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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 430 · 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 18 to 52? (a) 36 (b) 34 (c) 17 (d) 35
  2. 2.What is the average of all the whole numbers from 41 to 81? (a) 62 (b) 40 (c) 61 (d) 20
  3. 3.What is the average of 54, 42, 62, 71, 42 and 65? (a) 57 (b) 58 (c) 55 (d) 56
  4. 4.What is the average of all the whole numbers from 26 to 62? (a) 18 (b) 36 (c) 45 (d) 44
  5. 5.What is the average of all the whole numbers from 14 to 22? (a) 8 (b) 18 (c) 19 (d) 4
  6. 6.What is the average of 84, 61, 69, 64 and 82? (a) 72 (b) 90 (c) 71 (d) 73
  7. 7.What is the average of 26, 42, 32, 47, 40 and 23? (a) 42 (b) 35 (c) 36 (d) 34
  8. 8.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 64 (b) 14 (c) 33 (d) 45
  9. 9.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 10 (b) 9 (c) 34 (d) 73
  10. 10.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 55 (b) 24 (c) 52 (d) 73
  11. 11.What is the average of all the whole numbers from 27 to 49? (a) 11 (b) 39 (c) 22 (d) 38
  12. 12.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 69 (b) 60 (c) 63 (d) 12
  13. 13.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 27 (c) 6 (d) 7
  14. 14.What is the average of all the whole numbers from 51 to 61? (a) 10 (b) 56 (c) 57 (d) 5
  15. 15.What is the average of 35, 37, 27 and 17? (a) 29 (b) 31 (c) 30 (d) 28
  16. 16.What is the average of all the whole numbers from 9 to 21? (a) 6 (b) 16 (c) 15 (d) 12
  17. 17.What is the average of all the whole numbers from 50 to 56? (a) 3 (b) 53 (c) 54 (d) 6
  18. 18.What is the average of 86, 94, 69, 91 and 55? (a) 78 (b) 80 (c) 81 (d) 79
  19. 19.What is the average of 32, 22, 44 and 38? (a) 33 (b) 36 (c) 35 (d) 34
  20. 20.What is the average of all the whole numbers from 40 to 46? (a) 3 (b) 44 (c) 6 (d) 43
  21. 21.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 81 (b) 78 (c) 43 (d) 40
  22. 22.What is the average of 27, 32, 30, 24, 40 and 9? (a) 29 (b) 27 (c) 26 (d) 28
  23. 23.What is the average of 54, 52, 63, 55 and 101? (a) 67 (b) 65 (c) 66 (d) 64
  24. 24.What is the average of all the whole numbers from 28 to 66? (a) 19 (b) 47 (c) 38 (d) 48
  25. 25.What is the average of 76, 72, 80, 79 and 68? (a) 77 (b) 75 (c) 74 (d) 76
  26. 26.What is the average of all the whole numbers from 30 to 46? (a) 8 (b) 39 (c) 38 (d) 16
  27. 27.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 10 (c) 15 (d) 6
  28. 28.What is the average of 62, 77, 79 and 50? (a) 68 (b) 66 (c) 67 (d) 69
  29. 29.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 21 (b) 45 (c) 10 (d) 9
  30. 30.What is the average of 21, 15, 22, 32, 35 and 7? (a) 24 (b) 21 (c) 23 (d) 22
  31. 31.What is the average of 90, 69, 76, 89 and 76? (a) 79 (b) 81 (c) 80 (d) 100
  32. 32.What is the average of 41, 47, 49 and 51? (a) 47 (b) 49 (c) 48 (d) 46
  33. 33.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 34 (b) 33 (c) 47 (d) 96
  34. 34.What is the average of all the whole numbers from 46 to 56? (a) 10 (b) 5 (c) 51 (d) 52
  35. 35.What is the average of 29, 37, 48, 42, 25 and 29? (a) 34 (b) 35 (c) 42 (d) 36
  36. 36.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 54 (b) 85 (c) 43 (d) 37
  37. 37.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 46? (a) 16 (b) 48 (c) 60 (d) 46
  38. 38.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 24 (c) 44 (d) 45
  39. 39.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 10 (b) 36 (c) 30 (d) 28
  40. 40.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) 1 (d) 13

Answer key

  1. 35
  2. 61
  3. 56
  4. 44
  5. 18
  6. 72
  7. 35
  8. 45
  9. 9
  10. 73
  11. 38
  12. 69
  13. 6
  14. 56
  15. 29
  16. 15
  17. 53
  18. 79
  19. 34
  20. 43
  21. 78
  22. 27
  23. 65
  24. 47
  25. 75
  26. 38
  27. 15
  28. 67
  29. 9
  30. 22
  31. 80
  32. 47
  33. 33
  34. 51
  35. 35
  36. 85
  37. 60
  38. 44
  39. 36
  40. 1

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