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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 222 · 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 70, 91, 91 and 52? (a) 77 (b) 78 (c) 76 (d) 75
  2. 2.What is the average of 52, 54, 57, 51, 57 and 89? (a) 59 (b) 61 (c) 72 (d) 60
  3. 3.What is the average of 33, 21, 27 and 55? (a) 36 (b) 35 (c) 33 (d) 34
  4. 4.What is the average of 27, 44, 46, 26, 43 and 42? (a) 37 (b) 39 (c) 38 (d) 40
  5. 5.What is the average of all the whole numbers from 37 to 51? (a) 45 (b) 44 (c) 14 (d) 7
  6. 6.What is the average of 35, 29, 29, 38 and 54? (a) 36 (b) 37 (c) 38 (d) 39
  7. 7.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 109 (c) 61 (d) 55
  8. 8.What is the average of 63, 63, 54 and 72? (a) 64 (b) 63 (c) 84 (d) 62
  9. 9.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 40 (c) 91 (d) 67
  10. 10.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 42 (b) 30 (c) 34 (d) 16
  11. 11.What is the average of 64, 79, 71 and 74? (a) 96 (b) 72 (c) 73 (d) 71
  12. 12.What is the average of all the whole numbers from 50 to 86? (a) 69 (b) 18 (c) 68 (d) 36
  13. 13.What is the average of all the whole numbers from 13 to 23? (a) 5 (b) 18 (c) 10 (d) 19
  14. 14.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 35 (c) 76 (d) 46
  15. 15.What is the average of 88, 69, 84 and 79? (a) 81 (b) 80 (c) 79 (d) 82
  16. 16.What is the average of 54, 50, 50, 55, 41 and 74? (a) 54 (b) 55 (c) 53 (d) 56
  17. 17.What is the average of 39, 33, 41, 21, 21 and 61? (a) 37 (b) 38 (c) 35 (d) 36
  18. 18.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 44 (c) 14 (d) 34
  19. 19.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 48 (d) 20
  20. 20.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 7 (b) 19 (c) 25 (d) 13
  21. 21.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 36 (b) 59 (c) 89 (d) 65
  22. 22.What is the average of all the whole numbers from 6 to 44? (a) 25 (b) 19 (c) 38 (d) 26
  23. 23.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 25 (c) 5 (d) 13
  24. 24.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 89 (b) 35 (c) 47 (d) 77
  25. 25.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 39? (a) 57 (b) 45 (c) 24 (d) 39
  26. 26.What is the average of 32, 34, 21, 43, 45 and 29? (a) 33 (b) 34 (c) 35 (d) 36
  27. 27.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 66 (c) 12 (d) 44
  28. 28.What is the average of 53, 46, 60 and 77? (a) 60 (b) 59 (c) 61 (d) 58
  29. 29.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 16 (c) 41 (d) 15
  30. 30.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 35 (c) 98 (d) 36
  31. 31.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 8 (b) 88 (c) 51 (d) 45
  32. 32.What is the average of 36, 35, 15, 10 and 24? (a) 23 (b) 25 (c) 24 (d) 30
  33. 33.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 72 (b) 57 (c) 62 (d) 20
  34. 34.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 32 (b) 46 (c) 33 (d) 94
  35. 35.What is the average of all the whole numbers from 40 to 66? (a) 54 (b) 26 (c) 53 (d) 13
  36. 36.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 15 (c) 19 (d) 23
  37. 37.What is the average of 61, 86, 86, 81, 84 and 34? (a) 74 (b) 71 (c) 72 (d) 73
  38. 38.What is the average of 66, 50, 68, 66 and 70? (a) 63 (b) 65 (c) 64 (d) 80
  39. 39.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 47? (a) 47 (b) 79 (c) 51 (d) 36
  40. 40.What is the average of all the whole numbers from 60 to 100? (a) 81 (b) 40 (c) 20 (d) 80

Answer key

  1. 76
  2. 60
  3. 34
  4. 38
  5. 44
  6. 37
  7. 109
  8. 63
  9. 91
  10. 42
  11. 72
  12. 68
  13. 18
  14. 76
  15. 80
  16. 54
  17. 36
  18. 44
  19. 48
  20. 19
  21. 89
  22. 25
  23. 17
  24. 77
  25. 57
  26. 34
  27. 44
  28. 59
  29. 15
  30. 35
  31. 51
  32. 24
  33. 72
  34. 32
  35. 53
  36. 23
  37. 72
  38. 64
  39. 79
  40. 80

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