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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 240 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 75, 62, 86 and 81? (a) 76 (b) 75 (c) 77 (d) 78
  2. 2.What is the average of 26, 45, 43 and 18? (a) 44 (b) 34 (c) 32 (d) 33
  3. 3.What is the average of 92, 84, 88, 65, 91 and 48? (a) 80 (b) 77 (c) 78 (d) 79
  4. 4.What is the average of all the whole numbers from 12 to 32? (a) 10 (b) 20 (c) 22 (d) 23
  5. 5.What is the average of all the whole numbers from 17 to 25? (a) 4 (b) 8 (c) 22 (d) 21
  6. 6.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 8 (b) 29 (c) 23 (d) 25
  7. 7.What is the average of all the whole numbers from 23 to 61? (a) 38 (b) 43 (c) 42 (d) 19
  8. 8.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 16 (b) 62 (c) 17 (d) 30
  9. 9.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 80 (b) 38 (c) 102 (d) 30
  10. 10.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 40 (b) 60 (c) 84 (d) 52
  11. 11.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 30 (b) 71 (c) 65 (d) 89
  12. 12.What is the average of all the whole numbers from 57 to 79? (a) 22 (b) 69 (c) 11 (d) 68
  13. 13.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 62 (c) 37 (d) 30
  14. 14.What is the average of 75, 54, 76, 53 and 62? (a) 64 (b) 65 (c) 80 (d) 63
  15. 15.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 81 (b) 67 (c) 60 (d) 28
  16. 16.What is the average of 55, 57, 28, 44 and 26? (a) 43 (b) 44 (c) 41 (d) 42
  17. 17.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 69 (c) 54 (d) 21
  18. 18.What is the average of 67, 73, 66, 52 and 52? (a) 61 (b) 62 (c) 63 (d) 64
  19. 19.What is the average of all the whole numbers from 55 to 77? (a) 66 (b) 11 (c) 67 (d) 22
  20. 20.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 11 (c) 22 (d) 27
  21. 21.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 35 (c) 75 (d) 47
  22. 22.What is the average of all the whole numbers from 34 to 58? (a) 12 (b) 47 (c) 24 (d) 46
  23. 23.What is the average of all the whole numbers from 45 to 77? (a) 32 (b) 16 (c) 61 (d) 62
  24. 24.What is the average of all the whole numbers from 47 to 73? (a) 13 (b) 61 (c) 26 (d) 60
  25. 25.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 50 (c) 105 (d) 65
  26. 26.What is the average of 36, 41, 21 and 34? (a) 34 (b) 32 (c) 44 (d) 33
  27. 27.What is the average of 43, 34, 36, 48, 32 and 59? (a) 44 (b) 43 (c) 42 (d) 41
  28. 28.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 119 (b) 47 (c) 80 (d) 55
  29. 29.What is the average of 55, 55, 55 and 19? (a) 45 (b) 46 (c) 48 (d) 47
  30. 30.What is the average of all the whole numbers from 51 to 87? (a) 18 (b) 70 (c) 69 (d) 36
  31. 31.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 58 (b) 20 (c) 31 (d) 47
  32. 32.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 67 (c) 10 (d) 20
  33. 33.What is the average of 50, 22, 42, 50 and 11? (a) 36 (b) 34 (c) 37 (d) 35
  34. 34.What is the average of 48, 45, 35 and 48? (a) 43 (b) 46 (c) 44 (d) 45
  35. 35.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 14 (c) 29 (d) 41
  36. 36.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 12 (b) 22 (c) 13 (d) 46
  37. 37.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 59 (c) 8 (d) 65
  38. 38.What is the average of 48, 32, 28 and 28? (a) 34 (b) 35 (c) 36 (d) 33
  39. 39.What is the average of all the whole numbers from 27 to 47? (a) 10 (b) 37 (c) 38 (d) 20
  40. 40.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 51 (c) 33 (d) 21

Answer key

  1. 76
  2. 33
  3. 78
  4. 22
  5. 21
  6. 29
  7. 42
  8. 16
  9. 102
  10. 84
  11. 89
  12. 68
  13. 62
  14. 64
  15. 81
  16. 42
  17. 69
  18. 62
  19. 66
  20. 27
  21. 75
  22. 46
  23. 61
  24. 60
  25. 105
  26. 33
  27. 42
  28. 119
  29. 46
  30. 69
  31. 47
  32. 67
  33. 35
  34. 44
  35. 41
  36. 12
  37. 65
  38. 34
  39. 37
  40. 51

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