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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 47 · 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 8, 21, 14, 25 and 47? (a) 24 (b) 22 (c) 25 (d) 23
  2. 2.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 65 (c) 21 (d) 47
  3. 3.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 115 (b) 66 (c) 114 (d) 60
  4. 4.What is the average of 83, 62, 57, 84, 85 and 49? (a) 71 (b) 69 (c) 84 (d) 70
  5. 5.What is the average of all the whole numbers from 16 to 26? (a) 22 (b) 5 (c) 21 (d) 10
  6. 6.What is the average of 55, 68, 77, 66 and 44? (a) 61 (b) 62 (c) 63 (d) 64
  7. 7.What is the average of all the whole numbers from 56 to 92? (a) 36 (b) 74 (c) 18 (d) 75
  8. 8.What is the average of all the whole numbers from 49 to 81? (a) 32 (b) 65 (c) 16 (d) 66
  9. 9.What is the average of 42, 57, 61, 41, 61 and 56? (a) 55 (b) 53 (c) 54 (d) 52
  10. 10.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 11 (c) 12 (d) 35
  11. 11.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 106 (b) 50 (c) 64 (d) 58
  12. 12.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 26 (c) 47 (d) 61
  13. 13.What is the average of 54, 51, 59, 58 and 48? (a) 54 (b) 53 (c) 55 (d) 56
  14. 14.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 42 (c) 40 (d) 85
  15. 15.What is the average of 33, 26, 30 and 15? (a) 27 (b) 26 (c) 25 (d) 28
  16. 16.What is the average of 46, 26, 40 and 12? (a) 30 (b) 33 (c) 32 (d) 31
  17. 17.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 57? (a) 64 (b) 42 (c) 92 (d) 57
  18. 18.What is the average of all the whole numbers from 47 to 61? (a) 54 (b) 7 (c) 55 (d) 14
  19. 19.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 18 (b) 30 (c) 44 (d) 28
  20. 20.What is the average of all the whole numbers from 34 to 68? (a) 17 (b) 51 (c) 52 (d) 34
  21. 21.What is the average of 68, 60, 69, 72, 62 and 23? (a) 58 (b) 59 (c) 61 (d) 60
  22. 22.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 50 (c) 74 (d) 27
  23. 23.What is the average of 36, 19, 19 and 22? (a) 24 (b) 23 (c) 32 (d) 25
  24. 24.What is the average of all the whole numbers from 24 to 44? (a) 20 (b) 35 (c) 10 (d) 34
  25. 25.What is the average of 57, 45, 54, 61 and 63? (a) 70 (b) 55 (c) 56 (d) 57
  26. 26.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 32 (c) 71 (d) 31
  27. 27.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 44 (c) 28 (d) 32
  28. 28.What is the average of 16, 36, 18 and 34? (a) 27 (b) 25 (c) 28 (d) 26
  29. 29.What is the average of 35, 17, 13, 10 and 45? (a) 30 (b) 25 (c) 24 (d) 23
  30. 30.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 8 (c) 56 (d) 35
  31. 31.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 121 (b) 80 (c) 57 (d) 49
  32. 32.What is the average of all the whole numbers from 7 to 25? (a) 18 (b) 9 (c) 17 (d) 16
  33. 33.What is the average of 46, 29, 44, 44 and 37? (a) 39 (b) 40 (c) 41 (d) 50
  34. 34.What is the average of 76, 60, 75, 66, 83 and 60? (a) 84 (b) 71 (c) 69 (d) 70
  35. 35.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 120 (b) 66 (c) 72 (d) 60
  36. 36.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 95 (c) 41 (d) 40
  37. 37.What is the average of 61, 47, 61, 34, 53 and 32? (a) 50 (b) 47 (c) 49 (d) 48
  38. 38.What is the average of 27, 20, 38, 16, 30 and 49? (a) 36 (b) 31 (c) 30 (d) 29
  39. 39.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 101 (b) 70 (c) 38 (d) 45
  40. 40.What is the average of all the whole numbers from 54 to 66? (a) 61 (b) 6 (c) 12 (d) 60

Answer key

  1. 23
  2. 65
  3. 114
  4. 70
  5. 21
  6. 62
  7. 74
  8. 65
  9. 53
  10. 11
  11. 106
  12. 61
  13. 54
  14. 39
  15. 26
  16. 31
  17. 92
  18. 54
  19. 44
  20. 51
  21. 59
  22. 74
  23. 24
  24. 34
  25. 56
  26. 31
  27. 44
  28. 26
  29. 24
  30. 35
  31. 121
  32. 16
  33. 40
  34. 70
  35. 120
  36. 40
  37. 48
  38. 30
  39. 101
  40. 60

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