Mathematics Revision & Exam Workbook

Transcription

1 YEAR 8 Mthemtics Revision & Exm Workbook Updted Edition for the Austrlin Curriculum Over 00 Units of Work Fourteen Topic Tests nd four Exms Get the Results You Wnt! AS Klr

2 YEAR 8 Mthemtics Revision & Exm Workbook Get the Results You Wnt! AS Klr

3 2000 AS Klr nd Pscl Press Reprinted 200, 2002, 2004, 2005, 2006, 2007, 2008, 2009, 200, 20, 202 (twice) Updted in 204 for the Austrlin Curriculum Reprinted 205 (twice) ISBN Pscl Press PO Box 250 Glebe NSW 2037 (02) Publisher: Vivienne Jonnou Project editor: Vivienne Jonnou Edited by Science Desk Interntionl nd My McCool Proofred by Dinnh Johnston Answers checked by Chelse Smithies nd Peter Little Typeset by Science Desk Interntionl nd lj Design (Julinne Billington) Cover by DiZign Pty Ltd Printed by Green Gint Press Reproduction nd communiction for eductionl purposes The Austrlin Copyright Act 968 (the Act) llows mximum of one chpter or 0% of this book, whichever is the greter, to be copied by ny eductionl institution for its eductionl purposes provided tht the eductionl institution (or the body tht dministers it) hs given remunertion notice to Copyright Agency Limited (CAL) under the Act. For detils of the CAL licence for eductionl institutions contct: Copyright Agency Limited Level 5, 233 Cstleregh Street Sydney NSW 2000 Telephone: (02) Fcsimile: (02) Emil: enquiry@copyright.com.u Reproduction nd communiction for other purposes Except s permitted under the Act (for exmple, ny fir deling for the purposes of study, reserch, criticism or review) no prt of this book my be reproduced, stored in retrievl system, or trnsmitted in ny form or by ny mens without prior written permission. All inquiries should be mde to the publisher t the ddress bove. Dediction This book is dedicted to the new genertion of young Austrlins in whose hnds lies the future of our ntion nd who by their hrd work, cquired knowledge nd intelligence will tke Austrli successfully through the 2st century. This book is lso in the loving, living nd lsting memory of my der mum, dd nd uncle, who will remin gret source of inspirtion nd encourgement to me for times to come. Acknowledgements I would especilly like to express my thnks nd pprecition to my der wife nd son, who hve helped me find the time to write this book. Without their help nd support, chievement of ll this work would not hve been possible. Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

4 Contents Introduction...vi CHAPTER Bsic rithmetic nd the clcultor Unit Approximtions nd rounding off... Unit 2 Mixed opertions... 2 Unit 3 Squres, cubes nd powers... 3 Unit 4 Squre roots nd cube roots... 4 Unit 5 Problem solving nd the clcultor... 5 Topic Test... 6 CHAPTER 2 Percentges Unit The mening of percentge... 8 Unit 2 Chnging percentges to frctions... 9 Unit 3 Chnging frctions to percentges... 0 Unit 4 Chnging percentges to decimls.. Unit 5 Chnging decimls to percentges.. 2 Unit 6 Finding percentge of quntity... 3 Unit 7 Incresing or decresing by given percentge... 4 Unit 8 Expressing quntities s percentges... 5 Unit 9 Unitry method nd percentges... 6 Unit 0 Commission Unit Discounts... 8 Unit 2 Profit nd loss... 9 Unit 3 Problem solving nd percentges Topic Test...2 CHAPTER 3 Four opertions with integers Unit Addition of integers Unit 2 Subtrction of integers Unit 3 Multipliction of integers Unit 4 Division of integers Unit 5 Mixed questions Unit 6 Indices Unit 7 Order of opertions Unit 8 Problem solving with integers Topic Test....3 CHAPTER 4 Indices Unit Index nottion Unit 2 Index lws: multipliction with indices Unit 3 Index lws: division with indices Unit 4 Index lws: powers of powers Unit 5 Index lws: the zero index Unit 6 Index lws: miscellneous questions Topic Test CHAPTER 5 Rtionl numbers Unit Rounding off whole numbers... 4 Unit 2 Rounding off decimls Unit 3 Chnging frctions to terminting decimls Unit 4 Recurring nd terminting decimls Unit 5 Irrtionl numbers Unit 6 Equivlent rtios Unit 7 Using rtios Unit 8 Rtes Unit 9 Conversion of rtes Unit 0 Scle drwing Unit Problem solving Topic Test CHAPTER 6 Bsic lgebr Unit Algebric expressions Unit 2 Simplifying lgebric expressions Unit 3 Collecting like terms Unit 4 Algebric bbrevitions Unit 5 Substitution () Unit 6 Substitution (2) Unit 7 Addition nd subtrction of like terms () Unit 8 Addition nd subtrction of like terms (2)... 6 Unit 9 Multipliction of pronumerls Unit 0 Division of pronumerls Contents iii Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

5 Unit Algebric expressions nd the order of opertions Unit 2 Applying the distributive lw to expnd lgebric expressions Unit 3 Common fctors Unit 4 Problem solving nd lgebr Topic Test CHAPTER 7 Length, mss nd time Unit Symbols nd prefixes Unit 2 Units of mesurement... 7 Unit 3 Conversion of units of length Unit 4 Pythgors theorem () Unit 5 Pythgors theorem (2) Unit 6 Perimeter of plne shpes Unit 7 Perimeter of irregulr shpes Unit 8 Conversion of units of mss Unit 9 Applictions of mss Unit 0 Conversion of units of time Unit Addition nd subtrction of time Unit 2 Clocks nd times... 8 Unit 3 Problem solving using 2- nd 24-hour time Unit 4 Problem solving with length, mss nd time Topic Test CHAPTER 8 Are, volume nd cpcity Unit Units of mesurement Unit 2 Formule for plne shpes nd solids Unit 3 Are of prllelogrms Unit 4 Are of trpeziums Unit 5 Are of rhombuses Unit 6 Are of kites... 9 Unit 7 Are of plne shpes Unit 8 Problem solving with re Unit 9 Volume of cubes Unit 0 Volume of rectngulr prisms Unit Volume of tringulr prisms Unit 2 Volume of prisms miscellneous Unit 3 Problem solving with volume Unit 4 Cpcity nd volume Unit 5 Problem solving with re, volume nd cpcity Topic Test CHAPTER 9 Circles Unit Prts of circles...03 Unit 2 Circumference of circles Unit 3 Applictions of circumference...05 Unit 4 Are of circles...06 Unit 5 Applictions of re...07 Unit 6 Miscellneous questions...08 Unit 7 Problem solving with circles...09 Topic Test CHAPTER 0 Liner reltionships Unit The number plne...2 Unit 2 Tbles of vlues....3 Unit 3 Grphing stright lines...4 Unit 4 Using the intercept method to grph lines....5 Unit 5 Intersection of two lines...6 Unit 6 Determining whether or not point lies on line...7 Unit 7 Using grphs to solve liner equtions...8 Topic Test CHAPTER Equtions Unit Solving equtions by inspection...2 Unit 2 One-step equtions (ddition nd subtrction)...22 Unit 3 One-step equtions (multipliction nd division)...23 Unit 4 Two-step equtions...24 Unit 5 Three-step equtions...25 Unit 6 Equtions with grouping symbols...26 Unit 7 Formule...27 Unit 8 Problem solving with equtions...28 Unit 9 Simple equtions with one frction Topic Test iv Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

