0 A straight angl is 0, so i on angl is known thn th othr an b oun by ounting on to 0 (or subtrating rom 0 ). Ajant angls ar angls that hav a ommon ray. Th sum o all angls in a triangl is 0. That mans th thr angls in a triangl always a up to 0. Thror i two angls ar known, thn th thir an b oun by ounting on to 0 (or subtrat th total o th two known angls rom 0 ). 0 0.g = = 0 Th missing angl is 0 Missing angls an b oun using angl ats..g. To in a: = 0 (straight angl) An 0 + a = 0 (supplmntary angls i.. angls that a up to 0 ) So a = 0 This an also b omplt via obsrvations as th lins ar paralll, so th angls in th sam position must b qual. Unit 0 D objts pag 0 A D objt (soli) has thr imnsions; lngth, brath an hight (pth). S Gomtry Unit on pag A prism is a soli shap with two intial bass an all othr as ar rtangls. A prism taks its nam rom its bas..g. triangular prism vrtx A pyrami is a D shap with a polygon as a bas an triangular as that mt at a vrtx. A ross-stion is th shap (a) that is sn whn a D objt is ut through. g A a is th lat sura o a D shap. An g is whr suras mt. A vrtx (ornr) is a point whr gs mt. ) ) )a ) 0 a vrtx Unit 0 Drawing D objts pag D objts ar onstrut o amiliar D shaps. S Gomtry Unit on pag Unit 0 Proprtis an viws o D objts pag S Unit 0 Nos, an. A sura is th outr sura o an objt. Th sura may b lat or urv. Dirnt shaps will b sn rom irnt viws. ar irnt viws o a ylinr. A stak is a pil o D objts. In this as all objts in ah stak ar th sam. Unit 0 Cylinrs, sphrs an ons pag A on is a D objt with a irular bas an a urv sura that mts at a vrtx. A ylinr is a D objt with on urv sura an two qual irls as as. Unit 0 Paralllograms an rhombuss pag A paralllogram is a spial quarilatral whih has two sts o paralll sis. Also, opposit sis an opposit angls ar qual. Not: a rtangl, squar, rhombus an iamon ar all paralllograms. A rhombus is a paralllogram with qual sis an qual opposit angls. Unit 09 Gomtri pattrns pag A pattrn is a rpat sign or rurring squn. Ths pattrns ar bas on gomtri shaps. For Nos, as wll as ounting th numbr o sis, it is possibl to vis a rul so th numbr o sis os not n to b ount ah tim..g. For rtangls, th total numbr o sis = n whr n = th numbr o rtangls. Unit 0 Cirls pag A irl is a D shap whih is boun by a lin whih is always th sam istan rom th ntr. Th ntr is th xat mil o th irl. Th raius is th istan rom th ntr o th irl to th irumrn o th irl. raius irumrn Th iamtr is a straight lin passing through th ntr o a irl, joining two points on th irumrn. Th irumrn is th istan (primtr) aroun a irl. Th ar is part o th irumrn o a irl. Th stor is a stion boun by two raii an an ar on th irl. A smiirl is hal th insi o a irl. Conntri irls ar irls with a ommon ntr. ar smiirl iamtr ntr stor Unit Nts an D objts pag S Unit 0 No. an Unit 0 Nos an Gomtry Unit (pag ) S Unit 0 No. A nt is th lat pattrn whih an b us to mak a D objt. Thr shoul b no ovrlaps..g. A sphr is a D objt that is prtly roun lik a ball. S Unit 0 Nos, an an Unit 0 Nos Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

18 START UPS: Units Unit Sal rawings pag A sal is us to tll how larg an objt or itm on a map or iagram rally is. A sal suh as m : 00 m ras as m on th iagram rprsnts 00 m ( m) in ral li,.g. th atual itm is 00 tims largr than in th iagram. For a sal o m: 00 m m : 00 m or m : 00 m or m : m Unit Sal rawings an ratios pag S Unit Nos Unit Tssllation an pattrns pag A tssllation is a rpating pattrn o on or mor intial shaps that it togthr without any gaps or ovrlaps. A rltion (lip) is a shap or objt as sn in a mirror..g. Z Z A translation (sli) is to mov a shap or objt lt/right or up/ own without rotating it..g. Z Z mov right Z mov up Z A rotation (turn) turns a shap or objt about on point in ithr a lokwis or anti-lokwis irtion..g. Z Z is a lokwis rotation aroun th blak ot. Unit Compass irtions pag A ompass is an instrumnt that shows irtion. Its points ar: N W NW SW whr N = north, S = south, W = wst an E = ast. S Unit Maps () pag an S Unit Nos Distan is th lngth btwn two points (objts or loations). Unit Maps () pag Coorinats (gri rrns) ar us to show position on a gri. Thy ar rprsnt by pairs o lttrs or numbrs..g. (A, ) or (, ) or (B, C) Th irst oorinat is th horizontal or x-valu an th son oorinat is th vrtial or y-valu. S Unit Nos S Unit Nos NE SE E Unit Maps () pag S Unit 9 Nos S Unit Nos Unit 9 Coorinats () pag S Unit Nos S Unit Nos Unit 0 Coorinats () pag S Unit Nos S Unit Nos S Unit No. Unit Analog tim pag 9 an Tim is th spa btwn on vnt an th nxt. It is masur on a lok. Analog tim is rprsnt with a lok that has a lok a ial, numbrs, an hour han, a minut han an somtims a son han. To mov btwn ah numbr on th lok, th minut han taks minuts. 0 9 o lok 0 9 hal past Whn th minut han is pointing to th, it is stat as hal past an whn th minut han is pointing to th, it is stat as o lok. Whn th minut han is pointing to th, it is stat as quartr past an whn th minut han is pointing to th 9, it is stat as quartr to. 0 9 quartr to 0 9 quartr past To in a rtain amount o tim atr a rtain tim, ount on (by hours an thn groups o minuts woul b th asist) rmmbring to hang btwn am an pm as you ross btwn miay an minight. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

19 START UPS: Units Unit Digital tim pag 9 Digital tim is rprsnt on a igital lok, whih has numbrs that show th tim in hours an minuts. On a igital lok, th tim is ra as so many minuts past th hour,.g. : is minuts past. It an also b xprss as tim to,.g. : is minuts to. :00 is noon or miay. am mans ant mriim. It is any tim in th morning btwn minight an miay,.g. am or 9: am pm mans post mriim. It is any tim in th atrnoon or vning btwn miay an minight,.g. : pm or pm. S Unit No. Unit Digital an analog tim pag 0 S Unit Nos an S Unit Nos an, an Unit Nos Unit 9 Tim zons () pag S Unit Nos Tim zons ar th irnt tims that our in irnt stats an trritoris. In Australia thr ar tim zons: Eastrn Stanar (EST) _ Cntral Stanar (CST), whih is hour bhin Eastrn Stanar Tim Wstrn Stanar (WST), whih is hours bhin Eastrn Stanar Tim WA NT SA Ql Vi. NSW Eastrn Stanar Tim (EST) Cntral Stanar Tim (CST) hour bhin EST Wstrn Stanar Tim (WST) hours bhin EST Unit -hour tim () pag 0 -hour tim uss all hours o th ay an is xprss with igits. am or pm is not n. For am tims, th tim is xprss th sam xpt tims btwn an 9:9 am hav a 0 writtn in ront..g. 9:0 am is 090 hours. Tims btwn 0:00 am an :9 pm rmain th sam,.g. 0: am boms 0 hours. For pm tims, is a to th normal tim,.g. pm boms 00 hours. Thus to writ -hour tim as pm tim, is subtrat rom th tim..g. 90 hours boms :0 pm. Unit -hour tim () pag S Unit Nos S Unit No. an Unit Nos Tas. In summr NSW, ACT, Vi. Tas. an SA hav aylight savings. This is whr th loks ar mov orwar on hour on th last Sunay in Otobr an mov bak on th last Sunay in Marh. Unit 0 Tim zons () pag Noon Grnwih Sunay 00 Monay Unit Stopwaths pag A stopwath allows aurat masurmnt o tim intrvals. It givs tim in minuts, sons an hunrths o a son..g. 0:0:0 ras as minuts, 0.0 sons. S Unit Nos Unit Timlins pag A timlin is a iagram (lik a numbr lin s Unit Nos ) us to show th lngth o tim btwn vnts. Unit Timtabls pag, an A timtabl is a tabl whr tims ar organis or whn irnt vnts happn. Thy ar us in shools, on publi transport an in hospitals. Thy an b in am/pm tim or -hour tim. S Unit Nos Wst East Tim zons apply aroun th worl. On maps thr ar imaginary lins running North an South all mriians o longitu. As th Earth rotats on its axis, ah mriian will a th sun irtly in turn. It taks hours or th Earth to omplt on rotation. In hours th Earth rotats 0 grs, thror in on hour, th Earth turns through grs. Tim is masur rom Grnwih in Englan. So whn it is noon in Grnwih it is 0:00 pm at plas o longitu 0 E (raing on th map). To in th nw tims at th irnt longitus, ount on or ount bak by th appropriat tim irn. To in th tim at Grnwih, loat th tim on th lin o longitu on th map, an th irn will n to b a or subtrat to th tim at Grnwih. Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

20 START UPS: Units Unit Travlling sp pag an S Unit 0 No. an To in th istan travll, multiply sp by th tim. an To in th tim takn, ivi th istan travll by th sp. Unit Lngth in millimtrs an ntimtrs pag Lngth is th istan rom on n to th othr, or how long somthing is. It is masur with a rulr or a tap. Units inlu millimtrs (mm) or vry small lngths suh as th lngth o an ant, ntimtrs (m), mtrs (m) an kilomtrs (km) or longr lngths suh as th istan btwn two itis. Dimal orm is us to xprss irnt valus in a simplii orm..g. 9 mm =.9 m (imal orm) an m m =. m (imal orm). It is possibl to onvrt btwn th irnt units. 0 mm = m 00 m = m 000 mm = m 000 m = km.g. m = 00 m Whn omparing lngths, onvrt all o th lngths to th sam units suh as ntimtrs, an thn ompar. Whn aing or subtrating lngths, onvrt all to th sam units suh as ntimtrs, an thn omplt th opration. Unit Lngth in mtrs pag S Unit No. S Unit No. Unit Lngth in kilomtrs () pag S Unit No. S Unit No. Unit Lngth in kilomtrs () pag S Unit No. S Unit No. Th tabl is ra by ining th irst loation on th vrtial olumn, thn ining th son loation on th horizontal olumn an roring th numbr in kilomtrs whr th two lins mt..g. Brisban to Ali Springs is 9 km. Alai Ali Springs Brisban Alai 0 Ali Springs 0 9 Brisban 9 Unit Primtr () pag an Primtr is th istan aroun th outsi o a shap..g. P = m = 0 m Primtr is 0 m. an To in th primtr o a rgular shap, multiply th si lngth by th numbr o sis. Not: sis o qual lngth ar iniat by th ash on th sis..g. Lngth is th longr istan o an objt. Brath is th with rom si to si o th objt. Primtr o a rtangl is oun by aing lngth an brath. Unit 9 Primtr () pag S Unit No. S Unit Nos an S Unit Nos an I th primtr is known, it is possibl to work bakwars to in th si lngths..g. For a squar o primtr 0 m, as ah si lngth is th sam, ivi 0 m by so, ah si lngth is 0 m. Unit 0 Ara in m pag Ara is th siz o th sura o a shap. It is masur in squar units,.g. squar m (m ) or squar m (m ) or largr aras. Th ara o a rtangl an b alulat by multiplying th lngth by th brath. Th lngth is th longr si o th rtangl. m m.g. A = x = So th ara is m. Th ara o a squar an b oun by squaring th si lngth..g. A = m = (or = ) Ara is m. Unit Ara in m pag 9 S Unit 0 Nos Ara o non-rgular shaps an b oun by iviing th shaps into squars an rtangls. Th ara o ah o ths shaps is oun an thn all th aras ar a togthr to in th total ara..g. = 0 Unit Convrting lngths () pag S Unit No. S Unit No. Unit Convrting lngths () pag S Unit No. S Unit No. Total ara = 0 + = Th total ara is m. = Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

21 START UPS: Units Unit Ara o a triangl () pag 9 Th ara o a triangl is hal th ara o th rlat squar or rtangl. m.g. Ara rtangl = = Ara triangl = = Ara o th triangl is m. Th ara o a triangl an also b oun using th ormula: Ara = _ bas prpniular hight So A = _ b h.g. A = _ b h = _ ( ) = _ 0 = Ara is m. m m Unit Mass in tonns pag 9 A masurmnt or vry larg masss is tonns. tonn = 000 kg so t = 000 kg Unit 9 Mass in tonns an kilograms pag 9 Masuring vis suh as sals an wight balans ar us to masur mass. S Unit Nos Unit 0 Capaity in millilitrs an litrs () pag 9 Capaity is th amount a ontainr an hol. It is masur in litrs (L) or largr apaitis an millilitrs (ml) or smallr apaitis. litr = 000 millilitrs.g. L = 000 ml an 00 ml =. L Not: apaity an b writtn as L 0 ml or 0 ml or. L. m isplas ml o watr. Thror 0 ml woul b ispla by 0 m an 0 m woul ispla 0 ml. Not: 000 m = L o watr. m Unit Ara o a triangl () pag 90 S Unit Nos S Unit No. Unit Htars pag 90 A htar is us to masur larg aras suh as a arm or a national park. htar (ha) = m Thror ha = m an m = ha. Unit Capaity in millilitrs an litrs () pag 9 S Unit 0 Nos Unit Kilograms an litrs pag 9 litr o watr = kg ml o watr = g Unit Cubi ntimtrs an litrs pag 9 S Unit 0 Nos Unit Squar kilomtrs () pag 9 A squar kilomtr is us to masur vry larg aras suh as th ara o a ountry. It is qual to 000 m 000 m = m Thror km = 00 ha so km = 00 ha an 00 ha = km Unit Squar kilomtrs () pag 9 S Unit Nos Unit Mass in grams an kilograms pag 9 Mass is th amount o mattr in an objt. It is masur in grams (g) or lightr objts an kilograms (kg) or havir objts. kg = 000 g so kg = 000 g an 00 g =. kg Not: mass an b writtn as kg 00 g or 00 g or. kg. Unit Cubi ntimtrs pag 9 A ubi ntimtr (ntiub) is a stanar unit or masuring volum. Volum o a prism an b alulat by multiplying th lngth by th brath by th hight. Th lngth is th longr si o th bas. Th brath is th shortr si o th bas. Th hight is th tallnss o th prism. Its units ar ubi ntimtrs (m )..g. hight m V = = Volum is m. m m brath S Unit 0 Nos lngth Unit Cubi mtrs pag 9 A ubi mtr is a masurmnt or larg volums. Its abbrviation is m. S Unit Nos Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

22 START UPS: Units Unit Volum () pag 9 S Unit Nos Volum an b oun by ounting th numbr o ubs or omplting th alulation (s Unit Nos ). Unit Volum () pag 9 S Unit Nos an Unit Nos Volums o ubs an b oun by ubing th si lngth, as all si lngths ar qual..g. V = m = = m Volum is m. m To in th volum o an irrgular shap, ithr ount th ubs or sparat th shap into bloks whih mak rtangular prisms an ubs. Thn in th volum o ah blok an a th volums togthr to in th total volum. S Unit Nos Unit Arrangmnts () pag 9, an Chan is th probability or liklihoo o somthing happning. It an b srib with wors suh as rtain, impossibl, likly, unlikly or qual han. It an also b srib with a sal btwn 0 an, whr 0 = impossibl, = rtain an 0. = qual han. impossibl unlikly qual han likly rtain Unit Tabls an graphs pag 99 A pitur graph is a graph whih uss piturs to rprsnt quantitis..g. No. o shaps 0 Squar Cirl Shap Not: on pitur may rprsnt many itms..g. = shaps A tally is th pross o using marks to ror ounting. Not: rprsnts a group o..g. Tally Total Inormation ror as a tally in a tabl is otn all a tally tabl or tally sht. A bar hart or olumn graph uss bars or olumns to show th numbr o itms or objts so that thy an b ompar..g. Numbr Shap An arrangmnt is th way irnt objts ar organis in irnt orrs..g. Th numbrs, an an b arrang th ollowing ways:,,,, an. Unit 9 Arrangmnts () pag 9, an S Unit Nos, an Chan an b srib with a ration, imal or prntag, whr = rtain, _ = qual han an 0 = impossibl. Unit Bar graphs (ivi) pag 99 A ivi bar graph uss a bar whih is ivi into stions to rprsnt inormation..g. r blu grn By masuring th lngth o ah part o th bar, th ration or valu o ah stion o th whol an b trmin. Unit 0 Priting pag 9 A prition is a statmnt ma about what oul happn/b isovr bas on xisting ata or inormation..g. To prit how many hilrn will... Look at th total numbr o sts o rsults an thn how many n to b prit or. You hav 0 sts o inormation, but want to prit about 0, so ah pi o inormation will b oubl..g. O 0 hilrn: Ey olour Blu Grn Brown Gry Numbr Unit Pi harts pag 00 A pi graph uss a irl ivi into stions whr ah stion rprsnts part o th total..g. yllow purpl grn To prit how many hilrn out o 0 will hav brown ys: =, so prit hilrn. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

23 START UPS: Units Unit Man, mian an graphs pag 00 Th man is anothr nam or th avrag. S Unit 0 Nos an. Th mian is th mil trm o all o th ata whn th ata is writtn in asning orr..g.,,,, 0. Th mian is. I thr is an vn numbr o trms, thn th mian lis btwn th two ntr trms..g.,,,, 0,. Halway btwn an is. So th mian is. Unit Bar graphs an pi harts pag 0 an S Unit Nos S Unit Nos Unit Lin graphs pag 0 A lin graph joins points whih rprsnt th ata with lins..g. Tmp. C Unit 9 Collt ata pag 0 S Unit Nos S Unit Nos S Unit Nos Unit 0 Aition an subtration prati pag 0 an S Unit No. S Unit 0 Nos S Unit No Unit Multipliation an ivision prati pag 0 an S Unit Nos S Unit Nos S Unit No. Unit Frations prati pag 0 S Unit Nos S Unit Nos S Unit No. an Unit No. S Unit No. 0 Unit Dimals prati pag 0 S Unit Nos S Unit Nos an S Unit Nos S Unit Nos 0 Tim (pm) Unit Tally marks an graphs pag 0 S Unit Nos S Unit Nos S Unit Nos Unit Problm solving invrs oprations pag 0 S Unit Nos Unit Problm solving mony pag 0 S Unit Nos Unit Raing graphs pag 0 S Unit Nos an S Unit Nos S Unit Nos Unit Problm solving pag 0 S Unit Nos S Unit Nos S Unit No. Start Ups Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

24 START UPS: Gomtry Unit Gomtry Unit -imnsional shaps isosls triangl quilatral triangl right-angl triangl saln triangl squar rtangl rhombus paralllogram trapzium kit Not: quarilatrals hav sis. -imnsional objts sphr on ylinr hmisphr ub squar prism rtangular prism pntagon triangular prism hxagon pntagonal prism hptagon hxagonal prism otagon triangular pyrami (or ttrahron) nonagon squar pyrami agon irl oval rtangular pyrami pntagonal pyrami smiirl hxagonal pyrami Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

25 UNIT Numbrs to on million Writ ah o th ollowing in numrals: a iv hunr an twnty-on thousan, svn hunr an two b nin hunr thousan, iv hunr an svnty-six two hunr an ity thousan, ight hunr an twnty six hunr an lvn thousan, our hunr an sixtyiv on hunr an ight thousan, two hunr an thirtynin ninty-iv thousan, ight hunr an ninty-on Writ ah o th numbrs rom qustion as igurs in th pla valu hart: HTh TTh Th H T U a b Writ th valu o ah o th unrlin igits: a b Complt ah o th numbr sris: a 9,,,, 0 9 b 0,,,, 90,,,, 90 0,,,, 0,,,, 0,,,, 0 Writ svn hunr an ninty-ight thousan, our hunr an sixty-two in numrals. Writ svn hunr an ninty-ight thousan, our hunr an sixty-two in igurs in th pla valu hart: HTh TTh Th H T U Writ th valu o th unrlin igit in 0 9 Complt th numbr sris: 0,,,, 0 9 Writ th ollowing numbr in wors: 0 9 UNIT S START UPS pag S START UPS pag Pla valu Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Draw th bas on th abaus to rprsnt ah o th ollowing numbrs: a b HTh TTh Th Hh T U HTh TTh Th Hh T U HTh TTh Th Hh T U 0 9 HTh TTh Th Hh T Writ th numbrs o th pla valu hart in wors: HTh TTh Th H T U a 0 b U HTh TTh Th Hh T U HTh TTh Th Hh T U Us < or > to omplt th numbr statmnts: a b Math th xprssions with th numrial inormation: a slightly ovr nintn thousan 00 b approximatly two hunr thousan 9 roughly ity thousan slightly lss than ninty thousan 9 9 almost twnty-iv thousan 9 mor than our hunr an ity thousan 9 0 Draw th bas to show 90 on th abaus: Writ th numbr o th pla hart in wors: HTh TTh Th H T U 0 0 Us < or > to omplt th numbr statmnt: 0 0 Math th xprssion with th numrial valu: almost thirty-two thousan How many thousans ar thr in ah o th ollowing numbrs? a 9 b a b HTh TTh Th Hh T U 9

26 UNIT S START UPS pag Numbrs gratr than on million Writ th valu o th in ah o th ollowing: a 0 b Arrang ah st o numbrs in asning orr: a 9,, 0 9 b 90, 09, 9, 0 90, 0 9, 0, ,, 0 9, 9, 0 Roun ah numbr to th narst million: a 0 b Writ th pla valu o ah o th unrlin igits, thn its valu in th hart: Numbr Pla valu Total valu a 9 b Writ th valu o th in 0: Arrang th st o numbrs in asning orr: 9 0, 0 9, 0 UNIT Numbr pattrns () S START UPS pag Complt ah o th numbr pattrns: a,,,, b 0, 0, 0,, 09,,,,,, 0,,,,,, 9, 90, 9,, Writ th rul or ah numbr pattrn in qustion : a b Complt ah o th ollowing tabls: a st No. n No. b st No. n No. st No n No. st No. n No. st No. n No. st No. n No Writ th rul whih rlats th son numbr to th irst numbr or ah o th numbr pattrns in qustion. a b Complt th numbr pattrn:,, 0,, Writ th rul or th numbr pattrn in qustion : Roun 9 to th narst million. Writ th pla valu o th unrlin igit, thn its total valu in th hart: Numbr Pla valu Total valu 9 Is ah o th ollowing numbrs losr to or ? a 0 9 b Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Complt th tabl: st No n No. 0 Writ th rul or th numbr pattrn in qustion. 9 Look at th squar numbrs: a Writ th rul to giv th numbr o ots in ah iagram. b What woul b th 0th trm in th pattrn? Answrs on pag

27 UNIT Expaning numbrs Writ th numral or ah o th ollowing: a b Writ ah o th ollowing in xpan notation: a 09 b How many tns ar thr in ah o th ollowing? a b How many thousans ar thr in ah o th ollowing? a 9 b 9 9 Writ as a numral. Writ 9 in xpan notation. UNIT S START UPS pag S START UPS pag Positiv an ngativ numbrs Orr ah st o numbrs rom smallst to largst: a, 0,,, 0,, 9, b,,,, 0,,,,,, 0,,, -, 0,, 0, 0,,, 0,, 0,,,,,,,,, 0,,, Cirl th largr numbr in ah pair: a 0, b, 0,,, 0, Complt th numbr squns: a,,,,, b 0,,,,, 0,,,,,,,,,,,, 0,,,, 0,,,, Complt th ollowing quations: a = b 0 = + = + = = = Orr th ollowing rom smallst to largst:, 0,,, 0,, 0, How many tns ar thr in 9? How many thousans ar thr in? 9 Us < or > to mak th statmnts tru. a b Cirl th largr numbr:, Complt th numbr squn:,,,,, Complt: = 9 Draw a numbr lin an a th ollowing: -, 0,, 0.,, Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

28 UNIT Aition rviw Complt: a = b = = = = = Complt: a 9 + = b + = + = + = + 9 = 9 + = Giv an stimat or ah o th ollowing by irst rouning ah numbr to th narst hunr: a + 9 b Complt: a Complt: = Complt: + 9 = b UNIT Exl Start Up Maths Yar S START UPS pag S START UPS pag Giv an stimat by irst rouning ah numbr to th narst hunr: + 0 Complt: + 9 Two ountry towns wr mrg togthr to orm on. I th two towns ha populations o an 9, what was th total population o th nw town? Aing to Complt: a b Complt: a $ + $ b $ 9 + $ 0 $ $ $ + $ $ 0 + $ $ $ 9 Giv th missing numbrs to omplt th aitions: a b Solv: a Ovr yars, Albrt sav $, $ an $. How muh i Albrt sav altogthr? b On a attl station, on paok ha 9 attl an th othr 9. How many attl altogthr? For a ollt-a-ap omptition, Yar K ollt 9 aps, Yar aps an Yar 9 aps. What was th total numbr o aps? During th shool holiays, th Smiths travll 9 km in th irst wk an km in th son. How ar i th Smiths travl altogthr? A hous s irst story is m high, th son 9 m. What is th total hight o th hous? Thr wr shts o papr in on pil, in a son an 9 in a thir. What was th total numbr o pis o papr? Complt: 9 + Complt: $ + $ Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar + Giv th missing numbrs to omplt: 9 9 On a arm, thr wr rats o avoaos, 9 in on rat, 9 in a son an 9 in a thir. What was th total numbr o avoaos? 9 Complt: Answrs on pag

29 UNIT 9 S START UPS pag UNIT 0 Aing larg numbrs Complt: a b Fin: a 0 99 b Fin th total o: a $.0 an $.9 b $ an $ 9. $ an $.0 $ an $900.0 $ 0.0 an $.9 $9.0 an $ 9. Complt: a grams b ntimtrs tonns litrs kilomtrs htars Complt: Fin: Fin th total o: $ 0.90 an $. Complt: 09 + Subtration rviw Complt: a b Fin: a 09 b Fill in th missing boxs: a b Fin th irn btwn: a 0 an 0 b 9 an 0 an 9 0 an 00 an an 9 Complt: 9 Fin: 0 Fill in th missing boxs: 0 9 Fin th irn btwn an 09. S START UPS pag 9 9 Jorg bought a nw ar or $9 990 but a air onitioning or $, a CD playr or $ an a sun roo or $. What was th total ost o th ar? 9 I an itm was bought or $ an sol or $9, what was th proit ma on th itm? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

30 UNIT Mntal stratgis or subtration Fin: a 0 0 = b 0 0 = 0 0 = 0 0 = 0 0 = 90 0 = Fin th irn btwn: a an b an an an 9 an an Complt: a Complt: a 9 = b = 9 9 = = = 9 9 = Fin: 0 0 = b UNIT S START UPS pag S START UPS pag Fin th irn btwn an 9: Complt: 000 Complt: 9 = 9 Joran has a olltion o ootball ars, but h sol 9 o thm. How many ars i h hav lt? Rouning numbrs Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Roun ah o th ollowing to th narst tn: a b 9 Roun ah o th ollowing to th narst hunr: a 0 b Roun ah o th ollowing to th narst thousan: a 9 b Estimat an answr to ah o th ollowing by irst rouning ah numbr to th narst thousan: Qustion Roun Estimat a + 9 b Roun to th narst tn. Roun to th narst hunr. Roun to th narst thousan. Estimat th answr, by irst rouning ah numbr to th narst thousan. Qustion Roun Estimat + 9 k is us to rprsnt 000 in larg numbrs. For xampl, 000 = k. Writ ah o th ollowing using k as an abbrviation: a 9000 b Answrs on pag

