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9 a) 5 7 b) 10 3 c) 8 2d) 2 6 e) 3 310 a)1_5b)1_8 c) 8d) 10 e) 0.625 or 5_8Chapter 2Exercise 2.1 (page 24)1 a) 9, 7_7_3_b) 24, c) 40,9 8 82 a)7_9 b) __ 711 c) 1_35d) __13 e) 5_6 f) 1 1_8g)1_3 h) 1 3_ i) 31_52j) 21_4 k) 4 1_9 l) 2 6_73 a)7_8 b) 7_9 c) __ 712d)1_4 e) 1 __ 310 f) 1 __ 132813g) __18 h) 1 1_2 i) 1 __ 131823j) __30 k) __ 1336 l) __ 394074 a) 5 __10 b) 3 1_8 c) 4 __ 11141d) 3 __12 e) 7 3_8 f) 4 __ 71211g) 7 __18 h) __ 126 i) 6 __ 12113j) 5 __20 k) 1 __ 1114 l) 5_6Exercise 2.2 (page 29)1 a)d)g)2 a) 22_5d) 43___ 194 b) __ 173 c) __ 132__ 218 e) __ 237 f) __ 1712__ 17__6 h) 6211b) 41_2 c) __ 2158 e) __ 521 f) 933 a) __16 b) __ 427 c) __ 524d) 13_8 e) 1 3_ f) __ 155284g) __27 h) 7_8 i) __ 2027j) 15_9 k) 5 1_3 l) __ 73274 a) 7 __10 b) 2 1_7 c) 1 4_717d) __40 e) 8 2_ f) 1 __ 9514g) 10 h) 31_3 i) 7 5_7j) 22_ k) 181_52 l) 1 __ 1039Exercise 2.3 (page 33)1 a)2 a)__ 1321 b) __ 720 c) __ 522__ 7e) 5 __ 131514 f) 1 __ 11127 h) 3 __ 9442_ b)5_58 c) __ 715__ 716 e) 1_9__ 1__ 11__d) 1g) 126_d)3 a) 2 b) 71517 c) 4 1315d) 44_ e) 8 __ 35134 a) 205_6 cm b) 24 3_4 cm2Exercise 2.4 (page 34)1 a) 0.8 b) 0.375 c) 0.182d) 0.111 e) 0.452 a) Terminating, 5 is a factor of 10b) Recurring, 3 is not a factor of 10c) Recurring, 9 is not a factor of 10d) Terminating, 16 has only factors which arefactors of 10e) Recurring, 7 is not a factor of 103 a) 0.714 285 7… b) SixExercise 2.5 (page 36)1 7.7 2 7.9 3 3.6 4 2.25 7.1 6 8.1 7 5.7 8 3.89 12.2 10 16.5 11 0.9 12 5.8Exercise 2.6 (page 39)1 a) 1.2 b) 3.5 c) 1.8d) 7.2 e) 0.24 f) 0.48g) 12 h) 35 i) 0.06j) 0.08 k) 0.49 l) 0.092 a) 40 b) 4 c) 4d) 9 e) 20 f) 20g) 30 h) 50 i) 80j) 30 k) 3.1 l) 1223 a) 6.3 b) 14.26 c) 35.99d) 19.44 e) 113.4 f) 388.8g) 49.84 h) 26.16 i) 5.08j) 1.872 k) 3.822 l) 9.9684 a) 49 b) 17 c) 24d) 32 e) 53 f) 78g) 5.7 h) 4.9 i) 2.9j) 2.7 k) 3.7 l) 4.5Exercise 2.7 (page 42)1 a) 1.13 b) 1.2(0) c) 1.68 d) 1.08e) 1.02 f) 1.175 g) 2(.00) h) 2.5(0)2 a) 0.86 b) 0.8(0) c) 0.55 d) 0.93e) 0.97 f) 0.77 g) 0.14 h) 0.8353 £4.78 4 £29.405 £2917 6 £34 6967 £8736 8 £159 6279 £2980.80Mixed exercise 2 (page 44)1 a) 30, 5_ b) 21,1_c) 40, 136 3 202 a) 12_ b) 1 __ 2521 c) __ 1124 d) 5_6 e) __ 13245f) 5 __12 g) 3 __ 720 h) 8 3_8 i) 6 __ 118 j) 1 __ 1320k)2_ l) __ 10521 m) __ 1516 n) 2 __ 110 o) __ 920p) 32_3 q) 1 __ 1321 r) 3 3_4 s) __ 1744 t) 9 3_73 a) 0.125 b) 0.222 c) 0.714 d) 0.2734 a) 9.7 b) 5.3 c) 8.7 d) 4.65 a) 2 b) 0.07 c) 0.72d) 10.8 e) 9.18 f) 18.726 a) 30 b) 8 c) 3d) 80 e) 79 f) 8.717 a) 1 __66 b) __ 1140 c) 3 1_7 d) 3 1_98 £52639 £29.52194Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
