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)c)d)y420 2 4 6 8Trapeziumy420 2 4 6 8Parallelogramy420 24 6 8xxxKite4 All the angles are 90° and the diagonals areequal length.5 Isosceles trapezium, parallelogram or rhombus70°110°110°70°Isosceles trapezium70°110°110°Parallelogram70°110°110°Rhombus70°70°Exercise 26.6 (page 348)1 2340° 2 3240°3 a) 131° b) 86°, 130°, 95°, 49°4 a) 58°b) 90°, 100°, 123°, 105°, 122°5 e 5 30°; i 5 150°6 e 5 3.6°; i 5 176.4°7 15 8 20Mixed exercise 26 (page 349)1 a) 9 cm 2 b) 8 cm 2 c) 30 cm 22 a) 28 cm 2 b) 300 cm 2 c) 27 cm 23 a) a 5 110° Corresponding angles.b 5 70° Allied angles or Angles on astraight line.b) c 5 50° Alternate angles.d 5 50° Corresponding angles orOpposite angles.c) e 5 36° Alternate angles.f 5 72° Angles on a straight line.g 5 72° Corresponding angles or anglesin a triangle.4 a) a 5 19° Angles in a triangle add up to180°.b) b 5 47° Base angles in an isoscelestriangle are equal.c) c 5 31° Exterior angle of a triangle isequal to the sum of the opposite,interior angles.d 5 77° Angles on a straight line add upto 180° or Angles in a triangleadd up to 180°.5 a) a 5 126° Angles in a quadrilateral add upto 360°.b) b 5 129° Angles on a straight line add upto 180°.c 5 53° Angles in a quadrilateral add upto 360°.6 a) Rectangle, parallelogram, kite, arrowheadb) Rhombus, isosceles trapezium, parallelogramc) Square, rectangle, isosceles trapezium7 a) 900°b) Exterior angle 5 24°, interior angle 5 156°c) 36Chapter 27Exercise 27.1 (page 352)1 12 cm 2 2 85 cm 23 50 cm 2 4 28 cm 2Exercise 27.2 (page 354)1 a) 13 cm b) 5.83 m c) 6.24 cmd) 24 cm e) 7.64 cm f) 6.34 cmg) 30.50 m h) 9.35 m i) 8.30 cm2 4.53 m3 23.66 inchesExercise 27.3 (page 357)1 Yes 6 2 1 8 2 5 10 2 (This is 2 3 the 3, 4, 5 triangle)2 No 4 2 1 7 2 ? 8 23 No 8 2 1 8 2 ? 11 24 Yes 7.5 2 1 18 2 5 19.5 2 (This is 1.5 3 the 5, 12,13 triangle)5 Yes 3.5 2 1 12 2 5 12.5 2 (This is 0.5 3 the 7, 24,25 triangle)6 No 5 2 1 10 2 ? 11 27 No 4.5 2 1 9 2 ? 10 28 Yes 28.8 2 1 12 2 5 31.2 2 (This is 2.4 3 the 5, 12,13 triangle)Exercise 27.4 (page 360)1 a) (6.5, 3) b) (3, 5)c) (21.5, 6) d) (24.5, 0)e) (20.5, 25) f) (5.5, 24.5)2 a) (1, 6) b) (4, 4)c) (5, 4.5) d) (5.5, 4.5)e) (1, 2) f) (25, 27)220Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
Exercise 27.5 (page 362)1 a) (5, 3, 0) b) (5, 0, 2)c) (0, 3, 2) d) (5, 3, 2)2 a) (0, 6, 0) b) (6, 6, 0)c) (3, 3, 0) d) (3, 3, 5)3 a) (8, 6, 0) b) (8, 3, 0)c) (8, 3, 4) d) (4, 6, 4)Mixed exercise 27 (page 363)1 a) 20 cm 2 b) 23 cm 22 a) 11.40 cm b) 7.55 cmc) 6.27 cm d) 4.99 cm3 a) No 5 2 1 8 2 ? 9 2b) Yes 9 2 1 12 2 5 15 2(This is 3 3 the 3, 4, 5 triangle)c) Yes 17.5 2 1 60 2 5 62.5 2(This is 2.5 3 the 7, 24, 25 triangle)d) No 5.2 2 1 8.3 2 ? 9.7 24 a) (3, 4) b) (4, 51_2 ) c) (4 1_2 , 4 1_2 )5 1.93 m6 30.3 cm 27 15.66 m8 a) (i) (15, 0, 0) (ii) (0, 10, 6)(iii) (15, 10, 6)b) (11, 5, 6)Chapter 28Exercise 28.1 (page 368)12y 1y4321By x4 3 2 1 0 1 2 3 4x1A234yy x 43Ay 221B4 3 2 1 0 1 2 3 4x1C 2343 a) b)C4 a) A reflection in the line y 5 2b) A reflection in the line x 5 3c) A reflection in the line y 5 x5 a) A reflection in the line y 5 0b) A reflection in the line y 5 2xc) A reflection in the line y 5 xExercise 28.2 (page 373)12346y43214 3 2 1 01234y43B21C14 3 2 1 0 11234y876543AC214321 0 112B34CB90°AAABAA2BD3 4C2 3 4Dxx2 3 4 5 6 75Ox90°c)C120°BBAHigher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises 221
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: Mixed exercise 25 (page 328)1 a)c)2
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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