31 UNIT UNIT Subtration to Complt: a 9 0 b 90 S START UPS pag S START UPS pag 9 0 Subtrating larg numbrs Complt: a b Estimat th answr to ah qustion by rouning ah numbr to th narst thousan. a 9 b Complt: a kilograms b mtrs litrs tonns htars ntimtrs Fin th irn btwn: a 9 an b 0 0 an an 0 an an an 0 Complt: Estimat th answr by rouning ah numbr to th narst thousan. 9 Complt: a $ 90 b $ 900 $ 0 0 $ 0 $ 0 $ $ 9 0 $ 0 $ 09 $ $ 0 $ Th ara o ah stat an trritory (km ) is givn blow. Tas. Vi. ACT NSW Ql SA WA NT Fin th irn in ara btwn: a Tas. an Vi. b NSW an SA WA an SA NT an ACT Ql an WA NSW an NT Fin: a 9 kg minus kg b 0 9 L subtrat 09 L 9 tonns lss 9 tonns th irn btwn $9 an $ m lss 9 m 9 g tak away 0 g Complt: Complt: $ 9 $ 9 0 Complt: mm 0 mm Fin th irn btwn 0 an 009. Fin th irn in ara btwn Vi. an NSW. Fin 0 L lss 9 9 L 9 Writ a wor problm that is a subtration qustion an givs th answr. 9 What is th gratst irn in ara btwn two stats or trritoris? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

32 UNIT Estimation Estimat ah o th aitions by irst rouning ah numbr to th narst hunr. a b UNIT S START UPS pag S START UPS pag Multipliation tabls () Fin: a groups o b groups o 9 groups o 0 groups o 9 groups o groups o Estimat ah o th subtrations by irst rouning ah numbr to th narst thousan. a 0 b Estimat th answr by irst rouning ah amount to th narst ollar ($). a $.9 + $. b $. + $. $.0 + $9. $9. $. $. $.9 $9.9 $. Estimat ah o th aitions by irst rouning ah numbr to th narst hunr. a + 9 b Estimat th aition by irst rouning ah numbr to th narst hunr Estimat th subtration by irst rouning ah numbr to th narst thousan. 9 Estimat th answr by irst rouning ah amount to th narst ollar ($): $. $.9 Estimat th aition quation by irst rouning ah numbr to th narst hunr: Fin: a = b = = 0 = = = Complt th boxs: a = b 0 = 90 = = = 0 = Fin th total ost o: a 0 hats at $9 ah b rinks at $ ah magazins at $ ah bags o potatos at $ ah snaks at $ ah movi tikts at $ ah Fin 9 groups o : Fin x : Complt th box: = Fin th total ost o birthay aks at $ ah. 9 Estimat th subtration by irst rouning ah numbr to th narst thousan: Complt: 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

33 UNIT S START UPS pag UNIT Multipliation tabls () Fin th prout o: a 0 an 0 b an 9 an an 0 an an Tru or als? a = 9 b = 0 = 0 = 0 = 0 = 0 Complt: a b Multipliation rviw Fin: a th prout o 9 an b groups o tims multipli by lots o an multipli Fin: a b 0 9 Complt th boxs: a = = b 9 = = = = = = 9 = = = = 0 S START UPS pag Fin th total numbr o ays in: a wks b wk 0 wks wks wks wks Fin th prout o an : Tru or als? 9 = Complt: Fin th prout an answr in wors: a nin an thr b ight an six on an svn twlv an lvn twlv an nin zro an svn Fin tims 0. Fin: 9 Fin th total numbr o ays in 9 wks. 9 Complt th multipliation irl: Complt th boxs: = = Fin th prout o svn an ight. 9 Fin th total numbr o animals i thr wr: paoks with ows in ah paoks with horss in ah stis with pigs in ah pns with 0 hikns in ah Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

34 UNIT 9 UNIT 0 S START UPS pag S START UPS pag Multipliation o tns, hunrs an thousans () Multipliation o tns, hunrs an thousans () Fin: a tns = tns b 9 tns = tns hunrs = hunrs hunrs = hunrs thousans = thousans thousans = thousans Complt: a 0 b Complt: a 00 b Complt: a 000 b Fin: thousans = thousans Complt: 0 9 Complt: 00 9 Complt: Complt: a 0 = b 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = Complt: a 0 0 = b 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 90 = 0 0 = 0 90 = 0 0 = 0 90 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = 0 0 = Complt: a 0 0 = b 0 0 = 90 0 = 0 0 = 90 0 = 0 0 = Fin th total numbr o: a lots o 00 books b pay or ays at $0 a ay 0 groups o 0 stunts 0 storis o 90 wors 0 pakts o 0 bisuits 0 rats o 0 L o milk Complt: 0 = 0 = 0 = Complt: 0 0 = 0 0 = 0 0 = Complt: 0 0 = Fin th total numbr o 0 ggs in baskts o 0 Eastr ggs. 9 Eah night Jnny us 00 L o watr or a showr. How muh watr i sh us in wk ( ays)? 9 Th shool shop orr 0 boxs o snaks an thr wr 9 snaks in ah box. I snaks wr sol rom ah box, how many wr lt in total? Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

35 UNIT S START UPS pag UNIT Multipliation o tns, hunrs an thousans () Complt: a 00 0 = b 00 x 0 = 0 00 = 90 x 00 = = 0 x 00 = Complt th hart: a 0 b Complt: a b Multipliation Complt: a b 9 Complt: a 9 b Fin th prout o: a an b an 0 an 9 an an 0 an S START UPS pag Fin: a 0 b 90 Fin th prout o: a 0 an 0 b 00 an 00 an 00 an 000 an an 00 Complt: 0 00 = Complt th hart: Complt: Complt: Complt: 0 0 Fin th prout o 0 an Fin: 00 Fin th prout o 9 an On avrag thr ar 9 stunts at ah o 0 shools. Approximatly how many stunts ar thr altogthr? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9 a Fin how many sons in hour. b How many sons in hours? How many sons in 0 hours? 9

36 UNIT Multipliation by -igit numbrs Estimat th answrs to ah o th ollowing by rouning th irst numbr to th narst tn: a b 0 Fin: a = (0 ) + ( ) = b = (0 ) + ( ) = 9 = (0 ) + (9 ) = = ( ) + ( ) = = ( ) + ( ) = = ( ) + ( ) = Complt: a = b = 0 + = UNIT START UPS pag S START UPS pag 0 + = 9 = = = 0 + = = = 0 + = 0 + = Calulat ah o th ollowing: a b Extn multipliation () Complt: a 0 = b 9 00 = 00 = 0 = 0 \ 00 = 0 v 0 = Complt: a 0 = b 9 0 = 0 0 = 90 0 = 00 0 = = 0 = 0 0 = 0 0 = 00 0 = 00 0 = = 0 0 = 0 0 = 00 0 = 00 0 = = = Complt: a b Complt: a ( ) + ( 0 ) 9 ( 9 ) + ( 09 ) 9 ( 9 ) + ( 09 ) b ( ) + ( 0 ) ( ) + ( 0 ) ( ) + ( 0 ) By rouning to th narst tn, stimat th answr to: Fin: = ( ) + ( ) = Calulat: x = 0 + = Complt: Complt: 0 0 = Complt: 0 0 = 00 0 = Complt: Complt: ( ) + ( 0 ) 9 Fin th answr to on thousan, on hunr an twnty-six multipli by thirty-svn. 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9 Thr wr ggs in ah o larg gg artons. How many ggs wr thr altogthr? Answrs on pags

37 UNIT S START UPS pag UNIT Extn multipliation () Complt: a 9 ( ) + ( ) 9 ( ) + ( ) ( ) + ( ) b ( ) + ( ) ( ) + ( ) ( ) + ( ) Complt ah o th ollowing: a 9 b Fin th prout o: a an b 9 an an 99 an an an 9 Calulat how muh ah prson sav i thy sav: a $ a wk or wks b $ a wk or 9 wks $ a wk or wks $0 a wk or wks $ a wk or wks $ a wk or wks Complt: ( ) + ( ) Complt: Fin th prout o an. Calulat how muh Sonia sav, i sh sav $9 a wk or wks. 9 Eah month Josh spnt $ in ry oo an $ in trats or his pt ats. How muh i h spn on at oo ah yar? Extn multipliation () Complt: a b 9 Fin: a b Insrt th missing numbrs in th orrt alulation: 9,,,,, a 9 b Calulat th total numbr o ruit: a boxs, 9 bananas in ah box b boxs, avoaos in ah box boxs, orangs in ah box boxs, appls in ah box boxs, manarins in ah box boxs, 9 pinappls in ah box Complt: Fin: = S START UPS pag Insrt th orrt missing numbr in th alulation:,,,,, + 0 Calulat th total numbr o ruit in boxs i thr ar plums in ah box. 9 It is approximatly km to riv rom Milura to Mlbourn. Thr ar truks laving Milura to riv to Mlbourn. What is th total istan thy ovr? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

38 UNIT Extn multipliation () Complt: a b 9 9 Th shool is buying nw ltroni quipmnt. Th total o ah st o purhass is: a $9 tlphons b $ ax mahins $ printrs $ sannrs $90 igital amras $0 omputrs Fin: a x 0 b x 00 9 x 00 x 00 x 00 9 x 90 Complt th invntory or th partmnt: Itm No. o itms UNIT S START UPS pag S START UPS pag Cost o ah itm a hats 9 $ b glasss $9 T-shirts 0 $ singlts $ thongs $ shorts 9 $ Complt: Total ost Multipls, ators an ivisibility Cirl th numbrs that ar: a ivisibl by b ivisibl by ivisibl by 9 9 ivisibl by ivisibl by ivisibl by Tru or als? a 9 is a ator o 90 b is a ator o is a ator o 0 is a ator o is a ator o is a ator o List all th ators o: a b 0 0 Writ own th irst multipls o: a b 0 Cirl th numbrs that ar ivisibl by 0: A shool is buying nw $ palm pilots. What is th total ost o th purhas? Fin: x 090, 0, 0, 0, 00, 9090, Tru or als? is a ator o. Complt: Itm No. o itms Cost o ah itm Shirts $ Total ost List all th ators o 00. Writ own th irst multipls o 9. 9 In th inst nlosur at th animal park, th buttrlis lai approximatly 0 ggs o whih 9 hath. I this happns vry son wk or a yar ( wks), how many buttrly ggs ar hath in total or a yar? 9 List all th ators o 000. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

39 UNIT 9 S START UPS pag UNIT 0 Multipliation stratgis Answr th ollowing: a 0 9 = b 0 = 0 = 00 = 00 = 00 9 = Estimating prouts S START UPS pag Roun ah irst numbr to th narst tn to mak an stimat: a b Multiply by tn an thn halv to in th answr to: a = b = = = = = Us oubls to in: a = b = = = = = Mntally omplt ah o th ollowing: a = b = = = = = Answr: 00 = Multiply by 0 an thn halv to in th answr to: = Us oubls to in: 9 = Mntally omplt: = Fin an stimat by irst rouning ah numbr to th narst tn: a b 9 9 Roun ah irst numbr to th narst tn an ah son numbr to th narst hunr to in an stimat to: a b Estimat th answr an thn hk with a alulator: a E A b 0 E A 9 E A 0 9 E A 9 E A E A Roun th irst numbr to th narst tn to mak an stimat: 9 Fin an stimat by irst rouning ah numbr to th narst tn: Roun th irst numbr to th narst tn an th son numbr to th narst hunr to in an stimat to: 9 9 Us oubls to in: a = b = = Answrs on pag 9 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Estimat th answr to x 9 an thn hk with a alulator. 9 Eah wk or wks, Sally livrs 9 nwspaprs. Estimat th total numbr o nwspaprs Sally livr.

40 UNIT S START UPS pag UNIT S START UPS pag Division prati Complt th ivision quations using th multipliation quations: a 9 = b = 0 = 0 = 9 = 0 = = = 9 = 9 = = 9 = = = = = = = Complt: a 9 = b = 0 0 = 0 = 9 = 90 9 = Complt: a = b = = 0 = Division rviw Fin a air shar i ths balls wr shar among: a boys b girls stunts tahrs parnts granparnts Fin on shar an th rmainr, i th balls rom qustion wr shar among: a boys b girls 9 parnts 0 shools 0 tams ogs Complt: a 0 = b 0 = 0 = 0 = 00 = 0 9 = Complt th tabl: Qustion Quotint Rmainr 0 a 0 b = = Complt: a b ) ) ) 9 ) 9 ) 9 ) 0 Complt th ivision quations using th multipliation quation: = = = Complt: = Complt: = 0 Complt: ) 9 Josi has pnils to put in boxs vnly. How many pnils ar thr in ah box? Fin a air shar i th balls ar shar among popl. For th balls in qustion, in on shar an th rmainr i th balls ar shar among polimn. Complt: 90 = Complt: Qustion Quotint Rmainr 9 Complt th tabl: Qustion Quotint Rmainr 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 9

41 UNIT S START UPS pag UNIT Division with rmainrs Complt: a = b 0 = 0 9 = 0 = 0 = = Complt: a b ) ) 9 ) 0 ) 9 ) 9 ) 0 Complt: a b 0 ) 0 ) ) ) ) ) Fin: a Isabl ha $; this is 0 tims as muh as Kati. How muh os Kati hav? b 9 ggs hav to b pla into artons o. How many artons ar n? Eah ar ns tyrs. I thr is a pil o 9 tyrs, how many ars an b omplt? Liam us ml o milk to ill glasss. How muh milk was pour into ah? I ha a 9 m lngth o string, whih ha to b ut into qual pis. What was th lngth o ah pi? 0 thumbtaks ha to b put into boxs qually. How many thumbtaks wr thr in ah box? How muh woul ah prson riv i hilrn shar? a pis o ruit b pis o ruit 0 pis o ruit pis o ruit pis o ruit pis o ruit Writ ah answr as a mix numbr: a b ) ) ) 9 ) 0 ) 9 ) 0 Writ ah answr as a mix numbr: a b ) 90 ) 0 ) 9 ) 9 9 ) ) Complt ah o th quations writing th rmainrs as a ration: a b ) ) 90 ) ) 90 9 ) ) How muh woul ah prson riv i hilrn shar pis o ruit? Writ th answr as a mix numbr: S START UPS pag Division with rmainrs rations Complt: = Complt: Complt: ) 0 ) 0 lttrs wr ivi qually into mail bags. How many lttrs wr thr in ah bag? 9 Sara ha pis o ribbon o lngth m, m an m. What was th avrag lngth o th ribbon? ) Writ th answr as a mix numbr: ) Complt th quation writing th rmainr as a ration: ) 0 9 Complt ah o th ollowing writing th answr as a ration: a b 0 ) ) ) Answrs on pag 9 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

42 UNIT Division with zros in th answr Complt: a b 0 ) 90 0 ) 0 0 ) 00 0 ) 0 ) 9 0 ) 0 Complt: a b ) ) 0 ) ) 9 ) 9 ) 0 Complt: a b ) 0 ) 09 ) 0 9 ) 9 0 ) 0 ) 0 Fin: a 9 plants wr plant in rows. How many plants wr thr in ah row? b A ban with playrs arn $9. How muh i ah playr riv? Th sam numbr o nwspaprs was pla in pils. How many nwspaprs wr thr in ah pil, i thr wr nwspaprs to bgin with? stunts at univrsity ro biks. How many biks wr thr in ah o raks, i thy wr all ull? Thr wr hoolats to pla in box trays. How many box trays wr n i thr wr 9 hoolats in ah tray? How many wks is 0 ays? Complt: UNIT S START UPS pag S START UPS pag Division with zros in th ivisor Complt: a b 0 ) 0 0 ) 0 ) 00 0 ) 9 0 ) 0 ) 900 Writ th numbr o tns in: a 0 b Complt: a b 0 ) 0 0 ) 00 0 ) 0 0 ) 90 0 ) 9 0 ) Chang ah o th ollowing to ntimtrs: a 900 mm b 00 mm 90 mm 0 mm 0 mm 0 mm 0 ) 9 Complt: 9 ) 90 Complt: ) Complt: 0 ) Writ th numbr o tns in 0 Complt: 0 ) 0 How many m lngths ar thr in 00 m? 9 Fin th missing numbr: 0 0 r ) Chang 9 00 mm to ntimtrs: 9 Tn plasti stars it in on box. How many boxs ar ill with plasti stars? Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 9

43 UNIT Division by numbrs with zros Complt: a b 0 ) 0 0 ) 90 0 ) 00 0 ) ) ) 00 UNIT S START UPS pag S START UPS pag Division o numbrs largr than 999 Complt: a b ) ) ) ) 9 ) 9 ) Complt: a b 00 ) ) ) ) ) ) Complt by irst iviing both numbrs by 0: a b 0 ) 00 0 ) 00 0 ) 00 0 ) ) ) 00 Complt: a b 90 ) 0 0 ) 0 ) 0 ) 0 ) 0 ) Complt: 0 ) 0 Complt: a b ) 9 ) ) 9 0 ) 9 ) ) Solv: a How many stunts wr at amp, i o 000 stunts wr thr? b L ivi into ontainrs m o lan ivi into qual paoks 9 km ivi into qual stions tonns loa qually onto irnt boats I 9 points wr sor in gams, what was th avrag numbr o points pr gam? Fin th missing numbrs: a b 0 ) ) ) ) ) ) Complt: 00 ) 000 Complt by irst iviing both numbrs by 0: Complt: Complt: 9 ) 99 ) Complt: 0 ) 00 0 ) 0 $9 was shar among workrs. How muh i ah on riv? Fin th missing numbr: ) 9 Roun ah answr to th narst whol numbr: a b 0 ) 0 ) 9 Fin th missing numbr: r ) Answrs on pags 9 0 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

44 UNIT 9 Extn ivision Complt: a ) b ) ) ) Us th abov mtho to omplt: UNIT 0 S START UPS pag S START UPS pag ) ) 0 a ) b ) ) 9 Avrags () Fin th avrag o ah pair o numbrs: a an b an 0 an 00 0 an 0 an 00 an Fin th avrag o ah group o numbrs: a,, 9, b,,,,, 9,,,, 9,, 0, 0, 0, $., $.90, $. $0, $., $., $.0 ) ) 9 0 ) Fin: a 99 = b 00 = 9 = = = = Fin th missing numbrs: a 0 r b r r ) ) ) r 9 r r ) ) ) Complt: ) 9 Fin th avrag sp or ah o th ollowing: a I travll 00 km in 0 hours. km/h b It took hours to travl. kilomtrs. Th snail mov 9. m in minuts. W lw km in hours. km/h Th grasshoppr travll m in minuts. Th boat travll 00 km in ays. Hr ar th tmpraturs at :00 pm or a wk. km/h m/min km/ay m/min Day Mon. Tus. W. Thurs. Fri. Sat. Sun. Tmp C 9 What is th avrag tmpratur at :00 pm or: a Monay an Tusay? b Thursay an Friay? Tusay, Wnsay an Thursay? th wkn? Monay to Friay? th ntir wk? Fin th avrag o an : Us th abov mtho to omplt: Fin = ) Fin th avrag o 9,,,, : Fin th avrag sp o a rok limbr, limbing 0 mtrs in 0 minuts m/min Fin th missing numbrs: r ) What is th avrag tmpratur o Friay, Saturay an Sunay or qustion? 9 How many artons woul ggs ill i ah arton hols on ozn ggs? Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9 Fin numbrs that giv an avrag o. Answrs on pag 0

45 UNIT Avrags () Writ th answr as a imal: a b ) 0 ) 0 ) ) ) ) 9 Fin th avrag o: a, 9,, 9,, b 0,, 9, 9,, 9,, 0, 9,, 0, 0, 9,,, 9,,, 9,,,,, 0 Fin th avrag sor or ah o th hoky tams or th gam pr-sason: Tam Sor Avrag a Numbrs 0,,,,, b Totals,,,,, Divirs 0,,,, 0, 0 Multiplirs,,,,, Ars,,, 9,, Subtratrs,,,,, What is th avrag: a tmpratur o C, C, 0 C an C? b numbr o marbls in jars o, an 0? numbr o runs o,,, 9 an runs? numbr o ruit in baskts o,, 9, an? numbr o pnils in pakts o, 0, 9,, an? numbr o maths in boxs o,,, 0 an 9? UNIT S START UPS pag S START UPS pag Invrs oprations an hking answrs Us aition to hk th subtration quations. Tik th boxs or thos that ar orrt an writ th answrs or thos that ar inorrt: a 9 = b = 0 = 9 = 9 9 = 9 = Us multipliation to hk th ivision quations. Tik th boxs or thos that ar orrt an writ th answrs or thos that ar inorrt: a 00 0 = b 0 0 = 0 0 = = = 0 0 = Us invrs oprations to hk th ollowing statmnts. Answr tru or als: a + is lss than 0 b 0 0 is gratr than is lss than 0 is mor than is lss than is gratr than 0 Math th invrs quations: a * = 0 A 0 = * b 0 * = 0 B = * * = 9 C * = 9 o * = 0 D 0 = * 9 + * = E 9 + = * + * = F 0 0 = * Us aition to hk th subtration quation: = Writ th answr as a imal. ) Fin th avrag o, 9,, an. Fin th avrag sor or th hoky tam or th six gam pr-sason tournamnt: Tam Sor Avrag Powrs,,,,, What is th avrag ost o $9, $, $, $9 an $? 9 Th batting avrag o a riktr or maths is 0. Fin th missing sor rom gam : Gam Sor 00 0 Answrs on pag 0 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Us multipliation to hk th ivision quation: = Us invrs oprations to hk th quation: + 9 = 9 (answr tru or als) Math th invrs quation: = * = * + = * = * = * 9 Joi start with a numbr o pt birs; sh sol o thm, bought othrs an thn gav away. Sh now has birs. How many birs i Joi hav to start with? 9

46 UNIT Numbr lins an oprations Complt th numbr lins to show ah o th ollowing: a start at 0 an ount by s b start at 0 an ount by s start at an ount by s start at 9 an ount bakwars by s start at an ount bakwars by 9s start at 000 an ount bakwars by 0s Us th numbr lins to in: a + 0 = b + 0 = + = = 9 + = 9 + = Us th numbr lins to in: a 9 = b 9 = 9 = 9 = 09 = = Us th numbr lins to in: a = b = = 9 = 9 = = Draw a numbr lin to show, start at an ount by s. Us th numbr lin to in + 09 = Us th numbr lin to in 0 = Us th numbr lin to in x = 9 a Draw a numbr lin rom to, showing ah quartr. b Show th ollowing quations on th numbr lin: i = ii = iii = iv + = UNIT S START UPS pag S START UPS pag 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Orr o oprations () Complt th brakts irst: a (0 ) 0 = b ( + ) = ( + ) 9 = (00 ) = (0 + 0) + = ( + ) = Work lt to right: a 9 = b = 0 0 = 00 = = = Complt th multipliation an ivision irst: a 0 + = b 0 + = 00 = = + 0 = = Complt th brakts irst, thn multipliation an ivision, an inally aition an subtration: a ( + ) 9 = b (0 ) = + 0 = + 0 ( + ) = (00 0) ( ) = + ( + 9) = Complt th brakts irst: 0 ( ) + = Work lt to right: 90 = Complt th multipliation an ivision irst: = Complt th brakts irst, thn th multipliation an ivision, an inally aition an subtration: ( + ) + = 9 A brakts to mak th quation tru: + + = + Answrs on pag 0

47 UNIT Orr o oprations () Complt: a + = b = ( ) + ( 9) = (0 ) = 0 = + = Complt: a 9 + = b ( 9) ( + ) = (9 ) + = ( ) ( 0) + = ( ) (0 + ) = = Complt: a ( ) + 9 = b ( 0 0) + = 00 + ( ) = + = 00 0 = 00 ( ) = Complt: a + = b 9 0 = 0 0 = 0 = ( ) = ( + ) 0 = UNIT S START UPS pag S START UPS pag Orr o oprations () Complt: a 0 = b + = 0 = + = 0 = 9 + = Complt: a (9 ) = b 9 ( ) = 9 = 0 ( + ) = (0 ) + = 0 + = Complt: a + = b ( + ) = ( + ) = ( + ) = ( ) + = ( ) + ( ) = Complt: a 0 = b 0 ( ) = = ( ) = = ( ) = Complt: 00 + = Complt: (0 ) = Complt: 0 ( ) 0 + = Complt: (00 --: ) x 0 = 00 --: ( x 0) = Complt: ( ) ( ) + 0 = Complt: = 9 Complt th ollowing trail with irnt numbrs: multiply by a subtrat 0 a What i you isovr? b Do you know why? a subtrat Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar a ivi by Complt: (9 x ) --: + = 9 x ( --: ) + = Complt: 0 = 0 ( ) = 9 With th our numbrs 0, 9, an, writ two irnt quations.

