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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 317 · 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.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 56 (b) 49 (c) 97 (d) 8
  2. 2.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 20 (c) 21 (d) 75
  3. 3.What is the average of 28, 53, 27, 56, 41 and 47? (a) 44 (b) 43 (c) 42 (d) 41
  4. 4.What is the average of all the whole numbers from 53 to 89? (a) 36 (b) 18 (c) 71 (d) 72
  5. 5.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 46 (b) 94 (c) 38 (d) 39
  6. 6.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 16 (b) 23 (c) 11 (d) 18
  7. 7.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 80 (b) 33 (c) 39 (d) 34
  8. 8.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) 37 (b) 30 (c) 42 (d) 62
  9. 9.What is the average of 24, 49, 39, 21, 20 and 57? (a) 34 (b) 36 (c) 42 (d) 35
  10. 10.What is the average of 55, 61, 56 and 100? (a) 67 (b) 69 (c) 70 (d) 68
  11. 11.What is the average of 57, 61, 47, 59 and 81? (a) 61 (b) 62 (c) 63 (d) 60
  12. 12.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 81 (b) 30 (c) 57 (d) 54
  13. 13.What is the average of all the whole numbers from 40 to 78? (a) 59 (b) 19 (c) 38 (d) 60
  14. 14.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 40 (c) 20 (d) 55
  15. 15.What is the average of 56, 58, 51, 47 and 58? (a) 55 (b) 54 (c) 56 (d) 53
  16. 16.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 41 (b) 7 (c) 87 (d) 6
  17. 17.What is the average of 32, 18, 30, 39, 40 and 21? (a) 31 (b) 36 (c) 29 (d) 30
  18. 18.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 42 (b) 57 (c) 79 (d) 20
  19. 19.What is the average of all the whole numbers from 38 to 64? (a) 26 (b) 13 (c) 52 (d) 51
  20. 20.What is the average of 75, 58, 82, 84, 65 and 50? (a) 70 (b) 68 (c) 69 (d) 71
  21. 21.What is the average of 25, 16, 27 and 28? (a) 32 (b) 24 (c) 25 (d) 23
  22. 22.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 23 (c) 25 (d) 15
  23. 23.What is the average of 66, 79, 65, 54 and 66? (a) 67 (b) 68 (c) 66 (d) 65
  24. 24.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 15 (b) 37 (c) 49 (d) 71
  25. 25.What is the average of all the whole numbers from 7 to 29? (a) 11 (b) 18 (c) 22 (d) 19
  26. 26.What is the average of 61, 62, 54, 60, 48 and 9? (a) 50 (b) 49 (c) 51 (d) 48
  27. 27.What is the average of 71, 94, 69, 92, 81 and 67? (a) 80 (b) 78 (c) 81 (d) 79
  28. 28.What is the average of 73, 77, 81, 77, 65 and 83? (a) 75 (b) 78 (c) 76 (d) 77
  29. 29.What is the average of 52, 36, 39 and 41? (a) 56 (b) 43 (c) 41 (d) 42
  30. 30.What is the average of all the whole numbers from 22 to 56? (a) 17 (b) 39 (c) 40 (d) 34
  31. 31.What is the average of all the whole numbers from 39 to 63? (a) 24 (b) 52 (c) 51 (d) 12
  32. 32.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 39 (c) 6 (d) 44
  33. 33.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 65? (a) 32 (b) 73 (c) 89 (d) 65
  34. 34.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 27 (c) 63 (d) 87
  35. 35.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 69 (b) 79 (c) 64 (d) 20
  36. 36.What is the average of 37, 36, 19, 30, 38 and 8? (a) 27 (b) 29 (c) 28 (d) 30
  37. 37.What is the average of 59, 49, 50, 50, 54 and 104? (a) 60 (b) 63 (c) 61 (d) 62
  38. 38.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 38 (b) 50 (c) 14 (d) 26
  39. 39.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 73 (c) 57 (d) 61
  40. 40.What is the average of 69, 64, 91, 69, 91 and 78? (a) 76 (b) 79 (c) 78 (d) 77

Answer key

  1. 56
  2. 20
  3. 42
  4. 71
  5. 38
  6. 23
  7. 33
  8. 62
  9. 35
  10. 68
  11. 61
  12. 81
  13. 59
  14. 55
  15. 54
  16. 6
  17. 30
  18. 57
  19. 51
  20. 69
  21. 24
  22. 25
  23. 66
  24. 49
  25. 18
  26. 49
  27. 79
  28. 76
  29. 42
  30. 39
  31. 51
  32. 44
  33. 89
  34. 87
  35. 79
  36. 28
  37. 61
  38. 38
  39. 73
  40. 77

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