6 CHAPTER 2 Resoning in geometry Unit Angles nd the vlue of the pronumerls...32 Unit 2 Prllel lines nd ngles...33 Unit 3 The ngle sum of tringle...34 Unit 4 Tringles nd the vlue of the pronumerls...35 Unit 5 The ngle sum of qudrilterl...36 Unit 6 Trnsformtions Unit 7 Congruence of plne shpes using trnsformtion...38 Unit 8 Recognising congruent figures...39 Unit 9 Recognising congruent tringles...40 Unit 0 Nming congruent tringles....4 Unit Tests for congruent tringles...42 Unit 2 Applying properties to solve numericl problems...43 Unit 3 More numericl problems...44 Topic Test CHAPTER 3 Probbility Unit The lnguge of probbility...47 Unit 2 Smple spce Unit 3 Outcomes Unit 4 Theoreticl probbility...50 Unit 5 Complementry events...5 Unit 6 Venn digrms Unit 7 Lnguge of t lest, exclusive or, inclusive or nd nd...53 Unit 8 Two-wy tbles...54 Topic Test EXAM PAPERS Exm Pper...68 Exm Pper Exm Pper Exm Pper ANSWERS Bsic rithmetic nd the clcultor...8 Percentges...8 Four opertions with integers...82 Indices...82 Rtionl numbers...83 Bsic lgebr Length, mss nd time...85 Are, volume nd cpcity...85 Circles...86 Liner reltionships...87 Equtions...89 Resoning in geometry...90 Probbility...90 Sttistics...9 Exm Ppers...92 CHAPTER 4 Sttistics Unit Review of bsic sttistics Unit 2 Collecting dt Unit 3 Types of smpling Unit 4 Clssifiction of dt...60 Unit 5 Clssificton of dt nd smple types...6 Unit 6 Men...62 Unit 7 Medin nd mode...63 Unit 8 Using the men, mode nd medin...64 Unit 9 Rnge...65 Topic Test Contents v Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

7 Introduction There re two workbooks in this series for the Yer 8 Austrlin Curriculum Mthemtics course: Excel Essentil Skills Yer 8 Mthemtics Revision & Exm Workbook (this book) nd Excel Essentil Skills Yer 8 Mthemtics Extension Revision & Exm Workbook. This book should be completed before the Extension book. It is the core book, written specificlly for the Yer 8 Austrlin Curriculum Mthemtics course nd the third in series of eight Revision & Exm Workbooks for Yers 7 to 0. Ech book in the series hs been specificlly designed to help students revise their work so tht they cn prepre for success in their tests during the school yer nd in their hlf-yerly nd yerly exms. The emphsis in this book is for students to mster nd consolidte the core skills nd concepts of the course through extensive prctice. This will ensure tht students hve solid foundtion on which to build towrds both the Mthemtics nd Advnced Mthemtics courses in senior yers. The following fetures will help students chieve this gol: Ü This book is workbook. Students write in the book, ensuring tht they hve ll their questions nd working in the sme plce. This is invluble when revising for exms no lost notes or missing pges! Ü Ech pge is self-contined, crefully grded unit of work; this mens students cn pln their revision effectively by completing set pges of work for ech section. Ü Every topic from the Yer 8 Mthemtics syllbus is covered in this book, so if students hve prticulr re of wekness they cn concentrte on tht topic. Ü A Topic Test is provided t the end of ech chpter. These tests re designed to help students test their knowledge of ech syllbus topic. Prctising tests similr to those they will sit t school will build students confidence nd help them perform well in their ctul tests. Ü Four Exm Ppers hve been included to test students on the complete Yer 8 Mthemtics course, helping students prepre for their hlf-yerly nd yerly exms. Ü A mrking scheme is included in both the Topic Tests nd Exm Ppers to give students n ide of their progress. Ü A Topic Test nd Exm Pper Feedbck Chrt, found on the inside bck cover, enbles students to record their scores in ll tests nd exms. Ü Answers to ll questions re provided t the bck of the book. Ü There is pge reference to the in the top right-hnd corner of ll pges, excluding the tests. If students need help with specific section, they will find relevnt explntions nd worked exmples on these pges of the study guide. A note from the uthor Mthemtics is best lerned if you hve pen nd pper with you nd do every question in writing. Do not just red through the book work through it nd nswer the questions, writing down ll working. If this pproch is coupled with menu of motivtion, relistic gol-setting nd positive ttitude, it will led to better mrks in the exmintions. My best wishes re with you; I believe this book will help you chieve the best possible results. Good luck in your studies! AS Klr, MA, MEd, BSc, BEd vi Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

8 Chpter Bsic rithmetic nd the clcultor UNIT : Approximtions nd rounding off Pges 2 5 Question Round off the following numbers to the nerest ten. 43 b 65 c 89 d 33 e 58 f 23 g 625 h 829 i 387 j 5672 k 965 l 6382 Question 2 Round off the following numbers to the nerest hundred. 763 b 530 c 248 d 236 e 5389 f 634 g 8935 h 637 i 8537 j 483 k 935 l 62 Question 3 Write the following decimls correct to one deciml plce b 0.8 c 9.67 d 3.62 e 0.9 f 6.05 g 8.36 h 9.47 i j 43.7 k l 55. Question 4 Express the following decimls correct to two deciml plces b c 9.66 d e f g h i j k l Question 5 Express the following correct to one significnt figure. 52 b c 89 d e f Question 6 Express the following correct to two significnt figures b 238 c d e f 8.63 g h i Chpter : Bsic rithmetic nd the clcultor Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