48 UNIT Orr o oprations with imals an rations Complt th brakts irst: a ( + ) = b ( + ) = ( ) = (. +.) = ( ) = 0. ( + ) = Work lt to right: a = b =. =. =. =. = UNIT S START UPS pag S START UPS pag Numbr pattrns () Complt th ollowing tabls: a st No. 0 b n No. st No. 0 9 n No. 9 st No. n No. st No. 9 0 n No. 0 st No. 0 n No. 9 st No n No. 9 Writ th rul or ah o th tabls in qustion : a b Do multipliation an ivision bor aition an subtration: a. +. = b =. +. = =. +. = = Complt th brakts irst, thn multipliation an ivision, an inally aition an subtration: a ( 9 + ) = b ( ) ( 0) = ( + ) = ( 0 + 0) + = ( + ) = (9 ) = Complt th brakts irst: ( + ) = Work lt to right:. = Do multipliation an ivision bor aition an subtration: = Complt th brakts irst, thn multipliation an ivision, an inally aition an subtration: ( + ) = Writ what th nxt trm woul b or ah o th tabls in qustion : a b Writ what th 0th trm woul b or ah o th tabls in qustion : a b Complt th tabl: st No n No. Writ th rul or th tabl in qustion : Writ what th nxt trm woul b or th tabl in qustion : Writ what th 0th trm woul b or qustion : 9 Construt a tabl or th rlationship btwn th numbr o triangls an th numbr o sis on th triangls. Do to our triangls. For xampl: triangl has sis triangls hav sis 9 Pla in th brakts to mak th numbr sntn tru: =. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

49 UNIT 9 Numbr pattrns () Continu ah o th ollowing numbr pattrns: a,,,,,, b,, 9,,,,,.,.,,,, 0,,, 0,,,,,, 0,,,,,,,,, UNIT 0 S START UPS pag S START UPS pag Mix oprations Complt: a + 0 = b + = = (0 + 0) (99 + ) = = = Writ a rul or ah o th numbr pattrns in qustion : a b Complt ah o th numbr pattrns: a st b No. 9 st No. 0 n n No. 0 No. 9 0 st No. 9 n No st No n No. st No. 9 n No. 0 st No n No. 0 Fin th valu o th missing numbr or ah o th numbr pattrns rsptivly in qustion : a b st No. st No. st No. n No. 0 n No. st No. n No. 00 st No. n No. 0 n No. 0 st No. Continu th numbr pattrn:,,,,,, Writ a rul or th numbr pattrn in qustion. n No. Complt: a (9 ) = b (00 ) = (0 0) ( ) = (0 ) ( ) = 0 = 90 9 ( ) = Complt: a ( ) ( + ) = b (0 9) = (0 + ) 00 = 0 + = (. ) + (. ) = ( + ) = Complt by ining th valu o ah lttr/symbol: a M is 0 mor than th prout o, an b Δ is th sum o, an, ivi by I I a an 9, ivi by an multiply by, my answr is Whn I tak rom th irn o 00 an, my answr is V T is th answr to multipli by, ivi by, thn a. Th irn o, an multipli by, th rsult is qual to * Complt th numbr pattrn: st No. 9 0 n No. 0 Fin th missing numbr o th numbr pattrn in qustion : Complt: + 9 = Complt: ( 0) ( ) = Complt: (9 + ) ( ) = st No. n No Apply th rul to omplt th pattrn: + = 0 Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Complt: 0 multipli by with 0 subtrat givs th answr o D. 9 Fin: 9. ivi by, 0. a an th rsult ivi by givs *. * =

50 UNIT Zro in oprations Complt: a 0 = b = ( ) 0 = ( 9) 0 = ( ) ( ) = (9 9) (00 ) = Complt: a b UNIT S START UPS pag S START UPS pag Complt: a 0 0 b 9 00 )0 00 ) ) 000 Complt th missing boxs: a 0 b ) Complt: (90 9) 0 = Complt: Complt: )9 000 Complt th missing boxs: A ompany maks pakts o salt an vingar hips vry month. How many pakts o salt an vingar hips ar ma in on yar? Equations Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Solv ah o th ollowing quations: a M 9 = b 9 = W 0 0 = V D. = 0 + K = 9 X = 00 Solv ah o th ollowing: a 0 + = B b C = ( 0) + ( ) E = ( ) T = (9 ) + 0 ( ) ( ) = Z ( ) ( ) = Y Solv ah o th ollowing: a N = b 0 = + N. + P = 0 R = 0 0 S =. + F = Writ an quation an solv ah o th ollowing: a rins wnt to th movis. I th total ost o th tikts was $.0, how muh i ah tikt ost? b Arthur ha som appls, bananas an plums. I h ha pis o ruit, how many appls i h hav? Th hoolats wr ivi into rows o or ah tray. I thr ar 0 hoolats, how many trays ar n? Th ost o th ootball was $.0 plus a booking. I th total ost was $., how muh was th booking? Th squar ha si lngths o m. What was th ara o th squar? In th garn, thr ar rows o tomato plants an rows o lttu plants. I thr ar plants altogthr, how many plants ar in ah row o lttu? Solv: Q + 9. =. Solv: N = ( ) ( ) Solv: 0 + E = 0 It rain a total o. m ovr th wkn. I it rain.9 m on Saturay, writ an quation an solv to in Sunay s rainall. 9 I tak a numbr, ivi by th sum o svn an thr, a ity an subtrat svn. I I n up at th numbr qual to nin multipli by iv, what numbr i I bgin with? Answrs on pag

51 UNIT Binary numbrs Complt th tabl: a b 9 () () () () 0 () Writ ah o th ollowing numbrs in binary notation: a b 0 9 Writ ah o th ollowing binary numbrs as igits: a b Writ ah o th ollowing binary numbrs as igits an solv: a + 0 = b 00 = = 0 = = = UNIT S START UPS pag S START UPS pag Oprations with mony Roun ah o th ollowing to th narst nts: a $. b $.99 $. $00.0 $. $00.9 Fin th total ost o: a $9. b $. $. $. 9 + $. 0 + $. $. 0 $. 9 $. 9 $. Fin: a $. 0 b $9. 9 $. $. + $. 99 $. $ 9. $. 9 ) $. ) $. ) $9. Fin th hang rom $.0 i Jan spnt: a $9. b $.9 $.0 $. $.9 $0. Roun $. to th narst nts. Fin th total ost o: $. $ 9. + $. Complt th tabl: () () () () 0 () Fin: $. Writ in binary notation. Writ 000 as a igit. Writ 00 as igits an solv th quation. Fin th hang rom $.0 i Jas spnt $.. 9 Fin th total ost o kg appls, kg bananas an kg orangs i: 9 Lonaro Fibonai isovr th ollowing pattrn. Complt th nxt iv trms:,,,,,,,,,,, Orangs $./kg Bananas $.99/kg Appls $./kg Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

52 UNIT Equations with numbrs an wors Fin th valu o ah lttr: a = 0 b Y + = 0 s s s = T + T = 0 o W = m = Writ an quation an solv: a multiply by 00 an subtrat six tims svn b ivi 9 by an thn a th prout o ight an two a to nin, multiply by thr an thn ivi by ight to.9 a bor subtrating 9. squar an multiply by th prout o an halv an multiply by, an thn a ight Fin th answrs: a ( ) + ( ) = b (0 ) ( ) = (. +.) = 9 0 ( ) = + 9 = (00 0) = Complt th tabl: Δ Δ + a.. Δ b. Fin th valu o th lttr p in: p ( ) = Writ an quation an solv: multiply 9 by an subtrat th prout o an Fin th answr: + ( ) = Complt th tabl: Δ..0 Δ + a Δ b 9 Math th orrt quation to th iagram: A = B 9 = C. = D. +. = UNIT S START UPS pag S START UPS pag Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Substituting valus Writ tru or als or ah o th givn answrs: a ( Δ) + = 0 b + ( Δ) = Δ = Δ = (9 Δ) = ( Δ) = Δ = Δ = ( + Δ) = 0 ( Δ) = Δ = Δ = Fin th missing numbrs in ah qustion: a = b + = 00 = = 0 ( ) + 9 = 9 ( ) + 0 = 0 Fin th missing numbrs in ah o th ollowing: a 0 b ) Fin th numbr i I: a oubl it, thn a. Th answr is 0. b multiply by, thn subtrat. Th answr is. a 00, thn ivi by. Th answr is 0. subtrat, thn multiply by. Th answr is. halv it, thn subtrat. Th answr is 0. ivi it by, a. Th answr is 9. Writ tru or als or: ( + Δ) = Δ = Fin th missing numbr in: ( + ) = Fin th missing numbr: 9 Fin th numbr i I multiply it by itsl, thn a 9. Th answr is Fin all th irnt pairs o whol numbrs whih will mak th numbr sntn tru: = Δ Answrs on pag

53 UNIT Numbr sntns () Writ tru or als or ah o th ollowing: a I Δ = 9, thn Δ = b I Δ + =, thn Δ = I 00 Δ + = 0, thn Δ = I Δ + =, thn Δ = I + (Δ ) =, thn Δ = I 0 ( Δ) =, thn Δ = Fin th valu o ah o th missing numbrs: a = b 9 = 0 = = + = 9 = 0 Fin th valu o ah o th missing numbrs: a 9 = 0 + b = 9 = + = 0 9 = 00 0 = + Chk i ah o th ollowing is orrt: a Jams bought kg o mnt at $9 pr bag. H spnt $ in total. b Yuko ha 9 stamps in hr olltion, but atr sh gav away sh only ha lt. Ajit ivi 9 bottls into rats. Thr wr bottls in ah rat. Anthony shar playing ars btwn popl. Eah prson ha ars. trats wr shar among ogs. Eah og riv trats. Thr wr lttrs or livry. By lunh tim ha bn livr. lttrs still n to b livr. Writ tru or als: ( Δ) = 90, thn Δ = 9 UNIT S START UPS pag S START UPS pag Numbr sntns () Writ tru or als or ah o th ollowing statmnts: a + Δ = 00 Δ = b 0 Δ = Δ = Δ =. Δ =. Δ = Δ = 0 Δ =. Δ = Δ = 0 Δ = 99 Fin th valu o * in ah o th ollowing: a * =. b * = + * =. * = 9 * = * =. Writ an xprssion i * is th missing numbr: a lss than th numbr b on thir o th numbr th squar o th numbr 9 tims th numbr mor than th numbr th sum o an th numbr Construt a numbr sntn or ah o th problms an solv: a th prout o an a numbr is b th squar o a numbr is 00 th sum o a numbr an is th irn btwn a numbr an is th quotint o a numbr an is a numbr is ras by to giv Writ tru or als or: 9 Δ = 9, Δ = Fin th valu o th missing numbr: = Fin th valu o th missing numbr: = 00 Chk i th statmnt is orrt: Th pt shop ownr sol 9 o golish. This lt golish. 9 What is my numbr? I you ivi m by an multiply by 0, th answr is 0. Fin th valu o * in: * = Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Writ an xprssion i * is th missing numbr: 0 lss than th numbr. Construt a numbr sntn or th statmnt an solv: a numbr is inras by to giv 9. 9 Crat your own numbr sntns by plaing a numbr in ah box: a = b + =

54 UNIT 9 Numbr sntns () Fin th missing numbr or ah o th ollowing: a = b + = 9 90 = 00 = = 9 = 0 Writ tru or als or ah o th ollowing: a ( Δ) + 0 =, Δ = b (0 Δ) =, Δ = (Δ ) = 9, Δ = 9 (0 Δ) =, Δ = ( Δ) + = 0, Δ = 0 (90 + Δ) = 0, Δ = 0 Construt a numbr sntn an solv it or ah o th ollowing: a a numbr is inras by 0, thn multipli by to qual 00 b a numbr is ras by, thn ivi by 0 to qual 0 a numbr is ivi by, thn is a to giv a numbr is multipli by, thn 0 is a to giv 9 a numbr is squar, thn 9 is a to giv 90 0 lss than a numbr, ivi by givs Fin th missing numbrs: a + = b 9 = = = + = 9 + = 0 Fin th missing numbr or: 0 = Writ tru or als or: ( ) =, = Construt a numbr sntn an solv it or: is a to a numbr, thn it is ivi by to giv 0 Fin th missing numbr in: 9 = 9 Fin th missing numbrs: a. + =. b.9 =.. =.. =.9 UNIT 0 S START UPS pag S START UPS pag Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Squar an ub numbrs Complt: a 9 9 = b 0 0 = = = = = Complt: a = b = = = = 0 = Complt th tabl: Numbr a b Squar Cub Complt: a + = b = 9 = + = = + + = Complt: = Complt: 0 = Complt th tabl: Numbr Squar Cub Fin: ( + ) = 9 Complt th ollowing to isovr th pattrn: a = b = = = = = pattrn: Answrs on pag

55 UNIT Working with numbrs Us < or > or = to mak th numbr statmnts tru: a b Writ th whol numbr: a immiatly atr 0 99 b 000 gratr than 9 0 mor than 9 immiatly bor lss than mor than 9 A small our-whl riv has a srvi vry km. Ror th oomtr raings or whn th nxt two srvis ar rquir or ah o th irnt olour our-whl rivs: a yllow: an b r: 9 an grn: 9 an blu: an blak: 0 9 an whit: 90 an Complt th nxt lin o th tr iagram or ah o th ollowing: a 00 b UNIT S START UPS pag S START UPS pag 00 0 Chang o units Chang ah o th ollowing lngths to mtrs: a 9 m b 0 km 000 m mm. km 90 mm Chang ah o th ollowing wights to kilograms: a 000 g b 90 g tonns. tonns 9 g 0. tonns Chang ah o th ollowing tims to minuts: a hours b 0 s ays hours 00 s ays Complt ah numbr statmnt with <, > or =: a 0 min s b 00 m 0. km 0. tonns 0 kg 00 ml L ays 000 min 0.9 L 90 ml Chang th lngth 00 mm to mtrs. Chang th wight 0 g to kilograms. Chang th tim 00 s to minuts. Us < or > or = to mak th numbr statmnt tru: Writ th numbr immiatly bor Writ th oomtr raings or th nxt two srvis or th big our-whl riv: 00 0 an Complt th nxt lin o th tr iagram: Complt with <, > or = tonns 000 kg 9 Cirl any ombination o th wights to balan th sals: kg 00 g kg 00 g 00 g 9 In th numbr 0.0, whih igit: a has th gratst valu? b will hang whn million is a? mans 00? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 00 g 0 g 00 g kg g tonn 9

56 UNIT Ngativ numbrs Pla ah st o numbrs in asning orr: a,,,, 0,,,, b 0, l,, 0,,,,,,, 0,,,,,,, 0,,,, 0, 0, 0, 0,, 0, 0, 9,,,, 0, 0,,,, On Jun 0th th tmpratur was C. What woul th tmpratur b on July st i it was: a grs warmr? b grs oolr? grs olr? 0 grs warmr? grs olr? grs olr? Aam ha $ in his bank aount. What woul his bank balan b i h wrot a hqu or: a $0? b $? $? $0? $9? $? Display th ollowing quations on th numbr lins: a + = < > b 0 + = < > = < > + + = < > + + = < > + = < > Pla th st o numbrs in asning orr:,,, 0, 0, 0,, On Jun 0th th tmpratur was C. What woul th tmpratur b on July st i it was 9 grs olr? UNIT S START UPS pag S START UPS pag Prim an omposit numbrs Intiy whih o th ollowing ar prim (p) an whih ar omposit () numbrs: a 9 b Cirl th numbrs in th gri whih ar ivisibl by th givn ivisor: Divisor a 9 09 b Fin two prim numbrs whih a to giv: a b Writ all o th omposit numbrs btwn: a an b an 0 an 0 0 an 00 an 0 an 0 Intiy i 9 is a prim (p) or a omposit () numbr. Cirl th numbrs on th gri whih ar ivisibl by: Divisor Aam ha $ in his bank aount. What woul his bank balan b i h wrot a hqu or $? Fin two prim numbrs whih a to giv 9. Display = on th numbr lin: < > 9 Solv th numbr sntns: a = b = + + = + + = Writ all th omposit numbrs btwn 90 an 0. 9 List all th prim numbrs lss than 0. 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pags

57 UNIT Frations What part o ah o th ollowing shaps has bn sha? a b UNIT S START UPS pag S START UPS pag Calulator ivision Us th array to in th rations o. a o b o o o o o Fin an sha th ration o ah group: a b What part o ah shap in qustion has not bn sha? a b Sha ah shap to show th givn ration: a b 9 0 o = o = o = o = Fin th ration o ah group: a o = b o = 0 o 0 = o 0 = o = o = o 0 = o 0 = What part o ah group has bn sha? a b What part o is sha? Solv: a Abullah ha 0 postars an snt. How many postars i h sn? b Amy ha bars. Sh gav away. How many bars i sh hav lt? Gorg ha 90 marbls but lost 0 o thm through a hol in th bag. How many i h los? Th ar yar ha 0 ars. wr sol. How many ars wr sol? Di has CD-ROMs but wr us. How many wr blank? Molly ha a pakt o 0 stamps. Sh us o thm. How many stamps i sh hav lt? Us th array in qustion to in o. What part o is not sha? Fin an sha o. Sha to show. What part o has bn sha? Fin o. Thr wr 0 balls that oul b us at lunhtim. I ha bn borrow, how many wr lt? 9 I o a st o pnils ar brokn, an thr ar pnils in a st, how many pnils ar not brokn? 9 Fin: a o 0 b o 00 o 0 o Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

58 UNIT Fration o a group () Fin th rations o: a o = b o 00 = o 0 = o = o 0 = o = Fin th numbr o balls or ah ration: a = b = = = UNIT S START UPS pag S START UPS pag Equivalnt rations () Complt to mak ah o th ollowing quivalnt rations: a ( ) = b ( ) = ( ) ( ) ( ) = ( ) ( ) = ( ) ( ) = ( ) ( ) = 0 ( ) = = Solv: a Ann ha 0 an lttrs an sh rpli to o thm. How many i sh still hav to rply to? b Ramjan ror 0 songs, but only o thm wr us on th album. How many songs wrn t us? Thr wr DVDs in a TV sris st. Danil ha ollt o thm. How many mor DVDs i h n or th st? Antoin ha 0 mails. Sh rpli to 0 o thm. How many i sh rply to? A onrt spial on TV wnt or o an hour. How many minuts i it go or? A mobil phon ring lasts or o sons. How many sons os th phon ring? Draw a iagram or ah o th ollowing an solv: a o b o 0 o 0 o o 9 o 90 Fin o 9. Fin th numbr o o th balls in qustion. Solv: Jainta won o $0. How muh i sh win? Draw a iagram to show o an solv. Complt th quivalnt rations or: a b = = = = = 0 = 9 Complt ah o th ollowing to mak quivalnt: a = b = 0 = = = 9 = Writ tru or als or ah o th ollowing: a = b 0 = = 0 > < < Complt to mak th quivalnt ration: ( ) = ( ) Complt th quivalnt ration or: = Complt to mak quivalnt: = 9 On th tst, Mark sai o 90 was. Was h right? Explain. Writ tru or als or: > 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9 Fin th quivalnt rations or 0 an an irl th largr ration. Answrs on pag

59 UNIT 9 Equivalnt rations () Complt ah o th quivalnt rations: a ( ) = b ( ) = ( ) ( ) ( ) = ( ) ( ) = ( ) UNIT 0 S START UPS pag S START UPS pag ( ) = 0 ( ) ( ) = ( ) Equivalnt rations () Complt th quivalnt rations: a ( ) = ( ) ( ) = ( ) ( ) = ( ) b ( ) = ( ) ( 0) = ( 0) ( ) = ( ) Multiply both th numrator an nominator by to in th quivalnt ration: a = b = = = = = What numbr has bn us to multiply th numrator an th nominator in ah o th ollowing pairs o quivalnt rations? a = b = = 0 = = = Continu th quivalnt ration pattrns: a = = = b = = = = = = 9 = = = = = = 0 0 = = = Complt th quivalnt ration: ( ) = ( ) Multiply both th numrator an nominator by to in th quivalnt ration o: What numbr has bn us to multiply th numrator an nominator? = 0 Continu th quivalnt ration pattrn: = = = Writ as many irnt quivalnt rations as you an or. Complt th quivalnt rations: a ( ) = b ( ) = ( ) 0 ( ) ( ) = ( ) 0 ( 0) = ( ) 9 ( ) = ( ) ( ) = ( ) Complt with < or > or = to mak th statmnts tru: a b 0 Ru ah o th rations to thir simplst orm: a 0 0 = b = = 0 = = Complt th quivalnt ration: Complt th quivalnt ration: ( ) = ( ) 0 ( ) = ( ) = Complt with < or > or = to mak th statmnt tru: Ru 0 0 to its simplst orm. 9 Taz arns $0 a month in pokt mony. Calulat th ration o $0 h spns on ah itm, an thn ru it to its simplst orm: Itm Amount Fration Simplst orm movis $ oo/rink $ bus ars $9 books $0 go-karts $ 9 Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

60 UNIT Impropr rations an mix numbrs UNIT S START UPS pag Writ an impropr ration an a mix numbr or th sha part o ah iagram: a Using rations,,, Writ tru or als or ah o th ollowing: b < < a b, 9 0 < + 0 = 0, a 9 b 0 Writ th impropr ration or: a b Writ th mix numbr or: a 0 b 0 > b += > + 0 = = = b 0 = += += Complt th subtrations: = = = 0 = = Writ an impropr ration an a mix numbr or th sha part o th iagram: 0 a 9 Complt th aitions: a Writ th mix numbr or: >, S START UPS pag 0 = = 0 = Complt th multipliations: a = b = = 0 = = =, 9 Writ th mix numbr or Writ tru or als or: < Complt: + = Complt: = Complt: = 9 Orr th ollowing sts o rations rom smallst to largst: on sixth,, two an on thir,, two thirs, Writ th impropr ration or 9 Writ th mix numbr or 0 Orr th rations rom smallst to largst, writing thm in th sam ormat irst: 0,,,,, Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

61 UNIT UNIT S START UPS pag Fration aition a + = += b = += 0 + = + 0 = A th ollowing rations using th numbr lin: 0 Fration subtration Complt (simpliy i possibl): 0 0 a = b = = = = = 9 A th ration an thn onvrt th answrs to a mix numbr: a += b += 0 ++= += = ++= Rwrit th rations with ommon nominators bor aing: a + = += b + = 0 +9= + 0 = + = Complt (simpliying i possibl): + = A th rations using th numbr lin o qustion : = A an thn onvrt th answr to a mix numbr: += Rwrit th rations with a ommon nominator bor aing: += 9 Answrs on pag Pasal Prss ISBN 9 Ru th rations to th simplst orm: a 0 0 b 0 Complt th subtrations: a 0 = b = = 9 9= 0 = 9 = Complt th subtrations by rwriting th rations with ommon nominators irst: a 9 0 = b = = 0 = = = Fin th irn btwn: a 0 an b an 9 0 an an an an 90 Ru th ration 00 to its simplst orm. Complt th subtration: = Complt th subtration by rwriting th rations with ommon nominators irst: To ollow th rip, Li has to a o a up o irnt lours an a up o sugar. How muh lour an sugar os Li a? pp9-0 Maths_Units_0.in S START UPS pag = Fin th irn btwn: an 9 Thr wr slis out o 0 o th birthay ak lt. I popl ah took sli an prson took, what ration o th ak was lt? Units Exl Avan Skills Start Up Maths Yar /0/0 0:0 AM

62 UNIT Fration aition an subtration UNIT S START UPS pag Fration multipliation () Writ th impropr ration or: Writ th mix numbr or ah o th ollowing: a 0 b a b S START UPS pag Writ th mix numbr or: Writ th impropr ration or ah o th ollowing: a b a b 0 0 Qustion a b A th ollowing rations: a += b + = 0 9 += += + = = b 9 0 = = = 9 = Writ th impropr ration or: Writ th mix numbr or: 0 A: Subtrat: 9 Lisa has o an appl an o an orang. What was th total amount that Lisa ha o th two pis o ruit? Multiply, using rpat aition. Writ th answrs as mix numbrs. a = b = 9= = 0 = = = Writ th impropr ration or: Complt th tabl: Qustion Rpat aition Fration Simplst orm Multiply, using rpat aition. Writ th answr as a mix numbr: 0 = 9 Nin hilrn wr givn mtr o a stramr. How many mtrs o stramr in total wr us? Exl Start Up Maths Yar pp9-0 Maths_Units_0.in Pasal Prss ISBN 9 Simplii ration Writ th mix numbr or: += + Fration 0 + = a Rpat aition Subtrat th ollowing rations: = Us rpat aition to omplt th tabl: Answrs on pag Exl Avan Skills Start Up Maths Yar /0/0 0: AM

63 UNIT Fration multipliation () Simpliy ah o th ollowing: a b 0 UNIT S START UPS pag S START UPS pag Fration multipliation () Us rpat aition to omplt: a = b 0 = 0 0 = = = = Complt th tabl: Qustion Rpat aition Fration Mix numbr Complt th multipliations: a = b = a b 0 0 = = 9 = 0 = Complt th ollowing: a = b 9 = = = Complt th ollowing multipliations: = 0 = a = b 0 = Fin: = = a o an hour = 9 = b 0 o my mony Fin: o a yar a lots o o a bag o appls o a mtr b lots o o a ak o a kilogram lots o o a bag o swts 9 o a ay lots o o a bar o hoolat 9 lots o o a pinappl lots o 0 o a box o pnils Us rpat aition to omplt: = Complt: = Simpliy: Complt th tabl: Qustion Rpat aition Fration Mix numbr Complt: 9 0 = Fin o an appl. 9 Fin: Complt: = Fin lots o o an gg arton. 9 Whih is th largr? or + a 0 = b = + 9 = + = Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

64 UNIT 9 Fration multipliation () Fin th missing numbrs: a b = = = = UNIT 0 S START UPS pag S START UPS pag = = 0 0 Dimal pla valu thousanths Draw ah numbr on its abaus. a b H T U Tth Hths Tths H T U Tth Hths Tths..0 Fin: a o 0 = b o = H T U Tth Hths Tths H T U Tth Hths Tths 9.0. o 9 = o = o = 0 o 00 = a Anton at o th pizza whih ost $. What valu i h at? b Chris spnt o his $00 salary on oo. How muh i h spn? Conni us o a pi o woo. m long. What lngth i sh us? Albrt pour 0 o 900 ml o watr into a masuring jug. How muh i h us? Th watr tank hols 000 L. I ha bn us ovr summr, how muh was lt? In a arton o ggs, o thm ha bn brokn. How many ggs ha bn brokn? Complt: a = b = 0 = 9 = = = Fin th missing numbr: = Fin o. O th 0 minut lsson, o it ha bn spnt builing towrs. How many minuts ha bn spnt builing towrs? Complt: =. 0.9 Writ th numrals or ah o th ollowing: a nin an six tnths b nin an twnty-svn hunrths nintn an ourtn thousanths ninty an ity-two thousanths ninty an two thousanths nintn an twnty hunrths What is th valu o th in ah o th ollowing? a. b Writ th imal or ah o th ollowing: a 00 b H T U Tth Hths Tths 00 Draw.0 on th abaus: 000 Writ nin hunr an on an twnty-on thousanths as a numral: What is th valu o th in.? Writ th imal or: 000 H T U Tth Hths Tths H T U Tth Hths Tths 9 Writ th imal iniat by th arrow on th numbr lin: 9 Lahi spnt o his mony on DVDs an on th movis, laving $0. How muh mony i h spn on DVDs?.0.0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

65 UNIT Dimal aition Complt: a. +. b Complt: a b UNIT S START UPS pag S START UPS pag Dimal subtration Complt: a.0 0. = b =. 0. =. 0. =.. =.. = Complt: a.. b Fin th ost o: $. $.9 $9.0 $.9 a a CD an a gam b omis an a skatboar a T-shirt an a pair o shos CDs a omi an gams T-shirts an a skatboar Fin: a $. b $. 9 $. 9 + $. $. + $. 00 $9. $. $. $. + $. 9 Fin th irn btwn: a $. an $9. b $. an $90. $0.90 an $. $0.0 an $. $.0 an $9 $0 an $. Complt: a 9.. b $. $ $. $. $ 9. $. 0 + $. Complt: Complt: Fin th total ost o on o ah o th itms in qustion. Fin: $. $. + $. 9 $. $. $ $ Complt:.. = Complt: 9.. Fin th irn btwn $ an $9.: Complt: Writ a problm that maths th numbr sntn an solv it:.9 km +.0 km + km Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9 Johnny bought. m o wir or his shool projt. Atr h was inish, thr was. m lt. How muh wir i Johnny us? 9

