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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 572 · 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 all the whole numbers from 7 to 29? (a) 19 (b) 11 (c) 18 (d) 22
  2. 2.What is the average of all the whole numbers from 39 to 57? (a) 49 (b) 9 (c) 48 (d) 18
  3. 3.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 27 (c) 20 (d) 18
  4. 4.What is the average of 49, 40, 28 and 47? (a) 43 (b) 41 (c) 40 (d) 42
  5. 5.What is the average of 26, 42, 40 and 8? (a) 31 (b) 30 (c) 29 (d) 28
  6. 6.What is the average of 45, 50, 49, 71 and 70? (a) 58 (b) 57 (c) 59 (d) 56
  7. 7.What is the average of 20, 28, 22 and 42? (a) 30 (b) 27 (c) 28 (d) 29
  8. 8.What is the average of 32, 26, 14, 23, 29 and 20? (a) 24 (b) 25 (c) 26 (d) 23
  9. 9.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 68 (c) 24 (d) 56
  10. 10.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 13 (c) 27 (d) 24
  11. 11.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 27 (c) 93 (d) 28
  12. 12.What is the average of 74, 75, 69, 80 and 72? (a) 76 (b) 73 (c) 75 (d) 74
  13. 13.What is the average of 43, 44, 68, 59, 52 and 76? (a) 59 (b) 56 (c) 57 (d) 58
  14. 14.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 60 (c) 24 (d) 48
  15. 15.What is the average of 75, 61, 70 and 62? (a) 67 (b) 66 (c) 69 (d) 68
  16. 16.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 16 (c) 17 (d) 76
  17. 17.What is the average of all the whole numbers from 49 to 57? (a) 54 (b) 8 (c) 4 (d) 53
  18. 18.What is the average of all the whole numbers from 10 to 18? (a) 14 (b) 4 (c) 15 (d) 8
  19. 19.What is the average of 55, 62, 62 and 65? (a) 63 (b) 60 (c) 62 (d) 61
  20. 20.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 57 (c) 47 (d) 12
  21. 21.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 36 (b) 105 (c) 50 (d) 35
  22. 22.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) 75 (b) 21 (c) 35 (d) 20
  23. 23.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 72 (b) 57 (c) 121 (d) 65
  24. 24.What is the average of all the whole numbers from 40 to 70? (a) 55 (b) 15 (c) 30 (d) 56
  25. 25.What is the average of 48, 39, 59 and 34? (a) 44 (b) 60 (c) 46 (d) 45
  26. 26.What is the average of all the whole numbers from 9 to 21? (a) 15 (b) 6 (c) 12 (d) 16
  27. 27.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 81 (b) 60 (c) 21 (d) 42
  28. 28.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 24 (b) 70 (c) 95 (d) 49
  29. 29.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 22 (b) 15 (c) 34 (d) 41
  30. 30.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 122 (c) 58 (d) 80
  31. 31.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 18 (b) 41 (c) 56 (d) 79
  32. 32.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 70 (c) 60 (d) 12
  33. 33.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 76 (b) 45 (c) 36 (d) 41
  34. 34.What is the average of 86, 73, 72, 82, 65 and 90? (a) 78 (b) 80 (c) 79 (d) 77
  35. 35.What is the average of 72, 68, 70, 54, 74 and 52? (a) 64 (b) 65 (c) 66 (d) 78
  36. 36.What is the average of 51, 52, 35, 28 and 24? (a) 40 (b) 37 (c) 39 (d) 38
  37. 37.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 13 (b) 14 (c) 33 (d) 16
  38. 38.What is the average of 27, 43, 23, 20 and 37? (a) 29 (b) 30 (c) 32 (d) 31
  39. 39.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 25 (c) 58 (d) 38
  40. 40.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 38 (b) 81 (c) 24 (d) 23

Answer key

  1. 18
  2. 48
  3. 27
  4. 41
  5. 29
  6. 57
  7. 28
  8. 24
  9. 68
  10. 27
  11. 27
  12. 74
  13. 57
  14. 60
  15. 67
  16. 16
  17. 53
  18. 14
  19. 61
  20. 57
  21. 35
  22. 20
  23. 121
  24. 55
  25. 45
  26. 15
  27. 60
  28. 70
  29. 34
  30. 122
  31. 56
  32. 70
  33. 76
  34. 78
  35. 65
  36. 38
  37. 13
  38. 30
  39. 58
  40. 23

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