1. Set Calculate 45 x 800
45 x 800 =
45 x 8 x 100
= 36000

2. Set Calculate 4.6 x 50
4.6 x 50 =
4.6 x 10 x 5
= 46 x 5
= 230

3. Set Calculate
(mentally = )
= 16.5

4. Set Calculate 15.6 ÷ 6
15.6 ÷ 6 =
= 2.6

5. 1.26 ÷ 100  move back two decimal positions _ . _ 1 . 2 6
Set Calculate 1.26 ÷ 100
1.26 ÷ 100  move back two decimal positions
_ . _ . =

6. Set Calculate ⅓ of 84
⅓ of 84 = 84 ÷ 3
= 28

7. Set Calculate 100 – 63.26
100 – = 100 – 63 – 0.26
= 37 – 0.26
= 36.74

8. Set 1 8. Calculate 9 x (-12) 9 x (-12) = 9 x (-10) + 9 x (-2)
if can’t remember exactly split it up
9 x (-12) = 9 x (-10) + 9 x (-2) =
9 x (-12) = -108

9. Set 1 9. Calculate 75% of £300 75% of £300 = ¾ of £300
= (£300 ÷ 4) x 3
= £75 x 3
= £225

10. Set Calculate =
= 162

11. Set 1 11. Calculate 24/5 + 3⅓ 24/5 + 3⅓ = 2 + 3 + 4/5 + ⅓
24/5 + 3⅓ = /5 + ⅓
= =
= 6 2/15

12. Set 1 12. Calculate 15/6 x 9/11 15/6 x 9/11 = 11 x 9 6 11 = 3/2 or 1½ 1 2
= 3/2 or 1½

13. Alternatively 15/6 x 9/11 = 11 x 9 = 99 = 9 6 11 66 6
Set Calculate 15/6 x 9/11
Alternatively
15/6 x 9/11 = 11 x 9 = 99 = 9
= 3/2 or 1½

14. Set 1 13. Calculate 3/10 of 1/5 + ⅓ 3/10 of 1/5 + ⅓ = 3 x 1 + 1 10 5 3
= 3 x
= 3 x 8
= 4/25

15. Set 1 14. Calculate 5/9 ÷ 4/3 – ½ 9 6 = 5 ÷ 5 9 6 = 5 x 6 9 5 = ⅔
5/9 ÷ 4/3 – ½ = 5 ÷ – 3
= 5 ÷ 5
= 5 x 6
= ⅔

16. Set Calculate 28.3 – 5.75 x 3
28.3 – 5.75 x 3 = 28.3 – 17.25
x –
2 1
= 11.05
2 1

17. Set 1 16. £2.59 per mug. How much is it for 80 mugs?
£2.59 x 80
= £2.59 x 10 x 8
= £25.90 x 8 x
= £ for 80 mugs

18. Set Calculate 14.5 x 0.2
14.5 x 0.2
= 14.5 x 2 x 0.1
= 29.0 x 0.1
= 29.0 ÷ 10
x = 2.9 or 2.90
= 2.9 1

19. Set 1 18. A car is travelling at 60 mph for 135 miles
Set A car is travelling at 60 mph for 135 miles. Calculate the time of travel?
S = 60 mph T = D ÷ S
D = 135 miles T = 135 ÷ 60
= 13.5 ÷ 6
= 2.25
1 3
= 2hrs 15mins

20. Set 1(Alternatively for Q18) A car is travelling at 60 mph for 135 miles. Calculate the time of travel?
S = 60 mph T = D ÷ S
D = 135 miles T = 135 ÷ 60
T = 135 = 27 = 9
= 2 ¼ hrs
= 2hrs 15mins

21. Set 1 19. Calculate 34 - 43 34 – 43 = (3 x 3 x 3 x 3) – (4 x 4 x 4)
= 81 – 64
= 17

22. Set 1 20. Calculate 500 ÷ 0.05 500 ÷ 0.05 = 500 (x 100) ÷ 0.05(x 100)
= ÷ 5 =

23. Set 1 21. Completes 8 miles in 40 minutes
Set Completes 8 miles in 40 minutes. Find the speed in miles per HOUR?
D = 8 miles S = D ÷ T
T = 40 mins S = 8 ÷ ⅔
= 40 h S = 8 x 3_
= ⅔ hrs S = 24 2
S = 12 mph

24. Set 1 22. Evaluate p2 – 2pq when p = -4 & q = 3
= (-4)2 – 2 x (-4) x 3 =
= 40

25. Set 1 23. Expand and simplify (2c – 3)2
= (2c – 3)(2c – 3)
= 4c2 – 6c – 6c + 9
= 4c2 – 12c + 9

26. Set 1 24. Expand and simplify (x – 3)(2x + 1)(x – 5)
= (x – 3)[(2x + 1)(x – 5)] 2x2 – 9x – 5
= (x – 3)[2x2 – 10x + x – 5] x 2x3 – 9x2 – 5x
= (x – 3)[2x2 – 9x – 5] x2 + 27x + 15
2x3 – 15x2 + 22x + 15
= 2x3 – 15x2 + 22x + 15

27. Set Factorise 6ab – 15bc
6ab – 15bc
= 3b(2a – 5c)

28. Set 1 26. A function f(x) = 20 – 3x2. Find f(-3)
= 20 – 3(9)
= 20 – 27
= -7

29. Set 1 27. Solve the equation 4(2x – 3) – 2(x + 5) = 8 – 4x

30. Set 1 28. Express in its simplest form x2 + x – 12 x2 – 3x

31. Set 1 29. Factorise 27a5 – 12a3 = 3a3(3a – 2)(3a + 2)

32. Set 1 30. Solve the simultaneous Equations
3a + 5b = -2 (1) If a = -4 subst into (1):-
2a – 3b = -14 (2)
(1)X 3: 9a + 15b = -6 (3) 3a b = -2
(2)X 5: 10a – 15b = -70 (4) 3(-4) + 5b = -2
(3) + (4) a = b = a = b = 10
b = 2
a = -4 & b = 2