66 UNIT Dimal multipliation Complt: a. b. 9.. UNIT S START UPS pag S START UPS pag. 9. Dimal ivision Complt: a b ). ).9 ). ). ). ). Fin th ost o: $.0 $. $.0 $. $.9 a loavs o bra b pakts o bisuits litrs o milk jars o jam an pakt o hs loavs o bra an pakt o hs litr o milk, pakts o bisuits an jars o jam Fin: a $. 9 b $. $. $. 9 9 What is th total lngth o: a lngths o. m o woo? b lngths o. m o ribbon? 9 lngths o. m o tap? lngths o.9 m o hos? lngths o. m o string? lngths o. m o stl? Complt: 9. 9 $. $. Rrring to qustion, in th total ost o loavs o bra, pakts o hs an jar o jam. Fin: $. Complt: a b ). ). ). ). ). ). Writ th ost pr book i ah st ost: a $9. or 0 books b $. or books $.0 or books $. or books $. or books $.9 or books Fin: a th ost o bar o soap i ost $. b th ost o toilt roll i ost $.9 th ost o pakt o hips i ost $.00 th ost o pakt o swts i ost $.00 th ost o jui pak i ost $. th ost o an o rink i ost $.9 Complt: Complt: 9 ). ). Writ th ost pr book i a st ost $. or books. Fin th ost o pakt o soup i ost $.. What is th total lngth o lngths o 0. m o arpt? 9 Whih o th ollowing rprsnts th bst valu or mony? L o milk or $.0 or 00 ml or $.0? 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9 Is th answr to th ivision quation orrt? I not, in th orrt answr.. ) 99.9 Answrs on pag

67 UNIT Multipliation an ivision o imals () Fin ah o th ollowing: a 0. 0 = b. 0 =. 0 = =. 0 = = UNIT S START UPS pag S START UPS pag Multipliation an ivision o imals () Complt th ollowing quations: a 00 = b 00 = 00 = 000 = 000 = 000 = Fin ah o th ollowing: a. 00 = b =.9 00 =. 000 = =. 000 = Fin ah o th ollowing: a 0. 0 = b. 0 =.9 0 = 0. 0 =.9 0 =. 0 = Fin ah o th ollowing: a = b =.9 00 = = = = Fin. 0 = Fin = Fin. 0 = Fin = 9 Complt th tabl: Numbr Complt th ollowing multipliations with th ai o a alulator: a. 0. = b. 0. =. 0. =. 0.0 =. 0.0 =. 0.0 = Complt th ollowing ivisions with th ai o a alulator: a 9 0 = b 0 = 9 0 = 00 = 9 00 = 00 = Complt th ollowing ivisions with th ai o a alulator: a 9. = b. = 9. =. =.9 =. = Complt th quation: 00 = Complt th multipliation quation:. 0. = Complt th ivision quation: 9 00 = Complt th ivision quation: 9. = 9 Explain why th answrs to th ollowing quations ar th sam: 00 =. 0. = Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

68 UNIT Frations an imals Writ th imals or ah o th ollowing rations: a 00 = b 000 = 0 = 000 = UNIT S START UPS pag S START UPS pag 9 00 = 0 = Writ th ration or ah o th ollowing imals: a 0. = b 0. = 0. = 0.0 = 0.0 = 0.00 = Fin ah o th imals or th ollowing rations: a = b 0 = = = = = Complt th tabl: a b Fration o 00 Dimal Rouning imals Roun ah o th ollowing imals to on imal pla: a. b Roun ah o th ollowing imals to two imal plas: a.9 b Roun ah o th ollowing to th narst whol numbr an stimat th answr: a b Do ah o ths alulations an thn roun ah o th answrs to on imal pla: a b Writ th imal or: 00 Writ th ration or: 0. Fin th imal or: 0 Complt th tabl: Fration o 00 9 Sha th hunrs squar to show 0 : Dimal Roun.0 to on imal pla. Roun 9. to two imal plas. Roun to th narst whol numbr an stimat th answr to: Do th aition an thn roun th answr to on imal pla: Elsi want to s i sh ha nough mony. Roun ah amount to th narst ollar to stimat th total ost: Orang jui $. Bra $.9 Milk $. Buttr $. Jam $.9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

69 UNIT 9 UNIT 90 S START UPS pag 9 Prntags () Prntags () Exprss th ollowing imals as prntags: a 0. b a 0 b Prntag b 0% o $0 0% o $ 0% o $0 Draw lins to math th prntags an rations: a 0% b % 0 % 0% 0% 0 % Fin th isount on: a $00 amra with 0% isount b $9 skatboar with 0% isount $0 omputr gam with % isount $0 DVD box st with 0% isount $0 rollrblas with % isount $0 printr with 0% isount 9 0%, 0., 00 Fin 0% o 0. 00, 0., % Fin 0% o $. Math th prntags an rations: 00% a Cirl th largst amount in ah group: a 0, 0.9, % b %, 00, 0. 0., 9%, , 90%, 00 Exprss 0.0 as a prntag. Exprss % as a imal. Complt th tabl: Fration b Dimal Prntag 00 Cirl th largst amount o: 00, %, 0. 9 Writ ah o th ollowing rations as a prntag: a b 90% o 00 = 0% o 0 = 0% o 90 = Fin th prntag o ah amount: a 0% o $0 % o $ 0% o $0 Complt th tabl: Dimal Fin th prntag o ah quantity: a 0% o 0 = % o 0 = 0% o 0 = Exprss ah o th ollowing as imals: a % b % 9% % % % Fration S START UPS pag 9 b Answrs on pags Pasal Prss ISBN 9 pp9-0 Maths_Units_0.in 0 0% 0% Fin th isount on a $00 tlvision with a 0% isount. 9 Using a alulator, in: a % o 0 b 0% o 0 0% o % o Units Exl Avan Skills Start Up Maths Yar /0/0 : AM

70 UNIT 9 Prntags () Sha ah o th ollowing shaps th givn prntag an stat th answrs: a b % % 0% % 0% 0% Fin th prntag o ah amount: a 0% o $ b 0% o $ % o $ 0% o $ 0% o $9 0% o $ Fin th prntag o ah quantity: a 0% o 0 pigs b 0% o goats % o 00 ats 0% o hikns 00% o horss 0% o 0 birs Complt th tabl: a b Pri $0 $0 $0 $0 $900 $0 % o Disount Disount pri Sha 0% o th irl an stat th answr: 0 UNIT 9 S START UPS pag 9 S START UPS pag 9 Frations, imals an prntags Exprss ah o th ollowing as prntags: a 0. b Exprss ah o th ollowing prntags as imals: a % b % 0% 9% % % Exprss ah o th ollowing rations as prntags: a 0 b Cirl th largst valu in ah group: a 00, 9 0., % b 0., 0, % 00, 0., % 9%, 0.99, , 0 00, %., 0%, 9 00 Fin % o $0: Fin 0% o 0 ows: Complt th tabl: Pri $0 % o 0 Disount Disount pri 9 I a box o pnils ost $ atr a isount o 0%, what was th original pri o th pnils? Exprss. as a prntag. Exprss % as a imal. Exprss 9 00 as a prntag. Cirl th largst valu o: %,., Exprss ah prntag as a ration in its simplst orm: a 0% b % 0% 90% Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

71 UNIT 9 Mony in shopping List th smallst numbr o nots an oins n to mak th ollowing amounts: a $. b $.0 $. $.9 $.0 $. How muh hang woul b riv rom $0 atr spning th ollowing? a $.0 b $. $. $.90 $.0 $.0 Fin: a I tub o toothpast osts $., how muh o tubs ost? b I ans ost $., how muh ar ans? What was th total ost o loavs o $.9 ah, tub o margarin $. an jar o jam $.? Coul Albrt buy magazins at $.9 ah an hoolat bars at $.0 ah or $0? Whih box o ral is bttr valu or mony? A:. kg or $. or B:. kg or $.0 I Jo bought bottls o rink or $., how muh hang i h riv rom $0? Fin th total o ah amount an roun to th narst nts. a $. $. 0 $. 9 + $. b $. $. $. + $. 0 $. $. 9 $. 0 + $. $. 9 $. 0 $. + $. 9 $. $. 9 $. + $. 0 $. $. 0 $ $. List th smallst numbr o nots an oins n to mak $.90 How muh hang woul b riv rom $0 atr spning $9.0? I bag o potatos osts $., what woul b th total ost o bags o potatos? Fin th total an roun to th narst nts. $. $. 9 $. + $. 9 9 Whih is bttr valu? orangs or $.00 or a bag o orangs at $. whih has orangs in it? UNIT 9 S START UPS pag 9 S START UPS pag 9 Mony in banking Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Dat Dtails Dbit Crit Balan / Brought orwar 9. / Dposit / Hom loan..9 9/ Chqu / Dposit / Cash withrawal a How muh was th aount at th start o th month? b How muh was th aount on /? What was th total o all th posits (rits)? What amount was ut or th hom loan? How muh ash was withrawn? What was th total amount o hqus writtn? For th abov aount, in th inal balan atr: a salary posit $0 on / b irnt hqus writtn on / or $ an $.0 ash withrawal o $00 on / intrst pai $. on / posit o $ on / govrnmnt paymnt $. on / Complt th tabl: A$ = $ souvnir = a C$0. b NZ$ S$0.9 HK$.0 Using th inormation rom qustion, writ tru or als. a A$ < NZ$ b > HK$ > A$ S$ < HK$ C$ < S$ < NZ$ How muh mony was withrawn rom th aount btwn an 0 January in qustion? What was th inal balan o th aount in qustion? Complt th tabl: A$ $ souvnir Bht. Writ tru or als: Bht > HK$ 9 I A$ = 0.0 a How muh woul A$00 b worth in Europ? b I I arn 000, how muh Australian mony woul I hav?

72 UNIT 9 UNIT 9 Symmtry How many lins o symmtry o ah o th ollowing hav? a b S START UPS pag 9 S START UPS pag 9 Rotational symmtry Do ah o th ollowing shaps hav rotational symmtry? a b Draw all th lins o symmtry or ah o th ollowing: a b Complt ah o th ollowing shaps by using th lins o symmtry: a b What is th orr o rotational symmtry o ah o th ollowing? a b Do ah o th ollowing hav rotational symmtry? a b Mark all o th shaps that hav rotational symmtry: a b Draw th ollowing shaps, atr ah has bn rotat 90 lokwis about th mark point: a b How many lins o symmtry os hav? Draw all th lins o symmtry or: Iniat i has rotational symmtry. What is th orr o rotational symmtry o: Complt th shap using th lin o symmtry: Dos hav rotational symmtry? Dos hav rotational symmtry? 9 Complt th pitur: Draw th shap atr it has bn rotat 0 lokwis about th mark point: 9 Dos th shap hav rotational symmtry? I so, what orr? Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 9

73 UNIT 9 S START UPS pag 9 UNIT 9 S START UPS pag 0 Diagonals, paralll an prpniular lins Paralll, horizontal an vrtial lins Cirl th prpniular lins: a b Cirl th paralll lins: a b ) () ) () () () Writ tru or als or ah o th ollowing statmnts about th iagram: a lins AD an CD ar prpniular b lins AB an CD ar prpniular lins BC an AD ar paralll lins AB an BC ar at right angls lin CD is a iagonal lin AC is a iagonal D A C B Draw th iagonals on ah o th ollowing shaps: a b Complt th tabl: a Shap No. o sis No. o iagonals squar b rtangl pntagon hxagon hptagon otagon Ar th lins prpniular? Labl th ollowing as vrtial, horizontal or nithr: a b Answr tru or als or ah o th statmnts o th iagram: D a lin AC is a iagonal b lin BC is horizontal C lins AB an CD ar paralll A B lins AC an BD ar paralll lins AD an AB ar prpniular lins AD an BC ar horizontal Cirl th ollowing lttrs whih hav paralll lins: a b Ar paralll? Labl th ollowing lin as vrtial, horizontal or nithr. Writ tru or als or th statmnt o th iagram in qustion : Lins BC an CD ar paralll. Draw th iagonals on: Answr tru or als or th statmnt about th iagram in qustion. Lin AD an AC ar vrtial. Dos th lttr hav paralll lins? Complt th tabl: Shap No. o sis No. o iagonals nonagon 9 Draw iagrams o th ollowing rgular shaps to in whih ontain paralll lins: a pntagon b hxagon 9 O th numbrs 0 to 0, whih ontain prpniular lins? Answrs on pag 9 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

74 UNIT 99 S START UPS pag 0 UNIT 00 S START UPS pag 0 Angls Raing angls () Ra ah angl to th narst gr an writ its siz in grs. a b Iniat whih o th ollowing ar rlx angls: a b Iniat whih o th ollowing ar straight angls: a b Masur to th narst gr ah o th ollowing: a b Estimat th siz o ah o th ollowing angls: a b Iniat whih o th ollowing angls ar aut: a b Us a protrator to masur ah o th ollowing angls an thn nam ah angl: a b Iniat whih o th ollowing angls ar obtus: a b Is a rlx angl? Ra th angl to th narst gr an writ its siz in grs. Is a straight angl? Masur to th narst gr: Estimat th siz o: Is aut? Us a protrator to masur an nam: Is obtus? 9 Masur with a protrator ah o th angls o a pntagon. What i you isovr? 9 Masur with a protrator to in th smallst angl btwn th hans. 0 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 9

75 UNIT 0 S START UPS pag 0 UNIT 0 S START UPS pag 0 Raing angls () Drawing angls Estimat th siz o ah angl bor masuring it auratly with a protrator: a b ( ) ) ) Draw ah o th ollowing angls: a b 0 0 ) ) Fin th siz o ah rlx angl by masuring th smallr angl irst: a b Draw: a an aut angl b an obtus angl a straight angl a rvolution a rlx angl < 0 a rlx angl > 0 Nam ah o th ollowing angl typs: a b ) On a pi o papr, raw an angl o: a b ) ( 00 0 Masur ah o th rlx angls: a b On a pi o papr, raw th rlx angls: a 0 b Estimat th siz o th angl bor masuring it auratly with a protrator: Fin th siz o th rlx angl by masuring th smallr angl irst: Nam th angl typ: Masur th rlx angl: 9 Writ th angl shown on th 0 protrator: ) ( Draw: 0 Draw an aut angl <. Draw a 9 angl. Draw a rlx angl. 9 Using a protrator, raw a rgular pntagon auratly. Answrs on pags 9 0 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

76 UNIT 0 UNIT 0 Angl ats In ah qustion a to th angls mak a straight angl. Fin th siz o ah missing angl: a b 0 S START UPS pag S START UPS pag D objts Math th nam to ah objt: triangular prism, rtangular prism, triangular pyrami, ub, pntagonal prism, hxagonal pyrami a b 9 In ah qustion a to th angls togthr masur 0. Fin th valu o ah missing ajant angl: a b Nam ah o th ollowing solis: a b 0 Fin th missing angls in ah o th ollowing triangls: a b 0 Math ah o th ross-stions with th solis list abov in qustion : a b Fin th valu o ah o th missing angls: a b Th angls togthr mak a straight angl. Fin th missing angl: I th angls togthr masur 0, in th valu o th missing ajant angl: Fin th missing angl: 0 Fin th valu o th missing angl, g. 9 Fin th siz o th missing angl: g 0 0 Complt th tabl: Objt Fas Egs Vrtis a ub b rtangular prism triangular prism hxagonal prism squar pyrami triangular pyrami Math th nam to th objt: rtangular prism squar pyrami ub Nam th soli: Math th ross-stion with th objt: Complt th tabl: Objt Fas Egs Vrtis rtangular pyrami 9 What am I? I hav vrtis, as an gs. I am ma rom quilatral triangls an a squar. 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 0

77 UNIT 0 S START UPS pag UNIT 0 S START UPS pag Drawing D objts Proprtis an viws o D objts List th shaps that mak up a: a rtangular prism b squar pyrami ub rtangular pyrami triangular prism hxagonal prism Pla ott lins in ah o th ollowing to provi th hin tail: a b Complt th tabl: a Nam No. o b suras No. o gs No. o vrtis No. o urv suras Front viw Whih o th shaps in qustion oul hav a viw o: a b Look at ah o th ollowing objts an prati rawing thm: a b Nam th D objts that ar onstrut rom: a otagons an rtangls b triangls rtangl an triangls rtangl an irls squars an rtangls hxagon an triangls List th shaps that mak up a pntagonal prism. Draw in ott lins to show th hin tail: Writ th nam o th ontainr us in ah stak: a b Writ how many ontainrs hav bn pla in ah o th staks in qustion : a b Complt th tabl: Look at th rtangular prism an prati rawing it. Top viw Whih o th shaps in qustion has th viw: Nam th D objt that is onstrut rom triangls an rtangls. 9 Nam a soli that has: a lss than as b an vn numbr o vrtis Writ th nam o th ontainr us in th stak. Answrs on pags 0 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Writ how many ontainrs hav bn pla in th stak o qustion. 9 a How many ornrs os a ttrahron hav? b Do ttrahrons stak wll?

78 UNIT 0 UNIT 0 Cylinrs, sphrs an ons Nam ah o th ollowing objts: a b Complt th tabl: a b Si viw No. o gs No. o suras No. o ornrs No. o urv suras Dos it roll? O th objts in qustion : a Whih objt rolls th bst? b How os a on roll? How os a ylinr roll? Whih objt has no sis? Whih objt mts at a point? Whih objt has only on sura whih is urv? Skth: a a on b a ylinr a sphr a on on top o a ylinr a ylinr with a sphr at ah n a sphr on top o a on Nam: S START UPS pag S START UPS pag Con Cylinr Sphr Cub Paralllograms an rhombuss Math th nams an iagrams: a squar b rhombus irl kit rtangl paralllogram Cirl th ollowing whih ar paralllograms: a b Cirl th ollowing whih ar rhombuss: a b Complt ah o th paralllograms: a b Math th nam to th shap: paralllogram, rhombus, trapzium Cirl th ollowing whih ar paralllograms: Cirl th ollowing whih ar rhombuss: Complt th tabl: Con Cylinr Sphr Cub Top viw Complt th paralllogram: O th objts in qustion, whih has all points on th sura th sam istan rom th ntr? Skth ylinrs stak in rows o. 9 Draw a tssllating pattrn using a rhombus: 9 Is it asir to stak sphrs, ons or ylinrs? Draw a iagram to illustrat your answr. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

79 UNIT 09 UNIT 0 Gomtri pattrns Cirls Complt th ollowing tabl: Numbr o triangls Numbr o sis a b Complt th ollowing tabl: Numbr o triangls Numbr o sis a b Complt th ollowing tabl: Numbr o triangls S START UPS pag S START UPS pag Math th pitur with its labl: a ntr b raius iamtr irumrn ar stor Math th labl an sription: a ntr irls with a ommon ntr b smiirl th primtr o th irl onntri irls part o th irumrn irumrn th point in th mil ar hal th insi o th irl stor an ara boun by two raii an an ar Masur th iamtr o ah o th ollowing irls: a b Numbr o sis a b 0 Rpat th ollowing pattrns: a,,,,, b,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, Masur th raius o ah o th ollowing irls: a b Writ th rul or qustion : Writ th rul or qustion : Writ th rul or qustion : Complt th pattrn:,,,,, Math th pitur with its labl: a quarant b stor smiirl Math th labl an its sription: a smiirl quartr o a irl b quarant part o th irumrn ar hal o a irl Masur th iamtr o th irl: 9 Writ a rul or: Masur th raius o th irl: 9 Copy this sign insi a irl, using th iamtr to hlp you. Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

80 UNIT UNIT Nts an D objts Complt th ollowing tabl: a b Shap Diagram ub ylinr on sphr triangular prism rtangular prism No. o gs S START UPS pag S START UPS pag No. o vrtis Draw th top viw o a: a ub b ylinr on sphr triangular pyrami rtangular prism Nam th D objt th nt maks: a b No. o suras Sal rawings I th sal or th ollowing intrvals is m : km, what is th lngth rprsnt by ah? a b I th sal or th ollowing intrvals is :0, what is th lngth rprsnt by ah? a b This ant has bn rawn to a sal o : (it is tims largr than in ral li). What os this ant masur (in millimtrs)? a lngth b with lngth o ha What os a ral ant masur (in millimtrs)? lngth max. boy with lngth o ha Iniat whih o th ollowing nts maks up into an opn ub: a b Complt th tabl: Shap Diagram triangular pyrami No. o gs No. o vrtis No. o suras Draw th top viw o a triangular prism. Nam th D objt th nt maks: Iniat i maks up into an opn ub. Complt th ollowing tabl: Dsription Lngth With Sal Sal lngth Sal with a bakyar 0 m 0 m m : m b sports groun 00 m 0 m m : 0 m swimming pool m 0 m m : m shool groun 900 m 00 m m : 00 m park 00 m 00 m m : 00 m garag m m m : m I th sal o th intrval is m : km, what is th lngth rprsnt? I th sal o th intrval is : 0, what is th lngth rprsnt? Using th ant in qustion, what is th lngth o a ral ant s ront lg? Complt th tabl: Dsription Lngth With Sal Sal lngth Sal with ourtyar m m m : m 9 Rraw th ollowing triangl using a sal o :. 9 Draw th nt o an otagonal pyrami. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

81 UNIT UNIT Sal rawings an ratios Tssllation an pattrns Labl th imnsions o ah o th polygons i th sal is m : m ( : 00). a b S START UPS pag S START UPS pag Whih o th ollowing shaps tssllat? a b Rlt ah o th ollowing shaps in th ott lin: a b I th sal is : 0 or ah o th shaps in qustion, what ar thir imnsions? a b Eah o th ollowing piturs is rawn to th givn sal. Fin th hight o ah o th animals: a : 00 b : 0 : 0 : 0 : 0 : 00 For th rtangl, alulat th total numbr o squars whn th si lngths ar ma: a twi as long b tims as long tims as long 0 tims as long tims as long tims as long Labl th imnsions o th iamon i th sal is m : m ( : 00). I th sal is : 0 or th iamon in qustion, what ar its imnsions? Th possum is rawn to th givn sal. Fin th hight o th possum: : 0 For th rtangl, what happns to th total numbr o squars whn th si lngth is ma as long? 9 A tr. m tall throws a shaow 0 m long. What is th ratio o th tr s hight to th shaow? Translat ah o th ollowing shaps to th right: a b Rotat ah o th ollowing shaps lokwis through 90 about th ot: a b Dos tssllat? Rlt th shap in th ott lin: Translat th shap to th right: Rotat th shap lokwis through 90 about th ot: 9 Crat your own shap insi th squar: Draw it into th top lt box an rotat th small box about th blak ot to omplt: Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

82 UNIT UNIT Compass irtions Maps () What is th irtion halway btwn: a north an ast? b north an wst? north an south? south an ast? south an wst? ast an wst? I you ar aing north, what irtion is: a to your lt? b to your right? bhin you? in ront o you? iagonally ( ) to your lt? iagonally ( ) to your right? Using th gri, nam th shap that is: a ast o th star b south o th rtangl north-ast o th rtangl south-wst o th oval north-wst o th oval wst o th iamon Starting rom th point X an using north as up, ollowing ah o th irtions blow, srib whr you n up: a go 0 m N, thn m W, thn 0 m S b go 0 m E, thn m S, thn m W go m W, thn 0 m N, thn 0 m E, thn 0 m S go m S, thn m E, thn m N, thn m W go m N, thn m S, thn m W, thn 9 m E go m E, 0 m N, thn 0 m W, thn 0 m S What is th irtion halway btwn south an north? I you ar aing north, what irtion is iagonally ( ) bhin you to th lt? Using th gri in qustion, nam th shap that is north o th squar. Starting rom th point X, an using north as up, srib whr you n up atr you go 0 m N, thn m E, thn m S an inally 0 m W. 9 What angl lis btwn th ompass irtions? a south an wst? b north an ast? ast an wst? S START UPS pag S START UPS pag Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Us th irtions an istans to in ah stination: 00 m Sultana Sli Appl Point Banana Bah Paw Paw Campsit Chrry Cov Strawbrry Summit Orang Obstal Cours Cantaloup Canoing Avoao Absiling Par Whar a start at Paw Paw ampsit an travl north 00 m b thn travl 00 m south-wst thn travl 00 m south, thn 00 m wst thn travl ast 00 m thn travl north 00 m thn travl north 00 m Giv th irtion or ah o th ollowing: a Avoao Absiling to Appl Point b Chrry Cov to Orang Obstal Cours Appl Point to Strawbrry Summit Par Whar to Paw Paw Campsit Banana Bah to Cantaloup Canoing Sultana Sli to Chrry Cov Estimat th istan btwn ah o th loations: a Avoao Absiling to Appl Point b Chrry Cov to Orang Obstal Cours Appl Point to Strawbrry Summit Par Whar to Paw Paw Campsit Banana Bah to Cantaloup Canoing Sultana Sli to Chrry Cov Giv th irtion o ah o th ollowing rom Paw Paw Campsit: a Appl Point b Par Whar Banana Bah Sultana Sli Chrry Cov Avoao Absiling Fin th stination whn starting at Chrry Cov an travlling north-wst or 00 m. Giv th irtion rom Orang Obstal Cours to Cantaloup Canoing. Giv th istan btwn Orang Obstal Cours an Cantaloup Canoing. Giv th irtion o Strawbrry Summit rom Par Whar. 9 a Draw a path on th map rom Appl Point aroun th oast to Strawbrry Summit. b List th irtions an istans travll. Answrs on pag

83 UNIT UNIT Maps () Maps () 0 m 9 0 K, Yar & blok Library Yar blok Yasu Arthur Car park N Brig Tom Sophi Playgroun Oi Alx Amy S START UPS pag S START UPS pag Yar blok Li Lunh ara Yar & blok Jak A B C D E F G H I J K Giv th oorinats o th position o th hilrn mark on th map: a Yasu b Tom Arthur Amy Jak Li Mark th ollowing oorinats on th map: a C b F I D G A Us th sal to alulat th shortst istan btwn th: a Car park an th Oi b Oi an th Yar & blok brig at th top o th playgroun an th Yar blok Yar an Yar blok Library an th Oi Yar blok an th Car park Us th irtion to in ah loation rom th Oi: a to th builing north-wst b to th loation south-wst to th loation 0 m north to th loation 0 m north to th loation 00 m wst to th loation 00 m north-ast Giv th oorinats o th position o Sophi mark on th map. Mark th oorinat E with a irl. Us th sal to alulat th shortst istan btwn th Lunh ara an th Oi. Fin th loation rom th Oi 0 m south. 9 Draw an srib th path rom th Car park to th Lunh ara. Draw vrtial lins an labl thm A H. Us th marks that hav bn suppli. town / roa railway trak... unma roa Draw th horizontal lins an labl thm 0 to omplt th oorinat gri. Us th oorinat points to a th ollowing towns on th map with a grn ross: a Grn Town (B) b Blu Town (C) Yllow Town (E) Orang Town (F) R Town (G) Purpl Town (D) Complt th paths on th map by rawing: a a roa btwn Grn Town an R Town. b a railway lin btwn Blu Town an Purpl Town. an unma roa btwn Yllow Town an Orang Town. a roa btwn Blu Town an R Town via Yllow Town. a railway lin btwn Orang Town an Purpl Town via Grn Town. an unma roa btwn R Town an Purpl Town via Orang Town. Mark north on th map. A a lak at G. Us th oorinat points to a Blak Town to B with a ot. Draw a roa btwn Blak Town an Grn Town. 9 Giv th ompass irtion rom: a Blak Town to Grn Town b Orang Town to Purpl Town Purpl Town to Blu Town Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

