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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 889 · 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 29 to 37? (a) 33 (b) 8 (c) 4 (d) 34
  2. 2.What is the average of 41, 41, 68, 52 and 68? (a) 54 (b) 53 (c) 55 (d) 56
  3. 3.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 20 (c) 4 (d) 33
  4. 4.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 17 (c) 14 (d) 29
  5. 5.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 9 (c) 8 (d) 27
  6. 6.What is the average of 82, 80, 63 and 59? (a) 71 (b) 72 (c) 73 (d) 70
  7. 7.What is the average of 45, 44, 44 and 91? (a) 56 (b) 58 (c) 57 (d) 55
  8. 8.What is the average of 74, 69, 55, 58, 56 and 108? (a) 69 (b) 71 (c) 84 (d) 70
  9. 9.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 84 (c) 48 (d) 42
  10. 10.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 12 (b) 36 (c) 26 (d) 50
  11. 11.What is the average of all the whole numbers from 17 to 41? (a) 24 (b) 29 (c) 30 (d) 12
  12. 12.What is the average of all the whole numbers from 42 to 60? (a) 9 (b) 51 (c) 52 (d) 18
  13. 13.What is the average of 44, 28, 32, 45, 34 and 3? (a) 32 (b) 31 (c) 33 (d) 30
  14. 14.What is the average of all the whole numbers from 48 to 62? (a) 7 (b) 56 (c) 55 (d) 14
  15. 15.What is the average of all the whole numbers from 52 to 60? (a) 57 (b) 4 (c) 56 (d) 8
  16. 16.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 15 (c) 39 (d) 16
  17. 17.What is the average of 68, 51, 48, 43 and 70? (a) 56 (b) 57 (c) 70 (d) 55
  18. 18.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 43 (b) 84 (c) 16 (d) 57
  19. 19.What is the average of all the whole numbers from 38 to 62? (a) 24 (b) 50 (c) 12 (d) 51
  20. 20.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 30 (b) 72 (c) 89 (d) 47
  21. 21.What is the average of 10, 24, 36, 26 and 29? (a) 27 (b) 26 (c) 25 (d) 24
  22. 22.What is the average of 31, 32, 56 and 53? (a) 43 (b) 44 (c) 45 (d) 42
  23. 23.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 66 (b) 96 (c) 50 (d) 20
  24. 24.What is the average of all the whole numbers from 58 to 72? (a) 7 (b) 14 (c) 65 (d) 66
  25. 25.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 18 (b) 47 (c) 61 (d) 45
  26. 26.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 35 (b) 7 (c) 24 (d) 18
  27. 27.What is the average of 75, 75, 60, 81, 61 and 74? (a) 71 (b) 72 (c) 70 (d) 73
  28. 28.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 31 (b) 71 (c) 30 (d) 35
  29. 29.What is the average of 14, 31, 28, 31 and 11? (a) 24 (b) 25 (c) 22 (d) 23
  30. 30.What is the average of 84, 90, 70, 69 and 82? (a) 80 (b) 81 (c) 78 (d) 79
  31. 31.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 95 (b) 47 (c) 55 (d) 56
  32. 32.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 29? (a) 29 (b) 70 (c) 92 (d) 36
  33. 33.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 42 (b) 44 (c) 50 (d) 80
  34. 34.What is the average of all the whole numbers from 13 to 45? (a) 16 (b) 30 (c) 29 (d) 32
  35. 35.What is the average of 27, 39, 29, 24 and 51? (a) 34 (b) 36 (c) 35 (d) 33
  36. 36.What is the average of all the whole numbers from 9 to 19? (a) 10 (b) 5 (c) 14 (d) 15
  37. 37.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 17 (c) 35 (d) 41
  38. 38.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 61 (b) 35 (c) 31 (d) 5
  39. 39.What is the average of all the whole numbers from 20 to 58? (a) 19 (b) 38 (c) 39 (d) 40
  40. 40.What is the average of 31, 45, 57 and 35? (a) 41 (b) 43 (c) 56 (d) 42

Answer key

  1. 33
  2. 54
  3. 20
  4. 29
  5. 8
  6. 71
  7. 56
  8. 70
  9. 84
  10. 36
  11. 29
  12. 51
  13. 31
  14. 55
  15. 56
  16. 15
  17. 56
  18. 57
  19. 50
  20. 72
  21. 25
  22. 43
  23. 66
  24. 65
  25. 61
  26. 24
  27. 71
  28. 30
  29. 23
  30. 79
  31. 95
  32. 92
  33. 80
  34. 29
  35. 34
  36. 14
  37. 41
  38. 35
  39. 39
  40. 42

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