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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 306 · 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 13 to 43? (a) 30 (b) 29 (c) 15 (d) 28
  2. 2.What is the average of all the whole numbers from 14 to 36? (a) 25 (b) 26 (c) 11 (d) 22
  3. 3.What is the average of 81, 70, 85, 76 and 78? (a) 77 (b) 79 (c) 80 (d) 78
  4. 4.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 99 (c) 48 (d) 67
  5. 5.What is the average of 18, 24, 36, 21, 32 and 55? (a) 31 (b) 30 (c) 33 (d) 32
  6. 6.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 21 (c) 67 (d) 53
  7. 7.What is the average of 68, 91, 76, 77, 84 and 78? (a) 80 (b) 79 (c) 78 (d) 81
  8. 8.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 29 (b) 79 (c) 38 (d) 30
  9. 9.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 33 (c) 68 (d) 40
  10. 10.What is the average of all the whole numbers from 55 to 83? (a) 28 (b) 70 (c) 69 (d) 14
  11. 11.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 11 (c) 36 (d) 12
  12. 12.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 51 (c) 6 (d) 31
  13. 13.What is the average of 36, 22, 25, 36 and 11? (a) 26 (b) 25 (c) 28 (d) 27
  14. 14.What is the average of 71, 79, 87, 67 and 96? (a) 79 (b) 100 (c) 80 (d) 81
  15. 15.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 92 (c) 16 (d) 60
  16. 16.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 81 (c) 66 (d) 25
  17. 17.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 108 (c) 60 (d) 54
  18. 18.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 41 (b) 33 (c) 31 (d) 12
  19. 19.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 40 (b) 69 (c) 61 (d) 93
  20. 20.What is the average of 26, 37, 35 and 14? (a) 27 (b) 28 (c) 29 (d) 30
  21. 21.What is the average of all the whole numbers from 9 to 15? (a) 6 (b) 12 (c) 13 (d) 3
  22. 22.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 24 (c) 47 (d) 49
  23. 23.What is the average of all the whole numbers from 18 to 46? (a) 32 (b) 14 (c) 28 (d) 33
  24. 24.What is the average of 19, 29, 22, 41, 25 and 32? (a) 27 (b) 30 (c) 28 (d) 29
  25. 25.What is the average of 50, 69, 70, 79 and 57? (a) 65 (b) 66 (c) 64 (d) 67
  26. 26.What is the average of all the whole numbers from 32 to 66? (a) 17 (b) 50 (c) 49 (d) 34
  27. 27.What is the average of all the whole numbers from 28 to 66? (a) 48 (b) 47 (c) 19 (d) 38
  28. 28.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 57 (b) 16 (c) 84 (d) 43
  29. 29.What is the average of all the whole numbers from 15 to 35? (a) 25 (b) 26 (c) 10 (d) 20
  30. 30.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 21 (c) 28 (d) 20
  31. 31.What is the average of all the whole numbers from 52 to 76? (a) 64 (b) 65 (c) 12 (d) 24
  32. 32.What is the average of all the whole numbers from 47 to 69? (a) 59 (b) 11 (c) 22 (d) 58
  33. 33.What is the average of all the whole numbers from 8 to 32? (a) 24 (b) 21 (c) 20 (d) 12
  34. 34.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 19 (c) 27 (d) 18
  35. 35.What is the average of 66, 76, 54, 70 and 54? (a) 63 (b) 64 (c) 80 (d) 65
  36. 36.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 13 (b) 39 (c) 14 (d) 19
  37. 37.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 67 (b) 61 (c) 85 (d) 30
  38. 38.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 25 (b) 34 (c) 39 (d) 54
  39. 39.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 26 (c) 47 (d) 46
  40. 40.What is the average of all the whole numbers from 24 to 58? (a) 34 (b) 42 (c) 41 (d) 17

Answer key

  1. 28
  2. 25
  3. 78
  4. 99
  5. 31
  6. 53
  7. 79
  8. 29
  9. 68
  10. 69
  11. 11
  12. 31
  13. 26
  14. 80
  15. 60
  16. 81
  17. 108
  18. 41
  19. 93
  20. 28
  21. 12
  22. 47
  23. 32
  24. 28
  25. 65
  26. 49
  27. 47
  28. 57
  29. 25
  30. 28
  31. 64
  32. 58
  33. 20
  34. 18
  35. 64
  36. 13
  37. 85
  38. 54
  39. 46
  40. 41

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