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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 486 · 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 34 to 50? (a) 8 (b) 43 (c) 42 (d) 16
  2. 2.What is the average of 71, 66, 65, 49, 53 and 74? (a) 63 (b) 64 (c) 62 (d) 65
  3. 3.What is the average of 79, 85, 93 and 59? (a) 78 (b) 81 (c) 80 (d) 79
  4. 4.What is the average of all the whole numbers from 46 to 54? (a) 8 (b) 4 (c) 51 (d) 50
  5. 5.What is the average of all the whole numbers from 49 to 79? (a) 65 (b) 30 (c) 64 (d) 15
  6. 6.What is the average of all the whole numbers from 14 to 48? (a) 31 (b) 17 (c) 32 (d) 34
  7. 7.What is the average of all the whole numbers from 6 to 12? (a) 6 (b) 3 (c) 10 (d) 9
  8. 8.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 33 (b) 45 (c) 94 (d) 34
  9. 9.What is the average of all the whole numbers from 51 to 65? (a) 58 (b) 59 (c) 14 (d) 7
  10. 10.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 16 (c) 17 (d) 46
  11. 11.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 67 (c) 10 (d) 59
  12. 12.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 51 (b) 33 (c) 63 (d) 21
  13. 13.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 62 (b) 57 (c) 77 (d) 25
  14. 14.What is the average of 79, 86, 66, 93, 81 and 69? (a) 79 (b) 80 (c) 81 (d) 78
  15. 15.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 60 (b) 24 (c) 76 (d) 40
  16. 16.What is the average of 84, 73, 70, 71, 68 and 108? (a) 78 (b) 81 (c) 79 (d) 80
  17. 17.What is the average of 53, 65, 56, 63 and 38? (a) 54 (b) 57 (c) 55 (d) 56
  18. 18.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 56 (c) 84 (d) 35
  19. 19.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 14 (c) 13 (d) 48
  20. 20.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 77 (b) 15 (c) 52 (d) 40
  21. 21.What is the average of 13, 30, 29, 17, 33 and 46? (a) 29 (b) 28 (c) 30 (d) 27
  22. 22.What is the average of all the whole numbers from 58 to 84? (a) 26 (b) 13 (c) 72 (d) 71
  23. 23.What is the average of 34, 45, 17, 41, 18 and 25? (a) 31 (b) 30 (c) 36 (d) 29
  24. 24.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 12 (c) 23 (d) 4
  25. 25.What is the average of all the whole numbers from 55 to 67? (a) 61 (b) 6 (c) 12 (d) 62
  26. 26.What is the average of 66, 66, 65, 54, 76 and 81? (a) 70 (b) 67 (c) 68 (d) 69
  27. 27.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 58? (a) 61 (b) 58 (c) 85 (d) 30
  28. 28.What is the average of 71, 93, 69 and 87? (a) 81 (b) 80 (c) 82 (d) 79
  29. 29.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 35 (b) 20 (c) 51 (d) 50
  30. 30.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 31 (b) 52 (c) 59 (d) 24
  31. 31.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 96 (b) 66 (c) 20 (d) 50
  32. 32.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 16 (b) 86 (c) 57 (d) 45
  33. 33.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 29 (c) 73 (d) 36
  34. 34.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 15 (b) 82 (c) 16 (d) 39
  35. 35.What is the average of 37, 51, 53 and 51? (a) 64 (b) 48 (c) 49 (d) 47
  36. 36.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 66? (a) 106 (b) 74 (c) 48 (d) 66
  37. 37.What is the average of all the whole numbers from 15 to 45? (a) 15 (b) 31 (c) 30 (d) 29
  38. 38.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 57 (c) 67 (d) 20
  39. 39.What is the average of all the whole numbers from 9 to 31? (a) 21 (b) 20 (c) 11 (d) 22
  40. 40.What is the average of 27, 27, 15 and 43? (a) 28 (b) 27 (c) 29 (d) 30

Answer key

  1. 42
  2. 63
  3. 79
  4. 50
  5. 64
  6. 31
  7. 9
  8. 33
  9. 58
  10. 16
  11. 67
  12. 51
  13. 77
  14. 79
  15. 60
  16. 79
  17. 55
  18. 84
  19. 13
  20. 52
  21. 28
  22. 71
  23. 30
  24. 15
  25. 61
  26. 68
  27. 85
  28. 80
  29. 50
  30. 52
  31. 66
  32. 57
  33. 29
  34. 15
  35. 48
  36. 106
  37. 30
  38. 67
  39. 20
  40. 28

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