X x x x x x x (e) G f f 7

Edexcel IGCSE Higher Tier Mathematics Paper 3H ? May 2017

1. (a) 10a 25 5(2a 5) (b) 7w2 4w w(7w 4) (c) p2 ( p 5) p3 5 p2 (d) (x 3)(x 7) x2 7x 3x 21 x2 4x 21 (e) G f 3 7 f G 23 7 2 G 8 14 6

2. (a) (b) y 10

8 Q

6

P 4

2

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x

-2 R

-4

3. (a) 10 300 750 g 4

(b) 920 4 32 people 115

4. (a) 3 L 4

(b) Mean 4 0.5 51.5 11 2.5 14 3.5 6 4.5 40

113

40 2.825cm

5. (a) 6.30875

(b) 6.31 (3 sf)

6.

y

12

11

10

9

8 y = 2x + 4

7

6

5

4

3

2

1

-3 -2 -1 0 -1 -2 -3 -4

1 2 3x

7.

14.9 cos 22

AC

AC 14.9 cos 22

AC 16.1 cm (3 sf)

8. (a) Percentage increase 668.8 640 100 4.5% 640

(b)

Let x be weekly pay in 2016

0.95x 668.8

x 668.8 $704 0.95

9.

10. 2x 7 y 31 (1) 5x 3y 16 (2) 41x 205 3 (1) 7 (2) x5 10 7 y 31 substitute into (1) 7 y 21 y3

11. (a) 16 8 4 28 14 90 90 45

(b) Age (t years) Cumulative Frequency

20 t 30

4

20 t 40

32

20 t 50

62

20 t 60

78

20 t 70

86

20 t 80

90

(c)

Cumulative Frequency

90

80

70

60

50

40

30

20

10

0

20

30

40

50

60

70

80

(d) 90 82 8

Age (t years)

12. (a) 0.000451 4.51104

(b)

7.8 105 2.4 104

3.25109

13. (a) d 8 9 12 d 8 9 6 12

(b)

Volume

160

12 8

3

540 ml

(c) Scale factor for areas q p

Scale factor for lengths q p

Scale factor for volumes

Weight of Q

3

q

p

3

q p

w

14. (a) ( x )8 x8 x4

(b) 6 4 y 5 2 y 3

6 4 y 3(5 2 y) 6 4 y 15 6 y

10 y 9 y 9 10

(c) g 1 gh 3h g gh 1 3h g(1 h) 1 3h g 1 3h 1 h

15.

P kr3

343 k 3.53

k

343 3.53

8

P 8r3

16.

5 2 e 3 2 e f 2 6

30 3 2e 5 2e e2 f 2 6 30 e2 2 2e f 2 6 30 e2 6 e2 36 e6

f 2 12 2 f 12

17. (a) (i) QS QP PS a b

(ii)

QY

QP

1 2

PS

a

1 2

b

(iii)

PX

PQ

1 2

QS

a

1 2

(a

b)

1 2

a

1 2

b

(b)

PR

2

PX

3

PX

3 2

PR

6

3

X has coordinates 3 6,1 3 (9, 4)

X has coordinates 9 5, 4 4 (4,8)

18. (a)

(b) (i) n( A B ') 1 (ii) n( A B ') 45

19. (a)

y 4 x3

x3 4 y

x 4 3 y

f 1(x) 4 3 x

(b) g(a) a 2 a

fg(a)

4 a2

3

1

a

4 a2 3 a

4a a 2 3a

6a 2

a

1 3

20.

P(BBB '

or BB ' B

or B ' BB) 3

4

3

8

12

12 11 10 55

21.

MC 52 182 349

tanVCM 7 349

VCM 20.5 (3 sf)

22.

3

x 15

3

x 15

2x 12 x2 2x 48 2(x 6) (x 8)(x 6)

3(x 8) 2(x 15)

2(x 8)(x 6)

3x 24 2x 30

2(x 8)(x 6)

1

x6

2(x 8) (x 6)

1

2(x 8)

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