9 Bsic rithmetic nd the clcultor UNIT 2: Mixed opertions Pges 2 5 Question Use your clcultor to simplify the following = b = c = d = e 56 (8 + 3) = f (9 + ) 5 = g = h = i = j = k = l = m = n = o = Question 2 Use your clcultor to work out the following = b = c = d = e = f = g = h = i = j = k = l = Question 3 Clculte the following = b = c = d = e = f = Question 4 Use your clcultor to nswer the following = b (3.4.2) = c = d 5673 ( ) = e = f = g = h = i = Use the frction key on your clcultor to work out the following = b = c = Question 5 d = e = f = 2 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

10 Bsic rithmetic nd the clcultor UNIT 3: Squres, cubes nd powers Pges 2 5 Question Use the x 2 key to evlute the following. 5 2 = b 6 2 = c 5 2 = d 39 2 = e 65 2 = f 89 2 = g = h 2. 2 = i = j = k = l = Question 2 Use the x y key to find the nswer. 8 3 = b 4 3 = c 5 3 = d 6 3 = e 2 5 = f 7 4 = g 5 5 = h 2 9 = i 3 5 = j.2 3 = k = l 6 4 = m.5 4 = n = o.9 4 = Question 3 Clculte the following correct to two deciml plces = b.7 3 = c = d 9. 3 = e = f 5. 3 = g = h = i = j = k = l = Question 4 Evlute the following. (Leve your nswers in frction form.) = b 5 = c 4 = d = e 6 5 = f 8 2 = g = h 3 2 = i 4 2 = j = k 5 = l 2 3 = Chpter : Bsic rithmetic nd the clcultor 3 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

11 Bsic rithmetic nd the clcultor Pges 2 5 UNIT 4: Squre roots nd cube roots Question 9= d Use the squre root key on your clcultor to simplify the following. b 25 = c 36 = 2 = e 69 = f 225 = g = h = i 4 6 = j = k = l = m = n = o 484 Question 2 2 = Use the cube root key on your clcultor to evlute the following. 3 8= b 3 64 = c 3 27 = d = e = f 3 26 = g = h = i = j = k 8 25 = l = 3 3 Question 3 d 3 g d 3 b = =.2 = c 4 e = f = h = i b = e 5 3 = 3 = c 83 = f = h = j = 7 k = n = = Use your clcultor to simplify the following correct to two deciml plces. g m 3 Use your clcultor to simplify the following correct to one deciml plce. Question = Pscl Press ISBN = = 82 = = i = 3 l = o = Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

12 Bsic rithmetic nd the clcultor UNIT 5: Problem solving nd the clcultor Pges 2 5 Find the perimeter of squre with side length Clculte the volume of cube with side length A rectngulr prism hs sides 9,.2 nd 2.. Find its volume. 4 A cube hs volume of Find the length of ech side of the cube. 5 Write correct to the nerest thousnd. 6 How mny 20-mL bottles could be filled from -litre continer of fluid? 7 How much would 32 books cost if one book costs $25.95? 8 Find the cost of 25 pens t $5.95 ech. 9 Find the cost of 2.5 kg of lmb t $8.95 kilogrm. 0 In clss of 32 students, 3 4 trvel to school by bus. How mny students trvel by bus? Find the sum of 5.09, 23.7, 8.5 nd then subtrct Divide $5673 eqully mong three people. 3 Find the verge of 3.85, 8.67, 6.93 nd Find the squre root of Find the cube root of 3 2 correct to two deciml plces. 6 How mny 25-cent stickers cn we buy for $39.75? 7 If litre of petrol costs 70.9 cents, wht is the cost of 43 litres? 8 Find the vlue of correct to two deciml plces. 2 9 Use your clcultor to evlute (4.5) 2 correct to three deciml plces. 20 Cork tiles cost $55 per squre metre nd re sold only by the squre metre. How much would I py for sufficient tiles to cover the floor of squre room of side 4.95 m? Chpter : Bsic rithmetic nd the clcultor 5 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

13 Bsic rithmetic nd the clcultor TOPIC TEST PART A Instructions This prt consists of 2 multiple-choice questions. Fill in only ONE CIRCLE for ech question. Ech question is worth mrk. Time llowed: 5 minutes Totl mrks: 2 Evlute A 74 B 434 C 0 D Wht is the vlue of ? A B C 2 D equls: A 7.2 B 27.2 C 27.2 D equls: A 600 B 2000 C 800 D equls: A B C D (0.5) 2 (0.2) 2 equls: A 0.25 B 0.24 C 0.2 D equls: A 5 B 6 C 7 D 4 8 Adrin s pocket money is $25.75 ech month. How much would he receive in 2 months? 9 A $309 B $350 C $450 D $ equls: A 8 B 9 C 2 9 D equls: A 9.8 B 9.9 C 9.08 D none of these Wht is the number 6546 rounded to the nerest hundred? A 7000 B 6600 C 6550 D Pper clips cost 40 cents per 00. How mny pper clips would $20 buy? A 50 B 500 C 5000 D none of these Mrks Totl mrks chieved for PART A 2 6 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

14 Bsic rithmetic nd the clcultor TOPIC TEST PART B Instructions This prt consists of 5 questions. Ech question is worth mrk. Answer ech question in the spce provided. Time llowed: 20 minutes Totl mrks: 5 Mrks Simplify the following correct to two deciml plces Simplify the following correct to one deciml plce ( ) (8.5) Totl mrks chieved for PART B 5 Chpter : Bsic rithmetic nd the clcultor 7 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

15 Percentges Chpter 2 UNIT : The mening of percentge Pges 26 4 Question Complete the following sentences. 30% mens 30 out of. b 80% mens 80 out of. c 7% mens 7 out of. d A percentge is ctully frction with denomintor of. e The symbol for per cent is nd it mens out of. Look t the digrm on the right. Wht percentge is shded? Question 2 b Wht percentge is unshded? Question 3 If 65% of digrm is shded, how much is unshded? b If 58% of digrm is shded, how much is unshded? c If 3% of digrm is shded, how much is unshded? Question 4 In grids of 00 squres, wht percentge is unshded when the following percentges re shded? 25% b 20% c 0% d 67% e 89% f 5% g 64% h 78% i 9% Question 5 Work out the following subtrctions. 00% 32% = b 00% 47% = c 00% 9% = d 00% 69% = e 00% 37% = f 00% 77% = Question 6 Add the following percentges. 30% + 47% = b 80% + 5% = c 60% + 0% + 7% = d 2% + 27% + 42% = Questions 7 If 2% of the students re wy from the clss, wht percentge of students re present? b In clss spelling test if Jmes got 86% of the words correct, wht percentge of the words did he spell incorrectly? 8 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

