1. November 2010
Paper 3

2. 1)a) Milk : Dark
2 : 1
24 : 12
There are 36 chocolates in total

3. 2) a) p x p x p x p = p4
b) 2c x 3d = 6cd

4. 3)a)
b) (2, 9) (4, 7) (6, 5) (8, 3)
c) P(less than 6) = 3/20 + 2 4 6 8 1 3 5 7 9 11 13 15 17

5. 4)a)
4n – 2
b) 10 – n2
i) 3rd term = 10 – 32 = 1
ii) 5th term = 10 – 52 = -15

6. 5) Area of circle = π x radius2
Area = π x 102
= 314cm2

7. 6)
236 x 4.85
(1 mark for any x 5 one of these)
4000
1000
4 (1 mark for any answer between and 4)

8. 175 x 37 = 6475
£64.75

9. Line drawn through
(−2, 6) (−1, 5) (0, 4) (1, 3) (2, 2)
(3, 1) (4, 0), (5, − 1)

10. Equilateral triangle so all angles are 60°
x = 120°
Angles on a straight line add up to 180 °

11. 10)a)
Key 9|1 = 91
b) Mode = 77 6 9 7 2 4 8 1 3

12. 11) 17.5% of 6000 = 1050 (1 mark)
(1 mark)
= (1 mark)
7050 – (1 mark)
4050 ÷ (1 mark)
= (1 mark)

13. 12)
Rotation (1 mark)
180° (1 mark)
Centre (0,0) (1 mark)

14. 12)b)

15. 13) t = v + 2 5
t – 2 = v
(t – 2) x 5 = v
5(t – 2) = v

16. 14) Midpoint of PQ is (7, 5)

17. 15) B and E

18. 16) a) 3(x + 5) + 2(5x – 6)
= 3x x – 12
= 13x + 3
b) 2x + 4 = x + 2 2
c) 5x + 10 = 5(x + 2)
d) x2y + xy2 = xy(x + y)

19. 17) A B

20. 18)a) 2 17/20 – 1 2/5
17 _ 2 or
17 _ 8 9 20
Answer = 19/20 or 29/20
57 _ 7
57 _ 28 29 20

21. 18)b) 2 2/3 x 1 3/4
8 x 7
3 4 56 12
(or equivalent...e.g. 14/3 or 42/3

22. 19)a) DC = 12cm A 10cm 10cm x 1.5 or ÷ 2 then x 3 E B 8cm 8cm 5cm D C

23. 19)b) Area of trapezium = ½ (a + b) x height Area of trapezium
10cm
Parallel sides E B
8cm
5cm D C
Area of trapezium
= ½ (8 + 12) x 5
= 50cm2
8cm
5cm
12cm

24. 20) a) 13.2
13.8 – 12.6 = 1.2
IQR ignores extreme values/outliers

25. 21) 6x + 2y = − 3 (1)
4x − 3y = (2)
Make the ys the same
x 3 18x + 6y = -9
x 2 8x – 6y = 22 (1 mark)
Signs Same Subtract
26x = 13 (1 mark)
x = ½ (1 mark)
Now find y 6x + 2y = -3
3 + 2y = -3
2y = -6
y = -3 (1 mark)

26. 22)
a) A tangent is at right angles to a radius

27. 22)
b) OB2 = OA2 + AB2
OB2 =
OB2 = 100
OB = 10
BC = OB – 6 = 4cm

28. 23) (x − 3)(x + 5)
x2 – 3x + 5x – 15
x2 + 2x – 15
x2 + 8x − 9 = 0
(x + 9)(x – 1) = 0
either x + 9 = 0 or x – 1 = 0
x = x = 1

29. 24)a)

30. 24)b)
= 25

31. 25) x 50 = 9
1000

32. 26) P is inversely proportional to V.
When V = 8, P = 5
P = k V
5 = k 8
k = 40
P = 40

33. 26)b) P = 40 V
P = 40 2
P = 20

34. 27)a)
OP = a + b
OM = ½a + ½b

35. 27)b)
TM = -a + ½a + ½b
TM = -½a + ½b

36. 28)
(-1.6,2.6)
(2.6,-1.6)

37. Grade Boundaries
A* (85)
A (68)
B (51)
C (34)
D (21)
E (14)