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Set 1 1. Calculate 45 x 800

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 =. = 46 x 5. 4.6 x 10 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.

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Set 1 1. Calculate 45 x 800

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

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

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

  4. Set 1 4. Calculate 15.6 ÷ 6 15.6 ÷ 6 = 2 . 6 6 1 5 .36 = 2.6

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

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

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

  8. Set 1 8. Calculate 9 x (-12) if can’t remember exactly split it up 9 x (-12) = 9 x (-10) + 9 x (-2) = -90 -18 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 1 10. Calculate 83 + 79 83 + 79 = 82 + 80 = 162

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

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

  13. 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

  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 + 5 10 15 = 3 x 8 10 15 1 4 5 5 = 4/25

  15. Set 1 14. Calculate 5/9÷4/3 – ½ 5/9÷4/3 – ½= 5÷8 – 3 9 6 = 5 ÷5 9 6 = 5 x 6 9 5 1 2 3 1 = ⅔

  16. Set 1 15. Calculate 28.3 – 5.75 x 3 2 1 28.3 – 5.75 x 3 = 28.3 – 17.25 5 . 75 2 8 . 3 0 x 3 – 1 7 . 2 5 17.251 1 . 0 5 = 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 2 5 . 9 x 8 2 0 7 . 2 = £207.20 for 80 mugs 4 7

  18. Set 117. 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

  19. Set 118. 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

  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 60 12 4 = 2 ¼ hrs = 2hrs 15mins

  21. Set 119. Calculate 34 - 43 34 – 43 = (3 x 3 x 3 x 3) – (4 x 4 x 4) = 81 – 64 = 17

  22. Set 120. Calculate 500 ÷ 0.05 500 ÷ 0.05= 500 (x 100)÷0.05(x 100) = 50 000 ÷ 5 = 10 000

  23. Set 121. 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

  24. Set 122. Evaluate p2 – 2pq when p = -4 & q = 3 p2 – 2pq when p = -4 & q = 3 = (-4)2 – 2 x (-4) x 3 = 16 + 24 = 40

  25. Set 123. Expand and simplify (2c – 3)2 (2c – 3)2 = (2c – 3)(2c – 3) = 4c2 – 6c – 6c + 9 = 4c2 – 12c + 9

  26. Set 124. Expand and simplify (x – 3)(2x + 1)(x – 5) (x – 3)(2x + 1)(x – 5) = (x – 3)[(2x + 1)(x – 5)]2x2 – 9x – 5 = (x – 3)[2x2 – 10x + x – 5]x2x3 – 9x2– 5x = (x – 3)[2x2 – 9x – 5] -3-6x2+ 27x + 15 2x3 – 15x2 + 22x + 15 = 2x3 – 15x2 + 22x + 15

  27. Set 125. Factorise 6ab – 15bc 6ab – 15bc = 3b(2a – 5c)

  28. Set 126. A function f(x) = 20 – 3x2. Find f(-3) f(x) = 20 – 3x2 f(-3) = 20 – 3(-3)2 = 20 – 3(9) = 20 – 27 = -7

  29. Set 127. Solve the equation 4(2x – 3) – 2(x + 5) = 8 – 4x 4(2x – 3) – 2(x + 5) = 8 – 4x 8x – 12 – 2x – 10 = 8 – 4x 6x – 22 = 8 – 4x 10x = 30 x = 3

  30. Set 128. Express in its simplest form x2 + x – 12 x2 – 3x x2 + x – 12 = (x + 4)(x – 3) x2 – 3x x(x – 3) = (x + 4) x

  31. Set 129. Factorise 27a5 – 12a3 27a5 – 12a3 = 3a3(9a2 – 4) = 3a3(3a – 2)(3a + 2) = 3a3(3a – 2)(3a + 2)

  32. Set 130. 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

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