N1.1 Homework Answers

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1 Camrig Essntials Mathmatis Cor 8 N. Homwork Answrs N. Homwork Answrs a i 6 ii i 0 ii 3 2 Any pairs of numrs whih satisfy th alulation. For xampl a 4 = = a 5 a 8 an +3 0 an 2 6 a 2 + = = = = 5 Original matrial Camrig Univrsity Prss 2009

2 Camrig Essntials Mathmatis Cor 8 N.2 Homwork Answrs N.2 Homwork Answrs a a a 96 = 4 49 = 2 = = 4 2 = 2 = = 8 00 = 9 0 = 90 4 a 9 m 8 m 2 5 a 3 u quals 2 8 is th u of 2 is th u root of 64 is th u of 4 Th u root of 25 is 5 f 000 is th u of a a = 6 an 49 = 42 lis twn 36 an 49 so 42 must li twn 6 an. 0 a f 3.6 g 9.22 h 2.3 i 3.6 Original matrial Camrig Univrsity Prss 2009

3 Camrig Essntials Mathmatis Cor 8 N.3 Homwork Answrs N.3 Homwork Answrs a 3, 6, 9, 2, 5, 8, 2, 24, 2, 30 4, 8, 2, 6, 20, 24, 28, 32, 36, 40 2, a a 2 All multipls of 6 ar vn numrs an numrs ning in 5 ar o. 4 a, 2, 3, 4, 6, 8, 2, 24, 2, 4, 5, 8, 0, 20, 40, 2, 4, a a is a prim numr. Numr Numr Fators of fators 2, 2 2 3, 3 2 4, 2, 4 3 5, 5 2 6, 2, 3, 6 4, 2 8, 2, 4, 8 4 9, 3, 9 3 0, 2, 5, 0 4 is th only numr with just on fator. Numr Fators Numr of fators, 2 2, 2, 3, 4, 6, 2 6 3, 3 2 4, 2,, 4 4 5, 3, 5, 5 4 6, 2, 4, 8, 6 5, 2 8, 2, 3, 6, 9, 8 6 9, , 2, 4, 5, 0, 20 6 Numrs with just two fators ar prim numrs. Squar numrs hav an o numrs of fators. Original matrial Camrig Univrsity Prss 2009

4 Camrig Essntials Mathmatis Cor 8 N.3 Homwork Answrs a 9, 2 3, 6 9, 25 8, 25 3, 43 8 a 90 = = = = a 264 = = = = Original matrial Camrig Univrsity Prss

5 Camrig Essntials Mathmatis Cor 8 N2. Homwork Answrs N2. Homwork Answrs a f 3 8 g h a a f 2.2 g 4.5 h 2.5 i 5.8 j a a 60 oys a i ii iii Rurring imals Th rurring imals ontain th sam rpating squn of six igits, ut start at iffrnt points in th squn. 8 = = =.4285 a i 0.25 ii iii iv v 0.5 vi an 9 2 ar trminating imals. 5 9, 6, 0 5 an 8 ar rurring imals. Original matrial Camrig Univrsity Prss 2009

6 Camrig Essntials Mathmatis Cor 8 N2. Homwork Answrs 8 a i 8 = = = ii 8 = = = 6 8 iii = = = i 8, 9, 0 ii 4,, iii 4,, i 8 = = 0. 0 = 0. 4 ii = = = iii 4 5 = = 0. 8 = a is gratr than 0.6. is gratr than is gratr than a i 3 5 an 6 6 ii 5 6 an 4 5 iii 2 8 an 2 9 i 4 6 = 2 3 ii 0 5 = 2 3 iii 24 Original matrial Camrig Univrsity Prss

7 Camrig Essntials Mathmatis Cor 8 N2.2 Homwork Answrs N2.2 Homwork Answrs a = 4 = = f = g = h 0 = i 0 = j = k = l = = + = = a f 9 g 5 6 h 5 8 i a f 6 90 g h a f 3 24 g 9 h a f 60 g 6 33 h 2 35 a f 2 3 g h a f 40 g 3 20 h 3 36 Original matrial Camrig Univrsity Prss 2009

8 Camrig Essntials Mathmatis Cor 8 N2.2 Homwork 2 Answrs N2.2 Homwork 2 Answrs a g 40 m 2 mils f 20 g 2 h 3 g i 2 2 a 9 whit hoolats 5 plain hoolats 2 milk hoolats; 2 = = m 2 3 a f 6 4 g h 26 4 a 5 g 2 m 28 mm kg f 38 m 5 a 5 fifths; 5 = 5 6 sixths; 6 = 6 24 sixths; 4 6 = 24 6 Diviing y 8 is th sam as multiplying y 8. a f 20 8 a 40 8 = 5 thrfor 5 8 = = 6 thrfor = = 9 thrfor = = 5 thrfor 5 5 = 2 Original matrial Camrig Univrsity Prss 2009