16 Percentges UNIT 2: Chnging percentges to frctions Pges 26 4 Question Express the following percentges s frctions in simplest form. 50% = b 40% = c 30% = d 0% = e 20% = f 60% = g 70% = h 80% = i 25% = j 75% = k 85% = l 00% = m 7% = n 90% = o 95% = p 49% = q 9% = r 23% = Question 2 Express the following percentges s frctions in simplest form. 2.5% = b 8.2% = c 4.5% = d 36.5% = e 3.5% = f 27.5% = g 84.5% = h 40.2% = i 62.5% = j 0.5% = k 22.5% = l 0.8% = m 0.5% = n 8.5% = o 8.3% = p 9.25% = q 40.5% = r 65.5% = Question 3 d Chnge the following percentges to frctions in simplest form. 2 % = b 3 % = c 4 % = 8 % = e 22 2 % = f 52 2 % = g 5 2 % = h 33 3 % = i % = j 8 2 % = k 5 2 % = l 2 2 % = m 0 2 % = n 25 2 % = o 35 2 % = p 85 2 % = q 5 2 % = r 20 4 % = Question 4 Convert the following to frctions in simplest form. 38% = b 56% = c 62% = d 25 3 % = e 2 4 % = f 3 4 % = g 9.5% = h 8.6% = i 4.8% = j 3.7% = k 6.9% = l 5.2% = m 42% = n 55% = o 72% = Chpter 2: Percentges 9 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

17 Percentges UNIT 3: Chnging frctions to percentges Pges 26 4 Question Express the following frctions s percentges = b = c = d = e = f = g = h = i = j = k 6 00 = l = Question 2 Express the following frctions s percentges. 5 0 = b 6 0 = c 7 0 = d 4 5 = e 6 20 = f 9 50 = g 9 25 = h 7 25 = i 7 50 = Question 3 Chnge the following frctions to percentges. 3 4 = b 5 80 = c 3 20 = d 7 60 = e 2 8 = f 7 40 = g 9 60 = h 3 5 = i 4 80 = Question 4 Express the following s percentges. 3 8 = b 5 9 = c 5 8 = d 7 = e 5 2 = f 3 = 0 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

18 Percentges UNIT 4: Chnging percentges to decimls Pges 26 4 Question Express the following percentges s decimls. 0% = b 80% = c 30% = d 50% = e 40% = f 60% = g 20% = h 70% = i 90% = j 00% = k 5% = l 65% = Question 2 Chnge the following percentges to decimls. 6% = b 9% = c 39% = d 2% = e 6% = f 56% = g 4% = h 73% = i 67% = j 98% = k 8% = l 78% = m 62% = n 43% = o 49% = Question 3 Convert the following percentges to decimls. 5% = b 2% = c 8% = d 9% = e 6% = f 7% = g 3% = h % = i 4% = j.5% = k 2.5% = l 3.3% = m 2.% = n.7% = o 4.9% = Question 4 Chnge the following percentges to decimls. 45.5% = b 89.2% = c 57.4% = d 63.9% = e 63.2% = f 36.5% = g 53.8% = h 92.7% = i 69.7% = j 23.7% = k 5.8% = l 2.3% = Question 5 Express the following percentges s decimls % = b 5 6 % = c 3 8 % = d 2 % = e % = f 2 2 % = g 9 4 % = h % = i 7 9 % = Chpter 2: Percentges Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

19 Percentges UNIT 5: Chnging decimls to percentges Pges 26 4 Question Express the following decimls s percentges. 0.5 = b 0.25 = c 0.35 = d 0.95 = e 0.4 = f 0.85 = g 0.8 = h 0.55 = i 0.7 = j 0.45 = k 0.67 = l 0.65 = m 0.9 = n 0.75 = o 0.72 = Question 2 Express the following decimls s percentges = b 0.60 = c 0. = d 0.50 = e 0.90 = f 0.2 = g 0.70 = h 0.4 = i 0.3 = j 0.0 = k 0.02 = l 0.05 = m 0.04 = n 0.06 = o 0.03 = Question 3 Express the following decimls s percentges = b = c = d 0.89 = e = f 0.39 = g = h = i = j 0.29 = k 0.86 = l = m = n = o = Question 4 Express the following decimls s percentges = b 0.90 = c = d = e = f = g 0.80 = h = i 0.02 = j = k = l = m = n = o = Question 5 Express the following decimls s percentges..20 = b 2.50 = c 3.60 = d 2.56 = e.3 = f 3.57 = g 8.25 = h 3.4 = i 5.63 = j 2.84 = k 5.34 = l 8.3 = m 5.27 = n 8.03 = o 2.06 = 2 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

20 Percentges UNIT 6: Finding percentge of quntity Pges 26 4 Question Evlute the following. 0% of 300 = b 20% of 5000 = c 30% of 900 = d 40% of 630 = e 50% of 580 = f 75% of 840 = g 25% of 370 = h 35% of 44 = i 5% of 20 = j 60% of 225 = k 70% of 890 = l 00% of 79 = m 45% of 25 = n 80% of 830 = o 85% of 369 = p 65% of 000 = Question 2 Work out the following. % of 48 = b 8.5% of 04 = c 2.5% of 36 = d 3.4% of 230 = e 6.9% of 83 = f 45.6% of 456 = g 4.3% of 55 = h 72.5% of 935 = i 62.5% of 890 = j 36.5% of 830 = k 2.5% of 88 = l 87.5% of 20 = m 37.5% of 20 = n 92.25% of 560 = o 33 3 % of 80 = p 6.5% of 720 = Question 3 Clculte the following. 7% of 500 = b 64% of $350 = c 9% of 67 = d 8.5% of 366 dys = e 5 2 % of 840 = f 2.5% of $80 = g 5% of $20 = h 30% of 4 kg = i 40% of $2 = j 400% of 30 = k 25% of 800 g = l 25% of $82 = m 5% of $200 = n 42% of $20 = o 90% of 50 = p 7% of 400 = Chpter 2: Percentges 3 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

