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3 PlanFront elevationSide elevation4 PlanFront elevationSide elevation6 a) 20 308.2 cm 3 (1 d.p.) b) 1578.46 mm 3 (2 d.p.)c) 5617.5 cm 3 (1 d.p.) d) 0.8874 m 3 (4 d.p.)7 a) 2601 mm 3 (nearest whole number)b) 3268.5 mm 3 (1 d.p.)c) 106 437 cm 3 (nearest whole number)d) 181 cm 3 (nearest whole number)e) 23 091 m 3 (nearest whole number)f) 27.5 m 3 (1 d.p.)8 a) 1659 m 2 (nearest whole number)b) 2432 cm 2 (nearest whole number)c) 16.0 cm 2 (1 d.p.)d) 672 mm 2 (nearest whole number)9 a) 5202 mm 2 (nearest whole number)b) 113 m 2 (nearest whole number)c) 174 cm 2 (nearest whole number)d) 546 cm 2 (nearest whole number)10 a) Planb) Plan5 Plan6 PlanSide elevationSide elevationFront elevationFront elevationFront elevationFront elevationSide elevationSide elevationc) Pland) PlanMixed exercise 31 (page 425)Where necessary, the p button on a calculator hasbeen used to work out these answers, which are givento 3 s.f. (unless stated otherwise).1 a) 44.6 cm b) 93.3 cmc) 204 cm d) 101 mm2 a) 127 cm 2 b) 24.5 m 2c) 238 mm 2 d) 69.4 mm 2e) 125 cm 2 f) 72.1 m 23 Check students’ diagrams.4 a) 89.54 cm 2 (2 d.p.) b) 75 cm 2c) 176.5 cm 2 (1 d.p.) d) 178.23 cm 2 (2 d.p.)5 a) 208 cm 3 b) 156 cm 3c) 169.32 cm 3 (2 d.p.) d) 192 cm 3e) 257.544 cm 3 (3 d.p.) f) 655.2 cm 3 (1 d.p.)Side elevationFront elevationSide elevationFront elevation228Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
Chapter 32All answers are given correct to 3 significant figures.Exercise 32.1 (page 433)1 a 5 3.50 cm b 5 6.76 cmc 5 8.18 cm d 5 8.57 cme 5 2.01 cm f 5 1.33 cmg 5 3.41 m h 5 2.00 m2 2.05 m3 a) 6.88 cm b) 68.8 cm 2Exercise 32.2 (page 436)1 a 5 9.24 cm b 5 13.4 cmc 5 10.5 cm d 5 11.4 me 5 23.0 cm f 5 10.7 cmg 5 7.71 m h 5 26.7 m2 9.53 km3 a) 1.89 m b) 10.3 m 3Exercise 32.3 (page 440)1 a 5 47.2° b 5 9.46°c 5 45.6° d 5 69.2°e 5 52.8° f 5 42.7°g 5 39.6° h 5 56.7°2 69.8°3 36.9°4 32.3°Mixed exercise 32 (page 442)1 a 5 9.80 cm b 5 13.9 m c 5 9.79 md 5 14.5 cm e 5 5.57 m f 5 73.6 m2 a 5 52.0° b 5 39.4°3 a) 8.09 m b) 50.8°4 a) 75.7°, safe b) 6.09 m c) 3.39 m5 a) N2 a) 47° b) 70° c) 25°3 a) 31.6 cm b) 19.0 cmExercise 33.2 (page 451)1 a) a 5 7.1 cm b) angle C 5 51°c) angle B 5 39° d) r 5 16.1 cme) p 5 7.0 cm f) angle Y 5 33°2 a) angle R 5 56°, angle P 5 51°, QR 5 7.1 cmb) angle Y 5 20°, angle X 5 37°, YZ 5 16.8 cmc) angle B 5 38°, AB 5 6.9 cm, AC 5 4.3 cm (1 d.p)d) angle C 5 81°, AB 5 9.3 cm, BC 5 5.8 cm (1 d.p)e) angle A 5 49°, angle B 5 59°, AC 5 7.8 cm (1 d.p)f) angle Q 5 57°, PQ 5 15.0 cm, QR 5 11.5 cm (1 d.p)Exercise 33.3 (page 454)1 a) a 5 7.1 cm b) angle A 5 25°c) b 5 6.3 cm d) angle C 5 57°2 a) angle A 5 43°, angle B 5 54°, AB 5 7.3 cm (1 d.p)b) angle A 5 41°, angle B 5 61°, angle C 5 78°c) angle A 5 60°, angle C 5 74°, AC 5 5.4 cm (1 d.p)d) angle A 5 50°, angle B 5 69°, angle C 5 61°e) angle P 5 49°, angle R 5 33°, PR 5 10.2 cm (1 d.p)f) angle P 5 54°, angle Q 5 26°, angle R 5 100°g) angle P 5 66°, angle Q 5 61°, angle R 5 53°h) angle X 5 27°, angle Y 5 38°, XY 5 18.6 cm (1 d.p)i) angle X 5 49°, angle Y 5 82°, angle Z 5 49°j) angle X 5 16°, angle Y 5 45°, XY 5 16.9 cm (1 d.p)3 a) 19.5 cm b) 56°4 a) 54° b) 80° c) 46°Exercise 33.4 (page 460)1 a)y10.50y sin θ90° 180° 270° 360° 450° 540° θ70°120 kmb) (i) 113 km (ii) 41.0 km6 70.0°7 8.28 cm8 a) 51.3° b) 93.7 cm 29 35.3 m10 4.34 mChapter 33Exercise 33.1 (page 447)All lengths and areas are given correct to 3 s.f. and allangles to the nearest degree.1 a) 15.0 cm 2 b) 33.2 cm 2c) 16.7 cm 2 d) 50.0 cm 2e) 21.6 cm 2 f) 24.3 cm 2g) 59.7 cm 2 h) 53.1 cm 21b) 5 30°, 150°, 390° and 510°2 a)y1y cos θ180° 90° 0 90° 180° 270° 360°0.51b) 5 2120°, 120° and 240°θHigher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises229
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 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: 7 163.4 cm (1 d.p.)8 14.8 cm (1 d.p
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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