1. Set Calculate 310 x 6000
310 x 6000 = 31 x 6 x =

2. Set Calculate 5.25 x 200
5.25 x 200 = 5.25 x 2 x 100
= x 100
= 1 050

3. Set Calculate
(mentally = )
= 19.2

4. Set Calculate 7.75 ÷ 5
7.75 ÷ 5 =
2 2
= 1.55

5. 38.6 ÷ 1000  move back three decimal positions _ . _ 3 8 . 6
Set Calculate 38.6 ÷ 1000
38.6 ÷ 1000  move back three decimal positions
_ . _ =

6. Set 2 6. Calculate 2/5 of 80 2/5 of 80 = 2/5 x 80 = 32 = 80 ÷ 5 x 2

7. Set Calculate -81 ÷ -9
-81 ÷ -9
= 9

8. Set 2 8. Calculate -5 x (-35) -5 x (-35) = -5 x (-30) + -5 x (-5)
if can’t remember exactly split it up
-5 x (-35) = -5 x (-30) + -5 x (-5) =
= 175

9. Set 2 9. Calculate 80% of £500 80% of £500  8 lots of 10%
80% of £500 = 8 x £50
= £400

10. Alternatively using %  decimals, 80% of £500 = 0.80 x £500 = 80 x £5
Set Calculate 80% of £500
Alternatively using %  decimals,
80% of £500 = 0.80 x £500
= 80 x £5
= £400

11. Set Calculate -45 – 19
-45 – 19
= - 64

12. Set 2 11. Calculate ⅝ + 2¾ ⅝ + 2¾ = 5 + 11 8 4 = 20 + 88 = 108 = 27
⅝ + 2¾ =
= = 108 = 27
= 3 3/8

13. Set Calculate 3⅔ x 5¼
3⅔ x 5¼ = 11 x 21 7 1
= 77/4 or 19¼

14. Set 2 13. Calculate ½ + ⅓ - ¼ ÷ 4⅔ ½ + ⅓ - ¼ ÷ 4⅔= 6 + 4 - 3 ÷ 14
½ + ⅓ - ¼ ÷ 4⅔= ÷ 14
= 7 x 3
= 1 8
= ⅛

15. Set 2 14. Calculate ⅞ ÷ ½ of ⅜ = 14/3 or 4⅔ ⅞ ÷ ½ of ⅜ = ⅞ ÷ ½ x ⅜
= 7 ÷ 3
= 7 x 16 2 1
= 14/3 or 4⅔

16. Set 2 15. Calculate (30 + 9.5) x 4 (30 + 9.5) x 4 = (39.5) x 4 3 9 . 5
= 158.0
3 2

17. Set 2 16. Evaluate y = 6x – 13 when x = -4

18. Set 2 17. A woman drives 128 miles in 2 hrs 40 mins
Set A woman drives 128 miles in 2 hrs 40 mins. Calculate her average speed?
S = ? mph S = D ÷ T
D = 128 miles S = 128 ÷ 2hrs 40 mins
T = 2hrs 40mins S = 128 ÷ 2⅔
= (2 + 40/60) hrs S = 128 ÷ 8
= 2⅔ hrs
S = 128 x 3 = 384
= 48 mph

19. Set 2 18. Find the mode and median of 12 24 13 46 25 30 24
Mode = 24 & Median = 24

20. Set 2 19. If another number is added the mean is 25. Find the number (
x = 25 8
174 + x = 25
174 + x = 25 x 8
x = 200 – 174
x = 26

21. Set Draw a boxplot for
L = 12
Q1 = 13
Q2 = 24
Q3 = 30
H =

22. Set 2 21. Expand & simplify (2p – 3q) (3p + 2q)
= 6p2 + 4pq – 9pq – 6q2
= 6p2 – 5pq – 6q2

23. Set 2 22. If a sequence is 5, 9, 13,… find the rule
5, 9, 13, … As it goes up in 4’s  x by 4
How do you get a first term of 5??? 1 X 4 + ? = 5  Add 1
Check for 2nd term of 9??? 2 X 4 + ? = 9  Add 1
Check for 3rd term of 13??? 3 X 4 + ? = 13  Add 1
Rule  4 x n + 1 or 4n + 1

24. Set 2 23. (x + 2)(x + 3)(x – 1) = x3 + 4x2 + x – 6
(x + 2)(x + 3)(x – 1) = (x2 + 3x + 2x + 6)(x – 1)
= (x2 + 5x + 6)(x – 1)
x x
x x x x
– 1 – x2 – 5x – 6
= x3 + 4x2 + x – 6

25. Set 2 24. If (2x + 3)(x – 1) = (2x – 3)(x + 3) Find the value of x?
(2x + 3)(x – 1) = (2x – 3)(x + 3) (2x2 – 2x + 3x – 3) = (2x2 + 6x – 3x– 9) x2 + x – 3 = 2x2 + 3x – 9
2x2 + x – 3 = 2x2 + 3x – x – 3 = 3x – 9
– 2x – 3 = – 9
– 2x = – 6
x = 3

26. Set Factorise 2p2 + 9p – 5
2p2 + 9p – 5
= (2p – 1)(p + 5)

27. Set 2 26. Solve the equation 3x2 – 7x – 6 = 3x(x + 1)10
 x = – 3/5 or x = – 0.6

28. Set 2 27. Solve the inequation 15 – 3(4 – 2x) ≤ 8x + 7

29. Set 2 28. Express in its simplest form 4c2 – 9 8c + 12
4c2 – 9 = (2c + 3)(2c – 3)
8c (2c + 3)
= (2c – 3) 4

30. Set 2 29. If AB = 6cm & AC = 10cm find BC?
 BC = 8 cm A
10 cm
6 cm
B ? C

31. Set 2 30. Solve the simultaneous Equations
3c + 4d = -2 (1) If c = -2 subst into (1):-
c – d = -3 (2)
(2)x 4: c – 4d = -12 (3) c + 4d = -2
 (1): c + 4d = -2 (1) d = -2
(3) + (1) c = d = 4
c = d = 1
c = -2 & d = 1