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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 695 · 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 32, 46, 40, 29 and 43? (a) 40 (b) 39 (c) 37 (d) 38
  2. 2.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 48 (c) 64 (d) 96
  3. 3.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 49 (b) 80 (c) 45 (d) 38
  4. 4.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 61 (c) 30 (d) 27
  5. 5.What is the average of 48, 42, 45 and 65? (a) 50 (b) 51 (c) 49 (d) 52
  6. 6.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 19 (c) 5 (d) 29
  7. 7.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 19 (c) 54 (d) 18
  8. 8.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 65 (b) 40 (c) 29 (d) 33
  9. 9.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 42 (b) 36 (c) 37 (d) 86
  10. 10.What is the average of 34, 28, 19 and 35? (a) 31 (b) 28 (c) 29 (d) 30
  11. 11.What is the average of 40, 58, 65, 64 and 38? (a) 52 (b) 55 (c) 53 (d) 54
  12. 12.What is the average of 29, 33, 38 and 64? (a) 43 (b) 40 (c) 41 (d) 42
  13. 13.What is the average of 84, 81, 70, 57 and 63? (a) 73 (b) 70 (c) 71 (d) 72
  14. 14.What is the average of 72, 80, 93, 89 and 61? (a) 78 (b) 80 (c) 79 (d) 81
  15. 15.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 61? (a) 63 (b) 61 (c) 8 (d) 67
  16. 16.What is the average of all the whole numbers from 41 to 55? (a) 14 (b) 7 (c) 49 (d) 48
  17. 17.What is the average of all the whole numbers from 55 to 75? (a) 20 (b) 10 (c) 65 (d) 66
  18. 18.What is the average of 52, 58, 70 and 48? (a) 56 (b) 76 (c) 57 (d) 58
  19. 19.What is the average of 46, 60, 43, 42, 46 and 69? (a) 52 (b) 50 (c) 51 (d) 53
  20. 20.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 43 (b) 81 (c) 73 (d) 35
  21. 21.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 20 (b) 94 (c) 65 (d) 49
  22. 22.What is the average of all the whole numbers from 39 to 67? (a) 14 (b) 53 (c) 54 (d) 28
  23. 23.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 30 (b) 21 (c) 13 (d) 38
  24. 24.What is the average of 44, 24, 34, 41 and 32? (a) 34 (b) 36 (c) 37 (d) 35
  25. 25.What is the average of 9, 10, 8, 31 and 57? (a) 22 (b) 25 (c) 24 (d) 23
  26. 26.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 15 (c) 27 (d) 26
  27. 27.What is the average of 42, 40, 57, 34, 41 and 50? (a) 46 (b) 44 (c) 43 (d) 45
  28. 28.What is the average of 65, 86, 83 and 54? (a) 96 (b) 73 (c) 72 (d) 71
  29. 29.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 30 (b) 33 (c) 58 (d) 38
  30. 30.What is the average of all the whole numbers from 44 to 60? (a) 16 (b) 53 (c) 52 (d) 8
  31. 31.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 20 (c) 28 (d) 36
  32. 32.What is the average of 66, 76, 71, 74 and 88? (a) 77 (b) 74 (c) 75 (d) 76
  33. 33.What is the average of all the whole numbers from 11 to 19? (a) 15 (b) 16 (c) 4 (d) 8
  34. 34.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 71 (b) 24 (c) 37 (d) 58
  35. 35.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 18 (b) 3 (c) 41 (d) 4
  36. 36.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 72 (b) 66 (c) 63 (d) 12
  37. 37.What is the average of all the whole numbers from 51 to 63? (a) 57 (b) 12 (c) 6 (d) 58
  38. 38.What is the average of all the whole numbers from 19 to 35? (a) 8 (b) 16 (c) 28 (d) 27
  39. 39.What is the average of 30, 32, 30, 21, 39 and 64? (a) 38 (b) 36 (c) 35 (d) 37
  40. 40.What is the average of all the whole numbers from 32 to 56? (a) 24 (b) 12 (c) 45 (d) 44

Answer key

  1. 38
  2. 96
  3. 80
  4. 26
  5. 50
  6. 19
  7. 18
  8. 65
  9. 36
  10. 29
  11. 53
  12. 41
  13. 71
  14. 79
  15. 67
  16. 48
  17. 65
  18. 57
  19. 51
  20. 73
  21. 65
  22. 53
  23. 38
  24. 35
  25. 23
  26. 27
  27. 44
  28. 72
  29. 58
  30. 52
  31. 36
  32. 75
  33. 15
  34. 58
  35. 3
  36. 72
  37. 57
  38. 27
  39. 36
  40. 44

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