84 UNIT 9 UNIT 0 Coorinats () Coorinats () S START UPS pag S START UPS pag Washington Orgon Caliornia Nvaa Iaho Utah Arizona Montana Wyoming Colorao Nw Mxio North Dakota South Dakota Nbraska Kansas A B C D E F G H I J K L M N O P Q Minnsota Iowa Wisonsin Missouri Arkansas Oklahoma Txas Louisiana Illinois Mississippi Iniana Ohio Kntuky Tnnss Nam th Amrian Stat that has th oorinats: a J b G C L9 M G Giv th oorinats or: a Iowa b Washington Caliornia Wisonsin Txas Gorgia Giv th irtion o: a Utah rom Arizona b North Dakota rom Montana Arkansas rom Louisiana Ohio rom Kntuky South Dakota rom Oklahoma Colorao rom Kansas Giv what stat is: a wst o Iaho b north o Illinois ast o Louisana south o Kntuky wst o Montana wst o Gorgia Nam th Amrian stat that has th oorinats H. Giv th oorinats or Mississippi. Giv th irtion o Txas rom Nvaa. Giv what stat is south-ast o Kansas. Alabama Gorgia 9 List th stats that you woul travl through i you lt Caliornia an inish up in Louisiana. Karamay Harbin Yining Urumqi Changhun Kashgar Yumn Bijing Golmu Shijiazhuang Xining Zhngzhou Xi an Shanghai Yangtz Rivr Lhasa Nanhang Inia Changhun Guiyang Changsha Kunming Taipi Burma Nanning 0 Hong Kong Philippins A B C D E F G H I J 000 km Nam th loation that has th oorinats: a E b C H G D G0 Giv th oorinats o: a Golmu b Yining Shanghai Harbin Taipi Bijing Whih loation is immiatly: a wst o Xining b north o Zhngzhou south o Harbin ast o Guiyang north-ast o Kunming south-ast o Urumqi Giv th approximat irt istan btwn th two loations to th narst 000 km: Loation Loation Distan btwn a Nanning Guiyang b Bijing Shanghai Nanhang Taipi Harbin Bijing Karamay Urumqi Lhasa Golmu Nam th loation that has th oorinat C. Giv th oorinats o Lhasa. Whih loation is immiatly north-wst o Changsha? Giv th approximat irt istan btwn: Loation Loation Distan btwn Xi an Hong Kong 9 Giv a list o oorinats that oul b us or th Yangtz Rivr. Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

85 UNIT UNIT Analog tim Digital tim Draw ah o th ollowing tims on th lok as: a hal past 9 b o lok o lok S START UPS pag S START UPS pag 0 9 Writ ah o th ollowing in igital tim: a b hal past hal past o lok Draw ah o th ollowing tims on th lok as: a quartr to b quartr past quartr to quartr past quartr to 9 quartr past Writ ah o th ollowing tims in wors: a b Fin th irn btwn hal past an th tim shown: a b For ah o th ollowing igital tims, writ bor miay or atr miay: a AM b AM : :9 AM AM : Us am or pm to writ: a : morning b :0 vning : atrnoon : morning : atrnoon :0 morning Fin th irn btwn: a :0 pm an :9 pm b : am an 9: am : pm an : pm : pm an 0:9 pm 0:0 am an : pm :0 am an : pm : Writ 0 in igital tim. 9 PM 0: PM : Draw hal past on th lok a: Draw quartr to on th lok a: Writ in wors. Fin th irn btwn hal past an tn to. 9 Lunh tim ns at minuts past. I thr is hours lt o shool, what tim will th bll ring to go hom? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar For PM, writ bor miay or atr : miay. Us am or pm to writ 9: in th morning. Fin th irn btwn 9:0 am an : pm. 9 Complt th lok as to show a irn in tim o hours an minuts. 0 9 PM : 9

86 UNIT UNIT Digital an analog tim -hour tim () Writ ah o th ollowing tims in wors: a b S START UPS pag S START UPS pag Us -hour tim to writ: a : am b 9:0 am : am : pm : pm : pm Draw ah o th ollowing tims on th lok as: a :9 am b : pm : am :09 pm : pm :0 am Writ ah o th ollowing as a igital tim: a b Us am or pm to writ: a b Writ ah o th ollowing in -hour tim: a AM b PM : 0: PM : AM PM : :0 PM : Writ ah o th ollowing as a igital tim: a quartr to b minuts past minuts past 9 minuts to miay quartr past 9 minuts to Writ 0 in wors. 9 Draw 0: on th lok a: Writ 0 in igital tim Th ollowing loks show -hour tim. Us am or pm to rwrit th tims: a b Us -hour tim to writ : pm. Us am or pm tim to writ. Writ PM in -hour tim. 9: Writ minuts past 0 as a igital tim. 9 Complt with < or > to mak th numbr sntn tru: minuts to : 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar shows -hour tim. Us am or pm to rwrit th tim. 9 Th light or Mlbourn rom Syny lavs at 0. What tim is this in th vning? Answrs on pag

87 UNIT UNIT -hour tim () Stopwaths Us am or pm to writ: a 9 b S START UPS pag S START UPS pag Writ ah o th ollowing tims in ull: a 0:: b ::0 00:0:9 0::0 ::9 :: Us -hour tim to writ ah o th ollowing: a : pm b : pm : am : am :9 pm 9: am Us -hour tim to writ ah o th ollowing: a 9 past vning b to 9 morning past morning to atrnoon to vning past morning Fin th irn btwn: a : am an 9: am b : pm an :00 pm 0: am an :0 pm : am an : pm 090 an 9 an 00 Us am or pm to writ. Us -hour tim to writ : pm. Us -hour tim to writ minuts past, morning. Fin th irn btwn an 0. 9 Complt th tabl: minuts to in th atrnoon Analog tim Digital tim -hour tim 0 9 : Cirl th astr (shortr) tim in ah pair: Tim Tim a 00:09: 00:09:0 b 0:: 0:0: ::9 :0: ::0 :: ::9 :0:9 ::0 ::0 Writ th irn in tim btwn: a 0:0: an 0:0: b 0: 0: an 0:0: :: an :: ::9 an :: :: an :: 0:9: an 0:00: Convrt ah o th ollowing tim ats: a hours = minuts b minuts = sons 0 sons = minuts ays = wks ays = hours yars = wks Writ :09: in ull. Cirl th astr (shortr) tim: Tim Tim 0:0:9 0:: Writ th irn in tim btwn 0:0: an 0:0: Convrt: ay = minuts 9 Complt th tabl: Days Hours Minuts Sons Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

88 UNIT UNIT Timlins Mark th bginning o ah o th tropial ylons in th Australian rgion on th timlin: a Phob: August b Raymon: Dmbr Sally: January Tim: January Vivinn: Fbruary Ingri: Marh Aug. Sp. Ot. Nov. D. Jan. Fb. Mar. Apr How many ays wr btwn th bginning o th tropial ylons: a Phob an Raymon? b Sally an Tim? Vivinn an Ingri? Phob an Sally? Raymon an Ingri? Tim an Vivinn? Many tropial ylons last or a numbr o ays. Mark th uration o ah o th ollowing ylons on th timlin: a Raymon: Dmbr January b Krry: January Sally: 0 January Tim: January Harvy: Fbruary Vivinn: 0 Fbruary Dmbr January Fbruary Marh Dsign a timlin to show th ollowing vnts in Coopr s li: a wnt to th Commonwalth Gams 00 b born 99 rprsnt shool basktball tam 00 start shool 000 wnt to Amria 00 brok arm 00 S START UPS pag S START UPS pag Timtabls Monay to Friay train timtabl am am pm pm pm Galah 0: :0 :00 : :0 Coky :00 : :0 :00 : Parrot :0 : : :0 : Bugi : : : : : Swan : : : : : Duk :0 : : :0 : Us -hour tim to writ: a :0 am : pm :0 pm b : pm : am :00 pm Us am or pm to writ: a 0 b Us th timtabl to in what tim th train lavs: a Bugi Station th irst tim b Duk Station th last tim Parrot Station in th morning Coky Station in th morning Swan Station in th atrnoon Galah Station in th atrnoon Syny to Hobart light timtabl Syny Hobart How many lights lav Syny: a bor noon? b atr miay? Giv th arrival tim (am or pm tim) in Hobart or th ollowing Syny partur tims: A th tropial ylon Willy: 9 to 0 Marh to th timlin o qustion. How many ays wr thr btwn th bginning o th topial ylons Phob an Vivinn? Tropial ylon Will last 9 Marh. Mark this uration on th timlin o qustion. A sistr born 99 to Coopr s li timlin o qustion. 9 Invstigat volanos an rat a timlin o ruptions. Us -hour tim to writ :. Us am or pm tim to writ. Us th timtabl to in what tim th train lavs Parrot Strt in th atrnoon. On th timtabl in qustion, how long is th light? 9 I th nxt train lavs Galah Station at :0 pm, what tim os it arriv at Swan Station? Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

89 UNIT 9 UNIT 0 Tim zons () Tim zons () Writ in -hour tim: a : pm 9:0 am : pm S START UPS pag S START UPS pag b : pm :9 am :9 am Eastrn Stanar Tim (EST) Noon Grnwih Sunay 00 Monay WA NT SA Ql Vi. NSW Tas. Cntral Stanar Tim (CST) hour bhin EST Wstrn Stanar Tim (WST) hours bhin EST Complt th tabl to show th tim in ah tim zon: a 0 WST CST EST b Whn it is : am in Mlbourn, giv th tim in: a Hobart b Brisban Alai Darwin Prth Syny I it is 0:0 am in Syny, show th tim on ah o th ollowing loks or aylight savings: a Darwin b Mlbourn Hobart Alai Prth Brisban Writ 0: pm in -hour tim. Complt th tabl: WST CST EST 90 Giv th tim in Alai i it is :0 pm in Mlbourn Wst I it is noon at Grnwih, what is th tim at th ollowing longitus? a 0 wst b 0 ast 0 ast 90 wst 0 wst 90 ast I it is :00 pm at Grnwih, what is th tim at th ollowing longitus? a 0 ast b 90 wst 0 wst 0 wst 0 ast 90 ast I it is minight in Hobart (0 E), giv th tim at: a China 00 E b Syria 0 E Grnlan 0 W Alaska 0 W Ilan 0 W Polan 0 E Fin th tim at Grnwih i it is noon at: a Cha 0 E b Cuba 0 W Argntina 0 W Inonsia 0 E Inia 0 E Ethiopia 0 E East I it is noon at Grnwih, what is th tim at 0 wst? I it is :00 pm at Grnwih, what is th tim at 0 ast? I it is minight in Hobart (0 E), what tim is it at Mauritius 0 E? Show th tim in Alai i 0 9 it is :0 am in Syny uring aylight savings: 9 I Craig s light lavs Prth at : pm, what tim os it arriv in Mlbourn (non-aylight savings tim) i th light taks hours? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Fin th tim at Grnwih i it is noon at Mongolia 00 E. 9 Using an atlas, in th ountris that hav th sam tim zon as Grnwih.

90 UNIT UNIT Travlling sp Giv ah o th ollowing as an avrag sp. a 00 km in hours b 0 km in 0 minuts 00 km in hours 0 km in hours 00 m in 0 sons 00 km in minuts Giv th istan travll in: a hours at 0 km/h. b hours at 0 km/h. 0 minuts at 00 m/min. 0 minuts at m/min. 0 sons at 0 m/s. hours at 0 km/h. S START UPS pag S START UPS pag Lngth in millimtrs an ntimtrs Us imal orm to writ ah o th ollowing as ntimtrs: a 9 mm b mm 9 mm mm mm mm Writ ah o th ollowing in millimtrs: a. m b.9 m. m. m 0. m. m Orr ah o th ollowing rom shortst to longst: a 9 m, 00 mm, m, 9. m b mm,. m, m, mm Giv th tim takn to travl: a kilomtrs at km/h. b 00 mtrs at m/s. 0 kilomtrs at 00 km/h. 0 mtrs at m/s. 900 mtrs at 0 m/min. kilomtrs at 0 km/h. Complt th ollowing tabl: Distan Tim Av. sp a 0 m s b 00 m 0 m/s 0 s 0 m/s km 0 min. 00 km 0 km/h h 0 km/h What is th avrag sp o 0 kilomtrs in hours? mm,. m, m, mm 00 mm, m, 0. m,. m. m, 9 mm, m, 9. mm 0. m, 90 mm, m,. m Fin th total lngth o ah o th ollowing: a m an 0 mm b 0. m an m 0 mm an 0 m 90 m an 000 mm an 9. m 0 mm an. m an 0 m. m an 0 mm an 00 mm Us imal orm to writ mm as ntimtrs. What istan is travll in 90 sons at m/s? How long will it tak to travl kilomtrs at km/h? Complt th tabl: Distan Tim Av. sp. h 00 m/h 9 A bus lavs at : am an arrivs at its stination at : pm, km away. What was th avrag sp o th bus? Writ. m in millimtrs. Orr rom shortst to longst:. m, 0 m, 00 mm, 0. m Fin th total lngth o m an 0 mm an 900 mm. 9 How wi is th living ara i tils wr n to go aross th room an ah til was 00 mm wi? Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

91 UNIT UNIT Lngth in mtrs Lngth in kilomtrs () Slt th most suitabl unit o masurmnt (mm, m, m or km) or ah o th ollowing: a th istan rom your hom to shool b th lngth o a pnil th with o a hair th lngth o a lassroom th hight o a rink bottl th istan btwn Canbrra an Syny Us imal orm to writ ah o th ollowing in mtrs: a m m b m m m 9 m m m m How many ntimtrs ar thr in: a m? b m? m?.9 m?. m?. m? I a pool is 0 m long, iniat how many laps o th pool will b swum in ah o th ollowing: a 00 m rstyl b 00 m braststrok 00 m bakstrok X 00 m rlay 00 m buttrly 00 m rstyl Slt th most suitabl unit o masurmnt (mm, m, m or km) or masuring th thiknss o a pi o papr. S START UPS pag S START UPS pag Writ th numbr o mtrs in: a km b 9 km km 0 km km km Convrt th ollowing to kilomtrs: a 000 m b 000 m 000 m 000 m 000 m m Ror ah o th ollowing in kilomtrs using imal notation: a m = b m = 90 m = m = m = m = Slt th most suitabl unit o masurmnt (mm, m, m or km) to masur: a th lngth o a basktball ourt b th istan btwn Brisban an Mlbourn th thiknss o a toothpik th lngth o a DVD box th with o Nw South Wals th istan aroun a sports groun How many mtrs ar thr in km? Us imal orm to writ 9 m in mtrs. How many kilomtrs ar thr in 000 m? Ror m in kilomtrs using imal notation. How many ntimtrs ar thr in. m? I a pool is m long, how many laps o th pool will b swum or th 00 m braststrok? 9 List objts that you an in that ar approximatly mtr long. Slt th most suitabl unit o masurmnt (mm, m, m or km) to masur th lngth o th Syny Harbour Brig. 9 I a bus travll at km/h or hours, i it omplt its journy rom Wagga Wagga to Milura? Th journy is approximatly 00 km. Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

92 UNIT UNIT Lngth in kilomtrs () Convrting lngths () Slt th most suitabl unit o masurmnt (m, m or km) to masur: a th with o Bass Strait b th with o a roa th with o your book th hight o a basktball ring th with o a omputr srn th istan btwn Syny an Lonon Complt: mtrs kilomtrs a 0 b 9 9 Complt: kilomtrs mtrs a. b Us th tabl to in th istan btwn: Distans in kilomtrs Alai Ali Springs Alai Ali Springs Brisban Cairns Canbrra Darwin 0 9 a Alai an Cairns b Brisban an Cairns Ali Springs an Darwin Alai an Canbrra Canbrra an Cairns Alai an Darwin Slt th most suitabl unit o masurmnt (m, m or km) to masur th istan btwn th Earth an th moon. Complt: mtrs kilomtrs 0 Brisban Complt: kilomtrs mtrs.0 Us th tabl in qustion to in th istan btwn Brisban an Darwin. 9 Btwn whih two loations in th tabl o qustion o you travl km? S START UPS pag S START UPS pag Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Cairns Canbrra Darwin Us imal orm to writ ah o th ollowing as ntimtrs: a mm b 9 mm mm 0 mm mm mm Us imal orm to writ ah o th ollowing as mtrs: a m b m 9 m m 9 m 00 m Complt: mtrs kilomtrs a b Complt ah o th ollowing: a m = m b. m = mm 0 m = m 90 m = km. km = m m = mm Us imal orm to writ mm as ntimtrs. Us imal orm to writ m as mtrs. Complt: mtrs kilomtrs Complt:. m = m 9 I th running trak is 00 m long an Lah runs laps ah ay, how ar os sh run in total in: a mtrs? b kilomtrs? Answrs on pag

93 UNIT UNIT Convrting lngths () Primtr () Us imal orm to writ ah o th ollowing in ntimtrs: a 9 mm b mm mm 9 mm mm 0 mm Us imal orm to writ ah o th ollowing in mtrs: a m b m m m 90 m m Writ ah o th ollowing in mtrs: a. km b. km. km. km.0 km 9.0 km Complt th tabl: mm m m a 0. b Us imal orm to writ 9 mm in ntimtrs. Us imal orm to writ 9 m in mtrs. S START UPS pag S START UPS pag Fin th primtr o ah o th ollowing shaps: a b m m m m m m 9 m m m m m m m Fin th primtr o ah o th ollowing shaps: a m b m m m m Complt th ollowing tabl or th rtangls: m m Lngth Brath Primtr a m m b m m m m 0. m m. m. m 0 m 9 m Calulat th primtr o ah o th ollowing shaps: a an quilatral triangl with sis o m b a squar with sis o 0 m a rgular hxagon with sis o m a rgular otagon with sis o 9 m an quilatral triangl with sis o m a squar with sis o m. m Fin th primtr: m Writ.0 km in mtrs. Fin th primtr: m Complt th tabl: mm m m. 9 Calulat your hight in mm, m an m. Complt: Lngth Brath Primtr m m Calulat th primtr o a rgular agon with sis o m. 9 On whih polygons an w us shortuts to in th Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

94 UNIT 9 UNIT 0 S START UPS pag S START UPS pag Primtr () Ara in m primtr? Cirl th orrt primtr or ah o th ollowing rtangls: Lngth Brath Primtr a m m m m m b 9 m m m m m m 9 m 0 m m 99 m m. m m. m 9 m km km 0 km km 0 km 0 km km 0 km 0 km 00 km Complt th tabl: Shap Si lngth Primtr a squar. m b quilatral triangl 9 m rgular pntagon m rgular hxagon m rgular otagon m rgular agon m Fin th primtr o ah o th ollowing: a m m b m m m 9 m m 9 m m m 0 m m m m m m m km m km Fin th si lngths o ah o th ollowing squars with primtrs: a 0 m b m km 00 mm m 9 m Cirl th orrt primtr or th rtangl: Lngth Brath Primtr 9 m m m 0 m m m 9 km m km km Complt th tabl: Lngth (m) Brath (m) Ara (m ) a b 9 Calulat th ara o ah o th ollowing shaps: m a m b m m 9 m m m m Complt th ollowing: Lngth (m) Brath (m) Ara (m ) a b 9 Calulat th ara o ah squar with th ollowing si lngths: a m b 9 m m m m m Complt th tabl: Lngth (m) Brath (m) Ara (m ) 9 m m m m m m Complt th tabl: Shap Si lngth Primtr rgular hptagon m Fin th primtr o: m m m Fin th si lngth o a squar with a primtr o m. 9 Draw irnt xampls o isosls triangls with a primtr o 0 m. m Calulat th ara o: m Complt th ollowing: m Lngth (m) Brath (m) Ara (m ) 9 Calulat th ara o a squar with si lngth 0 m. 9 Fin th ara o: m m m m m m Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

95 UNIT UNIT Ara in m Ara o a triangl () Cirl th orrt ara or ah o th ollowing rtangls: Lngth (m) Brath (m) Ara (m ) a 0 0 b Calulat th ara o ah o th ollowing: m m a b m m m m Complt th ollowing tabl: m S START UPS pag S START UPS pag Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9m 9 m m Lngth (m) Brath (m) Ara (m ) a b Fin th ara o ah o th ollowing: m m a b m m m m m m m m m m m m 9 m m Cirl th orrt ara or th rtangl: Lngth (m) Brath (m) Ara (m ) Calulat th ara: m Complt Lngth (m) Brath (m) Ara (m ) th tabl: m m Fin th ara: m 9 Fin th si lngths o a rtangl that has an ara o m. m m m m m m 9 m m m m m m Complt th ollowing tabl: Ara rtangl (m ) Ara triangl (m ) m a m m b m m m 0 m 9 m 0 m 9 m m m Complt th ollowing tabl: Lngth (m) Brath (m) Ara rtangl (m ) Ara triangl (m ) a b 9 0 Fin th ara o ah triangl: a b m m m m m 0 m 0 m Complt th ollowing tabl: b (m) b (m) h (m ) A (m ) a b Complt th tabl: Ara rtangl (m ) Ara triangl (m ) m m Complt th tabl: Bas (m) Hight (m) Ara rtangl (m ) Ara triangl (m ) Fin th ara: m m m 9 m m m Complt th tabl: b (m) b (m) h (m ) A (m ) 9 Exprss th ormula or th ara o th triangl in wors: m 9

96 UNIT UNIT Ara o a triangl () Complt th ollowing tabl: a b m m 9 m m m m m 0 m m m m Ara triangl (m ) Fin th ara o ah o th sha triangls: a m b m m 9 m m m 0 m Fin th ara o ah o th ollowing triangls: m a b m m 9 m m S START UPS pag S START UPS pag m m m m m Htars Cirl th plas with aras whih oul b masur in htars: a a bakyar b a suburb a small garn a loal park a ootball staium a lassroom Us th short orm to writ: a 9 htars b htars htars htars 9 htars. htars Convrt ah o th ollowing to htars (ha): a m b m m m m m m m m m 0 m Fin th ara o ah o th ollowing triangls with: a b = m an h = 9 m b b = m an h = m b = 0 m an h = 0 m b = m an h = m b = m an h = m b = 0 m an h = m Complt th tabl: Ara triangl (m ) m m Fin th ara o th sha triangl: Fin th ara: m 9 m m m Convrt ah o th ollowing to squar mtrs (m ): a ha b ha ha ha ha 9 ha Cirl th plas with aras whih woul b masur in htars: a tnnis ourt a bah a arm Us th short orm to writ. htars. Convrt m to htars. Convrt htars to squar mtrs (m ). Fin th ara o a triangl with b = 0 m an h = 9 m. 9 Fin th ara o th trapzium: m m m m 9 Estimat how many o ah o th ollowing will it into a htar an irl your stimat: a a tnnis ourt 0 0 b a suburban hous blok 0 0 a broom Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

97 UNIT UNIT Squar kilomtrs () Squar kilomtrs () Cirl th plas with aras whih ar masur in squar kilomtrs: a a warhous a stat S START UPS pag S START UPS pag b a ountry a sports oval a broom a national park Convrt ah o th ollowing to htars (ha): a km b km km 0 km km km Convrt ah o th ollowing to squar kilomtrs (km ): a 00 ha b 00 ha 00 ha 00 ha 00 ha 00 ha Fin th irn in ara btwn ah o th ollowing ountris: Country Ara (km ) Country Ara (km ) Dirn a Gr Npal b Italy 0 09 Polan 00 Iraq 0 Egypt Japan 0 0 Thailan 9 0 Iran 0 Inia 0 Mxio 9 0 Argntina 9 09 Cirl th plas with aras whih ar masur in squar kilomtrs: a a gol ours b a national park a tabl Convrt 9 km to htars (ha). Convrt 000 ha to squar kilomtrs (km ). Writ th most suitabl unit o masurmnt (m, ha or km ) or th ara o: a Amria b a swimming pool a rug a shopping ntr a gol ours an outbak station Complt th tabl: m ha a b Complt th tabl: ha km a 00 b Complt with < or > to mak th numbr statmnt tru: a 000 ha km b m ha m 9. km. km 000 ha km ha. km m Writ th most suitabl unit o masurmnt (m, ha or km ) or th ara o NSW. Fin th irn in ara btwn: Country Ara (km ) Country Ara (km ) Dirn Australia 00 Canaa Complt th masurmnt ats: 00 mm = m m = m m = ha 00 ha = km Complt th tabl: m ha 000 Complt th tabl: ha km Complt with < or > to mak th numbr statmnt tru: m 900 ha 9 What is th total ara o Fran (0 km ), Italy (0 09 km ) an Grmany ( 0 km )? Answrs on pags Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

98 UNIT UNIT Mass in grams an kilograms How many grams ar thr in ah o th ollowing? a 0. kg b 0. kg 0. kg 0. kg 0. kg 0. kg Us imal notation to writ ah o th ollowing: a kg 0 g b kg 00 g kg 0 g kg g 9 kg g 0 kg 9 g How many grams ar thr in ah o th ollowing? a. kg b.09 kg. kg. kg 9. kg. kg Complt th ollowing tabl: S START UPS pag S START UPS pag Mass in tonns Slt th most suitabl unit o mass (g, kg or tonns) or masuring ah o th ollowing: a a og b a train a man a box o maths a boat a pn How many kilograms ar thr in ah o th ollowing? a t b 9 t t t t 0 t How many tonns ar thr in ah o th ollowing? a 000 kg b 000 kg 000 kg kg kg 000 kg grams kilograms a.0 b How many grams ar thr in 0. kg? Us imal notation to writ kg g. How many grams ar thr in.09 kg? Complt th tabl: grams kilograms.0 9 A jar o nuts has a mass o kg. I th jar s mass is 0 g, what is th mass o th nuts? How many kilograms ar thr in ah o th ollowing? a. t b. t. t. t 9. t.0 t Slt th most suitabl unit o mass (g, kg or tonns) or masuring a truk. How many kilograms ar thr in t? How many tonns ar thr in 000 kg? How many kilograms ar thr in.0 t? 9 Whn ully loa, th mass o a livry truk is t 90 kg. Atr th irst livry, th mass o th truk is t 0 kg. What was th mass o th irst livry? 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

99 UNIT 9 UNIT 0 S START UPS pag S START UPS pag Mass in tonns an kilograms Capaity in millilitrs an litrs () Math th most suitabl masuring vi with th itm to b wigh. a stanar balan sals som sugar b bathroom sals a truk kithn sals a bag o appls wighbrig a suitas spring balan a boy airport sals a small pi o gol How many kilograms ar thr in ah o th ollowing? a t b t. t. t. t. t How many tonns ar thr in ah o th ollowing? a 9000 kg b 000 kg 0 00 kg 0 kg 0 kg 00 kg Complt th ollowing tabl: kilograms tonns a 0 b Fin th ubi ntimtrs (m ) in: a 0 ml b 90 ml ml 0 ml 0 ml ml Fin th millilitrs (ml) in: a 0 m b m 0 m 0 m 90 m 90 m Fin th ubi ntimtrs (m ) in: a L b L 9 L L L L Fin th litrs (L) in: a 000 m b 000 m 000 m 000 m 000 m 000 m Cirl th most suitabl masuring vi or wighing a aravan: wighbrig isplamnt tank stanar balan sals How many kilograms ar thr in t? How many tonns ar thr in 9 0 kg? Complt th tabl: kilograms tonns Fin th ubi ntimtrs (m ) in 0 ml. Fin th millilitrs (ml) in 0 m. Fin th ubi ntimtrs (m ) in L. Fin th litrs (L) in m. 9 What volum o watr woul hav a mass o kg? 9 On an xursion, stunts ah rank ml o jui. What was th total amount o jui runk? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

