AnSWErS to tHE StudEnt'S Book ExErCiSES - Hodder Plus Home

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7 a) x 22.5 22 21.5 21 20.5 0 0.5 1b)y 32 16 8 4 2 1 0.5 0.25y 4 x21y3020100y 25c) (i) y 5 12.1 (ii) x 5 22.38 Gradient at x 5 21 should be around 11,gradient at x 5 2 should be around 38.9 (2)50 square units, the negative indicates thatthe area is below the x-axis.10 6.7 km/hr11 262.5 m12 Approximately y 5 10x 2 2 613 y 5 5 3 3 xChapter 17Exercise 17.1 (page 234)1 a)8_b) 440 metres3122 a) __ or4_b) 96 miles27 91753 a) ___ 7_or b) $31550 24 a)5_b) 20 rungs7155 a) __ 5_or b) 195 g27 96 a)7_b) 45.5 hours4407 a) __ 8_or b) 16 hours15 358 a) __b) £37.5012149 a) __ 7_or b) £34318 90.910 a) __ __b) 178.2 kgor 92.5 25Exercise 17.2 (page 236)481 a) __ 3_or b) 12 minutes32 2122 a) __ 3_or b) 4 weeks8 23 a)3_b) 24 hours4404 a) __ or4_b) 55 minutes50 5205 a) __ 5_or b) 9 days12 36 a)2_b) 9 hours37 a)3_4b) 16 kilometres per hour1x8 a)9 a)10 a)__ 14 7_or18 98_ or4_6 3__ 15 5_or9 3Exercise 17.3 (page 238)b) 27 weeksb) 13.5 hoursb) 12 days1 a) Direct b) y 5 340 x2 a) Direct b) y 5 7x c) 703 a) Direct b) y 5 4_3 x4 a) Direct b) y 5 2_ x5c) 605 a) Direct b) y 5 113 x6 a) Inverse b) y 5 ____ 240x7 a) Inverse b) y 5 ____ 150x8 a) Inverse b) y 5 _____ 1440x9 a) Inverse b) y 5 ____ 360x10 a) Inverse b) y 5 _____ 1800xExercise 17.4 (page 241)c) 16c) 7.2c) 11.251 a) y ~ x 2 b) y 5 x 22 a) y ~ x 2 b) y 5 2x 2 c) 1283 a) y ~ x 2 b) y 5 1_3 x24 a) y ~ x 2 b) y 5 0.4x 2 c) 4905 a) y ~ x 2 b) y 5 1.2x 26 a) y ~ __ 1 2xb) y 5 ____ 225x 2 c) 17 a) y ~ __ 1x 2 b) y 5 _____ 1250x 28 a) y ~ __ 1x 2 b) y 5 ___ 202xc) 0.29 a) y ~ __ 1x 2 b) y 5 ____ 800x 210 a) y ~ __ 1 2xb) y 5 ____ 256x 2 c) 1Mixed exercise 17 (page 244)1 a) 161 revolutions b) 988 metresc) 16 miles d) 25 gramse) 9.8 litres2 a) 10 hours b) 17.5 hoursc) 9 days d) 9 dayse) 10 days3 a) (i) y ~ x (ii) y 5 4xb) (i) y ~ x (ii) y 5 15 x (iii) 1204c) (i) y ~ x (ii) y 5 2_3 xd) (i) y ~ x (ii) y 5 1_ x5(iii) 55e) (i) y ~ __ 1 xf) (i) y ~ __ 1 x4 a) h 5 0.05 s 2b) 0.6125 mc) 9.5 m/s(ii) y 5 ___ 12x(ii) y 5 ___ 24x(iii) 2.4212Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