9 Camrig Essntials Mathmatis Cor 8 N2.3 Homwork Answrs N2.3 Homwork Answrs a 20 = = = = f = = a 5% 3% 4% 23.5%.8% f 246% 3 Appl Par Strawrry Mlon Banana a %.5% 25% 2.5% 5% 4 Dan shoul work out 2 00% = 28.5 %, so 2 = 29% to narst prnt. 5 a f a m 6.5 km 2. kg 9.5 g f 5.46 m g h 33 mm Ys, sh is orrt. 40% of 60 = = 24 60% of 40 = = 24 8 a 600 m 2 90 m 2 9 a 48% 20% 3.5% 0 a % a 5% 4.8%.5% 8% 32.5% Original matrial Camrig Univrsity Prss 2009

10 Camrig Essntials Mathmatis Cor 8 N2.3 Homwork 2 Answrs N2.3 Homwork 2 Answrs a f = a Th numr of arrls of oil prou aily in 2008 will 05% of th numr prou in As a fration, this prntag is quivalnt to arrls 4 a = = a Option B is hapr y Original valu = Aftr an inras of 5%, th valu is = Aftr a furthr ras of 5%, th valu is = Th hous is worth lss than whn h ought it, not th sam. Original matrial Camrig Univrsity Prss 2009

11 Camrig Essntials Mathmatis Cor 8 N2.4 Homwork Answrs N2.4 Homwork Answrs a f a 60% 25% 0% 62.5% 36% f 65% 3 a a = = = = = a f 3.9 g 9.5 h a kg 0.6 litrs 23.4 hours = 23 hours 24 minuts 5.95 m f a Fin 0%. Thn halv it to fin 5%. Thn halv it it again to fin A all thr numrs togthr to fin 2 %. Or multiply y thn ivi y 4 thn ivi y 0 (or quivalnt) Th trainrs ost in th sal, so Charli os hav nough mony. 9 a f 0.48 g 0.48 h a %. Original matrial Camrig Univrsity Prss 2009

12 Camrig Essntials Mathmatis Cor 8 N3. Homwork Answrs N3. Homwork Answrs a a a a a f 40 6 a = = 20 a = = 20 or 2 0. = 20 Original matrial Camrig Univrsity Prss 2009

13 Camrig Essntials Mathmatis Cor 8 N3. Homwork 2 Answrs N3. Homwork 2 Answrs a a a hunr pouns 5 a km lngth < 255 km. Any lngth in this rang is orrt. a a a a 3.5 m m m 2 Original matrial Camrig Univrsity Prss 2009

14 Camrig Essntials Mathmatis Cor 8 N3.2 Homwork Answrs N3.2 Homwork Answrs a a a kg 9 a a a Original matrial Camrig Univrsity Prss 2009

15 Camrig Essntials Mathmatis Cor 8 N3.2 Homwork 2 Answrs N3.2 Homwork 2 Answrs To fin 50% of a numr ivi th numr y 5 To fin 4 of a numr ivi th numr y 3 To fin of a numr ivi th numr y 2 To fin 20% of a numr ivi th numr y 0 To fin 0. of a numr ivi th numr y 4 2 a f 6.9 g 28 h kg lss Sam laim 2.25, Kat laim.50 an Sharon laim m 8 a Answrs may vary hk pupil s rouning. a f 8000 Original matrial Camrig Univrsity Prss 2009

16 Camrig Essntials Mathmatis Cor 8 N3.3 Homwork Answrs N3.3 Homwork Answrs a f a 8.8 kg kg Lss y.52 kg 3 a i 35 4 = 40 ii 5.2 i 50 5 = 50 ii 25.2 i 8 0. =.8 ii US $ a Original matrial Camrig Univrsity Prss 2009

17 Camrig Essntials Mathmatis Cor 8 N3.4 Homwork Answrs N3.4 Homwork Answrs a f a a Qustion 3 Qustion 2 4 a ran i 28 ran ii gallons 6 a 65.2 p of 2.56 is % of 6.5 is 4.86 So 2% of 6.5 is gratr 9 a 6 hours 9 hours 36 minuts 39 sons.2 hours f 42 minuts 0 a 360º 25 5 or minuts 0 sons Original matrial Camrig Univrsity Prss 2009