100 UNIT UNIT Capaity in millilitrs an litrs () Us imal notation to writ ah o th ollowing as litrs: a 9 ml b ml ml ml 0 ml 00 ml How many millilitrs ar thr in ah o th ollowing? a 0.9 L b 0.9 L 0. L 0.0 L 0.09 L 0.0 L How many millilitrs ar thr in ah o th ollowing? a. L b 9. L. L.0 L. L.00 L How many litrs ar thr in ah o th ollowing? a L ml b 9 L ml L 0 ml 90 ml ml ml S START UPS pag S START UPS pag Kilograms an litrs What is th quivalnt mass (kg) or ah o th ollowing quantitis o watr? a L b L L L 9 L L Convrt th ollowing masss o watr to apaity: a kg b kg 0 kg kg kg kg Convrt th ollowing apaitis o watr to mass: a 00 ml b 0 ml ml 0 ml 9 ml 0 ml Convrt ths masss o watr to apaity: a g b g 0 g 0 g 0 g 90 g What is th quivalnt mass (kg) or L o watr? Us imal notation to writ 0 ml as litrs. What apaity o watr (L) woul hav a mass o kg? How many millilitrs ar thr in 0. L? How many millilitrs ar thr in. L? How many litrs ar thr in 0 ml? 9 Complt th tabl or watr: Capaity Volum Mass ml 0 m 00 g What is th quivalnt mass (g) or 0 ml o watr? What apaity o watr (ml) woul hav a mass o g? 9 Complt th tabl or watr: Capaity Volum Mass ml 00 g 000 m 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

101 UNIT UNIT Cubi ntimtrs an litrs Cubi ntimtrs What ar th apaitis (ml) that th ollowing ontainrs an hol? a 0 m b 0 m m 00 m 0 m m How many ubi ntimtrs (m ) ar thr in ah o th ollowing? a ml b 0 ml ml 0 ml 0 ml 9 ml Convrt th ollowing into litrs: a 000 m b 9000 m 000 m 000 m 000 m 000 m How many ubi ntimtrs (m ) ar thr in ah o th ollowing? a L b L L 0 L L L What is th apaity (ml) o a ontainr that an hol 00 m? How many ubi ntimtrs (m ) ar in 0 ml? S START UPS pag S START UPS pag Complt th tabl: Lngth (m) m a m m b m m m m m m m m m m m m m m m Brath (m) Hight (m) Calulat th volum o ah o th ollowing prisms: a b m m m m m m m m m m 0 m m m m 9 m Volum (m ) m Complt: Lngth (m) Brath (m) Hight (m) Volum (m ) a b How many millilitrs o watr woul b ispla by ntiub mols o th ollowing volums? a 9 m b 00 m m 000 m 90 m 00 m Complt th tabl: Lngth (m) Brath (m) Hight (m) Volum (m ) 0 m m What is th apaity (L) o a ontainr that an hol 000 m? m m m Calulat th volum o th prism: m m m How many ubi ntimtrs (m ) ar thr in L? 9 Thr bottls ah hol 0 ml o watr. I all this watr was pour into a ontainr with a apaity o L, what volum (m ) rmain unill? Complt th tabl: Answrs on pags 9 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Lngth (m) Brath (m) Hight (m) How many millilitrs o watr woul b ispla by ntiub mols o m 9 Skth a prism that has a volum o 0 m. Volum (m ) 9

102 UNIT UNIT Cubi mtrs Volum () Us th abbrviat orm to writ: a 9 ubi mtrs b ubi mtrs ubi mtrs ubi mtrs ubi mtrs ubi mtrs About Mor than Tik th olumn whih givs th orrt volum: Itm Lss than m m m a swimming pool b lunh box ruit rat tlphon box CD as garbag bin Slt th most suitabl unit o volum (m or m ) or ah o th ollowing: a a mathbox: 0 b a bathroom: 0 a tool box: 00 a watr tank: 000 a trailr: a ral box: 00 Fin th volum o ah o th ollowing: a m b m m m m S START UPS pag S START UPS pag m m m 0 m m m m m m m m 9 m m Slt th most suitabl unit (m or m ) to in th volum o: a a sho box b a brias a garag a shipping ontainr a shool hall an i-ram ontainr What is th volum o ah o th ollowing? a b 0 Writ ah o th volums rom qustion in asning orr: a b Calulat th volum o ah o th ollowing prisms: Lngth (m) Brath (m) Hight (m) a b Volum (m ) Slt th most suitabl unit (m or m ) or ining th volum o a milk rat. Us th abbrviat orm to writ ubi mtrs. Tik th olumn whih givs th orrt volum: Itm train arriag Lss than About Mor than m m m Slt th most suitabl unit o volum (m or m ) or a pnil as: 00 Fin th volum o: m m m 9 How many boxs 0 m 0 m 0 m woul it insi ubi mtr? Fin th volum o: 0 Writ th ollowing volums in asning orr: m, m, 0 m, m Calulat th volum o th prism: Lngth (m) Brath (m) Hight (m) Volum (m ) 9 Fin irnt prisms that giv a volum o m an omplt th tabl: Volum (m ) Lngth (m) Brath (m) Hight (m) 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 9

103 UNIT UNIT Volum () Arrangmnts () Orr th ollowing itms rom smallst volum (a) to gratst volum (): an appl, a basktball, a gol ball, a marbl, a tnnis ball an a watrmlon: a b Fin th volum o ah o th ollowing ubs: a b Fin th volum o ah o th ollowing shaps: a b S START UPS pag S START UPS pag Us th sal 0 to to rat th han o ah o th ollowing vnts happning: impossibl unlikly qual han likly a I will hav a birthay nxt yar. b I will ly to th moon nxt wk. My irst toss o a oin will b a ha. My irst roll o a i will b a. Th sun will ris tomorrow. Australia will win th nxt gam o rikt thy play. Ar th ollowing orrt arrangmnts o? a b rtain Us th sal 0 to to rat th han o ah spinnr laning on r (R): a Y R b B R R G Y G G R B B R B R B R B B B B G Y Y Fin th volum o ah o th ollowing prisms (masurmnts in m): a b 0 9 B B B B G G G Y Y Y B G R B R R B R Y G Y R R B Us th sal 0 to to rat th han o ah o th spinnrs in qustion laning on blu (B): a b Us th sal 0 to to rat th han that I will go to shool on Christmas ay. 0 0 Orr th ollowing itms rom smallst volum (a) to gratst volum (): ral box, sho box, mathbox Fin th volum o th ub: Fin th volum o th irrgular shap: Fin th volum o th prism: 9 Whih o th ollowing prisms has th gratst volum? a b m m m Ar th ollowing orrt arrangmnts o? a b Us th sal 0 to to rat th han o th spinnr laning on r (R). Us th sal 0 to to rat th han o th spinnr laning on blu (B): R R R R R R R R R R R R R R R R 9 List thr vnts that may happn tomorrow. Giv thm a rating o 0 to or th han o ah vnt. Answrs on pag 9 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

104 UNIT 9 UNIT 0 Arrangmnts () What is th han that: a I will wath tlvision toay? b it will snow tomorrow? th nxt prson to ntr th room will b mal? I will hav a hairut this month? I will hav a sanwih or lunh nxt wk? I will b prim ministr whn I grow up? Thr ar 0 olour balls in a box. Stat th liklihoo o rawing ah olour ball as a ration: a r (R) b blu (B) R B Y W R yllow (Y) pink (P) G B P G O whit (W) orang (O) A B C D E F R W O G Y B O Whih o th spinnrs has th gratst han o laning on: a blu (B)? b whit (W)? r (R)? orang (O)? grn (G)? yllow (Y)? Whih spinnrs in qustion hav mor than a 0% an lss than a 0% han o laning on: a orang (O)? b blu (B)? whit (W)? pink (P)? grn (G)? r (R)? S START UPS pag S START UPS pag G W What is th han that I will b olr than 0 nxt yar? R O P Y B G R Priting Hannah onut a survy o 0 hilrn to in thir avourit rink. Milk Watr Jui Sot rink Corial Othr 9 Us th inormation to prit how many hilrn in ah 00 woul prr: a watr b sot rink orial othr jui milk Using th inormation in qustion, prit how many hilrn in ah 000 woul prr: a jui b orial watr milk sot rink othr Fity hilrn wr survy to in thir avourit olour: r blu yllow grn orang pink blak Us th inormation to prit how many hilrn in ah 00 woul prr: a r b grn pink blu yllow orang Us th inormation in qustion to prit how many hilrn in ah 000 woul prr: a yllow b grn orang blu blak pink Us th inormation in qustion to prit how many hilrn in ah 00 woul prr milk or watr. Us th inormation in qustion to prit how many hilrn in ah 000 woul prr sot rink or orial. Stat th liklihoo o slting a purpl ball as a ration o th box in qustion. Whih o th spinnrs in qustion has th gratst han o laning on pink (P)? Whih o th spinnrs in qustion hav mor than a 0% an lss than a 0% han o laning on yllow (Y)? 9 What ar all th irnt ombinations o rolling i? Us th inormation in qustion to prit how many hilrn in ah 00 woul prr th olour blak. Us th inormation in qustion to prit how many hilrn in ah 000 woul prr th olour r. 9 Draw a tr iagram or th possibilitis o spinning th spinnr tims. R Y B 9 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 9

105 UNIT UNIT Tabls an graphs Bar graphs (ivi) Mrs Jons survy hr lass to in thir main us o th omputr. Thir us was mail (E), intrnt (I), gams (G) an homwork (H). Hr is th ata or th lass: E, I, G, I, E, H, I, G, I, E, I, I, H, G, H, E, G, G, E, I, I, H, G, G, E, I, H, H, E, I, G, G, E, G. Crat a tally tabl rom th inormation. Computr us Tally mail a b homwork How many hilrn us th omputr or: a mail? b homwork? gams? intrnt? mail or intrnt? gams or homwork? Us th tally tabl in qustion to omplt th graph an giv a an b suitabl titls: b 0 mail intrnt gams h work From th graph, whih omputr us ha: a hilrn or mor? b hilrn? th most hilrn? th last hilrn? lss than hilrn? btwn an 9 hilrn? What was th total numbr o hilrn in th lass? S START UPS pag S START UPS pag a On th tabl wr 00 ountrs. Jo rw a bar 0 mm long, so ah 0. mm stoo or on ountr. blu grn yllow r Masuring in millimtrs, how long is th graph showing: a grn ountrs? b r ountrs? yllow ountrs? blu ountrs? r or yllow ountrs? blu or grn ountrs? Masuring in millimtrs, what ration o th graph shows: a yllow ountrs? b r ountrs? blu ountrs? grn ountrs? whit ountrs? grn or yllow ountrs? O th total numbr o ountrs, how many wr: a blu? b r? grn? yllow? blu or grn? grn or yllow? Masuring in ntimtrs, what ration o th graph shows: a yllow ountrs? b grn ountrs? blu ountrs? r ountrs? blu or grn ountrs? yllow or r ountrs? Masuring in millimtrs, how long is th graph showing grn, yllow or r ountrs? Masuring in millimtrs, what ration o th graph shows blu or grn ountrs? How many hilrn us th omputr or ativitis othr than homwork? What is a possibl titl or th graph in qustion? From th graph, whih omputr us has lss than hilrn? 9 Survy your lass about omputr us an rat a tally tabl an graph. O th total numbr o ountrs, how many wr grn, yllow or r? Masuring in ntimtrs, what ration o th graph shows grn or yllow ountrs? 9 In a lass o 0 stunts, hr ar thir hair olours: brown blon blak r Construt a ivi bar graph or th hair olour o th stunts. Eah spa rprsnts two stunts. Answrs on pag 0 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 99

106 UNIT UNIT Pi harts For a shool o 00 stunts, this is th brakown o stunts wintr sports. Complt th tabl using th inormation rom th pi graph: Sport Fration % No. ootball a. aning. b inoor sor 0 ntball S START UPS pag S START UPS pag aning ootball C airns A lai B risban inoor sor ntball For a shool o 00 stunts, this is a brakown o th stunts summr sports. Complt th tabl: Sport Fration % No. a rikt b ntball rikt athltis suring ntball swimming sotball Using th inormation rom qustions an : a What is th avourit wintr sport? b What is th avourit summr sport? How many stunts play ntball in both wintr an summr? Do mor stunts o aning or sotball? What is th total numbr o stunts oing watr sports? What is th total numbr o stunts playing ball sports in wintr? Th pi hart rprsnts th ity o origin o 00 popl arriving at a Syny Train Station. Eah stion rprsnts 0 popl. How many popl om rom: a Mlbourn? b Brisban? Prth Alai? Cairns? Mlbourn Prth? Alai or Prth? What is th ration o stunts playing ntball an ootball in qustion? What prntag o stunts play ntball in qustion? What was th total numbr o stunts playing ball sports in summr an wintr in qustions an? Using th inormation rom qustion, how many popl arriv rom Cairns or Brisban? 9 Construt a pi hart using th inormation: Prrr i-ram lavour No. hoolat 0 vanilla strawbrry 0 araml 0 othr Dgrs sotball athltis swimming suring Man, mian an graphs Fin th man o ah st o masurmnts: a 0 ml, 0 ml, 0 ml, 0 ml b 9 m, m, m, m, m mm, 0 mm, 9 mm C, C, 9 C, C, C g, g, g, g, g, g 0 kg, 0 kg, kg, 9 kg What ar th mans (orrt to on imal pla) o th ollowing sors? a 0, 0,, 0, 9, b,, 90, 0,, 0, 00,, 90, 9, 9 990, 9, 9, 909, 9, 9, 90 0, 90,, 9,,, 00, 900, 0, 0 0, 0 0, 0 Complt th tabl an alulat th man maximum tmpratur or th town in th st wk o April. Dat / / / / / / Tmp. ( C) a b Tmp. C / / / / / / Dat What is th mian o: a,,,, 0? b,,,, 9,,? 0, 0, 0, 90, 0?.,.,.,.,.,.? 0, 90, 0, 0, 0? 0, 0, 90, 0? Fin th man o $, $, $0, $ an $. Fin th man (orrt to on imal pla) o 0, 0, 0, 0, 0 an 900 I th tmpratur on th 9/ is C, what is th nw man or th wk o th town in qustion? What is th mian o,, 9 an 00? 9 Th avrag o a st o sors is. Non o th sors is an thr ar sors. What might ths sors b? 00 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag 0

107 UNIT UNIT Bar graphs an pi harts Lin graphs Watr, oil an trgnt wr us to ill a 000 ml ontainr. In th ontainr, what is th volum o: a oil? b trgnt? trgnt watr? 00 ml oil What ration o th 00 ml ontainr has: watr watr? oil? trgnt? O a survy o 0 popl, hr is a graph o thir avourit shap. What ration o popl hos: a triangl? b irl? triangl squar? rtangl? irl othr? squar or rtangl? O th rsults in qustion, how many popl hos: a irl? b rtangl? squar? triangl? othr? irl or squar? S START UPS pag S START UPS pag othr squar rtangl ogs ats birs ish O 00 popl survy, this is th brakown o th most popular typs o pts. How many popl prrr: a ats? b ogs? birs? ish? ogs or ats? birs or ish? What ration o th ontainr in qustion has oil or trgnt? What ration o popl in qustion hos irls or triangls? How many popl in qustion hos rtangls or irls? How many popl prrr ats, ish or birs in qustion? 9 Draw th ontainr o qustion as a ivi bar graph. Yuko travls 900 km to work tims a yar. Fin th tim it taks to travl: a 900 km b 00 km km km km km Fin how ar Yuko travls in th irst: a hour b hours 9 hours hours hours hours Distan (km) 9 0 Tim (hours) Hr is th tmpratur or two ays: Tim Noon pm pm pm pm pm Day tmp. C C C C 9 C C Day tmp. C C 9 C C C C Plot th sts o ata on th sam graph: Whih ay ha: a th gratst tmpratur at pm? b th gratst tmpratur at noon? th gratst tmpratur in th atrnoon? th lowst tmpratur in th atrnoon? th gratst inras in tmpratur in an hour? th gratst ras in tmpratur in an hour? How long is Yuko s brak atr riving 00 km in qustion? What is th largst istan Yuko travls without a brak in qustion? Giv th graph in qustion a titl. What is th irn in tmpratur btwn ay an ay at pm in qustion? 9 A walkr ovrs 00 m vry minut an a joggr ovrs 00 m vry minut. Draw a graph to show th walkr an th joggr s travl ovr th irst 000 m. A n s w r s o n pag 0 Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 0

108 UNIT UNIT Tally marks an graphs Hr is a list o animals sn in a national park in th vning. Using th list, omplt th tally tabl: C, K, R, P, M, R, B, K, M, R, D, C, B, R, K, B, C, P, R, B, K, M, K, M, D, B, R, C, K, R, M, B, R, D, C Crat a bar graph rom th tally tabl: S START UPS pag S START UPS pag Animal Tally Total a rabbit b at kangaroo possum og bir g mous How many o th ollowing animals wr thr? a rabbits an mi b ats an ogs kangaroos, possums an birs Whih animal(s) was/wr sn: mor than tims? lss than tims? tims? Us th graph to in th answr to ah o th ollowing: a = b. = = = =. = Answrs 0 Six tims tabl Numbr multiplying by In qustion, how many wing animals wr ount? What was th total numbr o animals ount in qustion? What was th total numbr o our-lgg animals ount in qustion? What is. using th graph in qustion? 9 Draw a graph or th irst iv o th 9 tims tabl. Raing graphs Ey olour o Yar stunts was not an th ollowing graph prou. How many stunts ha: a brown ys? Ey olour 0 b gry ys? grn ys? What atgory ha: 0 th last numbr o stunts? th most numbr o stunts? btwn an stunts? Th ollowing graph allows us to onvrt btwn Clsius an Fahrnhit tmpraturs. Us th graph to onvrt: Convrsion hart a C to F b 0 C to F F to C 0 0 Whih is th gratr tmp.? C or F 0 C or 0 F F or C Fahrnhit ( F) 0 No. o stunts Blu Gry Grn Brown Clsius ( C) Joran rw a graph to show hr shool ay. a What ativitis took up th most tim? b What ativity took up th last tim? Was mor tim spnt raing or oing art? Whih ativity was losst to raing? Was lss tim spnt in assmbly or maths? Whih stions us o th shool ay? What was th: a maximum tmpratur 0 or Friay? 0 b maximum tmpratur 0 or Wnsay? 0 minimum tmpratur or Tusay? Tmpratur ( C) 0 Tmpratur Art Maths Writing Playtim Raing Assmbly M T W T F Day minimum tmpratur or Thursay? ay that ha th gratst irn btwn maximum an minimum tmpratur? ay that ha th last irn btwn maximum an minimum tmpratur? What was th total numbr o stunts survy in qustion? Whih is th lowst tmpratur 0 C or F using th inormation o qustion? Whih two ativitis in qustion us th last amount o tim? What was th irn btwn th maximum an minimum tmpratur on Tusay in qustion? 9 List on avantag an on isavantag o a pi hart. Max Min 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

109 UNIT 9 UNIT 0 Collt ata Aition an subtration prati Using th graph o th population o Australia, Population S START UPS pag S START UPS pag million 0 Sour: Australian Dmographi Statistis (0.0); Australian Dmographi Trns (0.0); Oiial Yar Book o th Commonwalth o Australia whn: a i th population rah million? b i th population rah 0 million? i th population rah million? was th population approximatly million? was th population approximatly million? was th population approximatly million? What was th population: a in 90? b in 90? in 990? in 000? irn btwn 900 an 000? irn btwn 900 an 90? Hr is a tabl o totals o irnt inst typs: Complt th tally tabl. Construt a suitabl graph using th qustion : Inst typ Tally Total a buttrly 9 b ant ly la grasshoppr btl Using th graph o qustion, o you think th population is now gratr than or lss than 0 million? Explain. Whn was th gratst population growth in a tn yar prio? What was th total numbr o insts oun in qustion? Whih typ o inst ha mor than oun in qustion? 9 Us oins an ollt 0 pis o inormation. Crat a tally hart an graph your rsults. 0 0 Fin th total o: a b Complt: a 9000 b Complt: a 0 0 b Complt th missing boxs: a b Fin th total o: Complt: 000 Complt: Complt th missing boxs: In on wk, Jams posit into his aount $ an $. H also withrw $9, $99 an $0. Di Jams s aount inras or ras an by how muh? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 0

110 UNIT UNIT Multipliation an ivision prati Complt: a 0 b S START UPS pag S START UPS pag 9 0 Frations prati Complt th quivalnt rations: a b = = 9 0 = = = 00 0 = Fin: a o 0 b o 9 o o Fin: a b 0 ) 0 ) 0 0 ) 0 0 ) 0 ) 0 ) 09 Complt: a 9 = b = = 9 = = 9 = Fin: a b ) 90 9 ) 9 ) ) ) 0 ) 9 Complt: 0 o o 0 Complt: a + 0 = b 9 = 0 + = = + = Complt: 9 = a = b 0 = = = 9 = = Complt th quivalnt ration or: Fin: o 0 Complt: + 9 = Complt: = 9 = 9 Draw a iagram to show groups o an in th answr. Fin: 0 ) Complt: = Fin: ) pakts o boxs o sultanas n to b ivi vnly into rats. How many boxs o sultanas ar in ah rat? 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

111 UNIT S START UPS pag UNIT S START UPS pag Dimals prati Problm solving invrs oprations Complt: a Fin th irn btwn: a an. b 9 an. an. an.9 an 9. an 0.9 Complt: a $. b b $9. Complt th boxs: a + 9 = 0 + b 9 + = = + + = = + + = + Complt th boxs: a 0 = 0 b 90 = 0 = 0 9 = 0 0 = = Solv ah o th ollowing: a + = b = $. $ = = $. $ = 9 = Fin: a. 0 = b =. 000 =. 000 = 9. 0 = = What was th starting numbr i I: a subtrat, multipli by, thn a 9 to giv? b multipli by, a 9, ivi by to gt 0? a, multipli by, ivi by 0 to gt? ivi by, a, multipli by to gt 90? Complt: subtrat, ivi by, subtrat 00 to gt? Fin th irn btwn: an. multipli by, a 0, ivi by 0 to gt 0? Complt: $. Fin:.0 00 = 9 Jorg has our hunr an thirty-iv 0 nt oins an ninty-two $ oins. How muh mony os Jorg hav? Answrs on pag Units Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Complt th box: 9 + = + 9 Complt th box: 00 = 00 Solv: + = 9 What was th starting numbr i I halv it, subtrat an multipli by to giv. 9 balls wr pla in a pyrami. On ball was at th top. How many balls wr on th bottom? 0

112 UNIT UNIT Problm solving mony Rntly I bought som plants or my vgtabl garn. I bought strawbrry plants or $., a tomato plant or $., a pakt o 0 arrot ss or $.0, a box o lttus or $. an a small lmon tr or $0.. a Whih singl plant ost th most? b Whih singl plant ost th last? How muh was ah strawbrry plant? How muh was ah lttu plant? What was th total ost o th lmon tr an tomato plant? I only arrots grw, how muh i ah on ost? Dorn is pai $. an hour. I sh works or hours, irl th orrt pay: a $.9 b $.0 $. $.00 $. $. Calulat th ollowing: a $. = b $.0 = $. + $. = $0.00 $. = $00 $. = $0. + $. + $.0 = Fin th missing amount: a $. + $.0 + = $0.00 b $. + $. + = $00.00 $0. = $.9 + $. + $. = $. + $. + $.0 = $00.00 $. = $0. What was th total ost o all o th itms in qustion? Tru or als? Dorn is pai mor than $.00 in qustion. Calulat th ollowing totals: a $.9 + $. + $. = b $0. $.9 = ($. ) + $0. = Fin th missing amount: $9. = $. + $. + 9 Writ a wor qustion that has th answr $.. S START UPS pag S START UPS pag Problm solving Withs hats ar pla in a straight lin on mtr apart. Fin how many withs hats ar us i th lin xtns: a 0 m b m m m 9 m m I hav olour pnils that vary in lngth rom. m to. m. Cirl th amount whih oul b th total o thir lngths: a 9. m b.9 m.9 m. m. m 0. m Hr is th brakown o popl s avourit ruit snak. a How many popl slt pars? b How many popl slt appls? How many popl slt bananas? Appls Pinappls Pars How many popl slt orangs? Whih was th most popular ruit snak? Whih ruit snak or snaks ha a popularity o popl? IIIII IIIIIIIIII IIIIIIIIIIIIIII IIIIIIIIIIIIIIIIII Orangs IIIIIIIIIIIIIIIIIIIII IIIIIIIIIIIIIIII IIIIIIIII II Pahs ///////////////// ///////////////// ///////////////// //////////////// //////////////// /////////////// Bananas ////////////// ///////////// //////////// ////////// //////// Chilrn link hans to orm a hain. Fin how many hans ar hl i thr ar: a hilrn in th hain b hilrn in th hain hilrn in th hain 9 hilrn in th hain 0 hilrn in th hain hilrn in th hain Withs hats ar pla in a straight lin, on mtr apart. How many withs hats ar us i th lin xtns 0 m? I hav olour pnils that vary in lngth rom 0. m to. m. Cirl th amount whih is th total o thir lngths: 9. m.9 m. m.9 m Objt A has a mass o 0 g an objt B has a mass o 90 g. Objt C has a mass mor than A but lss than B. Whih o th ollowing is th total mass o th thr objts? 0 g g 0 g 0 hilrn link hans to orm a hain. How many hans ar hl? 9 A snail is limbing a wall whih is m high. It limbs up m vry night an slis own m vry night. How long os it tak th snail to rah th top o th wall? / // / 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Answrs on pag

113 UNIT S START UPS pag REVIEW TESTS: Units 9 Unit Numbrs to on million pag 9 Unit Pla valu pag 9 Unit Numbrs gratr than on million pag 0 Unit Numbr pattrns () pag 0 Unit Expaning numbrs pag Unit Positiv an ngativ numbrs pag Th valu o th in is: UNIT Q A ity B million Q Q C 00 thousan D 0 thousan Cirl th largst numbr: A B C D Tru or als? 0 9 > 0 9 Q Q Unit Aition rviw pag Unit Aing to pag Unit 9 Aing larg numbrs pag = A B 00 C 00 D 00 Th bst stimat o + 90 is: A 00 B 00 C 00 D 00 Tru or als? + UNIT Q Q Q Q Tru or als? Thr ar thousans in 9. Q Tru or als? Th missing numbr in th ollowing is 9. Q Writ 0 in wors. Q 9 + Arrang th ollowing in asning orr: Q Q Fin th total o $ 0. an $ 0. 9 Q Writ as a numbr in wors. Q Q Complt: Q What is th numbr rprsnt? Q Complt: + 9 = Q Fin th total o $ an $9. Q HTh TTh Th H T U 9 Writ a rul or th numbr pattrn: 0, 0, 0,, 0 Complt: + = Roun nin hunr an svnty-two thousan, ight hunr an lvn to th narst million. How many tns ar thr in: ? Q Q Q Q Q Q 9 At a Christmas tr arm, thr wr 9, an 9 Christmas trs in ah o thr paoks. What was th total numbr o Christmas trs? 0 Fin th total: Sor = / Sor = / 0 L 9 L Giv th answr to th quation in qustion in wors. L 9 L Complt: Q 9 Q 9 Q Q Q Q Q Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 0

