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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 394 · 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 51, 65, 72 and 44? (a) 59 (b) 60 (c) 57 (d) 58
  2. 2.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 47 (c) 31 (d) 24
  3. 3.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 19 (c) 16 (d) 4
  4. 4.What is the average of all the whole numbers from 57 to 63? (a) 60 (b) 3 (c) 6 (d) 61
  5. 5.What is the average of 37, 30, 49 and 60? (a) 44 (b) 46 (c) 45 (d) 43
  6. 6.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 20 (b) 53 (c) 43 (d) 38
  7. 7.What is the average of 64, 52, 77, 49, 66 and 70? (a) 63 (b) 62 (c) 64 (d) 65
  8. 8.What is the average of 47, 63, 53, 39 and 63? (a) 55 (b) 54 (c) 53 (d) 52
  9. 9.What is the average of 74, 57, 64, 74, 83 and 68? (a) 69 (b) 71 (c) 70 (d) 84
  10. 10.What is the average of 46, 51, 68 and 59? (a) 56 (b) 57 (c) 55 (d) 58
  11. 11.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 8 (c) 37 (d) 60
  12. 12.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 23 (c) 29 (d) 20
  13. 13.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 38 (b) 21 (c) 79 (d) 20
  14. 14.What is the average of all the whole numbers from 55 to 81? (a) 26 (b) 68 (c) 69 (d) 13
  15. 15.What is the average of 30, 19, 37, 21 and 8? (a) 25 (b) 24 (c) 22 (d) 23
  16. 16.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 55 (c) 4 (d) 31
  17. 17.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 26 (c) 15 (d) 25
  18. 18.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 8 (b) 26 (c) 20 (d) 14
  19. 19.What is the average of 11, 14, 10 and 65? (a) 27 (b) 26 (c) 24 (d) 25
  20. 20.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 32 (c) 48 (d) 18
  21. 21.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 46? (a) 88 (b) 46 (c) 49 (d) 53
  22. 22.What is the average of all the whole numbers from 31 to 57? (a) 26 (b) 45 (c) 13 (d) 44
  23. 23.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 65 (b) 30 (c) 15 (d) 16
  24. 24.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 8 (b) 37 (c) 19 (d) 26
  25. 25.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 36 (b) 63 (c) 57 (d) 87
  26. 26.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 68 (b) 92 (c) 36 (d) 62
  27. 27.What is the average of 16, 26, 15, 27 and 56? (a) 27 (b) 35 (c) 28 (d) 29
  28. 28.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 61? (a) 64 (b) 18 (c) 61 (d) 76
  29. 29.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 76 (b) 37 (c) 26 (d) 25
  30. 30.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 28 (b) 49 (c) 73 (d) 53
  31. 31.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 20 (c) 49 (d) 27
  32. 32.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 64 (b) 57 (c) 105 (d) 49
  33. 33.What is the average of 36, 27, 32, 44 and 16? (a) 30 (b) 33 (c) 32 (d) 31
  34. 34.What is the average of 63, 62, 66, 62 and 52? (a) 60 (b) 63 (c) 62 (d) 61
  35. 35.What is the average of 25, 13, 34, 16, 34 and 16? (a) 23 (b) 25 (c) 22 (d) 24
  36. 36.What is the average of 72, 76, 57, 61 and 49? (a) 62 (b) 64 (c) 65 (d) 63
  37. 37.What is the average of 14, 12, 32, 18, 39 and 35? (a) 25 (b) 26 (c) 24 (d) 30
  38. 38.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 40 (c) 55 (d) 87
  39. 39.What is the average of 44, 43, 27 and 6? (a) 29 (b) 30 (c) 40 (d) 31
  40. 40.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 8 (c) 9 (d) 38

Answer key

  1. 58
  2. 31
  3. 19
  4. 60
  5. 44
  6. 53
  7. 63
  8. 53
  9. 70
  10. 56
  11. 37
  12. 29
  13. 20
  14. 68
  15. 23
  16. 31
  17. 26
  18. 20
  19. 25
  20. 48
  21. 88
  22. 44
  23. 15
  24. 26
  25. 87
  26. 92
  27. 28
  28. 76
  29. 25
  30. 73
  31. 42
  32. 105
  33. 31
  34. 61
  35. 23
  36. 63
  37. 25
  38. 87
  39. 30
  40. 8

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