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

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) A one-way stretch of scale factor 2, parallelto the x-axis3 a) A reflection in the x-axisb) A reflection in the y-axisc) A one-way stretch of scale factor 5 parallelto the y-axis4 y 5 cos 35 a) y 5 x 2 1 5 b) y 5 2x 2 2 56 a) y 5 3x 1 6 b) y 5 2x 1 27 a) A translation of ( 0 1)b) A one-way stretch parallel to the y-axis ofscale factor 3c) A one-way stretch parallel to the x-axis ofscale factor 0.5d) A one-way stretch parallel to the y-axis ofscale factor 5 and a one-way stretch parallelto the x-axis of scale factor 1_38 a) y 5 x 2 2 2xb) y 5 2x 2 2 2xc) y 5 2(x 2 3) 2 1 2(x 2 3) ory 5 2x 2 1 8x 2 159 a) y 5 1_4 x2 b) (2, 1) c)10 k 5 3Mixed exercise 24 (page 319)1_4d) (1,1_4 )1 a) x 5 1_2b) (i) 2x 1 9 (ii) 2x 1 42 a) x 5 ±1b) (i) x 2 1 2x 1 7 (ii) 4x 2 1 73 a) 24b) (i) x 2 2 6x 1 8 (ii) 4x 2 2 4x 1 34 a) yy x 24b) Translation by (024)5 y 5 2x 2 36 a) y12y x 2 40 90° 180° 270° 360°7 a) Translation by ( 21 0)xθy sin θ 1b) One-way stretch with scale factor 1_3 , parallelto the x-axisc) One-way stretch with scale factor 4, parallelto the y-axisd) Reflection in the y-axis8 a) y 5 cos 1 3 b) y 5 cos 49 a) y 5 2x 3 2 5 b) y 5 2x 3 1 510 a) y 5 2[(x 2 3) 2 1 1] or y 5 2x 2 2 12x 1 20b) (3, 2)11 y12 y(0, 1)Chapter 25Exercise 25.1 (page 323)1 ______ 5x 2 1623 _______ 7x 2 261245 __________ x 2 1 x 1 43(x 2 1)67 _____________2x 2 2 7x 2 213(x 2 5)89 _________ 17 1 14x4(2x 2 3)Exercise 25.2 (page 325)3x 1 51 _____________ 2(x 1 1)(x 1 2)35791134x 2 1 5x 1 6____________3x(x 1 3)x 2 7 _____________(x 2 1)(x 1 2)_____________x 2 2 2x 2 21(x 2 3)(x 2 5)_______________3(x 1 1)(2x 1 3)(2x 1 1)(x 1 2)x 2 2 33x 1 24_______________(3x 2 2)(5x 2 4)Exercise 25.3 (page 327)y (x 3) 2xy (x 3) 2y f(x) 2x46________ 23x 1 110________ 2x 1 124___________10 2 x 2 x 24(x 2 2)_________ 29x 1 127(4x 2 1)___________x 2 1 6x 1 3x(x 1 3)_____________2(x 2 1 12)(x 1 4)(x 2 4)2x 2 1 2_____________(x 2 2)(x 2 4)4x8 ______________2 2 9x 1 16(3x 2 4)(x 1 2)2(x 2 1 7x 2 3)10 _____________(x 1 3)(x 2 3)4(x 2 2 x 2 1)12 1 ______________(x 1 1)(5x 1 3)1 x 5 5 2 x 5 223 x 5 5 4 x 5 2 or x 5 65 x 5 5 or x 5 06 x 5 5.30 or x 5 1.707 x 5 20.86 or x 5 0.468 x 5 2.30 or x 5 21.309 x 5 20.21 or x 5 223.79218Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education
Mixed exercise 25 (page 328)1 a)c)2 a)c)5x ___6_____________2x 2 1 8x 2 1510x_____________2(x 2 1)(x 1 4)(x 1 2)_________4(x 2 2 1)x(x 1 2)b)d)b)d)x 2 19 ______613x 1 5________________(4x 2 1)(3x 1 2)x 2 1 4x 2 2___________3(x 1 2)5x 2 1 4x 2 19______________(x 2 1)(3x 1 5)3 a) x 5 1 b) x 5 2c) x 5 8 d) x 5 2 or x 5 64 a) x 5 0.638 or x 5 21.305b) x 5 0.422 or x 5 21.422Chapter 26Exercise 26.1 (page 331)1 16 cm 2 2 50 cm 23 160 m 2 4 75 mm 25 64 cm 2 6 17.5 cm 27 55 cm 2 8 144 cm 29 150 m 2 10 120 m 2Exercise 26.2 (page 333)1 24 cm 2 2 72 cm 23 64 m 2 4 35 cm 25 14 cm 2 6 30 cm 27 42 cm 2 8 144 m 29 42 cm 2 10 16 cm 2Exercise 26.3 (page 337)1 a 5 74° (Alternate angles)2 b 5 65° (Allied angles)3 c 5 125° (Corresponding angles)4 d 5 65° (Alternate angles)e 5 65° (Corresponding or vertically oppositeangles)5 f 5 110° (Alternate angles)g 5 110° (Corresponding or vertically oppositeangles)6 h 5 55° (Allied angles)i 5 125° (Corresponding angles)j 5 125° (Alternate or vertically oppositeangles)7 k 5 65° (Corresponding angles)l 5 65° (Alternate or vertically oppositeangles)m 5 115° (Allied angles)n 5 115° (Vertically opposite angles)8 o 5 101° (Corresponding angles)p 5 101° (Corresponding angles)q 5 101° (Alternate angles)9 r 5 97° (Allied angles)s 5 83° (Corresponding angles)t 5 29° (Angles in a triangle add up to 180°)10 u 5 45° (Alternate angles)v 5 67° (Corresponding angles)w 5 68° (Angles on a straight line add up to180°)Exercise 26.4 (page 341)1 a 5 35° (Angles in a triangle add up to 180°)2 b 5 41° (Angles in a triangle add up to 180°)3 c 5 43° (Angles in a triangle add up to 180°)4 d 5 35° (Angles in an isosceles triangle)5 e 5 60° (Angles in an equilateral triangle)6 f 5 55° (The exterior angle of a triangle isequal to the sum of the oppositeinterior angles)7 g 5 141° (The exterior angle of a triangle isequal to the sum of the oppositeinterior angles)h 5 39° (Angles on a straight line add up to180°)8 i 5 115° (Angles in a quadrilateral add upto 360° or angle sum of a triangle 5180°)9 j 5 123° (Angles in a quadrilateral add up to360°)k 5 57° (Angles on a straight line add up to180°)10 l 5 100° (Angles on a straight line add up to180°)m 5 84° (Angles in a quadrilateral add up to360°)Exercise 26.5 (page 344)1 A: trapeziumB: rhombusC: squareD: kiteE: rectangleF: squareG: arrowheadH: parallelogramI: isosceles trapeziumJ: rhombusK: parallelogram2 a) Square, rhombusb) Rectangle, parallelogram, kite, arrowheadc) Rectangle, parallelogramd) Trapeziume) Square, rhombus, kite3 a) y86420 2 4 6 8RhombusxHigher WJEC GCSE Mathematics © 2010, Hodder EducationAnswers to the Student’s Book exercises 219
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: (x 2 np)2k) q 5 _________ l) x 5 6
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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