21 Percentges UNIT 7: Incresing or decresing by given percentge Question Increse the following by the given percentge. $45 by 30% = b $8000 by 5% = c $80 by 45% = d $3000 by 60% = Pges 26 4 e $350 by 20% = f $750 by 35% = g 900 g by 40% = h 50 min by 20% = i 400 kg by 60% = j 240 L by 50% = k 36 h by 00% = l 80 t by 75% = m $648 by 25% = n $ by 6% = o $99.95 by 5% = p $49.90 by 2 2 % = q 80 h by 20% = r 600 by 70% = Question 2 Decrese the following by the given percentge. $63 by 9% = b $84 by 32% = c 4 m by 35% = d 260 L by 24% = e $930 by 0% = f $6354 by 20% = g $34 by 25% = h $575 by 30% = i $ by 5% = j $ by 50% = k 48 h by 25% = l $840 by 70% = m $365 by 5% = n $960 by 45% = o $96 by 40% = p $60.50 by 80% = q $940 by 28% = r $620 by 35% = Question 3 Bill bought block of lnd for $ b Nthn erns $500 week. Clculte his new If the vlue of the lnd rose by 80%, find the weekly wge if he receives py rise of 20%. new vlue. c The price of new cr is $ nd fter d A shirt priced t $30 ws sold t discount of 25%. yer it decreses in vlue by 20%. Find the Find the sle price. new vlue of the cr. 4 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

22 Percentges UNIT 8: Expressing quntities s percentges Pges 26 4 Question Express 20 s percentge of 200. b Express 2 s percentge of 30. c Express 36 s percentge of 63. d Wht percentge is 40 of 2? e Wht percentge is 28 of 77? Question 2 Wht percentge is: 20 of 80? b 60 of 240? c 4 of 35? d 5 of 60? e 28 of 56? f 4 of 42? g 9 of 52? h 8 of 90? i 0 of 440? j 0c of $2? k 25c of $3? l 63 of m? m 6 h of dy? n 225 ml of 3 L? Question 3 In the following, wht percentge is the first quntity of the second? 2 m, 6 m b 8 s, 48 s c 2 kg, 90 kg d 6 L, 300 L e 30 ml, 50 ml f 25 g, 500 g g 70 m, 20 m h 80 min, 320 min i 36 s, 2 min j 30, 3 m k 8 h, 3 dys l $2, 500c m 240 g, 6 kg n 32 kg, 2 t o 300, 3.6 m p 8 min, 2 h Question 4 Wht percentge is: 50c of $6? b $2.50 of $0? c 28 min of 3 h? d 750 ml of 6 L? e 650 m of 4 km? f $3.50 of $4? g 70c of $3.50? h $5 of 50c? i 2 mm of 60? j $7.50 of $30? k 45 of 8? l 5 s of 50 s? m 600 g of 8 kg n 65 min of 4 3 h? Chpter 2: Percentges 5 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

23 Percentges UNIT 9: Unitry method nd percentges Pges 26 4 Question If 50% of number is 32, wht is the number? b Find the totl cost if 60% of it is $90. c If 8% of number is 9, wht is the number? d If 50% of number is 60, wht is the number? Question 2 Use the unitry method to solve the following. If 20% of number is 32, wht is the number? b If 0% of number is 63, wht is the number? c If 5% of number is 360, wht is the number? d If 48% of number is 336, wht is the number? Question 3 Find 00% of number if prt of it is given. 40% is 80; 00% = b 20% is 92; 00% = c 25% is 20; 00% = d 5% is 60; 00% = e 50% is 70; 00% = f 75% is 450; 00% = g 5% is 83; 00% = h 45% is 9; 00% = i 2% is 94; 00% = j 8% is 34; 00% = k 6% is 46; 00% = l 2 2 % is 230; 00% = Question 4 If 33 3 % of number is 9, find the number. b John s income incresed by 3%. If his income c Alku receives 5% increse in her weekly wge. rose by $645, find his previous income. If the increse is $75, find her new weekly wge. d The price of block of lnd incresed by 20%. e Hri spends 40% of his weekly income on rent. If this increse ws $28 000, wht ws the If his rent is $220, find his income. new price? f When n mount is incresed by 20% it g The popultion of smll town decreses by 8% becomes $65. Wht is the originl mount? every yer. If this yer s popultion is 4600, wht ws the popultion lst yer? 6 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

24 Percentges UNIT 0: Commission Pges 26 4 Question Robert works for compny nd gets commission of 9% on ll sles. How much commission will he receive in week in which his sles totl $27 000? Question 2 Joshu is cr sles representtive nd is pid retiner (bsic wge) of $600 per week nd commission of 5% on ll sles mde. Find his weekly income in week in which he sells cr to the vlue of: $ b $ Question 3 Imogen is slesperson nd erns $350 week plus 5 2 % commission on sles. Her weekly sles totl is $ Wht is her: commission? b totl ernings for the week? Question 4 Mx is rel estte gent nd receives 2% commission on the first $ nd.5% on the vlue therefter. Find his commission for selling property worth $ Question 5 Ktie sells cosmetics nd is pid 2.5% on ll sles. Wht is her income if she sells $5870 worth b How much would she need to sell of cosmetics in week? to hve n income of $050? Chpter 2: Percentges 7 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

25 Percentges UNIT : Discounts Pges 26 4 Question Nme of the item bought Complete the following tble. Mrked price Percentge discount chir $560 0% clcultor $45 20% textbook $64 8% e-reder $30 5% computer $950 5% study lmp $40 25% Discount in dollrs Sle price Question 2 A study desk with mrked price of $680 is discounted by 2%. Wht is the: discount? b sle price? Question 3 Christin spent $235 fter getting discount of $65 on new wtch. Wht ws the price of the wtch before b Wht percentge discount ws given? the discount? Question 4 A trcksuit tht usully costs $248 is reduced by 2 2 %. Wht is the: discount? b sle price? Steph pid $78 fter receiving discount of 5% on pir of shoes. How much did the shoes cost before the discount? b How much money did she sve? Question 5 Question 6 A dinner set ws discounted by 45% nd sold for $836. How much did the set cost before the discount? b How much ws the discount? 8 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