5 a) y 5 ___ 24xb) 486 a) d 5 ____ 250s 2b) (i) 2.5 m (ii) 31.6 m/sChapter 18Exercise 18.1 (page 248)1 2y 5 3x 1 4 2 y 5 3x 1 53 8x 1 3y 5 24 4 3x 1 8y 5 245 3y 5 2x 1 5 6 3x 1 4y 5 97 y 5 x 1 3 8 y 5 2x 2 19 3x 1 y 5 2 10 2x 1 3y 5 9Exercise 18.2 (page 253)1_2 b) 2 1_4 c) 4_51 a)2 y 5 3x 1 23 3x 1 2y 5 64 Check students’ answers.5 Check students’ graphs.a) 21_3 b) 36 x 1 3y 5 167 3y 5 2x 1 98 a) y 5 4x 1 3 and 4x 2 y 5 5b) 2y 2 3x 5 5 and 6y 1 4x 5 19 3y 5 x 1 410 a) y 5 2x 1 2b) x 1 2y 5 4c) (0, 2)Mixed exercise 18 (page 255)1 a) yb)54321012x 3y 92 3 4 5 xx 2 1 0125x 2y 10 0345y2 a) y 5 1_ x 1 2 or 2y 5 x 1 4215b) y 5 2 __ x 1 15 or 15x 1 8y 5 1208c) y 5 5_ x 2 1 or 3y 5 5x – 333 a) y 5 3x 1 2b) y 5 22x 1 6 or 2x 1 y 5 6c) y 5 1_ x 1 5 or 2y 5 x 1 1024 a) 4 b)2_ c) 22_ d) 26535 a) y 5 5_ x 2 10 or 2y 5 5x 2 202b) y 5 2_ x 1 8_ or 5y 5 2x 1 85 5c) 3x 1 y 5 96 AB: x 1 3y 5 14BC: y 5 2x – 7AC: 5x 1 y 5 147 a) y 5 7x – 34 b) 2y 5 5x – 20c) 5x 1 4y 5 68 a) x 1 2y 5 4 b) 3x 1 2y 5 2c) 2y 5 5x – 119 (i) y8765432101 2 3 4 5 6 7 8 xa) (ii) 4x 1 3y 5 24b) (ii) (4.5, 0)c) (ii) 3x 5 4y10 a) y 5 2x 1 4 b) (3, 10)Chapter 19Exercise 19.1 (page 258)1 x 5 22 or 0 2 x 5 1 or 53 x 5 23 or 4 4 x 5 22 or 275 x 5 0 or 3 6 x 5 647 x 5 210 or 6 8 x 5 11_2 or 79 x 5 24 or 1_2 10 x 5 2 1_3 or 2 1_211 x 5 221_3 or 4 1_2 12 x 5 2 1_4 or 0Exercise 19.2 (page 260)1 x 5 21 or 22 2 x 5 2 or 43 x 5 24 or 1 4 x 5 21 or 55 x 5 24 or 3 6 x 5 27 or 07 x 5 3 or 5 8 x 5 23 or 79 x 5 0 or 4 10 x 5 6611 x 5 28 or 22 12 x 5 23 or 813 x 5 26 or 1 14 x 5 2 or 915 x 5 621_16 x 5 210 or 2217 x 5 0 or 1_18 x 5 23 or 10319 x 5 25 or 0 20 x 5 4 or 521 x 5 21 or 21_ 22 x 51_3 2 or 323 x 5 221_2 or 1 24 x 5 22 or 2 1_325 x 5 211_ or 2 26 x 52_2 3 or 327 x 5 21_ or 5 28 x 5 2 2_ or1_5 3 229 x 5 5 (repeated) 30 x 5 21_331 x 5 210 or 10 32 x 5 241_33 x 5 22_ 3_or3 23_or52 or 4 1_2Higher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises 213
Page 1 and 2: AnSWErS to tHE StudEnt’SBook ExEr
Page 3 and 4: Chapter 3Exercise 3.1 (page 47)1 a)
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: 7 a)y302826242220181614121086420y
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
Page 53: 15 23 (because 0 is in the sequence

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