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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 208 · 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 33, 35, 48 and 68? (a) 48 (b) 45 (c) 46 (d) 47
  2. 2.What is the average of 47, 61, 53, 61 and 33? (a) 50 (b) 51 (c) 52 (d) 53
  3. 3.What is the average of 30, 28, 47, 25, 37 and 61? (a) 40 (b) 39 (c) 37 (d) 38
  4. 4.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 28 (c) 27 (d) 14
  5. 5.What is the average of 63, 52, 69, 62 and 74? (a) 80 (b) 63 (c) 64 (d) 65
  6. 6.What is the average of 39, 14, 29 and 14? (a) 23 (b) 24 (c) 32 (d) 25
  7. 7.What is the average of all the whole numbers from 49 to 75? (a) 63 (b) 13 (c) 62 (d) 26
  8. 8.What is the average of all the whole numbers from 31 to 41? (a) 10 (b) 36 (c) 5 (d) 37
  9. 9.What is the average of 71, 59, 83, 77 and 70? (a) 73 (b) 71 (c) 72 (d) 90
  10. 10.What is the average of 10, 21, 27, 9 and 43? (a) 21 (b) 23 (c) 22 (d) 24
  11. 11.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 44 (b) 87 (c) 47 (d) 4
  12. 12.What is the average of 31, 43, 40, 33 and 8? (a) 30 (b) 31 (c) 32 (d) 33
  13. 13.What is the average of all the whole numbers from 46 to 70? (a) 12 (b) 59 (c) 24 (d) 58
  14. 14.What is the average of all the whole numbers from 14 to 54? (a) 40 (b) 35 (c) 20 (d) 34
  15. 15.What is the average of 63, 81, 62 and 58? (a) 65 (b) 67 (c) 66 (d) 88
  16. 16.What is the average of all the whole numbers from 5 to 45? (a) 40 (b) 26 (c) 20 (d) 25
  17. 17.What is the average of all the whole numbers from 42 to 70? (a) 14 (b) 57 (c) 56 (d) 28
  18. 18.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 32 (b) 49 (c) 8 (d) 25
  19. 19.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 40? (a) 45 (b) 40 (c) 20 (d) 55
  20. 20.What is the average of all the whole numbers from 5 to 17? (a) 11 (b) 10 (c) 12 (d) 6
  21. 21.What is the average of 67, 90, 68 and 79? (a) 76 (b) 75 (c) 78 (d) 77
  22. 22.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 85 (b) 44 (c) 53 (d) 12
  23. 23.What is the average of all the whole numbers from 17 to 31? (a) 14 (b) 7 (c) 25 (d) 24
  24. 24.What is the average of all the whole numbers from 57 to 75? (a) 18 (b) 9 (c) 66 (d) 67
  25. 25.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 38 (b) 28 (c) 30 (d) 12
  26. 26.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 61 (b) 46 (c) 43 (d) 21
  27. 27.What is the average of all the whole numbers from 58 to 94? (a) 77 (b) 76 (c) 36 (d) 18
  28. 28.What is the average of 52, 70, 51 and 71? (a) 63 (b) 61 (c) 60 (d) 62
  29. 29.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 23 (c) 42 (d) 35
  30. 30.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 65 (c) 53 (d) 24
  31. 31.What is the average of 58, 46, 63, 52 and 66? (a) 59 (b) 57 (c) 58 (d) 56
  32. 32.What is the average of all the whole numbers from 39 to 51? (a) 6 (b) 46 (c) 45 (d) 12
  33. 33.What is the average of 35, 23, 22, 32, 42 and 56? (a) 34 (b) 36 (c) 35 (d) 42
  34. 34.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 42 (b) 95 (c) 47 (d) 41
  35. 35.What is the average of 52, 33, 51 and 56? (a) 47 (b) 64 (c) 49 (d) 48
  36. 36.What is the average of all the whole numbers from 22 to 36? (a) 14 (b) 29 (c) 7 (d) 30
  37. 37.What is the average of 88, 71, 69 and 72? (a) 74 (b) 75 (c) 76 (d) 100
  38. 38.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 66 (b) 3 (c) 4 (d) 31
  39. 39.What is the average of 65, 84, 89 and 74? (a) 78 (b) 77 (c) 104 (d) 79
  40. 40.What is the average of 9, 21, 14 and 40? (a) 20 (b) 28 (c) 22 (d) 21

Answer key

  1. 46
  2. 51
  3. 38
  4. 27
  5. 64
  6. 24
  7. 62
  8. 36
  9. 72
  10. 22
  11. 47
  12. 31
  13. 58
  14. 34
  15. 66
  16. 25
  17. 56
  18. 32
  19. 55
  20. 11
  21. 76
  22. 53
  23. 24
  24. 66
  25. 38
  26. 61
  27. 76
  28. 61
  29. 35
  30. 65
  31. 57
  32. 45
  33. 35
  34. 41
  35. 48
  36. 29
  37. 75
  38. 3
  39. 78
  40. 21

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