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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 441 · 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 6 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 11 (b) 23 (c) 6 (d) 7
  2. 2.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 75 (c) 57 (d) 59
  3. 3.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 23 (c) 17 (d) 6
  4. 4.What is the average of 21, 24, 25 and 34? (a) 27 (b) 25 (c) 26 (d) 28
  5. 5.What is the average of 28, 25, 50, 29, 44 and 46? (a) 39 (b) 38 (c) 36 (d) 37
  6. 6.What is the average of all the whole numbers from 26 to 48? (a) 22 (b) 37 (c) 38 (d) 11
  7. 7.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 83 (c) 30 (d) 56
  8. 8.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 27 (c) 48 (d) 24
  9. 9.What is the average of all the whole numbers from 36 to 68? (a) 16 (b) 53 (c) 32 (d) 52
  10. 10.What is the average of 41, 53, 64, 58, 40 and 62? (a) 52 (b) 54 (c) 55 (d) 53
  11. 11.What is the average of all the whole numbers from 33 to 61? (a) 48 (b) 14 (c) 28 (d) 47
  12. 12.What is the average of 49, 38, 44, 52 and 77? (a) 52 (b) 53 (c) 51 (d) 65
  13. 13.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 21 (b) 49 (c) 95 (d) 67
  14. 14.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 20 (c) 40 (d) 45
  15. 15.What is the average of all the whole numbers from 45 to 59? (a) 53 (b) 7 (c) 52 (d) 14
  16. 16.What is the average of 74, 80, 65, 73 and 38? (a) 68 (b) 65 (c) 66 (d) 67
  17. 17.What is the average of all the whole numbers from 57 to 91? (a) 74 (b) 17 (c) 34 (d) 75
  18. 18.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 30 (c) 48 (d) 31
  19. 19.What is the average of 66, 59, 63, 46 and 51? (a) 56 (b) 59 (c) 57 (d) 58
  20. 20.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 40 (c) 51 (d) 83
  21. 21.What is the average of 36, 27, 33, 14, 36 and 10? (a) 26 (b) 28 (c) 25 (d) 27
  22. 22.What is the average of all the whole numbers from 52 to 74? (a) 11 (b) 63 (c) 64 (d) 22
  23. 23.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 28 (b) 16 (c) 10 (d) 34
  24. 24.What is the average of 54, 49, 47, 68, 66 and 76? (a) 59 (b) 61 (c) 60 (d) 72
  25. 25.What is the average of all the whole numbers from 23 to 57? (a) 40 (b) 41 (c) 17 (d) 34
  26. 26.What is the average of all the whole numbers from 38 to 66? (a) 52 (b) 28 (c) 53 (d) 14
  27. 27.What is the average of 34, 37, 40, 40 and 14? (a) 32 (b) 35 (c) 33 (d) 34
  28. 28.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 5 (b) 14 (c) 4 (d) 30
  29. 29.What is the average of all the whole numbers from 37 to 45? (a) 4 (b) 41 (c) 42 (d) 8
  30. 30.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) 24 (b) 68 (c) 56 (d) 50
  31. 31.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 67 (c) 90 (d) 47
  32. 32.What is the average of all the whole numbers from 16 to 28? (a) 12 (b) 22 (c) 23 (d) 6
  33. 33.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 40 (c) 6 (d) 69
  34. 34.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 91 (c) 40 (d) 41
  35. 35.What is the average of 69, 55, 48 and 64? (a) 59 (b) 61 (c) 58 (d) 60
  36. 36.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 79 (b) 34 (c) 39 (d) 50
  37. 37.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 32 (c) 58 (d) 74
  38. 38.What is the average of 85, 59, 80, 84, 57 and 67? (a) 73 (b) 72 (c) 71 (d) 74
  39. 39.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 90 (c) 32 (d) 66
  40. 40.What is the average of all the whole numbers from 39 to 57? (a) 49 (b) 9 (c) 18 (d) 48

Answer key

  1. 6
  2. 75
  3. 17
  4. 26
  5. 37
  6. 37
  7. 83
  8. 48
  9. 52
  10. 53
  11. 47
  12. 52
  13. 67
  14. 40
  15. 52
  16. 66
  17. 74
  18. 30
  19. 57
  20. 83
  21. 26
  22. 63
  23. 34
  24. 60
  25. 40
  26. 52
  27. 33
  28. 4
  29. 41
  30. 68
  31. 67
  32. 22
  33. 40
  34. 40
  35. 59
  36. 79
  37. 74
  38. 72
  39. 90
  40. 48

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