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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 815 · 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 all the whole numbers from 58 to 64? (a) 6 (b) 61 (c) 62 (d) 3
  2. 2.What is the average of 36, 29, 30, 50, 36 and 47? (a) 40 (b) 39 (c) 37 (d) 38
  3. 3.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 35 (b) 82 (c) 57 (d) 52
  4. 4.What is the average of 56, 44, 56, 51, 31 and 14? (a) 41 (b) 42 (c) 44 (d) 43
  5. 5.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 47 (b) 25 (c) 67 (d) 89
  6. 6.What is the average of 9, 8, 28, 9 and 56? (a) 23 (b) 22 (c) 24 (d) 21
  7. 7.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 13 (c) 12 (d) 7
  8. 8.What is the average of 33, 41, 29, 23 and 14? (a) 35 (b) 28 (c) 29 (d) 27
  9. 9.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 47 (c) 4 (d) 93
  10. 10.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 76 (b) 92 (c) 32 (d) 48
  11. 11.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 23 (c) 81 (d) 38
  12. 12.What is the average of 60, 66, 58, 72, 49 and 37? (a) 58 (b) 57 (c) 59 (d) 56
  13. 13.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 30 (b) 29 (c) 35 (d) 53
  14. 14.What is the average of all the whole numbers from 14 to 34? (a) 10 (b) 20 (c) 24 (d) 25
  15. 15.What is the average of 50, 58, 50 and 18? (a) 45 (b) 46 (c) 43 (d) 44
  16. 16.What is the average of 61, 52, 45, 48 and 69? (a) 54 (b) 56 (c) 55 (d) 57
  17. 17.What is the average of all the whole numbers from 50 to 64? (a) 58 (b) 7 (c) 14 (d) 57
  18. 18.What is the average of all the whole numbers from 17 to 51? (a) 35 (b) 17 (c) 34 (d) 33
  19. 19.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 70 (c) 110 (d) 56
  20. 20.What is the average of all the whole numbers from 59 to 81? (a) 22 (b) 70 (c) 11 (d) 71
  21. 21.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 49 (b) 67 (c) 102 (d) 60
  22. 22.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 83 (b) 59 (c) 44 (d) 20
  23. 23.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 44 (c) 83 (d) 74
  24. 24.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 35? (a) 40 (b) 35 (c) 45 (d) 75
  25. 25.What is the average of 82, 58, 68, 69, 77 and 54? (a) 70 (b) 69 (c) 68 (d) 67
  26. 26.What is the average of 45, 43, 60 and 40? (a) 46 (b) 49 (c) 48 (d) 47
  27. 27.What is the average of 50, 47, 47 and 80? (a) 57 (b) 55 (c) 58 (d) 56
  28. 28.What is the average of 60, 80, 58 and 66? (a) 88 (b) 65 (c) 66 (d) 67
  29. 29.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 4 (c) 3 (d) 34
  30. 30.What is the average of 37, 44, 43, 44 and 27? (a) 40 (b) 38 (c) 41 (d) 39
  31. 31.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 16 (b) 45 (c) 62 (d) 33
  32. 32.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 73 (c) 36 (d) 34
  33. 33.What is the average of 57, 38, 67, 59 and 39? (a) 53 (b) 51 (c) 65 (d) 52
  34. 34.What is the average of 52, 69, 65, 48, 45 and 63? (a) 56 (b) 58 (c) 57 (d) 59
  35. 35.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 41 (d) 25
  36. 36.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 28 (b) 55 (c) 76 (d) 62
  37. 37.What is the average of all the whole numbers from 30 to 38? (a) 34 (b) 4 (c) 8 (d) 35
  38. 38.What is the average of all the whole numbers from 7 to 15? (a) 4 (b) 12 (c) 11 (d) 8
  39. 39.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 7 (b) 59 (c) 27 (d) 8
  40. 40.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 87 (b) 52 (c) 42 (d) 59

Answer key

  1. 61
  2. 38
  3. 82
  4. 42
  5. 67
  6. 22
  7. 12
  8. 28
  9. 50
  10. 76
  11. 23
  12. 57
  13. 53
  14. 24
  15. 44
  16. 55
  17. 57
  18. 34
  19. 110
  20. 70
  21. 102
  22. 59
  23. 74
  24. 75
  25. 68
  26. 47
  27. 56
  28. 66
  29. 3
  30. 39
  31. 45
  32. 33
  33. 52
  34. 57
  35. 41
  36. 76
  37. 34
  38. 11
  39. 7
  40. 87

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