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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 602 · 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.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) 25 (b) 17 (c) 13 (d) 5
  2. 2.What is the average of 36, 36, 17, 35 and 21? (a) 31 (b) 29 (c) 30 (d) 28
  3. 3.What is the average of 75, 74, 59, 47 and 55? (a) 64 (b) 62 (c) 61 (d) 63
  4. 4.What is the average of 32, 35, 35 and 54? (a) 39 (b) 40 (c) 38 (d) 52
  5. 5.What is the average of all the whole numbers from 16 to 52? (a) 34 (b) 18 (c) 36 (d) 35
  6. 6.What is the average of 26, 33, 21 and 24? (a) 26 (b) 27 (c) 28 (d) 25
  7. 7.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 13 (b) 99 (c) 12 (d) 47
  8. 8.What is the average of all the whole numbers from 12 to 30? (a) 18 (b) 9 (c) 21 (d) 22
  9. 9.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 54 (b) 12 (c) 62 (d) 52
  10. 10.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 32 (c) 42 (d) 24
  11. 11.What is the average of all the whole numbers from 48 to 56? (a) 4 (b) 52 (c) 8 (d) 53
  12. 12.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 14 (b) 34 (c) 66 (d) 46
  13. 13.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 60 (b) 42 (c) 48 (d) 24
  14. 14.What is the average of all the whole numbers from 51 to 87? (a) 18 (b) 70 (c) 69 (d) 36
  15. 15.What is the average of all the whole numbers from 8 to 30? (a) 22 (b) 19 (c) 20 (d) 11
  16. 16.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 40 (b) 60 (c) 90 (d) 55
  17. 17.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 53 (c) 18 (d) 9
  18. 18.What is the average of all the whole numbers from 58 to 70? (a) 12 (b) 6 (c) 65 (d) 64
  19. 19.What is the average of 53, 58, 47 and 66? (a) 58 (b) 55 (c) 56 (d) 57
  20. 20.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 104 (c) 49 (d) 69
  21. 21.What is the average of all the whole numbers from 53 to 87? (a) 17 (b) 71 (c) 34 (d) 70
  22. 22.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 40 (b) 14 (c) 30 (d) 28
  23. 23.What is the average of 70, 83, 68, 90, 69 and 94? (a) 80 (b) 81 (c) 79 (d) 78
  24. 24.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 105 (c) 50 (d) 60
  25. 25.What is the average of 51, 56, 69, 57 and 62? (a) 59 (b) 58 (c) 60 (d) 61
  26. 26.What is the average of 48, 55, 45 and 12? (a) 40 (b) 42 (c) 39 (d) 41
  27. 27.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 33 (b) 51 (c) 26 (d) 8
  28. 28.What is the average of 50, 59, 73, 47, 66 and 65? (a) 72 (b) 59 (c) 61 (d) 60
  29. 29.What is the average of 42, 30, 44, 46, 52 and 56? (a) 44 (b) 54 (c) 45 (d) 46
  30. 30.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 22 (b) 27 (c) 55 (d) 23
  31. 31.What is the average of 76, 53, 57 and 82? (a) 67 (b) 69 (c) 68 (d) 66
  32. 32.What is the average of 61, 56, 75 and 92? (a) 72 (b) 71 (c) 70 (d) 73
  33. 33.What is the average of 63, 72, 62, 55, 45 and 63? (a) 60 (b) 59 (c) 72 (d) 61
  34. 34.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) 12 (b) 31 (c) 41 (d) 33
  35. 35.What is the average of all the whole numbers from 9 to 23? (a) 14 (b) 7 (c) 17 (d) 16
  36. 36.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 84 (c) 56 (d) 16
  37. 37.What is the average of 69, 82, 83, 70 and 76? (a) 76 (b) 95 (c) 77 (d) 75
  38. 38.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 49 (c) 21 (d) 32
  39. 39.What is the average of all the whole numbers from 9 to 41? (a) 25 (b) 16 (c) 32 (d) 26
  40. 40.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 42 (c) 86 (d) 28

Answer key

  1. 17
  2. 29
  3. 62
  4. 39
  5. 34
  6. 26
  7. 12
  8. 21
  9. 62
  10. 42
  11. 52
  12. 46
  13. 60
  14. 69
  15. 19
  16. 90
  17. 53
  18. 64
  19. 56
  20. 104
  21. 70
  22. 40
  23. 79
  24. 105
  25. 59
  26. 40
  27. 33
  28. 60
  29. 45
  30. 22
  31. 67
  32. 71
  33. 60
  34. 41
  35. 16
  36. 56
  37. 76
  38. 49
  39. 25
  40. 28

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