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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 498 · 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 55, 54, 67, 56, 72 and 62? (a) 62 (b) 60 (c) 63 (d) 61
  2. 2.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 49 (b) 43 (c) 24 (d) 61
  3. 3.What is the average of all the whole numbers from 21 to 47? (a) 35 (b) 13 (c) 34 (d) 26
  4. 4.What is the average of 61, 54, 46, 67, 45 and 57? (a) 54 (b) 55 (c) 66 (d) 56
  5. 5.What is the average of 80, 84, 63 and 73? (a) 76 (b) 75 (c) 100 (d) 74
  6. 6.What is the average of 19, 35, 29 and 21? (a) 25 (b) 27 (c) 28 (d) 26
  7. 7.What is the average of all the whole numbers from 23 to 37? (a) 30 (b) 14 (c) 7 (d) 31
  8. 8.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 46 (c) 12 (d) 34
  9. 9.What is the average of 56, 76, 68, 58 and 57? (a) 62 (b) 65 (c) 63 (d) 64
  10. 10.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 44 (c) 8 (d) 51
  11. 11.What is the average of 56, 62, 56 and 22? (a) 49 (b) 51 (c) 48 (d) 50
  12. 12.What is the average of 61, 51, 47, 73, 69 and 65? (a) 61 (b) 63 (c) 62 (d) 60
  13. 13.What is the average of 86, 84, 85, 63 and 72? (a) 79 (b) 77 (c) 80 (d) 78
  14. 14.What is the average of 40, 24, 34, 23, 22 and 25? (a) 28 (b) 29 (c) 27 (d) 30
  15. 15.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 28 (b) 49 (c) 69 (d) 45
  16. 16.What is the average of all the whole numbers from 38 to 46? (a) 4 (b) 8 (c) 42 (d) 43
  17. 17.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 40 (c) 70 (d) 38
  18. 18.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 33 (c) 71 (d) 32
  19. 19.What is the average of 74, 73, 57, 68 and 78? (a) 69 (b) 70 (c) 72 (d) 71
  20. 20.What is the average of all the whole numbers from 50 to 82? (a) 16 (b) 67 (c) 32 (d) 66
  21. 21.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) 21 (c) 33 (d) 63
  22. 22.What is the average of 37, 34, 30 and 75? (a) 46 (b) 43 (c) 44 (d) 45
  23. 23.What is the average of 39, 39, 37, 40 and 65? (a) 45 (b) 55 (c) 43 (d) 44
  24. 24.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 89 (c) 39 (d) 38
  25. 25.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 5 (b) 95 (c) 52 (d) 48
  26. 26.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 92 (b) 48 (c) 72 (d) 28
  27. 27.What is the average of 52, 71, 79 and 58? (a) 66 (b) 65 (c) 64 (d) 67
  28. 28.What is the average of 37, 36, 15 and 32? (a) 31 (b) 40 (c) 30 (d) 29
  29. 29.What is the average of all the whole numbers from 15 to 29? (a) 7 (b) 22 (c) 14 (d) 23
  30. 30.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 10 (b) 95 (c) 11 (d) 45
  31. 31.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 88 (c) 48 (d) 46
  32. 32.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 33? (a) 33 (b) 78 (c) 50 (d) 38
  33. 33.What is the average of all the whole numbers from 44 to 84? (a) 65 (b) 64 (c) 20 (d) 40
  34. 34.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 20 (c) 57 (d) 46
  35. 35.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 85 (b) 21 (c) 20 (d) 40
  36. 36.What is the average of 50, 75, 78, 54, 58 and 63? (a) 65 (b) 62 (c) 64 (d) 63
  37. 37.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 65 (c) 11 (d) 31
  38. 38.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 15 (b) 40 (c) 16 (d) 85
  39. 39.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 73 (b) 45 (c) 52 (d) 35
  40. 40.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 4 (c) 71 (d) 36

Answer key

  1. 61
  2. 61
  3. 34
  4. 55
  5. 75
  6. 26
  7. 30
  8. 34
  9. 63
  10. 51
  11. 49
  12. 61
  13. 78
  14. 28
  15. 69
  16. 42
  17. 70
  18. 32
  19. 70
  20. 66
  21. 51
  22. 44
  23. 44
  24. 38
  25. 52
  26. 72
  27. 65
  28. 30
  29. 22
  30. 10
  31. 88
  32. 78
  33. 64
  34. 46
  35. 20
  36. 63
  37. 10
  38. 15
  39. 73
  40. 39

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