Edexcel IGCSE Higher Tier Mathematics 4H June 2017

Edexcel IGCSE Higher Tier Mathematics Paper 4H ? June 2017

1. (a) (i) P I {t, a,l}

(ii) P I { p, o, r, t, u, g, a, l,i, y}

(b) No because a is in both and so it is not empty. 2. (a) M 2 (3)2 7 (3) 18 21 39

(b) 4(x 3) 9x 10 4x 12 9x 10 22 5x x 22 4.4 5

(c) 1, 0,1, 2,3

3. (a) 250 97 24250 rupees

(b) 4 500 ?21.39 ?21 (nearest ?) 93.5

4.

Midpoint

is

4 2

1

,

9

2

5

(1.5, 7)

5. (a) 20 0.3 6

(b) Let probability lose x x x 0.3 1 3 4x 0.7 3 x 0.7 3 0.525 4

6. T 6m 9g

7.

(a)

7

3 2 7 3 3 14 9 23

12 8

34

34 34

(b) 1 2 2

1

15

31

31 3 4

3 15 3 15 3 9 9

8.

Exterior angle 180 156 24

Number of sides 360 15 24

9.

Liam had 5 420 ?175

12

Ned had 3 420 ?105 12

After Liam has given Ned ?75, Ned has ?180

This is 180 100 42.857... 43% (nearest whole number) 420

10. (a) e8 e7 e87 e15

(b)

12 g 10 3g 2

12 g102 3

4g8

(c) m0 1

(d)

(27

x

6

)

2 3

2

27 3

(

x

6

)

2 3

(3

27

)2

x6

2 3

9x4

11. Let radius of cirlce r r2 r2 72 (Pythagoras' Theorem) 2r2 49 r2 24.5 Shaded area r2 72 24.5 49 27.969... 28 cm2 (nearest whole number)

12.

Ordered heights

10,12,15,16,17,19,19,23,24,27,27

Lower Quartile 15

Upper Quartile 24

Interquartile Range 24 15 9 mm

13. (a) Gradient of A 2 Gradient of B 1.5 Gradient of C 2 Gradient of D 2 A and C are parellel

(b) y 5 xc 2 3 5 1 c 2 c 5.5 y 2.5x 5.5

2 y 5x 11 5x 2 y 11

or y3 5

x 1 2 2( y 3) 5(x 1) 2 y 6 5x 5 5x 2 y 11

14. (a) (i) ACD 52

(ii) Angles in the same segment

(b) (i) AOD 104

(ii) Angle at the centre is twice the angle at the circumference

15. (a) 2x 4 x 5 (x 3) 60 2 (3x 1)(x 3) 120 3x2 9x x 3 120 3x2 10x 117 0

(b) x 10 102 4 3 (117) 23

10 1504

6 x 8.13 (not possible as x 3 has to be positive) x 4.80 cm (3 sf)

16. (a)

(b) 0.8 0.35 0.2 0.4 0.36 17. (a) dy 38x2 2 3x 25

dx 24x2 6x 25

(b) 24x2 6x 25 5 24x2 6x 30 0 4x2 x 5 0 (4x 5)(x 1) 0 4x 5 0 x 1.25 x1 0 x 1

18.

Time (t minutes) Frequency Frequency Density

0 t 30

60

60 2 30

30 t 90

270

270 4.5 60

90 t 120

150

150 5 30

120 t 240

156

156 1.3 120

240 t 300

24

24 0.4 60

Frequency Density

6

5

4

3

2

1

0

60

120

180

240

300

360

Time (t minutes)

19. Area=2 1 6.4 9.7 sin110 58.3 cm2 (3 sf) 2

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