Chapter 3Exercise 3.1 (page 47)1 a) 2 : 1 b) 1 : 3 c) 5 : 1d) 1 : 3 : 5 e) 3 : 6 : 42 a) 1 : 20 b) 3 : 20 c) 4 : 1d) 16 : 3 e) 3 : 203 5 : 6 4 5 : 8 : 10 5 4 : 2 : 3Exercise 3.2 (page 48)1 a) 1 : 3 b) 1 : 5 c) 1 : 2.5d) 1 : 1.75 e) 1 : 7.5 f) 1 : 125g) 1 : 0.2 h) 1 : 500 0002 1 : 250 000 3 1 : 6Exercise 3.3 (page 52)1 a) 12 cm b) 3.5 cm2 a) 24 babies b) 9 helpers3 a) 6 litres b) 4 litres4 140 mm or 14 cm5 a) 28 miles b) 10 inches6 a) 30 ml b) 10 teaspoons7 a) 100 ml b) 36 ml8 a) 150 g b) 48 g9 £12010 a) 500 g b) 180 gExercise 3.4 (page 54)1 Dave £8, Sam £122 a) 15 litres b) 25 litres3 30 kg sand4 a) 50 ml b) 250 ml5 Amit £320, Bree £800, Chris £4806 15607 £2928 a) 400 g b) 80 gExercise 3.5 (page 57)In all these questions either cost per unit or numberof units per penny can be used. Both are given ineach answer. Where necessary, answers are roundedto 2 decimal places, unless otherwise indicated.1 Cost per gram: 420 g bag 5 0.38p,325 g bag 5 0.34pGrams per penny: 420 g bag 5 2.64 g,325 g bag 5 2.98 g325 g bag is better value2 Cost per litre: 2 litre bottle 5 42.5p,5 litre bottle 5 35.8pMillilitres per penny: 2 litre bottle 5 23.53 ml,5 litre bottle 5 27.93 ml5 litre bottle is better value3 Cost per gram: 680 g pack 5 0.47p,1.4 kg pack 5 0.39pGrams per penny: 680 g pack 5 2.125 g,1.4 kg pack 5 2.59 g1.4 kg pack is better value4 Cost per nail: 50 pack 5 2.5p,144 pack 5 2.64pNails per penny: 50 pack 5 0.4 nails,144 pack 5 0.38 nails50 pack is better value5 Cost per roll: 12 pack 5 14.92p, 50 pack 5 14.4pRolls per penny: 12 pack 5 0.067 rolls,50 pack 5 0.069 rolls (answers rounded to3 decimal places)50 pack is better value6 Cost per ml: 80 ml tube 5 3.49p,150 ml tube 5 3.33pMillilitres per penny: 80 ml tube 5 0.29 ml,150 ml tube 5 0.3 ml150 ml tube is better value7 Cost per litre: 3 litres 5 66.33p,2 litres 5 67.5p, 1 litre 5 57pLitres per pound: 3 litres 5 1.51 litres,2 litres 5 1.48 litres, 1 litre 5 1.75 litres1 litre bottle is the best value8 Cost per gram: 750 g 5 0.239p,1.4 kg 5 0.229p, 2 kg 5 0.245p (answers roundedto 3 decimal places)Grams per penny: 