26 Percentges UNIT 2: Profit nd loss Pges 26 4 Question Jmes bought some shres for $2540 nd sold them for $3200. Find: his profit on the sle b his profit s percentge of the cost price c his profit s percentge of the selling price Question 2 Nncy bought cr for $ nd sold it to Dvid t loss of 40% fter it ws involved in n ccident. Dvid repired it nd then sold it, mking profit of 50% on his purchse price. How much did Dvid py for the cr? b For how much did Dvid sell the cr? Question 3 A book is sold for $56.80 including 0% GST. How much GST is chrged? b Wht is the selling price of the book without GST? Question 4 A bicycle is on sle for $450. This is 75% of the regulr price. Wht is the regulr price? Chpter 2: Percentges 9 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

27 Percentges UNIT 3: Problem solving nd percentges Pges % of some mrbles re red nd 8% re blue. 2 Of 80 crs, 45% re white. How mny of The rest re green. Wht percentge of the the crs re white? mrbles re green? 3 Out of 060 students, 30% were bsent. How 4 02 out of 20 cows hve clves. Wht percentge mny of the students were bsent? of the cows hve clves? 5 If 6% of mss is 80 kg, find the totl mss. 6 $500 is incresed by 0% nd this result is then decresed by 0%. Wht is the finl result? 7 A cr bought for $2500 is sold for $2000. Wht 8 A slesmn sold goods worth $ Find the is the loss s percentge of the cost price? commission he gined on the sle if the first $0 000 sles erned 7% nd the mount sold bove $0 000 erned 9%. 9 Find the simple interest on $2000 for yer 0 Find the simple interest on $3560 for t 9.5% per nnum. 3 yers t 8 4 % p.. Find 55% of $640 nd dd it to 45% of $50. 2 In n exmintion, 90% of clss of 30 students pssed. How mny students filed? 3 A discount of 35% will be llowed on cot priced t $70. Wht price will be pid for the cot? 4 Of the 960 students t school, 5% re in Yer 8. How mny students re in Yer 8? b There re 8 boys in Yer 8. Wht percentge of Yer 8 students re boys? 20 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

28 Percentges TOPIC TEST PART A Instructions This prt consists of 2 multiple-choice questions. Fill in only ONE CIRCLE for ech question. Ech question is worth mrk. Time llowed: 5 minutes Totl mrks: expressed s percentge is: A 0.007% B 0.7% C 7% D 70% 2 An item is bought for $80 nd sold for $20. Wht is the percentge profit on the cost price? A 40% B 30% C 60% D 50% 3 8% of number is 27. Wht is the number? A 50 B 200 C 250 D Which deciml does 4 2 % equl? A 0.42 B 0.45 C D Ted pys $60 fter receiving discount of 20%. Wht is the norml price? A $63 B $72 C $75 D $ % equls: A 3 B 3 0 C 3 00 D At roll cll, there were 4 students bsent nd 2 present. Wht percentge of the roll clss ws bsent? A 6% B 9% C 25% D 84% 8 A cr ws bought for $6000 nd sold t profit of 30%. Wht ws its selling price? A $800 B $4200 C $6200 D $ The price of tyre is reduced from $80 to $72. Wht is the percentge discount? A 8% B 0% C % D 90% 0 Wht percentge is $3 of $20? A 0% B 2% C 5% D 8% If 20 is 20% of number, wht is the number? A 24 B 96 C 480 D p% of $q is: A $pq B $ p+q 00 C $00pq D $ pq 00 Mrks Totl mrks chieved for PART A 2 Chpter 2: Percentges 2 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

29 Percentges TOPIC TEST PART B Instructions This prt consists of 5 questions. Ech question is worth mrk. Answer ech question in the spce provided. Time llowed: 20 minutes Totl mrks: 5 Mrks Find 37% of $ Increse 260 kg by 0% nd then decrese the result by 0%. 3 Write 7 2 s percentge correct to two deciml plces. 4 If 5% of n mount is $40, wht is the totl mount? 5 After 25% of bill hs been pid, $80 still remins to be pid. How much ws the bill? 6 A concrete mixture contins one prt cement, two prts snd nd three prts grvel. Wht percentge of the mixture is snd? 7 Express 700% s frction. 8 Find the simple interest on $800 t 9% p.. for yer. 9 Express 52 s percentge of Find 00%, given tht 40% is 98. Dvid pys 28% of his income in tx. If he pys $4 200 income tx, wht is his income? 2 A gme is bought for $69.50 nd sold for $ Wht is the gin s percentge? 3 Ed erns 8% commission on ll his sles. Find his commission when his sles totl $ $4800 is invested in fund giving 2% interest per yer. How much interest is received for 5 yers? 5 The price of television is reduced by 8% to $722. Wht ws the originl price? Totl mrks chieved for PART B 5 22 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

30 UNIT : Addition of integers Chpter 3 Four opertions with integers Pges 6 7 Question Find the sum of the following (use number line if necessry) = b = c = d = e = f = g = h = i = Question 2 Find ech sum = b = c = d = e = f = g = h = i = Question 3 Add the following = b = c = d = e = f = g = h = i = Question 4 Find the nswers to these dditions = b = c = d = e = f = g = h = i = Question 5 Find the vlues of the following = b = c = d = e = f = g = h = i = Question 6 Find the missing number. 2 + = 2 b + 3 = 2 c = d 6 + = 9 e = f 8 + = 7 g 5 + = 29 h ( 8) + 4 = i 9 + = Chpter 3: Four opertions with integers 23 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

31 Four opertions with integers UNIT 2: Subtrction of integers Pges 6 7 Question Find the nswers for the following questions. 6 2 = b 8 3 = c 9 6 = d 9 = e 7 5 = f 8 0 = g 8 5 = h 6 6 = i 25 8 = Question 2 Complete these subtrctions (use number line if necessry). 3 2 = b 28 3 = c 9 4 = d 5 3 = e 8 4 = f 82 5 = g 9 4 = h 56 2 = i 5 6 = Question 3 Find ech difference. 7 4 = b 8 2 = c 0 3 = d 5 3 = e 6 4 = f 9 3 = g 0 7 = h 2 8 = i 7 2 = Question 4 Find the nswers for the following subtrctions. 4 3 = b 5 3 = c 5 2 = d 6 2 = e 7 6 = f 8 3 = g 8 24 = h 6 4 = i 0 5 = Question 5 Find the vlues of the following. 8 8 = b 8 4 = c 56 3 = d 7 9 = e = f 5 2 = g 7 7 = h 6 6 = i 9 2 = Question 6 Simplify the following. 8 2 = b 5 2 = c 5 7 = d 8 6 = e 5 9 = f 5 3 = g 9 9 = h 7 0 = i 6 5 = 24 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

