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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 866 · 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 39, 68, 40, 40, 63 and 74? (a) 56 (b) 54 (c) 53 (d) 55
  2. 2.What is the average of 44, 29, 21, 16, 22 and 48? (a) 36 (b) 30 (c) 29 (d) 31
  3. 3.What is the average of all the whole numbers from 19 to 47? (a) 34 (b) 14 (c) 33 (d) 28
  4. 4.What is the average of 86, 68, 71 and 95? (a) 81 (b) 82 (c) 80 (d) 79
  5. 5.What is the average of 74, 76, 69, 85 and 46? (a) 72 (b) 70 (c) 69 (d) 71
  6. 6.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 30 (b) 44 (c) 29 (d) 91
  7. 7.What is the average of 30, 36, 26, 16, 17 and 37? (a) 27 (b) 28 (c) 29 (d) 26
  8. 8.What is the average of all the whole numbers from 60 to 82? (a) 71 (b) 72 (c) 22 (d) 11
  9. 9.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 64 (b) 35 (c) 65 (d) 66
  10. 10.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 15 (c) 39 (d) 30
  11. 11.What is the average of 30, 52, 51 and 23? (a) 40 (b) 38 (c) 39 (d) 52
  12. 12.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 21 (b) 22 (c) 63 (d) 30
  13. 13.What is the average of 59, 59, 65 and 105? (a) 72 (b) 96 (c) 73 (d) 71
  14. 14.What is the average of 55, 44, 51, 60 and 50? (a) 51 (b) 52 (c) 53 (d) 65
  15. 15.What is the average of all the whole numbers from 26 to 36? (a) 31 (b) 32 (c) 10 (d) 5
  16. 16.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 4 (c) 35 (d) 69
  17. 17.What is the average of all the whole numbers from 27 to 47? (a) 38 (b) 37 (c) 20 (d) 10
  18. 18.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 79 (c) 36 (d) 35
  19. 19.What is the average of 23, 45, 21, 39, 43 and 45? (a) 35 (b) 37 (c) 36 (d) 38
  20. 20.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 22 (b) 17 (c) 33 (d) 6
  21. 21.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 8 (c) 29 (d) 22
  22. 22.What is the average of 78, 83, 70, 81, 82 and 62? (a) 76 (b) 78 (c) 75 (d) 77
  23. 23.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 54 (c) 10 (d) 36
  24. 24.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 16 (b) 39 (c) 51 (d) 43
  25. 25.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 30 (b) 39 (c) 21 (d) 12
  26. 26.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 13 (b) 47 (c) 14 (d) 22
  27. 27.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 44 (b) 20 (c) 39 (d) 54
  28. 28.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 10 (b) 34 (c) 11 (d) 16
  29. 29.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 40 (b) 61 (c) 26 (d) 31
  30. 30.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 30 (b) 51 (c) 54 (d) 78
  31. 31.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 72 (b) 73 (c) 48 (d) 40
  32. 32.What is the average of 73, 65, 86, 73 and 78? (a) 76 (b) 77 (c) 74 (d) 75
  33. 33.What is the average of 7, 28, 18 and 35? (a) 24 (b) 22 (c) 21 (d) 23
  34. 34.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 48 (b) 93 (c) 12 (d) 57
  35. 35.What is the average of all the whole numbers from 13 to 23? (a) 19 (b) 10 (c) 18 (d) 5
  36. 36.What is the average of all the whole numbers from 44 to 56? (a) 51 (b) 50 (c) 6 (d) 12
  37. 37.What is the average of 49, 29, 39, 32 and 21? (a) 35 (b) 34 (c) 36 (d) 33
  38. 38.What is the average of 24, 18, 17 and 61? (a) 31 (b) 29 (c) 30 (d) 40
  39. 39.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 6 (c) 49 (d) 44
  40. 40.What is the average of 20, 43, 27, 34, 15 and 41? (a) 30 (b) 31 (c) 29 (d) 36

Answer key

  1. 54
  2. 30
  3. 33
  4. 80
  5. 70
  6. 29
  7. 27
  8. 71
  9. 65
  10. 39
  11. 39
  12. 21
  13. 72
  14. 52
  15. 31
  16. 38
  17. 37
  18. 35
  19. 36
  20. 22
  21. 22
  22. 76
  23. 36
  24. 51
  25. 30
  26. 13
  27. 54
  28. 10
  29. 61
  30. 78
  31. 72
  32. 75
  33. 22
  34. 57
  35. 18
  36. 50
  37. 34
  38. 30
  39. 49
  40. 30

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