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

g)(iv)y101y 0.5 sin 3θ60° 120° 180° 240° 300° 360°y1180° 120° 60° 0 60° 120° 180°θ1y sin 5θValues of are approximately 2139°, 2113°,267°, 241°, 5°, 31°, 77°, 103°, 149° and 175°Chapter 34Unless stated otherwise, lengths are given correct to1 d.p. and areas and volumes to 3 s.f.Exercise 34.1 (page 469)1 a) and b)2 a) and c)3 b) and c)4 a) Length b) Volume c) Area5 a) Volume b) Areac) Nonsense d) LengthExercise 34.2 (page 472)1 a) 6.1 cm b) 12.9 cm c) 42.1 cm2 a) 16.5 cm 2 b) 40.5 cm 2 c) 221 cm 23 a) 52° b) 103° c) 91° d) 257°4 a) 9.1 cm b) 6.8 cm c) 8.6 cm5 a) 4.9 cm b) 5.7 cmc) 9.0 cm d) 6.5 cm6 187°, 62.6 cm 27 208 cm (to 3 s.f.)Exercise 34.3 (page 475)1 a) 47.1 cm 2 b) 107 cm 2 c) 51.1 cm 22 a) 37.7 cm 3 b) 126 cm 3 c) 39.3 cm 33 a) 32 cm 3 b) 240 cm 3 c) 106 cm 34 158 cm 25 12 cm6 a) 3.6 cm b) 3.1 cm c) 6.2 cm7 a) 2.6 cm b) 5.7 cm c) 9.9 cm8 a) 327 cm 2 b) 845 cm 2 c) 1260 cm 29 a) 556 cm 3 b) 2310 cm 3 c) 4190 cm 310 a) 8.5 cm b) 7.3 cmc) 6.6 cm d) 12.4 cmθExercise 34.4 (page 479)1 a) 2.39 cm 2 b) 28.4 cm 2 c) 46.6 cm 22 1390 m 33 a) 166 cm 2 b) 67.1 cm 2 c) 255 cm 24 990 cm 35 a) 7.3 cm, 224 cm 3 b) 4.5 cm, 61.7 cm 3c) 10.0 cm, 776 cm 36 a) 409 cm 3b) 10.7 cm, 382 cm 27 a) Check students’ answers.b) 2.56 litres8 1740 cm 39 4.8 cm, 174 cm 310 785 cm 3Mixed exercise 34 (page 481)1 a) √ ___6a 2 , b) ____ 4bc and d) ____ 2pad 52 a) Length b) Volume c) Noned) Area3 a) Arc length 6.7 cm, area 20.8 cm 2b) Arc length 34.9 cm, area 136 cm 24 a) 115° b) 302°5 439.5 cm 26 3.1 cm7 38 700 cm 3 (to 3 s.f.)8 8.4(69…) cmChapter 35Exercise 35.1 (page 484)1 A, B and C are similar. D and E are similar.2 XY 5 6 cm, YZ 5 9 cm3 AC 5 4.8 cm, AX 5 4.5 cm, XB 5 7.5 cm4 42 m5 x 5 2.7 cm, y 5 3 cm6 x 5 2.143 cm, y 5 10 cm7 27 cm8 a) Angle BAC 5 Angle CDE(Alternate angles)Angle ACB 5 Angle DCE(Vertically opposite angles)Angle ABC 5 Angle CED(Alternate angles)Corresponding angles are equal so triangleABC is similar to triangle CDE.b) AC 5 13.5 cm, BC 5 27 cmExercise 35.2 (page 488)1yCD 4B216 12 8 4 024A 68ADB4Cx232Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education