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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 96 · 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, 19, 39, 31 and 17? (a) 31 (b) 30 (c) 29 (d) 28
  2. 2.What is the average of all the whole numbers from 23 to 29? (a) 6 (b) 3 (c) 26 (d) 27
  3. 3.What is the average of all the whole numbers from 19 to 41? (a) 30 (b) 22 (c) 31 (d) 11
  4. 4.What is the average of all the whole numbers from 10 to 38? (a) 28 (b) 25 (c) 14 (d) 24
  5. 5.What is the average of 12, 29, 33 and 30? (a) 28 (b) 25 (c) 26 (d) 27
  6. 6.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 24 (c) 71 (d) 51
  7. 7.What is the average of 66, 82, 66 and 94? (a) 76 (b) 79 (c) 78 (d) 77
  8. 8.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 58 (c) 82 (d) 30
  9. 9.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 56 (b) 42 (c) 84 (d) 49
  10. 10.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 56 (c) 36 (d) 84
  11. 11.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 30 (b) 2 (c) 13 (d) 1
  12. 12.What is the average of 51, 43, 48, 54 and 94? (a) 58 (b) 60 (c) 59 (d) 57
  13. 13.What is the average of 65, 67, 60 and 40? (a) 59 (b) 58 (c) 57 (d) 60
  14. 14.What is the average of 67, 53, 71, 67, 53 and 37? (a) 57 (b) 58 (c) 59 (d) 60
  15. 15.What is the average of all the whole numbers from 56 to 72? (a) 64 (b) 65 (c) 8 (d) 16
  16. 16.What is the average of all the whole numbers from 46 to 60? (a) 54 (b) 53 (c) 7 (d) 14
  17. 17.What is the average of all the whole numbers from 42 to 50? (a) 8 (b) 47 (c) 46 (d) 4
  18. 18.What is the average of 52, 46, 42 and 68? (a) 53 (b) 51 (c) 54 (d) 52
  19. 19.What is the average of all the whole numbers from 41 to 73? (a) 32 (b) 57 (c) 58 (d) 16
  20. 20.What is the average of 79, 79, 74, 57, 66 and 77? (a) 72 (b) 73 (c) 71 (d) 74
  21. 21.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 19 (b) 7 (c) 41 (d) 8
  22. 22.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 31 (c) 8 (d) 37
  23. 23.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 13 (b) 5 (c) 29 (d) 4
  24. 24.What is the average of 36, 28, 35, 24 and 62? (a) 37 (b) 38 (c) 36 (d) 39
  25. 25.What is the average of all the whole numbers from 54 to 80? (a) 26 (b) 67 (c) 68 (d) 13
  26. 26.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 40 (c) 64 (d) 28
  27. 27.What is the average of all the whole numbers from 11 to 21? (a) 5 (b) 16 (c) 17 (d) 10
  28. 28.What is the average of all the whole numbers from 33 to 47? (a) 7 (b) 41 (c) 14 (d) 40
  29. 29.What is the average of 63, 46, 51 and 72? (a) 60 (b) 59 (c) 58 (d) 57
  30. 30.What is the average of 81, 77, 69, 78 and 75? (a) 95 (b) 77 (c) 76 (d) 75
  31. 31.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 25 (c) 16 (d) 8
  32. 32.What is the average of all the whole numbers from 26 to 48? (a) 11 (b) 22 (c) 38 (d) 37
  33. 33.What is the average of 33, 22, 14, 27 and 29? (a) 24 (b) 27 (c) 26 (d) 25
  34. 34.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 20 (b) 71 (c) 53 (d) 38
  35. 35.What is the average of 52, 46, 55, 63, 45 and 81? (a) 58 (b) 56 (c) 57 (d) 59
  36. 36.What is the average of all the whole numbers from 18 to 56? (a) 19 (b) 37 (c) 38 (d) 36
  37. 37.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 22 (b) 11 (c) 48 (d) 10
  38. 38.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 49? (a) 32 (b) 53 (c) 77 (d) 49
  39. 39.What is the average of 77, 56, 76, 62, 84 and 65? (a) 84 (b) 70 (c) 71 (d) 69
  40. 40.What is the average of all the whole numbers from 22 to 60? (a) 41 (b) 38 (c) 19 (d) 42

Answer key

  1. 29
  2. 26
  3. 30
  4. 24
  5. 26
  6. 71
  7. 77
  8. 82
  9. 84
  10. 84
  11. 1
  12. 58
  13. 58
  14. 58
  15. 64
  16. 53
  17. 46
  18. 52
  19. 57
  20. 72
  21. 7
  22. 37
  23. 4
  24. 37
  25. 67
  26. 64
  27. 16
  28. 40
  29. 58
  30. 76
  31. 24
  32. 37
  33. 25
  34. 53
  35. 57
  36. 37
  37. 10
  38. 77
  39. 70
  40. 41

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