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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 674 · 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 42, 34, 30, 33, 25 and 64? (a) 40 (b) 39 (c) 37 (d) 38
  2. 2.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 62 (c) 12 (d) 52
  3. 3.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 5 (b) 34 (c) 38 (d) 67
  4. 4.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 88 (c) 35 (d) 67
  5. 5.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 30 (c) 31 (d) 50
  6. 6.What is the average of 26, 26, 43 and 53? (a) 38 (b) 37 (c) 36 (d) 39
  7. 7.What is the average of all the whole numbers from 58 to 94? (a) 36 (b) 18 (c) 76 (d) 77
  8. 8.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 103 (b) 15 (c) 14 (d) 49
  9. 9.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 8 (b) 11 (c) 9 (d) 23
  10. 10.What is the average of 57, 86, 86, 71 and 60? (a) 72 (b) 90 (c) 71 (d) 73
  11. 11.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 69 (c) 51 (d) 21
  12. 12.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 68 (b) 59 (c) 12 (d) 62
  13. 13.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 12 (b) 52 (c) 55 (d) 61
  14. 14.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 89 (b) 49 (c) 56 (d) 41
  15. 15.What is the average of 36, 15, 25 and 44? (a) 31 (b) 40 (c) 29 (d) 30
  16. 16.What is the average of 16, 27, 30 and 7? (a) 22 (b) 21 (c) 20 (d) 19
  17. 17.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 20 (c) 68 (d) 80
  18. 18.What is the average of all the whole numbers from 5 to 31? (a) 13 (b) 19 (c) 18 (d) 26
  19. 19.What is the average of 72, 69, 80, 73, 80 and 40? (a) 69 (b) 68 (c) 71 (d) 70
  20. 20.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 48 (b) 54 (c) 62 (d) 94
  21. 21.What is the average of all the whole numbers from 58 to 76? (a) 18 (b) 68 (c) 67 (d) 9
  22. 22.What is the average of all the whole numbers from 25 to 39? (a) 7 (b) 14 (c) 33 (d) 32
  23. 23.What is the average of 47, 47, 52 and 102? (a) 61 (b) 63 (c) 64 (d) 62
  24. 24.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 20 (c) 24 (d) 40
  25. 25.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 30 (b) 62 (c) 82 (d) 57
  26. 26.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 62 (b) 32 (c) 86 (d) 58
  27. 27.What is the average of 64, 88, 62 and 90? (a) 77 (b) 78 (c) 76 (d) 75
  28. 28.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 7 (b) 83 (c) 48 (d) 42
  29. 29.What is the average of 44, 38, 46, 32, 25 and 49? (a) 38 (b) 41 (c) 39 (d) 40
  30. 30.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 93 (b) 42 (c) 43 (d) 46
  31. 31.What is the average of all the whole numbers from 10 to 24? (a) 7 (b) 18 (c) 17 (d) 14
  32. 32.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 41? (a) 14 (b) 53 (c) 41 (d) 43
  33. 33.What is the average of all the whole numbers from 51 to 59? (a) 55 (b) 8 (c) 4 (d) 56
  34. 34.What is the average of 43, 39, 44 and 14? (a) 36 (b) 37 (c) 34 (d) 35
  35. 35.What is the average of 76, 50, 57 and 77? (a) 64 (b) 67 (c) 66 (d) 65
  36. 36.What is the average of all the whole numbers from 54 to 94? (a) 40 (b) 75 (c) 74 (d) 20
  37. 37.What is the average of 61, 51, 72, 56, 47 and 85? (a) 61 (b) 64 (c) 62 (d) 63
  38. 38.What is the average of all the whole numbers from 18 to 32? (a) 26 (b) 14 (c) 7 (d) 25
  39. 39.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 26 (c) 48 (d) 24
  40. 40.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 9 (b) 8 (c) 76 (d) 36

Answer key

  1. 38
  2. 62
  3. 38
  4. 88
  5. 30
  6. 37
  7. 76
  8. 14
  9. 8
  10. 72
  11. 69
  12. 68
  13. 61
  14. 89
  15. 30
  16. 20
  17. 80
  18. 18
  19. 69
  20. 94
  21. 67
  22. 32
  23. 62
  24. 40
  25. 82
  26. 86
  27. 76
  28. 48
  29. 39
  30. 42
  31. 17
  32. 53
  33. 55
  34. 35
  35. 65
  36. 74
  37. 62
  38. 25
  39. 46
  40. 8

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