114 REVIEW TESTS: Units 0 Unit 0 Subtration rviw pag Unit Mntal stratgis or subtration pag Unit Rouning numbrs pag Unit Subtration to pag Unit Subtrating larg numbrs pag Unit Estimation pag roun to th narst tn is: A 0 B 900 C 0 D = A B 9 C D Tru or als? Th irn btwn an 9 0 is. Tru or als? roun to th narst thousan is 000. Fin: UNIT Q Q 0 Q Q Q Q Q Unit Multipliation tabls () pag Unit Multipliation tabls () pag Unit Multipliation rviw pag Th prout o an is: A B C 0 D Th total numbr o ays in 9 wks is: A B C D Tru or als? Th missing numbr is in: = Tru or als? = Complt: 0 UNIT Q Q Q Q Q Q Q Complt th missing boxs: 0 Q Complt th boxs: = = Q 9 Fin th irn btwn 9000 an. Fin th irn btwn th two masss: t t 9 Estimat th answr by rouning ah amount to th narst ollar: $.9 $9. Q Q Q Q Q Fin: six multipli by zro. Fin: 0 = 9 Fin th total ost o movi tikts at $ ah plus pakts o poporn at $ ah. 0 Complt: Q Q Q Q Q 0 Complt: 0 What is th irn in ara btwn NSW (00 km ) an Tasmania ( 0 km )? 0 Q Q Q 9 Complt with < or > to mak th numbr statmnt tru: Q Estimat th answr by rouning ah numbr to th narst 000. Thn hk th answr with an aition quation. 9 0 Q Q Q Fin th total numbr o pis o ruit in: baskts with pis in ah boxs with pis in ah bags with pis in ah Q Sor = / Sor = / 0 Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

115 Unit 9 Multipliation o tns, hunrs an thousans () pag Unit 0 Multipliation o tns, hunrs an thousans () pag Unit Multipliation o tns, hunrs an thousans () pag 9 Unit Multipliation pag 9 Th prout o 9 an 00 is: A.9 B 90 C 9 00 D hunrs = hunrs: 9 Q A B C D Tru or als? 0 0 = 0 Tru or als? 0 Complt: 9 REVIEW TESTS: Units 9 UNIT Q 9 Q 0 Q Q Q Unit Multipliation by -igit numbrs pag 0 Unit Extn multipliation () pag 0 Unit Extn multipliation () pag Unit Extn multipliation () pag Unit Extn multipliation () pag Th valu o th missing box in: = (0 ) + ( ) = A B 90 C 0 D 0 Th nxt answr in th pattrn: Q Q 0 = = = = A B C 00 D Tru or als? Q Tru or als? Th prout o an is. UNIT Q Q Q Q Fin th total numbr o 0 groups o 0 stunts. 0 Q 0 Q Complt: = 0 + = Q Q Q Fin th prout o 9 an. Complt: 000 = 9 Dsrib th pattrn in th answrs to: 0 = 0 = 0 = 0 Complt th hart: Fin th prout o: on hunr an ighty an ity Fin th total numbr o plants i thr ar plants in ah o 9 ontainrs. Q 9 Q 0 Q 0 Q Q Q Q Q Fin: 0 Fin th total ost o books at $9 ah: Complt: What is th total ost o tlvisions at $00 ah an DVD playrs at $9 ah? 0 Cirl th largr amount: = 0 Fin th missing numbr: = + 0 = 0 What is th irn btwn ths two numbr sntns? ( ) an ( ) Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 09

116 REVIEW TESTS: Units Unit Multipls, ators an ivisibily pag Unit 9 Multipliation stratgis pag Unit 0 Estimating prouts pag Unit Division prati pag Unit Division rviw pag Unit Division with rmainrs pag Unit Division with rmainrs rations pag Whih o th ollowing numbrs is ivisibl by? A B 0 C D 99 UNIT Q Th missing numbr in = is: A 0 B C D UNIT Q Whih o th ollowing is not a ator o 00? A 0 B C D Q Q Th rmainr o hilrn sharing ars is: A B C D Q Tru or als? is a ator o. Q Q Tru or als? 0 = 0 Q Tru or als? 0 = 0 Fin an stimat by irst rouning to th narst tn: 9 = 9 Q 0 Q Tru or als? = 0 Complt: ) Q Q List th irst multipls o. Q Writ th answr as a mix numbr: Q 9 ) Fin 0 = an thn = Roun th irst numbr to th narst tn an th son numbr to th narst hunr to stimat th answr to: 0 9 Q 0 Q Fin: ) 9 What is th rmainr o: )? Q Q 9 Complt with < or >: 0 By rouning ah numbr to th narst tn, stimat th answr to: orty-on multipli by ightn 9 Q 9 Q 9 Q 0 Q 9 Fin th air shar o 0 pis o ruit btwn hilrn: 0 Complt th tabl: Qustion Quotint Rmainr Q Q Q Is 9 x lss than or gratr than 000? 0 Q Fin, writing th rmainr as a ration: two thousan our hunr an svnty-thr ivi by iv. Q Eah o shops onat an avrag o toys. Estimat how many toys wr onat altogthr. 0 Q Fin: ) Q Sor = / Sor = / 0 Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

117 REVIEW TESTS: Units Unit Division with zros in th answr pag Unit Division with zros in th ivisor pag Unit Division by numbrs with zros pag Unit Division o numbrs largr than 999 pag Unit 9 Extn ivision pag Th numbr o tns in 9 is: A 9 B 9 C 9 D 0 mm writtn as ntimtrs is: A m B. m C 0. m D 00 m Tru or als? 0 0 ) 00 UNIT Q Q Q Unit 0 Avrags () pag Unit Avrags () pag 9 Unit Invrs oprations an hking answrs pag 9 Unit Numbr lins an oprations pag 0 Th orrt invrs quation o * = 0 is: A 0 = * B 0 = * C * = 0 D * = 0 + Th avrag o an 9 is: A B 9 C D Tru or als? A numbr lin or start at 0 an ount bakwar by s is: < < < UNIT Q 0 Q Q Tru or als? 9 0 ) 9 Complt: Q Q 0 Tru or als? A multipliation quation whih hks: = is =. Q ) Draw a numbr lin to in = Q Fin: ) 9 Q 9 Q Writ th answr as a imal: 0 ) 0 Thr wr runs sor uring a roun robin omptition. I thr wr gams, what was th avrag numbr o runs sor pr gam? 9 Fin th missing numbr: r = 0 Fin: sixty-svn thousan ivi by on hunr. Q Q Q Q Q Q 9 Q Q Fin th avrag o $, $, $9, $, $ an $. Writ th rmainr as a imal o: 9 Writ an aition quation to hk: 9 = 9 Writ an quation rom th numbr lin: Q Q Q Q Q Q Q Tru or als? 90 ) 00 > What is? Giv th rmainr as a ration. Q Q 9 Q 9 Q 9 Q 0 Th avrag sp o travlling 0 kilomtrs in hours is. List numbrs whih woul giv an avrag o 0. Fin th answr to an hk with a suitabl quation. 0 Q 0 Q Q Q Q Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

118 REVIEW TESTS: Units Unit Orr o oprations () pag 0 Unit Orr o oprations () pag Unit Orr o oprations () pag Unit Orr o oprations with imals an rations pag 0 is th sam as: A 0 ( ) B 0 ( ) C 0 D 0 ( ) In orr o oprations, th opration omplt irst is: A aition B brakts C subtration D multipliation Tru or als? Working lt to right: 9 = Tru or als? ( ) + = Complt th multipliation an ivision irst: 0 + = UNIT Q Q Q Q Q Q Q Unit Numbr pattrns () pag Unit 9 Numbr pattrns () pag Unit 0 Mix oprations pag Unit Zro in oprations pag Unit Equations pag Unit Binary numbrs pag Unit Oprations with mony pag Th valu o M in: M. =. is: A.0 B 0.0 C. D. 0 writtn as a binary numbr is: A 00 B 000 C 00 D 00 Tru or als? $9. roun to th narst nts is $9.0 Tru or als? (00 ) ( ) = 0 Complt: 000 UNIT Q Q Q Q Q Q 0 Q Q Complt: ( ) ( ) = Q Q Q Fin th valu o D in: 90 = D Q Q Fin: 9 ( 0) ( ) = Q Writ th rul or th numbr pattrn:,,,,, Q 9 Q Fin: ( ) ( 0) = Q Fin th valu o V in: whn I subtrat rom th irn o 00 an my answr is V 0 Q 9 Fin: (9. +.) (.) = 0 A brakts to mak th quation tru: 9 + = 0 Fin: (svn multipli by thr) plus (ity ivi by iv) Q Q Q Q 9 Writ th irst iv trms or th numbr pattrn: start at 00 an multiply by 0 Complt: = Writ th quation an its solution in binary notation: Q Q 9 Q 9 Q Q Q Q Explain ah stp prorm to solv: (. +.) = Q Fin th hang rom $9 i Jan spnt our lots o $9. Q Q Sor = / Sor = / Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

119 REVIEW TESTS: Units Unit Equations with numbrs an wors pag Unit Substituting valus pag Unit Numbr sntns () pag Unit Numbr sntns () pag Unit 9 Numbr sntns () pag Th valu o th lttr W in W W W = is: A B C D UNIT Q Unit 0 Squar an ub numbrs pag Unit Working with numbrs pag 9 Unit Chang o units pag 9 Unit Ngativ numbrs pag 0 Unit Prim an omposit numbrs pag 0 = A 00 B C D UNIT 0 Q Th valu o th missing numbr in: ( ) + = is: A B C D 9 Q hours is th sam as: A 00 minuts C minuts B 0 minuts D 000 minuts Q Q Tru or als? I 0 + = thn = 0 Tru or als?. Δ = 9 thn Δ =. Fin th valu o th missing numbr: 9 = Complt th tabl:.. + Q Q Q 9 Q Q Q Tru or als? 0 9 is th numbr immiatly atr 0 9 Tru or als? is a prim numbr. Pla th st o numbrs in asning orr:,,,, 0,,,, Fin two prim numbrs that a to giv 0. Complt th tr iagram: Q Q Q Q Q Fin th missing numbr: 9 Q Writ a numbr sntn an solv it or: th quotint o a numbr an is Q 9 Q Chang mm to mtrs. 9 Fin: Q Q 0 Q 9 Writ an quation to show i th ollowing is orrt: Albrt ha oins in his olltion, but atr h sol 9 h ha lt. 0 Fin th valu o * in: * + thr quartrs = two Explain th ollowing quation in wors, giving th answr: 9 0 ( ) = I think o a numbr, a, multiply by, squar root th amount, thn subtrat ( + ). Th answr is. What is th starting numbr? Q Q Q Q Q 0 Writ th answr: 0 List all th omposit numbrs btwn 0 an 0. Complt th ollowing to in th pattrn: + = + = + = + = + = + = Q Q 0 Q 0 Q Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

120 REVIEW TESTS: Units Unit Frations pag Unit Fration o a group () pag Unit Fration o a group () pag Unit Equivalnt rations () pag Unit 9 Equivalnt rations () pag Unit 0 Equivalnt rations () pag Unit Impropr rations an mix numbrs pag Th quivalnt ration or is: A B 0 C D ru to its simplst orm is: A 0 0 B 9 C 9 D 0 Tru or als? o th shap has bn sha. Tru or als? Th mix numbr o 0 is. UNIT Q Q Q 9 Q 9 Q 0 Q 0 Q 0 Q Q Q Q Unit Using rations pag Unit Fration aition pag Unit Fration subtration pag Unit Fration aition an subtration pag writtn as a mix numbr is: A 0 B C D writtn as an impropr ration is: A 0 B 0 C D Tru or als? > Tru or als? Th irn btwn 9 0 an is. Complt: + + = UNIT Q Q Q Q Q Q Q What is o: Q Q Q Complt: = Q Q Q Q Fin: = Q Complt with < or > or = to mak th numbr statmnt tru: Writ th impropr ration or Fin: o. 9 Draw a iagram to show 9 o. 0 Q Q Q Q Q Q A on sixth an on quartr. 9 Cirl th simplst orm o 0 0: Draw a numbr lin to show +. Q Q Q Q Q Q 0 Writ quivalnt rations or : Cirl th largst ration: 0 Thr wr ars in a st. Josph ha ollt o thm. How many mor ars i h n or th whol st? 9 Q Q Q Q 9 Q 0 Q 0 Q Q Q Q Complt with < or > or =: Insrt th orrt sign rom +, or to mak th numbr statmnt tru: = Q Q Q Q Q Q Q Q Q Q Q Sor = / Sor = / Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

121 REVIEW TESTS: Units Unit Fration multipliation () pag Unit Fration multipliation () pag Unit Fration multipliation () pag Unit 9 Fration multipliation () pag 9 simplii is: UNIT Q Unit 0 Dimal pla valu thousanths pag Unit Dimal aition pag 9 Unit Dimal subtration pag 9 Unit Dimal multipliation pag 0 Unit Dimal ivision pag 0 Unit Multipliation an ivision o imals () pag Unit Multipliation an ivision o imals () pag A B C D writtn as a mix numbr is: Q Th valu o th in.0 is: A tnths B hunrths C thousanths D units UNIT 0 Q A B C D Tru or als? Th missing numbr in = is. Q 9 Q. 0 is: A B 0. C. D. Tru or als? writtn as a imal is Q 0 Q Tru or als? x is = Fin lots o o a bar o hoolat. Complt: = Q Q Q Q Q Q Q Q Tru or als? = 0.09 Complt: Fin th total lngth o lngths o. m o ribbon: Q Q Q Q Q Q Q Q Complt with < or >: Fin o. 9 What is th prout o an 0? 0 Complt th boxs: = 0 O 0 pnils, wr r, wr blu an th rst wr othr olours. How many pnils wr nithr r nor blu? Q Q Q Q 9 Q Q 9 Q Q 9 Q 9 Q Fin th irn btwn 0.9 an.: What is 9. ivi by? 9 Writ.0 in wors. 0 What is th total ost o books at $.9 an pns at $. ah? Whih is hapr: a pakt o toilt rolls osting $. or a pakt o toilt rolls osting $.9? Q Q Q Q 0 Q Q Q Q Fin: o.00 t Q Q Explain what happns to th imal point whn multiplying by 0, 00 or 000. Q Q Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

122 REVIEW TESTS: Units 9 Unit Frations an imals pag Unit Rouning imals pag Unit 9 Prntags () pag Unit 90 Prntags () pag Unit 9 Prntags () pag Unit 9 Frations, imals an prntags pag Unit 9 Mony in shopping pag Unit 9 Mony in banking pag 9% xprss as a imal is: A 0.09 B.9 C 9 D 0.9. roun to on imal pla is: A. B. C. D Tru or als? = % 00 UNIT 9 Q 9 Q Q 9 Q Tru or als? 9 Q Th smallst numbr o nots an oins n to mak $9. is $, $, $, 0, 0 an. Exprss 0. as a prntag. Fin 0% o 0 hilrn. Fin th total o th ollowing itms an roun to th narst nts. $. $. $.9 $. 9 Q 9 Q 90 Q 90 Q 9 Q 9 Q 9 Q Unit 9 Symmtry pag Unit 9 Rotational symmtry pag Unit 9 Diagonals, paralll an prpniular lins pag Unit 9 Paralll, horizontal an vrtial lins pag A squar has lins o symmtry. UNIT 9 Q A B C D 0 This lin is known as: A horizontal B vrtial C prpniular D paralll Tru or als? Tru or als? Draw th lins o symmtry: has rotational symmtry. has iagonals. A to th shap so it has rotational symmtry: Cirl th numbr whih has paralll lins: Complt th iagram so it is symmtrial: 9 Q 9 Q 9 Q 9 Q 9 Q 9 Q 9 Q 9 Q I A$ = HK$.0 in Hong Kong, what os a A$0 T-shirt ost in Hong Kong? 9 Q 9 Q 9 Draw a quarilatral (-si shap) that has no axis o symmtry: 9 Q 9 Q 9 I an o sot rink osts nts, how muh o ans ost? An what is th hang rom $0.00? 0 Fin th isount pri on a $0 omputr gam with a 0% isount. Complt th tabl: Fration Dimal Draw a iagram to show %. Prntag 9 Q 9 Q 90 Q 9 Q Q Q Q Q 9 Q 9 Q 9 Q Q 9 Q 0 What ar ths lins all? Do th ollowing ontain vrtial lins? a b Mark th axs o symmtry on th ollowing lttrs: M E X W 9 Q 9 Q 9 Q 9 Q Sor = / Sor = / Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

123 REVIEW TESTS: Units 99 0 Unit 99 Angls pag Unit 00 Raing angls () pag Unit 0 Raing angls () pag 9 Unit 0 Drawing angls pag 9 Unit 0 Triangls pag 0 UNIT Th nam o th angl is: 0 Q A rlx C ull rvolution B straight D right Th losst stimat o th angl is: 00 Q 0 Q A 0 B 90 C 0 D 0 Tru or als? 99 Q An xampl o an aut angl is: 00 Q 0 Q Tru or als? 0 Q Th missing angl o th triangl is 0. Masur th angl 99 Q to th narst gr: 00 Q Complt th angl so that it masurs 9. 0 Q 0 Q 0 Q Unit 0 D objts pag 0 Unit 0 Drawing D objts pag Unit 0 Proprtis an viws o D objts pag Unit 0 Cylinrs, sphrs an ons pag Unit 0 Paralllograms an rhombuss pag UNIT Th nam o th shap is: 0 Q A rhombus B paralllogram 0 Q C squar D kit An xampl o a ylinr is: 0 Q A B C D 0 Q Tru or als? 0 Q Th shaps that mak up a ub ar squars 0 Q an rtangls. Tru or als? 0 Q A pyrami is an objt that mts at a point. Complt th tabl: 0 Q Objt Fas Egs Vrtis triangular prism Whih o th ollowing is th orrt viw o a on? 0 Q A B C D Draw th ross-stion: 0 Q To masur an angl, th instrumnt us is 00 Q a. Draw a straight angl. 0 Q 9 Ar th ollowing angls obtus? 99 Q a b Complt th rhombus: 0 Q 9 How many as os a hxagonal prism hav? 0 Q 0 Q 0 Tru or als? 0 Q Evry rtangl is a paralllogram. 0 Masur th rlx angl: 0 Q 0 Q 0 Fin th valu o th missing angl, a. 0 Q a Whih o th ollowing shaps is not a prism? 0 Q 0 Q A B C D Draw a stak o rows by olumns by p 0 Q o ubs. Th angls togthr mak a 0 0 Q straight angl. Fin th missing angl, a Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

124 REVIEW TESTS: Units 09 0 Unit 09 Gomtri pattrns pag Unit 0 Cirls pag Unit Nts an D objts pag Unit Sal rawings pag Unit Sal rawings an ratios pag Unit Tssllation an pattrns pag UNIT Whih o th ollowing shaps tssllat? Q A B C D Th point in th mil o a irl is known as th: 0 Q A ntr B irumrn C ar D stor Tru or als? Q is a nt that maks a triangular prism. Tru or als? Q I th sal is m: km, thn a lin m long Q rprsnts 9 kilomtrs. Complt th tabl: 09 Q No. o hxagons 09 Q 09 Q No. o sis Draw th top viw o a rtangular pyrami. Q Rotat th triangl lokwis through 90 aroun Q th ot. Unit Compass irtions pag Unit Maps () pag Unit Maps () pag Unit Maps () pag Unit 9 Coorinats () pag Unit 0 Coorinats () pag UNIT What is th irtion btwn north an wst? Q A ast B north-wst C south-wst D south-ast I you ar aing north, th irtion to your Q right is: A north B south C ast D wst Tru or als? Q Th oorinat o th 9 Q iamon is C. 0 Q O A B C D Tru or als? u Q Th shap south o th star is th triangl. s q n Mark a ot at th oorinat C. Q Q 0 9 Q A B C D E 0 Q Giv th irtion o th squar rom th irl. Q 9 Q Stat th irtion whil A C Q travlling irtly rom A to C. 9 Q B For th squar, what happns to th Q total numbr o squars whn th si lngths ar ma twi as long? 9 Th iamtr o a irl is twi th lngth o 0 Q th. 0 Q 0 Has th shap bn translat/rotat/rlt? Q Q Q Draw th nt o a rtangular pyrami. Q Rotat th pattrn 90 to th right about th ot. Q What irtion is irtly opposit south-ast? Q Q 9 Do th pairs o oorinats (, ) an (, ) Q show th sam position? 9 Q 0 Q 0 Nam th oorinat that is Q spas south-wst o X. Sor = / Sor = / X 0 0 Giv th oorinats o th Q vrtis o th triangl. 9 Q 0 Q 0 A B C D I rprsnts north an is ast, Q what os rprsnt? Q Q Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

125 REVIEW TESTS: Units Unit Analog tim pag 9 Unit Digital tim pag 9 Unit Digital an analog tim pag 0 Unit -hour tim () pag 0 Unit -hour tim () pag UNIT Quartr to iv writtn as a igital tim is: Q A : B : C : D : writtn as a igital tim is: Q 0 9 A : B 0: Q C :0 D : Tru or als? Q :9 in th atrnoon is th sam as :9 am Tru or als? Q : pm is th sam as. Q Draw minuts to Q on th lok a. 0 Q 9 Unit Stopwaths pag Unit Timlins pag Unit Timtabls pag Unit 9 Tim zons () pag Unit 0 Tim zons () pag Unit Travlling sp pag UNIT minuts = sons? Q A 00 B C 00 D 0 9:0 pm in -hour tim is: 9 Q A 090 B 0 C 0 D 90 Tru or als? Q It will tak hours to travl kilomtrs at km/h. Tru or als? Q Distan Tim Avrag sp 0 m 0 s m/s I it is 9:0 am in Mlbourn, it will b 9 Q in Hobart. Writ as an am or pm tim. Q Q Using th map on pag, i it is noon at Grnwih what is th tim at 0 E? 0 Q Draw on th lok a. Q 0 9 I it is :0 am in Syny, show 9 Q tim on th lok a in Alai 0 9 or aylight saving. Fin th irn btwn 0 an 0. Q Q 9 Writ th tim whih is minuts atr : am. Q Q 0 An alarm lok ra : am, whn th powr Q wnt o. It ra 9: am whn th powr was rstor. Was th powr o mor or lss than Q hal an hour? What will th tim b in hours? Q 0 9 How o w writ a pm tim in -hour tim? Q Us : pm as an xampl. Q Fin th irn btwn 0::9 an 09::9 Q 9 A train runs vry minuts. How many will hav Q run in hours? 0 A Vronia s birthay, th 0th Novmbr to Q th timlin. Jan. A bus lavs Syny at 00 an arrivs in Q Canbrra at 00. How long os it tak to travl btwn th two itis? Cirl th orrt answr. Q To hang yars to ays w: A B C D D. Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

126 REVIEW TESTS: Units Unit Lngth in millimtrs an ntimtrs pag Unit Lngth in mtrs pag Unit Lngth in kilomtrs () pag Unit Lngth in kilomtrs () pag Unit Convrting lngths () pag Unit Convrting lngths () pag Unit Primtr () pag Unit 9 Primtr () pag Unit 0 Ara in m pag Unit Ara in m pag 9 Unit Ara o a triangl () pag 9 Unit Ara o a triangl () pag 90 UNIT m writtn in imal notation is: Q A. m C. km B. m D. km. m = Q A mm B 0. km Q C 0 mm D mm Tru or als? Q Mtrs woul b th most suitabl masurmnt Q to masur your oot lngth. Q Tru or als? Q Thr ar 0 m in. m. Q Q Orr rom th shortst to longst: Q 9 m. m m 0 m 9 m 0.9 m Complt: Q mm m m 0. Fin th total hight: Q UNIT Th primtr o a squar with si lngths Q m is: 9 Q A m B 0 m 9 Q C 0 m D 0 m Th ara o a squar with si lngths o m is: 0 Q A m B m C m D 0 m Tru or als? 0 Q A unit o ara is squar units. Q Tru or als? Q Th ara o a triangl is hal th ara o th Q rlat squar or rtangl. Q Fin th primtr o: Q 9 Q m m m 0 m Fin th ara: m Q 0 m Fin th ara: m Q m m m Roun mm to th narst ntimtr. Q Q Q 9 Cirl th orrt answr. Q.0 m mans: Q m 00 m m 0 m Q m m km m 0 How many 0 m lngths o ribbon an b ut Q rom a m roll (i th xss is isar)? 0. o km is. Q Q I hav m o tap. How muh mor is n Q to mak mtr? Fin th ara o a triangl with bas o 0 m Q an prpniular hight o m. 9 I a squar ha an ara o 00 m, what is th 0 Q lngth o its si? 0 Draw a iagram to show th ara Q o a triangl as hal that o a squar Q with si lngth m, an in Q th ara o th triangl. Fin th prpniular hight o a triangl with Q bas 0 m an ara o 0 m. Q Q Q Fin th ara o th m m 0 Q sha part o th m 0 Q iagram. Q Sor = / Sor = / m 0 Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

127 REVIEW TESTS: Units 9 Unit Htars pag 90 Unit Squar kilomtrs () pag 9 Unit Squar kilomtrs () pag 9 Unit Mass in grams an kilograms pag 9 Unit Mass in tonns pag 9 Unit 9 Mass in tonns an kilograms pag 9 UNIT 9. htars writtn in short orm is: Q A 9. h C 9. Ha B 9. H D 9. ha Th ara whih woul b masur in htars is: Q A a rug B a national park Q C Amria D a small garn Q Tru or als? Q 00 ha = km Tru or als? Q m > 9. km Convrt m to htars. Q Fin th irn in ara btwn Inia Q ( 0 km ) an Npal ( km ). UNIT A bag o potatos woul b wigh with: 9 Q A a isplamnt tank C a wighbrig B a spring balan D stanar sals kg 0 g an b writtn as: Q A g B. g C. kg D kg Tru or als? Q Thr ar 9 tonns in kg. 9 Q Tru or als? Q Thr ar g in 9. kg. What woul b th bst unit or masuring th Q mass o a mobil phon? How many kilograms ar thr Q in.9 t? Q 9 Q Complt th tabl: Q m ha km 0 Q Complt th tabl: Q 9 Q g kg t 0. 9 ha = m Q 9 What is th most suitabl unit o masurmnt Q or th ara o Wstrn Australia? Q Q 0 Fin th total ara o 00 ha + 00 ha + 00 ha. Q Complt with > or < to mak th numbr Q statmnt tru: on point two squar kilomtrs on hunr an twntyour squar mtrs Complt: Q m = m Q m = ha 00 ha = km Complt with < or >: Q 0.9 t 0 g Q 9 Q 9 Fin th total mass: Q 9 Q. t. t. t 0 Complt th tabl: 9 Q kg t kg t Whih itm woul hav th gratr mass: Q a truk or 0 boxs o ruit? 9 Q A ontainr o nuts has a mass o kg. I th Q mass o th ontainr is g, what is th mass o th nuts? Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

