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

Set 1 2. Calculate 4.6 x 50 4.6 x 50 = 4.6 x 10 x 5 = 46 x 5 = 230

Set 1 3. Calculate 9.9 + 6.6 9.9 + 6.6 (mentally = 10 + 6.5) = 16.5

Set 1 4. Calculate 15.6 ÷ 6 15.6 ÷ 6 = 2 . 6 6 1 5 .3 6 = 2.6

1.26 ÷ 100  move back two decimal positions _ . _ 1 . 2 6 Set 1 5. Calculate 1.26 ÷ 100 1.26 ÷ 100  move back two decimal positions _ . _ 1 . 2 6 . = 0.0126

Set 1 6. Calculate ⅓ of 84 ⅓ of 84 = 84 ÷ 3 = 28

Set 1 7. Calculate 100 – 63.26 100 – 63.26 = 100 – 63 – 0.26 = 37 – 0.26 = 36.74

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) = -90 -18 9 x (-12) = -108

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

Set 1 10. Calculate 83 + 79 83 + 79 = 82 + 80 = 162

Set 1 11. Calculate 24/5 + 3⅓ 24/5 + 3⅓ = 2 + 3 + 4/5 + ⅓ 24/5 + 3⅓ = 2 + 3 + 4/5 + ⅓ = 5 + 12 + 5 = 5 + 17 15 15 15 = 6 2/15

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

Alternatively 15/6 x 9/11 = 11 x 9 = 99 = 9 6 11 66 6 Set 1 12. Calculate 15/6 x 9/11 Alternatively 15/6 x 9/11 = 11 x 9 = 99 = 9 6 11 66 6 = 3/2 or 1½

Set 1 13. Calculate 3/10 of 1/5 + ⅓ 3/10 of 1/5 + ⅓ = 3 x 1 + 1 10 5 3 10 5 3 = 3 x 3 + 5 10 15 = 3 x 8 10 15 1 4 5 5 = 4/25

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 ÷ 8 – 3 9 6 = 5 ÷ 5 9 6 = 5 x 6 9 5 1 2 3 1 = ⅔

Set 1 15. Calculate 28.3 – 5.75 x 3 28.3 – 5.75 x 3 = 28.3 – 17.25 5 . 75 2 8 . 3 0 x 3 – 1 7 . 2 5 17.25 1 1 . 0 5 2 1 = 11.05 2 1

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 2 5 . 9 x 8 2 0 7 . 2 = £207.20 for 80 mugs 4 7

Set 1 17. Calculate 14.5 x 0.2 14.5 x 0.2 = 14.5 x 2 x 0.1 = 29.0 x 0.1 1 4 . 5 = 29.0 ÷ 10 x 2 = 2.9 or 2.90 2 9 . 0 = 2.9 1

Set 1 18. A car is travelling at 60 mph for 135 miles Set 1 18. 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 2 . 2 5 = 13.5 ÷ 6 6 1 3 . 5 0 = 2.25 1 3 = 2hrs 15mins

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 60 12 4 = 2 ¼ hrs = 2hrs 15mins

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

Set 1 20. Calculate 500 ÷ 0.05 500 ÷ 0.05 = 500 (x 100) ÷ 0.05(x 100) = 50 000 ÷ 5 = 10 000

Set 1 21. Completes 8 miles in 40 minutes Set 1 21. 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_ 60 2 = ⅔ hrs S = 24 2 S = 12 mph

Set 1 22. Evaluate p2 – 2pq when p = -4 & q = 3 = (-4)2 – 2 x (-4) x 3 = 16 + 24 = 40

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

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] -3 -6x2 + 27x + 15 2x3 – 15x2 + 22x + 15 = 2x3 – 15x2 + 22x + 15

Set 1 25. Factorise 6ab – 15bc 6ab – 15bc = 3b(2a – 5c)

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

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

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

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

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 + 5b = -2 (2)X 5: 10a – 15b = -70 (4) 3(-4) + 5b = -2 (3) + (4) 19a = -76 -12 + 5b = -2 a = -4 5b = 10 b = 2 a = -4 & b = 2