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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 897 · 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 31 to 71? (a) 20 (b) 40 (c) 51 (d) 52
  2. 2.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 29 (c) 27 (d) 28
  3. 3.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 51 (b) 40 (c) 81 (d) 46
  4. 4.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 27 (c) 62 (d) 83
  5. 5.What is the average of all the whole numbers from 9 to 33? (a) 21 (b) 12 (c) 22 (d) 24
  6. 6.What is the average of 70, 72, 90 and 72? (a) 75 (b) 78 (c) 77 (d) 76
  7. 7.What is the average of 25, 36, 29, 27, 39 and 18? (a) 31 (b) 30 (c) 28 (d) 29
  8. 8.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 26 (b) 41 (c) 27 (d) 87
  9. 9.What is the average of 53, 50, 42 and 19? (a) 43 (b) 42 (c) 41 (d) 40
  10. 10.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 32 (b) 13 (c) 22 (d) 41
  11. 11.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 52 (c) 76 (d) 32
  12. 12.What is the average of 33, 57, 59, 59 and 12? (a) 43 (b) 45 (c) 55 (d) 44
  13. 13.What is the average of 54, 47, 67 and 52? (a) 57 (b) 56 (c) 55 (d) 54
  14. 14.What is the average of all the whole numbers from 39 to 73? (a) 34 (b) 17 (c) 56 (d) 57
  15. 15.What is the average of 44, 42, 30, 31 and 28? (a) 34 (b) 36 (c) 37 (d) 35
  16. 16.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 29 (c) 65 (d) 30
  17. 17.What is the average of 49, 73, 75, 67 and 51? (a) 63 (b) 64 (c) 62 (d) 65
  18. 18.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 23 (b) 24 (c) 76 (d) 37
  19. 19.What is the average of all the whole numbers from 15 to 41? (a) 26 (b) 28 (c) 29 (d) 13
  20. 20.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 92 (b) 31 (c) 32 (d) 45
  21. 21.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 95 (b) 40 (c) 47 (d) 41
  22. 22.What is the average of 50, 52, 74, 74 and 50? (a) 59 (b) 61 (c) 75 (d) 60
  23. 23.What is the average of all the whole numbers from 19 to 43? (a) 32 (b) 24 (c) 31 (d) 12
  24. 24.What is the average of all the whole numbers from 9 to 23? (a) 14 (b) 16 (c) 17 (d) 7
  25. 25.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 28 (b) 39 (c) 27 (d) 80
  26. 26.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 7 (b) 21 (c) 17 (d) 11
  27. 27.What is the average of 19, 28, 37, 33 and 53? (a) 33 (b) 35 (c) 36 (d) 34
  28. 28.What is the average of all the whole numbers from 34 to 66? (a) 32 (b) 50 (c) 16 (d) 51
  29. 29.What is the average of 33, 53, 36 and 34? (a) 40 (b) 39 (c) 38 (d) 52
  30. 30.What is the average of 46, 59, 70, 40, 40 and 75? (a) 54 (b) 55 (c) 66 (d) 56
  31. 31.What is the average of all the whole numbers from 32 to 68? (a) 51 (b) 18 (c) 36 (d) 50
  32. 32.What is the average of 37, 34, 41, 50, 40 and 86? (a) 50 (b) 49 (c) 47 (d) 48
  33. 33.What is the average of 48, 53, 35 and 16? (a) 40 (b) 38 (c) 37 (d) 39
  34. 34.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 91 (c) 39 (d) 40
  35. 35.What is the average of all the whole numbers from 53 to 87? (a) 70 (b) 34 (c) 71 (d) 17
  36. 36.What is the average of 28, 27, 17 and 48? (a) 29 (b) 31 (c) 40 (d) 30
  37. 37.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 35 (b) 73 (c) 15 (d) 14
  38. 38.What is the average of 86, 76, 69, 81, 79 and 77? (a) 79 (b) 80 (c) 77 (d) 78
  39. 39.What is the average of all the whole numbers from 8 to 36? (a) 28 (b) 14 (c) 23 (d) 22
  40. 40.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 29 (c) 30 (d) 33

Answer key

  1. 51
  2. 28
  3. 81
  4. 83
  5. 21
  6. 76
  7. 29
  8. 26
  9. 41
  10. 41
  11. 76
  12. 44
  13. 55
  14. 56
  15. 35
  16. 29
  17. 63
  18. 23
  19. 28
  20. 31
  21. 40
  22. 60
  23. 31
  24. 16
  25. 27
  26. 17
  27. 34
  28. 50
  29. 39
  30. 55
  31. 50
  32. 48
  33. 38
  34. 39
  35. 70
  36. 30
  37. 14
  38. 78
  39. 22
  40. 29

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