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

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7 a) A reflection in the line x 5 0b) A rotation of 90° clockwise about the originc) An enlargement with scale factor 3, centre(24, 3)d) A translation by vector0(23)e) An enlargement with scale factor 1_2 , centrethe originf) A translation by vector ( 23 2)g) A reflection in the line y 5 x8 a) A reflection in the line x 5 0b) A translation by vector1(23)c) An enlargement with scale factor 3, centre(0, 2)d) A rotation of 90° anticlockwise about(2, 22)e) An enlargement with scale factor 1_2 , centrethe originf) A rotation of 180° about the origing) A translation by vector ( 3 2)Chapter 29Exercise 29.1 (page 387)1 a) 2500 cm b) 420 mmc) 236 cm d) 5100 mm2 a) 30 000 cm 2 b) 230 mm 2c) 95 200 cm 2 d) 1.4 mm 23 a) 900 cm 2 b) 81.4 cm 2c) 720 m 2 d) 9.4 m 24 a) 3 200 000 cm 3 b) 0.000 042 m 3c) 0.005 m 3 d) 6 420 000 cm 35 a) 2610 cm 3 b) 9.5 litresc) 2400 ml d) 0.91 litre6 All the units need to be the same;change 50 cm to 0.5 m. 5 3 2 3 0.5 5 5 m 37 624 cm 3Exercise 29.2 (page 389)1 a) 56.5 m and 57.5 mb) 567.5 ml and 568.5 mlc) 23.925 seconds and 23.935 seconds2 a) 633.5 g and 634.5 gb) 233.5 ml and 234.5 mlc) 8.25 m and 8.35 m3 a) 28 to 32 m 2b) 15 cans (100 4 7 5 14.2)4 a) 4.965 mm b) 4.975 mm5 No; 595.5 mm is greater than 59.5 cm.6 a) 14.9 cm and 15.1 cmb) 1.95 cm and 2.05 cmc) 1.95 cm and 2.05 cm7 Maximum d: longest rod minus least depth 535.5 2 19.5 5 16 mmMinimum d: shortest rod minus greatest depth 534.5 2 20.5 5 14 mm8 2 3 (14.5 1 8.5) 5 46 cm and2 3 (15.5 1 9.5) 5 50 cmExercise 29.3 (page 391)1 a) 3.5 minutes b) 3 weeksc) 3 kg d) 2 m2 a) 5.5 m b) £16c) 665 km d) 0.1 cm 2Exercise 29.4 (page 392)1 62.5 m/s 2 43 mph 3 7.5 miles4 5 hours 5 278 cm 3 6 60 mph7 9 g/cm 3 8 100 km/h 9 7.8 g/cm 310 a) 8.9 g/cm 3 b) 151.3 g11 19.3 kg12 a) 58.5 kgb) (i) 0.7692 m 3 (ii) 769.2 m 313 a) 60 km/h b) 64.3 km/h14 10.6 g/cm 315 1156.3 people per square kilometreMixed exercise 29 (page 394)1 a) 120 000 cm 2 b) 371 mm 2c) 4200 cm 2 d) 5 mm 22 a) 3 000 000 mm 2 b) 41.25 m 2c) 94 cm 2 d) 600 cm 23 a) 2130 cm 3 b) 5.1 litresc) 421 000 ml d) 0.0917 litres4 a) 26.5 cm and 27.5 cmb) 5.55 cm and 5.65 cmc) 1.225 m and 1.235 m5 Greatest speed: greatest distance 4 least time5 100.05 4 5.5 5 18.19 m/s6 a) 33.5 mm and 34.5 mmb) Greatest perimeter: greatest length 3 35 34.5 3 3 5 103.5 mm7 a) 1 hour 15 minutes b) 8 km/h8 a) 60 mph b) 190 miles9 5394 m 2Chapter 30Exercise 30.1 (page 401)Diagrams are not full size. The measurements givenare correct for the suggested scale.15 cmA2 Scale 1 cm 5 20 m2.5 cm5 cm224Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
3 Scale 1 cm 5 10 mHedge2 Scale 1 cm 5 1 km5 cm6 cmPQTree4 cm45B5 cmC3 cm7 cm60° 30°5 cm3A5 cmB6 Scale 1 cm 5 1 m4 cmAD3 cm3 cm5 cm1 cm2 cmDC4 Scale 1 cm 5 1 mH 8 cmG7 NNWNET6 cm 5 cmWE5ECFSWSE7 cm9 cm8S7 cm3 cm3 cmLocusA 11 cm6 Scale 1 cm 5 1 mB9C3 cm5 cm7 cm 6 cm2 cmA 8 cm B10 Scale 1 cm 5 10 mNote: You could have used a different scale.7 1 cm 5 20 m2.5 cmLocus2 cm8 cmCastle 6 cm7 cmExercise 30.2 (page 404)Diagrams are not full size. The measurements givenare correct for the suggested scale.16 cm3 cmA8 Scale 1 cm 5 1 kmC5 cm9.5 cm5 cm5 cmA 7 cm BHigher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises 225
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: 6 a) A reflection in the line y 5 0
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

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

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