128 REVIEW TESTS: Units 0 Unit 0 Capaity in millilitrs an litrs () pag 9 Unit Capaity in millilitrs an litrs () pag 9 Unit Kilograms an litrs pag 9 Unit Cubi ntimtrs an litrs pag 9 Unit Cubi ntimtrs pag 9 Unit Cubi mtrs pag 9 Unit Volum () pag 9 Unit Volum () pag 9 UNIT Th most suitabl unit o volum or a lunhbox is: Q A m B m C m D km Q What apaity o watr woul hav a mass o 0 g? Q A 00 ml B 0 kl C 00 L D 0 ml Tru or als? 0 Q Thr ar 0 L in 0 m. Q Tru or als? Q 9 ubi mtrs = 9 m Fin th volum: m Q m Q Q Writ 9. L as ml. Q Q What is th quivalnt mass o watr or L? Q Complt th tabl: Q Lngth (m) Brath (m) m Hight (m) Volum (m ) Q 9 Cirl th orrt answr. Q A livry van has a volum: lss than m about m gratr than m 0 Fin th volum o a ub whos gs Q masur mm. Q Q Q Q Q Q Q Th apaity o a rtangular prism is 000 ml. 0 Q Its lngth is 0 m an its with is 0 m. What Q is th pth in ntimtrs? Q Q Q Q Q Q Q Q Writ th volum in L an ml. Q 000 ml 0 ml 00 ml Q 0 ml Q Unit Arrangmnts () pag 9 Unit 9 Arrangmnts () pag 9 Unit 0 Priting pag 9 Unit Tabls an graphs pag 99 Unit Bar graphs (ivi) pag 99 Unit Pi harts pag 00 UNIT Anothr arrangmnt o nqnh is: Q A hhnn C hnqh B nnqh D qqnn What is th han that I will bom shortr 9 Q in ol ag? A init B impossibl C likly D qual han Tru or als? Q 0. = qual han Tru or als? 9 Q Thr is a 0% han o laning 9 Q on th numbr. I 0 out o 0 hilrn prr th olour r, 0 Q prit how many hilrn in 000 woul prr 0 Q th olour r. A th tally Shap Tally Q to th tabl: n Th lngth o th bar showing th lttr B is: Q mm or m Q A B C What ration o th Q 00 pi hart shows 00? 00 Q 9 What is th most popular pt? Q 0 Thr ar oughnuts in th box. b y p 9 Q What is th liklihoo (as a ration) b y p o slting a yllow on? Labl th inormation Q on th pi hart: 9 Q r = blu = orang = yllow = What is th han o slting a vowl rom a 9 Q pakt o alphabt ars? Sor = / Sor = / Numbr og at ish Pt Exl Start Up Maths Yar Answrs on pag Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

129 REVIEW TESTS: Units Unit Man, mian an graphs pag 00 Unit Bar graphs an pi harts pag 0 Unit Lin graphs pag 0 Unit Tally marks an graphs pag 0 Unit Raing graphs pag 0 Unit 9 Collt ata pag 0 UNIT Th man o 0 kg, 0 kg an 0 kg is: Q A 0 kg B 0 kg C 0 kg D 0 kg Q Th mian o,,, an is: Q A 9 B C D Tru or als? oil Q Th volum o watr in th ontainr is mor than oil. watr Tru or als? Q Shap Tally Total squars squar wr ount. triangl What numbr is Q th most ommon? Q 0 Total Numbrs Draw a bar graph o th Animal No. Q inormation opposit: og 9 Q at hikn ow 0 shp What was th most E A Q ommon lttr? D B Q C What is th irn btwn a lin graph Q an a bar graph? Q 9 What was th Q tmpratur at 0 Q minuts? Q 9 Q 9 Q (Tmp. C) 0 Tim (min) 0 O 0 pnils how many wr pink? Q pink blu yllow Whih o th pi harts Q woul rprsnt this ata? Q Thr ar 0 tams: A B C 0 play sor, 0 play ntball an th rst play rikt. Tru or als? Q This is an xampl o a ivi bar graph: Unit 0 Aition an subtration prati pag 0 Unit Multipliation an ivision prati pag 0 Unit Frations prati pag 0 Unit Dimals prati pag 0 Unit Problm solving invrs oprations pag 0 Unit Problm solving mony pag 0 Unit Problm solving pag 0 UNIT Th missing numbr o th quivalnt ration Q 0 = 0 is: A B. C D = Q A 0 B C. D 0.0 Tru or als? Q 0 = 0 0 Tru or als? Q withs hats ar pla in a straight lin m apart an th lin xtns or m. Fin: Q 9 Complt: Q 0 ) Fin th missing numbr: Q ( 00) + = 0 Q Q Complt with < or >: Q $. + $9. $9.0 9 Fin thr iths o ity. Q 0 What is th irn btwn th two Q numbr sntns? Q (0 ) + an 0 ( + ) A 9, 0 9. an Q Q I hav straws that vary in lngth Q rom m to 9. m. Giv th rang (lowst to highst) that oul b th total o th lngths. Sor = / Sor = / Answrs on pag Rviw Tsts Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

130 ANSWERS: Units Unit Pag 9 a 0 b HTh TTh Th H T U a tns b units hunr Th Th TTh H a 9, 9, 9 b,, 90, 90, 90 0, 0, 0,, 0, 0, 0 9 HTh TTh Th H T U 9 tns a 0 b , 0, 0 9 on hunr an tn thousan, svn hunr an ninty-thr Unit Pag 9 a b HTh TTh Th H T U HTh TTh Th H T U HTh TTh Th H T U HTh TTh Th H T U HTh TTh Th H T U HTh TTh Th H T U a ighty thousan, our hunr an lvn b ninty thousan on hunr an svnty thousan, two hunr an orty-on nin hunr an ninty-ight thousan, six hunr an orty-two thr hunr an ighty-our thousan an sixty-on ight hunr an svnty thousan, our hunr a < b > > < < < a 9 b two hunr an svnty thousan, ight hunr an ity < 9 9 a b 0 9 HTh TTh Th H T U Unit Pag 0 a units b million thousans hunr thousans thousans tn thousans a 9, 0 9, b 90, 9, ,, 0, 9 00, 0 9 0,, 9 9, 9, 0 a b Numbr Pla valu Total valu tn thousans 0 9, 0, 9 0 a 9 9 tns o thousans b 0 millions hunrs 00 9 thousans 000 millions millions Unit Pag 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar Numbr Pla valu Total valu hunr thousan a b a 0, b 00, 0, 9,, 0, a a b a 0 a 9 subtrat 0 multiply by subtrat a st No. b st No. n No. n No. st No. st No. n No. n No. st No n No st No. n No a st numbr 9 b st numbr + 9 st numbr 0 st numbr st numbr st numbr +, start at an a st No st numbr n No. 0 9 a,, 9, i..,,, b 0 = 00 Unit Pag a b a b a b 9 99 a b a < b <

131 ANSWERS: Units Unit Pag a,, 0,,,, 9, 0 b,,, 0,,,,,,,, 0,,, 0 0,, 0,,,, 0,,,, 0,,,,,, 0,,,, a 0 b 0 0 a, 0, b 9,,,, 0,,,, 9,, a b 9 0,,,, 0,,, 0, 0, 9 Unit Pag 0 0. a 0 b a 9 b a 00 b a b = Unit Pag a 0 b 9 a $ b $9 9 $ 0 $ 0 $ $ 0 a b a $0 00 b ows 0 aps 0 km m pis 9 $9 0 avoaos Unit 9 Pag a 9 b a 0 b a $. b $.9 $. $ 00.0 $ $ 9.0 a 0 g b 0 m 9 tonns 09 L 9 km 9 ha 9 9 $ $ 0 Unit 0 Pag a b 9 9 a b 0 a b a 0 b $9 $ = $0 proit Unit Pag a 0 b a b 0 9 a b a b ars Unit Pag a 0 b a 00 b a 000 b Qustion Roun Estimat a b Qustion Roun Estimat a 9 k b k k k k k Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

132 ANSWERS: Units Unit Pag a b a 000 b a 0 kg b m L 9 t ha 9 m a 0 b mm various Unit Pag a 000 b a $ 9 b $ 9 90 $ $ $ 90 0 $ a 9 9 km b 90 km 9 km km 9 00 km km a 0 kg b L t $ m 0 g 000 $ km L 9 WA ACT = 0 km Unit Pag a + 00 b a 000 b a $ + $ = $ b $ + $ = $9 $ + $9 = $ $9 $ = $ $ $ = $0 $9 $ = $ a 00 b $ $ = $ = Unit Pag a b 0 0 a b 0 9 a b 9 a $90 b $ $ $ $ $ 0 9 $ 9 9 Unit Pag a 00 b 0 0 a tru b als als tru als tru a b a ays b ays 0 ays ays ays 9 ays tru ays 9 0,99,0,,,,, Unit Pag a b a 9 b 0 a = = b 9 = = = = = 0 = 0 9 = = = 0 = 0 a twnty-svn b orty-ight svn on hunr an thirty-two on hunr an ight zro = 0 = ity-six 9 0 ows, horss, pigs, 0 hikns = 0 animals Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

133 ANSWERS: Units 9 Unit 9 Pag a b a 0 b a 00 b a 000 b = 900 L Unit 0 Pag a 0, 0, 90 b 0, 0, 0 0, 0, 0 0, 0, 00 0, 00, 0 0, 0, 0 a 00, 00, 00 b 00, 000, , 00, 00 00, 00, 00 00, 00, 00 00, 00, 00 a 00 b a 00 books b $0 00 stunts 00 wors 00 bisuits 00 L o milk 0, 0, 0 00, 00, Eastr ggs 9 0 lt Unit Pag 9 a 000 b a 00 b a 00 b = 0 stunts approximatly a b Unit Pag 9 a b a b a b 0 90 a 0 b a 00 s b 00 s 000 s Unit Pag 0 a 0 = 00 b 0 = = 00 0 = 90 0 = 90 0 = 00 a = (0 ) + ( ) = 9 b = (0 ) + ( ) = 0 9 = (0 ) + (9 ) = = ( 0 ) + ( ) = = ( 0 ) + ( ) = 0 = ( 0 ) + ( ) = a = b = 9 = = = = = = = = a 0 b = 0 = ( 0 ) + ( ) = 0 0 = = 0 + = = 00 9 = Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

134 ANSWERS: Units Unit Pag 0 a 0 b a 0, 00, 000 b 0, 00, , 000, , 000, , 000, , 000, a b a b 9 ( ) ( ) ( 9) 9 ( ) + 0 (0 ) (0 ) (0 9) + 0 (0 ) , ggs ( 9) ( ) + 90 (0 9) + 0 (0 ) ( ) (0 ) 0 Unit Pag a 9 b 9 ( 9 ) ( ) 0 ( 9 ) 0 ( ) + 90 ( 0 9 ) + 0 ( 0 ) + 0 ( 0 ) + 90 ( 0 ) 00 a b a 00 b 90 0 ( ) ( ) a $9 b $0 $00 $0 $90 $ + 00 ( 0 ) + 0 ( 0 ) $0 9 ( + ) = $ ( ) + 00 ( 0 ) Unit Pag a b 0 9 a b 9 9 a b 9 a 0 bananas b avoaos 9 orangs 9 appls 0 manarins pinappls 0 plums km Unit Pag a b a $0 b $0 $9 $00 $0 0 $ 0 a 0 b a $ b $9 $0 $ $0 $0 $9 0 $ 9 9 = ggs Unit Pag a Divisibl by a tru b als als tru als tru b Divisibl by a,,,,, b,,, 9,,,,,,,,,, 0,,,, 0,,,,,,,,,,, Divisibl by 9 9, 0,, 0,, 0,,,,,, 0 Divisibl by a,,,,,, 9, b,,,, 0,,, Divisibl by 9 0 9,,,,,,,,,,, 0,,, 9 Divisibl by , 0, 0, 0, 0, 0, 0, 0,,,, 0,,,, 0, 0, 0, 00, 9090, tru, 00,, 0,,,, 0, 0 9,,,,,,, 9 000,, 00,, 0,,, 000,,, 0, 00, 0, 0,, 00, 0,, 0, 00 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

135 ANSWERS: Units 9 Unit 9 Pag a 0 b a 0 b a b 9 a b a b Unit 0 Pag a 0 = 0 b 0 = 0 0 = = = = 00 a 0 0 = 00 b 0 0 = = = = = 00 a 0 00 = 000 b 0 00 = = = = = 000 a 0 000, 9 b 000, 9000, 0 000, 0 000, 000, 00 = = = , = 000 nwspaprs Unit Pag a 9, b,,,,, a 9 b 0 a b a b 9, 0 9 pnils in ah box Unit Pag a b a r b r r r r r a 0 b Qustion Quotint Rmainr r 0 Qustion Quotint a b Qustion 0 Quotint 9 Rmainr Rmainr Unit Pag a r b r r r r r a b a r b r 09 r 0 r 00 r 0 r a $.0 b with ggs ovr 9 ars with tyrs ovr 0 ml 9 m ++ taks with lt ovr r 0 r 0 lttrs 9 =. m Unit Pag a b r r r r a b 0 = a ) 9 ) 0 ) 9 ) 0 0 = 0 b ) 9 ) = ) 9 ) a 0 b )0 = 0 ) ) )9 0 ) 0 ) 9 )9 9) ) ) )9 0 ) ) 9) 9 ) 0 r a 0 b )9 0 9) ) Unit Pag a 9 b a 0 b a 0 b a 09 in ah row b $9 ah 0 in ah pil 0 pr rak 0 trays 0 wks lngths 9 Unit Pag a 0. b a b a b a 90 m b 0 m 9 m m m m m boxs Unit Pag a b a b a b a. b a., b., 9 Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9

136 ANSWERS: Units Unit Pag a b 0 0 a 90. b a 00 stunts b 0 L in ah ontainr 9 m pr paok 9 km t pr boat points a 0 b $ 9 9 Unit 9 Pag a b ) ) ) ) ) ) a r b r r 0 r 0 r a r b 0 9 r r 9 r a b r 9 r 0 9 artons with ggs lt ovr ) 9 Unit 0 Pag a b a b 9 $. $9.00 a 0 b a C b C. C 0. C. C. C.. C 9 xampl:,, Unit Pag 9 a. b a 0 b a b Tam Numbrs Totals Divirs Multiplirs Ars Subtratrs Sor 0,,,,,,,,,, 0,,,, 0, 0,,,,,,,, 9,,,,,,, Avrag a. C b marbls. runs. ruit 0. pnils. maths 9. Tam Sor Avrag $.0 9 Powrs,,,,, Unit Pag 9 a orrt b orrt 9 orrt a 0 b orrt orrt orrt orrt a als b tru als tru tru als a D b F E A C B 9 orrt tru = * 9 birs Unit Pag 0 a b a 9 b a 9 b a b 0 b i ii iii iv a Unit Pag 0 a 0 b a b 0 a b 0 a b ( + ) = + ( ) = 9 0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

137 ANSWERS: Units 0 Unit Pag a b 0 a b 0 0 a b a b a sam answr as starting numbr b invrs oprations Unit Pag a b a b a 0 b a b 00, 0, 0, 9 xampl: (0 9) + ( ) = 0 (0 9) ( ) = 0 Unit Pag a. b. a b.... a. b a b or 0. or 0. 9 ( ) 0..0 =. Unit Pag a st b st st No. n No. 0 0 No. n No No. n No st No. n No st st a ivi by b multiply by ivi by ivi by No. No n No. n No ivi by multiply by 0 a, b, 9, 0,,.0, 0 a, b,,, 0,., st a 9, 99, 9 No. o triangls No. n No No. o sis 9 Unit 9 Pag a,, b,, 9, 9.,.,,,,,, 0 a a,,,... b a an squar a 0.,,.,... subtrat 9,,,... a,, 9,... multiply by, ivi by a st No. n No. b st No. n No. st No. n No. st No. n No. st No. n No a st No. n No. b st No. n No. st No. n No. st No. n No. st No. n No ,, a st No. n No. st No. n No Unit 0 Pag a b 0. a b a b 99. a M = 0 + ( ) M = b n = ( + + ) n = ( + 9) = V = (00 ) ( ) V = T = ( ) +, T = 0 * = = (0 ) 0 = D = 0 9 * = ((9. ) + 0.) = 0. or n 9 st No. 0 st No n No. n No Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

138 ANSWERS: Units Unit Pag a 0 b a 9 99 b a 0 0 b a b Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar ) pakts pr yar Unit Pag a b a b a b. 0. a $.0 = $.0 b appls + + =, appls = 0 ( ) = trays $.0 + b = $., b = $. = ara, ara = m ( ) + ( L) =, lttu plants pr row.9 0 =. m.9 m =. m 9 x ( ) + 0 = 9, starting numbr was 0 Unit Pag () () () () 0 () a b a 0 a b 9 9 a + = b 9 = b 0 0 = 0 = = + 0 = () () () () 0 () = 9,,, 9, Unit Pag a $. b $.00 $. $00.00 $. $00.90 a $.0 b $. $. $0. $9. $. a $.00 b $.0 $9. $. $. $.9 a $. b $0. $0.0 $.0 $. $. $.0 $.0 $.9 $0. 9 (9 $.) + ( $.99) + ( $.) = $. Unit Pag a 0 b 9 9 a ( 00) ( ) = b (9 ) + ( ) = ( + 9) = 9 (.9 + ) 9. =. ( ) = 00 ( ) + = 0 a 9 b D ( ) = 9 D A B C 0 D, answr C. Thr.0 ar 0 small squars. D + D a 0. b Unit Pag a tru b als tru als als als a b a 0 b 9 ) D + D a. b a x + = 0, x = b x =, x = (x + 00) = 0, x = 00 (x ) =, x = 9 (x ) = 0, x = (x ) + = 9, x = als x x + 9 = 90, x = 9 9 9,, 9, 9,, 0

139 ANSWERS: Units Unit Pag a tru b als tru als als tru a b 0 a b 9 a als $ b tru als tru tru als tru als 9 x 0 = 0, x = 00 Unit Pag a tru b als tru tru als als a. b ()... a * b * * 9 * + * + * a x =, x = b x = 00, x = 0 x + =, x = x =, x = x =, x = x =, x = tru * 0 x + = 9, x = 9 0 = ; + = 0 Unit 9 Pag a b 0 90 a tru b als als tru tru als a (x + 0) = 00, x = 90 b (x ) 0 = 0, x = 0 x + =, x = 99 x + 0 = 9, x = x + 9 = 90, x = 9 (x 0) =, x = 9 a b tru (x + ) = 0, x = 9 9 a 9. b 9. Unit 0 Pag a b a b Numbr a b a + 9 = b = = + = 9 = = Squar Cub Numbr ( + ) = 0 Squar 9 9,,, 9,, inrasing by ah tim Cub Unit Pag 9 a > b > > < = > a 0 00 b a an b 9 an 9 9 an 9 an 0 9 an an 0 For xampl: a 00 b > an 0 0 For xampl: a (million) b Unit Pag 9 a 0.9 m b m 0 m 0 m 0 m 0.9 m a kg b 0.09 kg 000 kg 00 kg.9 kg 00 kg a 0 min b min 0 min 0 min 90 min 00 min a > b < < < < <. m 0. kg min < 9 For xampl: kg 00 g n kg 00 g 00 g 00 g 0 g 00 g kg g tonn Unit Pag 0 a,,,, 0,,,, b 0,,,, 0,,,,,,, 0,,,,,, 0,,,, 0, 0,, 0, 0,, 0, 0,, 0,, 0,,,,, 9 a 9 C b 0 C C C C C a $ b $ $0 $ $ $ a b,,,, 0, 0, 0, C $ 9 a b 9 Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

140 ANSWERS: Units 0 Unit Pag 0 a b p p p a Divisor 9 09 b sampl: a + = b 9 + = 9 + = 00 + = 0 + = 0 + = 90 a,, 9, 0,, b, 0,,,,,,,,,,,,,,, 90, 9, 9, 9, 9, 9, 9, 9, 99,,, 9, 0,,,,,,,,,, 9 Divisor + = , 9, 9, 9, 9, 00, 0, 0, 0, 0, 0, 0, 0, 0, 09 9,,,,,,, 9,, 9,,,,, Unit Pag a = b = 0 a b 0 a b 9 0 a b = 0 = 9 = 9 = brokn, not brokn Unit Pag a b a b a b 0 a postars b bars lt 9 marbls 0 ars blank stamps lt balls lt 9 a 0 b 00 0 Unit Pag a b a b 9 a 0 lttrs b songs 9 DVDs 9 mails mins s a 9 b 0 $ No. 90 = Unit Pag a b 0 0 a b a b 0 9 a tru b tru als als tru tru tru 9 = 0, = ; is largr Unit 9 Pag a b 0 a b 9 9 a b a = = = b = = = = = = Unit 0 Pag a b a b = = = 9 = = = 0 0 = = = = = = = = = 9.g. = = = = 0 a b a < b > < < = = = 9 Itm Amount Fration Simplst orm Movis $ Foo/rink $ Bus ars $9 Books $0 Go-Karts $ Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

141 ANSWERS: Units Unit Pag 9 a, b,,, 0, 0, a b = a b a b 0 0 =, = 0 = 9,,,,, ;,,,,, Unit Pag 9 9 a als b als tru tru tru tru a = 0 = b + = = 0 = 0 0 a = = b 0 0 = 0 = 0 = a = b = = 0 = = als 0 = 0 9,,,,, = Unit Pag a = b 9 = = = 0 = a 0 = 0 b 0 = 0 = 0 0 = 0 = 0 = 0 0 a = b = = = 0 = 0 = = a + = = b = 0 = + = = 0 = 0 + = = = 9 = 0 = 0 = = += 9 + = + = = ups Unit Pag a 9 b a 0 b = = = 9 = a 0 0 = 0 = b = = 0 0 = 0 9 = = 9 0 = = 0 a = = b = = 9 = = > = = = 0 = = = lt Unit Pag a 0 9 b = 0 = 0 9 9=9 a b 0 = a + = b + = = + = = 9 + = a = b 0 0 = 0 = = = 0 0 = = = 9 + = = Unit Pag 9 a b a b a = b = = = = Rpat Simplst Qustion 0 = Fration aition 9 9 ; 9 = = a orm b mtrs 0 Unit Pag a Qustion b 0 0 Rpat aition Fration Simplii ration b 0 0 a Rpat aition Qustion Fration Pasal Prss ISBN 9 pp- Maths_Answr_0.in Mix numbr 9 0 a = b 0 = = = = = a = bags b = o ak 9 = bags o swts = bars o hoolats = pinappls 0 = boxs o pnils Answrs Qustion Rpat aition Fration Mix numbr = = gg artons 9 = or ; Exl Avan Skills Start Up Maths Yar /0/0 : AM

142 ANSWERS: Units Unit Pag a = b = 0 = = 0 = 0 = a = b = = = = = 0 a = b 0 = 0 = = 9 = a = h b = my mony = 0 o a yar mtr = 9 kg = o a ay = = Unit 9 Pag 9 0 = appls 9 a b a 9 b a b 0 a $ b $0. m 90 ml 000 L ggs a = b = 9 = min 9 9 $0 Unit 0 Pag a b + T U THs HHs Tths. T U THs HHs Tths.0 T U THs HHs Tths 9.0 T U THs HHs Tths. T U THs HHs Tths T U THs HHs Tths. 0.9 a 9. b a hunrths b thousanths units units hunrths tnths a 0. b thousanths T U THs HHs Tths.0 Unit Pag 9 a. b a. b a $99.0 b $.0 $.0 $.0 $. $9. a $. b $. $9. $. $0.9 $..0. $. $. 9.9 km Unit Pag 9 a 0. b a 0. b a $. b $. $. $. $.0 $. a. b $ m Unit Pag 0 a. b a $. b $0.0 $.0 $.9 $9.9 $. a $.0 b $. $0.0 $9.0 $0. $.0 a. m b. m. m. m.9 m 0. m. $.9 $0.9.0 m 9 L Unit Pag 0 a. b a. b..... a $9. b $. $. $. $. $. a $. b.0.0 $ Unit Pag a. b a b a 0.0 b a 0.00 b Numbr Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

143 ANSWERS: Units 9 Unit Pag a 0. b a 0. b a. b a. b , an 0.. Thy ar th sam as it is th sam quation xprss in a irnt way. Unit Pag a 0. b a b a = 0. b = = = = 0. = = 0. = 0 = 0. = = Fration o 00 Dimal 0. a b = = Fration o 00 Dimal Unit Pag a. b a.9 b a = 9 b = = = = = a.,. b 9.9, , ,..,.., =.0,. 9 $ + $ + $ + $ + $ = $ Unit 9 Pag a 0% b 90% 0% % % % a 0. b Fration a % b % 90% 0% % Dimal Prntag a b % % 0. % 0. % 0. % 0. %. Fration Dimal Prntag % 0. 9 a 0 = 0% b = 0 = % = 0% Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

144 ANSWERS: Units 90 9 Unit 90 Pag a b 90 0 a $ b $0 $ $ $ $ a 0% b % % 0% % 0% a $0 b $9.0 $0 $ $0 $ $.0 a 0% b 00% 0% $0 9 a 90 b 9.. Unit 9 Pag a % = 0 b % = 0% = 0 0% = % = 00 0% = 0 a $.0 b $.0 $9.00 $.00 $.90 $ a pigs b 9 goats ats hikns horss birs a b 0 $ ows Pri $0 $0 $0 $0 $900 $0 0 % o Disount Disount pri $ $ Unit 9 Pag $ $ $ $ $0 $0 $ $ $ $9 Pri $00 9 $0.00 % o 90 Disount $0 Disount pri $0 a 0% b 90% % % % 0% a 0.0 b a 0% b 0% % 90% % % a 9 00 b % %. 9%. 9 a Unit 9 Pag a $, $, 0, 0, b $0, $, 0, 0, 0 $0, $, $, 0, $0, $0, $, $, 0, 0, 0, $0, $0, $0, $, $, 0, 0 $00, $0, $, $, 0, 0, a $.0 b $. $. $.0 $.9 $.0 a $.00 b $9.0 $.0 No B $. a $.0, $.00 b $. $., $.0 $.9, $.0 $., $. $., $. $0, $0, $, 0, 0, 0 $0.0 $. $., $. 9 bag o orangs Unit 9 Pag a $9. b $.9 $00.00 $. $00.00 $9. a $09. b $99. $9. $. $. $. A$ = $ souvnir = a als b tru als als tru als a C$. C$. $0.0 $. A$ = $ souvnir = b NZ$. NZ$. als 9 a C=00 b $000 Bht. Bht S$0.9 HK$.0.0. S$.0 HK$.0 Exl Start Up Maths Yar Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar

145 ANSWERS: Units 9 0 Unit 9 Pag a b a b a b a ys b ys ys no ys ys no 9 Unit 9 Pag a ys b no no ys no ys a b a ys b ys ys ys no no a b ys ys 9 ys, Unit 9 Pag a a tru b als tru tru als tru a b no als Shap No. o sis No. o iagonals a squar b rtangl pntagon hxagon hptagon 9 otagon 0 9 an Shap No. o sis nonagon 9 No. o iagonals Unit 9 Pag a b a vrtial b horizontal horizontal vrtial nithr nithr a tru b als tru als tru als b no horizontal als ys 9 a no b ys ys no Unit 99 Pag a 0 b 0 0 a 0 b a ys b no ys no ys no a no b no ys ys no no no ys 9 0 Unit 00 Pag a ys b no ys no no ys a ys b no no ys no no sampl: a 0 b a 0 aut b 9 obtus obtus 0 rvolution 00 rlx 0 rlx no no 0 0, straight 9 th sam, 0 Unit 0 Pag 9 a 0 b a 0 b a aut b right ull rvolution obtus obtus rlx a 0 b straight Answrs Pasal Prss ISBN 9 Exl Avan Skills Start Up Maths Yar 9