18 Camrig Essntials Mathmatis Cor 8 N4. Homwork Answrs N4. Homwork Answrs a f 6 g 0 h 0 i 9 j 5 k 2.5 l 5.33 m n o 2 a f 84 g 2 h 64 i 0 3 a (8 + 2) = = 3 (8 + 2) (4 + 2) = (4 + 2) = = 4 f (26 + 5) 8 5 = 323 g (8 5) = h (26 + 5) (8 5) = 23 4 Sharmi work out = = 9 Sh shoul hav foun th answr to first thn ivi y Sh oul think of it as having rakts lik this (2 + 48). (6 + 4) 5 a P = 3 (4m + 2n) P = 8 m 6 a P = 4 m A = 2 m 2 ( + 3) m Ys aus th g lngths ar all qual. Q = 4 ( + 3) m f B = ( + 3) 2 m 2 g i W = 2 m 2 ii X = 3 m 2 iii Y = 3 m 2 iv Z = 9 m 2 v Ara = ( ) m 2 = ( ) m 2 h Primtr = 4 (5 + 3) = 32 m Ara = (5 + 3) 2 = 64 m 2 or = = 64 m 2 Original matrial Camrig Univrsity Prss 2009

19 Camrig Essntials Mathmatis Cor 8 N4.2 Homwork Answrs N4.2 Homwork Answrs a 5 2 = 2 is inorrt. Multipliation must on for sutration so it is 0 =. (6 4) = 68 is inorrt ivision must on for sutration so it is 44 4 = = 8 is inorrt woul only 2 an it must lss than this = 8. is inorrt = 4 9 whih is lss than So whn it is ivi y 2.5, th answr must lss than. 2 a 8 30 = = 2400 so 8 30 must a it smallr than = 34.5 y 0.2 maks th answr iggr so it must iggr than = = 48 so th answr must a it smallr than = is aout 9. Multiplying y 0.5 is th sam as iviing y 2 so th answr must aout 4. 3 a x = (i) x = 3 29 (iii) x = (ii) 4 If you a th lngths togthr th total lngth ut is m whih an not orrt as thr was only 6 m of rion =.0 5 Mo mans th most frquntly ourring valu. In this as it is 4. mo as it os not appar in th list of sho sizs. 4 2 is not a possil Original matrial Camrig Univrsity Prss 2009

20 Camrig Essntials Mathmatis Cor 8 N4.3 Homwork Answrs N4.3 Homwork Answrs a 8 20 = = = 3 2 a 8 : 2 = 2 : 3 6 : 6 = : 5 : 0 = : 2 3 a 0 36 = = 2 0 : 26 = 5 : 3 8 : 8 = : 4 a 2 : : 3 : 4 3 : 5 5 : 3 f 2 : g 3 : 2 h 2 : i : 5 j 2 : k : 2 l 3 : 4 5 a x = 2 p = 6 n = 3 y = 8 q = 5 f g = 9, h = 8 Original matrial Camrig Univrsity Prss 2009

21 Camrig Essntials Mathmatis Cor 8 N4.3 Homwork 2 Answrs N4.3 Homwork 2 Answrs a 4 : 30 = 2 : 5 8 : 200 = : 25 0 : 000 = : 00 5 : 20 = : : 2000 = 3 : 20 f 5 : 000 = : 200 g 25 : 600 = : 24 h 35 : 2000 = : 400 i 6 : 48 = : 8 2 a 9.6 m 5.25 m 3 a i m ii 0 km 3.2 m 4 a Smallr part = 0 m, largr part = 50 m. Smallr part = 24 m, largr part = 36 m. Smallr part = 2 m, largr part = 48 m. Smallr part = 2 m, largr part = 33 m. Smallst part = 5 m, mil-siz part = 20 m, largst part = 25 m a i 800 ml ii litr 40 ml No it is not orrt, a ratio of : 4 mans thr ar 5 parts, so it is 5 not 4. a 6 : 0 = 8 : 5 2 : 5 = : 5 42 : 36 = : 6 No, it woul man thy wr th sam ag. Original matrial Camrig Univrsity Prss 2009

22 Camrig Essntials Mathmatis Cor 8 N4.4 Homwork Answrs N4.4 Homwork Answrs a Pouns ( ) Yn ( ) a Tim (hours) Distan (km) Sp of aroplan is 450 km/hour 2800 km (s graph) Original matrial Camrig Univrsity Prss 2009

23 Camrig Essntials Mathmatis Cor 8 N4.4 Homwork Answrs 3 a : 5.5 :.25 : 0. : 0.45 : a Th two varials ar irtly proportional aus it is a linar graph (it is a straight lin whih passs through th origin). (approximatly) 220 pouns 0 pouns 2.2 pouns : 2.2 f (approximatly) 54 pouns g 0.45 kg h : 0.45 i 2200 pouns Original matrial Camrig Univrsity Prss