32 Four opertions with integers UNIT 3: Multipliction of integers Pges 6 7 Question Multiply the following. 5 2 = b 2 7 = c 5 0 = d 8 3 = e 2 6 = f 2 8 = g 6 9 = h 6 5 = i 3 4 = Question 2 Work out the following. 3 2 = b 5 3 = c 2 9 = d 5 8 = e 4 = f 6 7 = g 9 3 = h 9 7 = i 40 9 = Question 3 Find the nswers to the following. 3 2 = b 4 3 = c 5 = d 5 9 = e 6 = f 7 20 = g 3 8 = h 3 9 = i 4 5 = Question 4 Simplify. 3 7 = b 4 6 = c 8 4 = d 2 2 = e 3 5 = f 5 2 = g 6 0 = h 4 8 = i 6 8 = Question 5 Find ech product = b 6 3 = c = d = e = f = g 6 8 = h = i = Question 6 Complete the following tbles. 7 4 b c Chpter 3: Four opertions with integers 25 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

33 Four opertions with integers UNIT 4: Division of integers Pges 6 7 Question Divide the following = b 42 6 = c 54 9 = d 36 9 = e 28 7 = f 2 3 = g 6 8 = h 55 5 = i 48 8 = Question 2 Work out the following divisions. 2 2 = b 24 8 = c 5 5 = d 20 4 = e 45 5 = f 28 7 = g 8 9 = h 20 0 = i 2 3 = Question 3 Simplify the following = b 24 6 = c 36 2 = d 27 9 = e 63 7 = f 5 5 = g 33 = h 36 3 = i 27 3 = Question 4 If = 2, b = 4, c = 8 nd d = 24, find the vlue of: d b b b c d c d b c e bc f d b g 2 b h b 2 c i d b 2 Question 5 Fill in ech missing number. 48 = 8 b 50 = 0 c 36 = 4 d 5 = 7 e 49 7 = f 0 = 8 g = h 6 = 4 i 96 = 96 Question 6 Simplify the following b c d e f g h i Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

34 Four opertions with integers UNIT 5: Mixed questions Pges 6 7 Question Find nswers to the following. 2 4 = b = c = d 3 7 = e 2 8 = f = g 4 3 = h = i 5 2 = Question 2 Find the vlue of the following. 4 8 = b 6 8 = c 54 6 = d 3 7 = e 7 = f 56 7 = g = h 00 4 = i = Question 3 Work out the following = b 3 5 = c 0 2 = d 0 2 = e 5 3 = f 2 4 = g = h = i 8 8 = Question 4 Simplify the following. (3 + 4) 2 = b 5 (4 5) = c ( 6 + 4) 8 = d = e = f = g (5 + 5) 38 = h ( 2 5) 7 = i ( 4 + 2) 2 = Question 5 Fill in ech missing number. 9 + = 7 b 7 = 6 c 2 = 3 d 2 = 00 e + 8 = 3 f 9 = g 8 = 9 h 4 = 5 i + 6 = 2 Question 6 Complete the following tbles b Chpter 3: Four opertions with integers 27 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

35 Four opertions with integers UNIT 6: Indices Pges 6 7 Question Evlute the following. 2 3 = b 5 2 = c 3 3 = d 3 2 = e 4 2 = f ( ) 2 = g 5 3 = h 8 2 = i ( ) 3 = j 4 3 = k ( 2) 3 = l ( ) 4 = m 2 5 = n ( 3) 4 = o ( 2) 4 = p ( 3) 4 = q 5 2 = r ( 5) 3 = Question 2 Evlute the following. ( ) 0 = b ( 5) 4 = c ( 5) 3 = d ( ) 5 = e ( 2) 5 = f 2 ( 4) 2 = g ( ) 99 = h ( 0) 3 = i ( 8) 2 = j ( 6) 3 = k ( 2) 6 = l 4 ( 3) 3 = m (9) 2 = n (7) 3 = o ( 2) 2 ( 5) 2 = p ( 4) 3 = q (3) 4 = r 6 ( 3) 3 = Question 3 Clculte the following. ( 2) 3 ( 3) 2 = b ( 9) 2 ( 4) = c ( 4) 3 + ( ) 2 = d ( 5) 2 = e ( 5) 2 + ( 0) 2 = f ( 8) 2 (2) 5 = g ( ) 5 + ( 3) 3 = h ( 7) 2 ( ) 3 = i ( 5) = j 8 2 ( 2) 4 = k ( 3) 4 ( 5) 2 = l ( 6) 2 ( 2) 3 = m 7 2 ( 3) 2 = n ( 2) 3 = o ( 0) = p ( 2) 2 + ( 2) 3 = q ( 2) 4 + ( 3) 3 = r 8 3 ( 2) 5 = Question 4 Evlute the following = b ( 4) = c ( 3) = d 4 ( 2) ( ) 4 = e ( 0) = f = g ( 0) 2 = h ( 5) = i ( 0) 2 ( 0) 3 = j 6 ( 0) 3 ( ) 5 = k ( 8) = l ( 5) 3 + ( 3) 2 = m ( 9) = n 3 ( 4) ( 2) 4 = o ( 6) 3 ( 5) 2 = p ( 3) ( ) 2 = q ( 0) 3 + ( 0) 2 ( 2) 6 = r 5 ( 0) 2 0 = 28 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

36 Four opertions with integers UNIT 7: Order of opertions Pges 6 7 Question Follow the correct order of opertions when finding nswers to these b c d e f g h i j k l Question 2 Remove the grouping symbols nd simplify. ( 5 + 8) 2 b (3 7) (2 5) c 8 + (7 3) 2 d 2 ( 7 + 2) e 56 2 (5 9) f ( 6 + 4) ( 5 + ) g ( 3 + 9) ( 2 3) h 36 ( 4 6) i ( ) Question 3 Find nswers to the following. [(2 5) (3 4)] 3 b 9 [6 (5 8)] c [4 + (2 7) 3] ( 2 + 7) d 2 ( 9 + 4) 3 2 e [(5 + 8) (3 4) + 6] f 72 ( 3 + 9) 56 ( 2 6) g [3 + 2 ( 2 + 8)] 5 h [ (2 + 3) 7] 2 i 3 [6 (4 7) ( 2 + )] Question 4 Insert grouping symbols to mke these sttements correct = 2 b = 2 c = 30 d = 3 e = 2 f = 5 g = 66 h = 5 i = 4 Chpter 3: Four opertions with integers 29 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