750 g 5 4.19 g, 1.4 kg 5 4.38 g,2 kg 5 4.09 g1.4 kg packet is the best valueMixed exercise 3 (page 58)1 a) 10 : 7 b) 5 : 12 c) 3 : 1d) 9 : 20 e) 3 : 52 a) 1 : 4 b) 1 : 2.4 c) 1 : 50d) 1 : 250 000 e) 1 : 0.43 a) 60 cm b) 5 cm4 250 g5 a) 60 g b) 250 g6 a) 500 ml b) 240 mlIn questions 7 and 8 either cost per unit or number ofunits per penny can be used. Both are given in eachanswer. Where necessary, answers are rounded to 2decimal places, unless otherwise indicated.7 Cost per litre: 5 litres 5 £3.70, 2 litres 5 £3.50Litres per pound: 5 litres 5 0.270 litres,2 litres 5 0.286 litres2 litres is better value8 Cost per millilitre: pint 5 0.076p, litre 5 0.075p(answers rounded to 3 decimal places)Millilitres per penny: pint 5 13.2 ml,litre 513.3 mlLitres are better valueChapter 4Exercise 4.1 (page 61)1 a) 26 b) 1.5 c) 58 d) 200e) 80.4 f) 20.1 g) 661 h) 10.1i) 283 j) 275Higher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises 195
Page 1: AnSWErS to tHE StudEnt’SBook ExEr
Page 5 and 6: Chapter 5Exercise 5.1 (page 73)1 5
Page 7 and 8: 4 a) 0.722 b) 1.26 c) 20.6495 a) 33
Page 9 and 10: Chapter 11Exercise 11.1 (page 144)x
Page 11 and 12: 2345y 3y4321R3 2 1 0 1 2 3 41y 2x
Page 13 and 14: 4 a) x 22 21 0 1 2 3 4 5x 2 4 1 0 1
Page 15 and 16: 10 a)x 22 21 0 1 2 3 4x 2 4 1 0 1 4
Page 17 and 18: 3 The velocity increases from 0 m/s
Page 19 and 20: 7 a)y302826242220181614121086420y
Page 21 and 22: 5 a) y 5 ___ 24xb) 486 a) d 5 ____
Page 23 and 24: Chapter 21Exercise 21.1 (page 283)1
Page 25 and 26: (x 2 np)2k) q 5 _________ l) x 5 6
Page 27 and 28: Mixed exercise 25 (page 328)1 a)c)2
Page 29 and 30: Exercise 27.5 (page 362)1 a) (5, 3,
Page 31 and 32: 6 a) A reflection in the line y 5 0
Page 33 and 34: 3 Scale 1 cm 5 10 mHedge2 Scale 1 c
Page 35 and 36: 7 163.4 cm (1 d.p.)8 14.8 cm (1 d.p
Page 37 and 38: Chapter 32All answers are given cor
Page 39 and 40: 6yd) (i)y1y cos 3 θ20130° 60° 9
Page 41 and 42: 2 a) (1, 8)b) 233 y1210CD8 A B64D C
Page 43 and 44: 6 A7DCEBAD 5 AB, DE 5 DB and AE is
Page 45 and 46: 4 a)Mark50403020100400 500 600Circu
Page 47 and 48: Exercise 42.2 (page 568)1 a)First d
Page 49 and 50: 7 a)First discSecond discOutcomePro
Page 51 and 52: 2 a) You are aged 19 up until your
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15 23 (because 0 is in the sequence
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