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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 519 · 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 46, 61, 59, 66 and 48? (a) 70 (b) 56 (c) 57 (d) 55
  2. 2.What is the average of all the whole numbers from 60 to 68? (a) 65 (b) 4 (c) 64 (d) 8
  3. 3.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 30 (b) 16 (c) 65 (d) 15
  4. 4.What is the average of all the whole numbers from 37 to 43? (a) 41 (b) 3 (c) 40 (d) 6
  5. 5.What is the average of all the whole numbers from 17 to 27? (a) 5 (b) 22 (c) 10 (d) 23
  6. 6.What is the average of 17, 14, 27 and 38? (a) 24 (b) 32 (c) 23 (d) 25
  7. 7.What is the average of all the whole numbers from 8 to 46? (a) 38 (b) 27 (c) 19 (d) 28
  8. 8.What is the average of all the whole numbers from 59 to 95? (a) 36 (b) 18 (c) 77 (d) 78
  9. 9.What is the average of 38, 39, 18, 32, 22 and 49? (a) 34 (b) 32 (c) 35 (d) 33
  10. 10.What is the average of 61, 65, 47, 56, 48 and 83? (a) 59 (b) 72 (c) 61 (d) 60
  11. 11.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 52 (c) 62 (d) 14
  12. 12.What is the average of 24, 15, 10, 18, 8 and 45? (a) 24 (b) 21 (c) 19 (d) 20
  13. 13.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 27 (b) 75 (c) 28 (d) 36
  14. 14.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 60 (c) 36 (d) 84
  15. 15.What is the average of all the whole numbers from 7 to 29? (a) 22 (b) 18 (c) 19 (d) 11
  16. 16.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 75 (b) 35 (c) 11 (d) 10
  17. 17.What is the average of 12, 17, 34, 27, 24 and 36? (a) 26 (b) 24 (c) 25 (d) 30
  18. 18.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 45 (c) 72 (d) 37
  19. 19.What is the average of 62, 65, 68, 59, 54 and 82? (a) 78 (b) 65 (c) 64 (d) 66
  20. 20.What is the average of 39, 55, 57 and 29? (a) 60 (b) 44 (c) 45 (d) 46
  21. 21.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 101 (b) 69 (c) 48 (d) 61
  22. 22.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 65 (c) 89 (d) 30
  23. 23.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 45 (b) 60 (c) 39 (d) 93
  24. 24.What is the average of all the whole numbers from 50 to 64? (a) 58 (b) 7 (c) 57 (d) 14
  25. 25.What is the average of 6, 12, 6 and 56? (a) 21 (b) 20 (c) 22 (d) 19
  26. 26.What is the average of 79, 62, 67, 84 and 53? (a) 71 (b) 68 (c) 69 (d) 70
  27. 27.What is the average of all the whole numbers from 36 to 52? (a) 45 (b) 8 (c) 16 (d) 44
  28. 28.What is the average of 76, 69, 83 and 60? (a) 96 (b) 72 (c) 71 (d) 73
  29. 29.What is the average of all the whole numbers from 38 to 54? (a) 46 (b) 16 (c) 47 (d) 8
  30. 30.What is the average of 73, 51, 49 and 67? (a) 60 (b) 59 (c) 80 (d) 61
  31. 31.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 77 (b) 22 (c) 36 (d) 21
  32. 32.What is the average of 72, 62, 57, 55, 63 and 87? (a) 66 (b) 68 (c) 65 (d) 67
  33. 33.What is the average of all the whole numbers from 14 to 20? (a) 6 (b) 18 (c) 17 (d) 3
  34. 34.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 5 (b) 23 (c) 11 (d) 4
  35. 35.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 35 (c) 18 (d) 50
  36. 36.What is the average of 73, 70, 55, 62 and 75? (a) 69 (b) 66 (c) 68 (d) 67
  37. 37.What is the average of all the whole numbers from 20 to 32? (a) 26 (b) 12 (c) 27 (d) 6
  38. 38.What is the average of 49, 44, 57, 45, 60 and 81? (a) 57 (b) 55 (c) 56 (d) 58
  39. 39.What is the average of all the whole numbers from 29 to 63? (a) 47 (b) 34 (c) 46 (d) 17
  40. 40.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 5 (c) 13 (d) 25

Answer key

  1. 56
  2. 64
  3. 15
  4. 40
  5. 22
  6. 24
  7. 27
  8. 77
  9. 33
  10. 60
  11. 62
  12. 20
  13. 27
  14. 84
  15. 18
  16. 10
  17. 25
  18. 72
  19. 65
  20. 45
  21. 101
  22. 89
  23. 93
  24. 57
  25. 20
  26. 69
  27. 44
  28. 72
  29. 46
  30. 60
  31. 21
  32. 66
  33. 17
  34. 4
  35. 50
  36. 67
  37. 26
  38. 56
  39. 46
  40. 17

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