37 Four opertions with integers UNIT 8: Problem solving with integers Pges 6 7 The temperture ws 3. It rose 7 in n hour. 2 Disy trvelled 8 km est nd then 5 km west. Wht ws the temperture t the end of Where did Disy end up reltive to her the hour? strting point? 3 Adelide is 35 south of the equtor nd Tokyo 4 Wht negtive number is both greter thn 6 is 35 north of the equtor. How mny degrees nd divisible by 4? re between Adelide nd Tokyo? 5 After it ws born, bby gined 2.5 kg. Then = 9. Which other number multiplied by itself it lost 3.5 kg. Wht ws the bby s weight then, gives 9? compred to its birth weight? 7 Chrlie owes $3250 on his credit crd. He pys $500 off the bill. How much does Chrlie owe now? b Then Chrlie buys lptop for $795 using his credit crd. How much does Chrlie now owe? 8 Wht is the combined effect of profit of 9 Find the two numbers whose sum is 8 nd $7 000 followed by loss of $20 000? product is 5. 0 A spider is climbing wll. It climbs up 5, Jke hd $864 in the bnk. He put nother $56 in the flls bck 3, climbs up nother 4, flls bnk nd then withdrew $345. How much money bck 6 nd climbs up nother 5. How does Jke now hve in the bnk? fr up the wll is the spider from its strting point? 2 The temperture fell 5 degrees during the dy 3 Two numbers dd to 4 but multiply to 2. nd nother 8 degrees during the night. Wht Wht re the numbers? ws the totl chnge in temperture? 4 Which of the integers, 5, 7, 9, 6, is closest 5 Strt with 2, subtrct 5 nd multiply the result by 6. to zero on the number line? Wht is the nswer? 30 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

38 Four opertions with integers TOPIC TEST PART A Instructions This prt consists of 2 multiple-choice questions. Fill in only ONE CIRCLE for ech question. Ech question is worth mrk. Time llowed: 5 minutes Totl mrks: equls: A 2 B 2 C 8 D equls: A 3 B 3 C D 3 Which is equl to 4? A 6 4 B 20 5 C 32 8 D 4 Wht is the sum of 4 nd 5? A B C 9 D equls: A 7 B 7 C 5 D equls: A 60 B 60 C 2 D equls: A 50 B 50 C 28 D 32 8 Wht is the product of 2 nd 3? A 5 B 5 C 6 D 6 9 ( 4) 2 equls: A 8 B 8 C 6 D equls: A 2 B 2 C 2 D equls: A 20 B 20 C 60 D 60 2 ( 7 + 3) (2 6) equls: A 6 B 32 C 40 D Mrks Totl mrks chieved for PART A 2 Chpter 3: Four opertions with integers 3 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

39 Four opertions with integers TOPIC TEST PART B Instructions This prt consists of 5 questions. Ech question is worth mrk. Answer ech question in the spce provided. Time llowed: 0 minutes Totl mrks: 5 Mrks 6 5 = 2 9 ( 4) = ( ) = = = = = 8 ( 0) 3 = = = ( 8) + ( 4 3) = = 3 (6 0) ( 4 3) = 4 3 [ 36 ( 3 6)] = 5 At 6 m the temperture ws 3 C. By 9 m it hd risen 5 C. Wht ws the temperture t 9 m? Totl mrks chieved for PART B 5 32 Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

40 Indices UNIT : Index nottion Chpter 4 Pge 5 Question Write the following in expnded form. 2 4 = b 5 2 = c 7 3 = d 6 5 = e 0 6 = f 3 9 = g 2 7 = h 7 8 = Question 2 Write in index form = b = c = d = e = f = g = h = Question 3 Evlute the following. 2 4 = b 3 3 = c 2 = d 5 3 = e 3 2 = f 0 5 = g 6 3 = h 2 6 = i 3 4 = Question 4 Write the following in index form. 25 = b 8 = c 0000 = d 36 = e 32 = f 49 = g = h 9 = i 26 = Question 5 Write in expnded form = b = c = d = e = f = Question 6 40 = Write ech number s the product of its prime fctors, giving the nswer in index form. b 48 = c 72 = d 225 = e 324 = f 486 = g 568 = h 300 = Chpter 4: Indices 33 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

41 Indices UNIT 2: Index lws: multipliction with indices Pge 5 Question Simplify the following, writing your nswers in index form = b = c = d = e = f = g = h 2 2 = i = j = k = l = Question 2 Simplify the following, writing your nswers in index form = b = c = d = e = f = g = h = i = j = k = l = Question 3 Simplify the following = b = c = d = e = f = g = h = i = j = k = l = Question 4 Simplify the following = b = c = d = e = f = g = h = i = j = k = l = Question 5 Simplify the following = b = c = d = e = f = g = h = i = j = k = l = Question 6 Find the missing term in ech of the following. 5 7 = 5 0 b 5 6 = 5 9 c 7 4 = 7 d 8 3 = 8 5 e 4 5 = 4 8 f 8 4 = 8 5 g 3 2 = 3 9 h 3 2 = 3 3 i 9 2 = 9 6 j 6 2 = 6 8 k 7 4 = 7 7 l 7 2 = Excel ESSENTIAL SKILLS Yer 8 Mthemtics Revision & Exm Workbook Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8

42 Indices UNIT 3: Index lws: division with indices Pge 5 Question Simplify the following, writing your nswers in index form = b = c = d = e = f = g = h = i = j = k 7 = l = Question 2 Simplify the following, writing your nswers s bsic numerls = b = c = d = e = f = g = h = i = j = k = l = Question Simplify the following, writing your nswers in index form. 3 = b = c = d = e i = f = j Question 4 Simplify the following = g = k = h = l = = = b = c = d = e = f = g = h = i = j = k = l = Question 5 Simplify the following = b = c = d = e = f = g = h = i ( ) = j ( ) = k ( ) = l ( ) = Question 6 Find the missing term in ech of the following. 5 9 = 5 4 b 5 4 = 5 8 c 8 2 = 8 7 d 3 = 3 6 e = f = g 8 6 = 8 2 h 6 2 = 6 7 i 4 8 = 4 6 j = k 5 2 = 5 6 l = Chpter 4: Indices 35 Pscl Press ISBN Excel Essentil Skills Mthemtics Revision & Exm Workbook Yer 8