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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 275 · 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 4 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 21 (b) 20 (c) 13 (d) 28
  2. 2.What is the average of 49, 59, 55, 39 and 58? (a) 53 (b) 52 (c) 51 (d) 65
  3. 3.What is the average of 41, 38, 55, 36, 37 and 63? (a) 46 (b) 45 (c) 54 (d) 44
  4. 4.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 20 (d) 42
  5. 5.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 40 (b) 95 (c) 71 (d) 63
  6. 6.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 57 (b) 49 (c) 96 (d) 10
  7. 7.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 50 (b) 38 (c) 14 (d) 26
  8. 8.What is the average of all the whole numbers from 10 to 38? (a) 24 (b) 14 (c) 28 (d) 25
  9. 9.What is the average of all the whole numbers from 19 to 25? (a) 22 (b) 3 (c) 23 (d) 6
  10. 10.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 45 (b) 24 (c) 21 (d) 42
  11. 11.What is the average of 80, 63, 61 and 100? (a) 76 (b) 77 (c) 75 (d) 78
  12. 12.What is the average of 67, 70, 81, 78, 83 and 41? (a) 71 (b) 70 (c) 84 (d) 69
  13. 13.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 6 (b) 40 (c) 5 (d) 19
  14. 14.What is the average of 29, 22, 25 and 72? (a) 39 (b) 38 (c) 37 (d) 36
  15. 15.What is the average of all the whole numbers from 20 to 26? (a) 23 (b) 24 (c) 3 (d) 6
  16. 16.What is the average of all the whole numbers from 34 to 72? (a) 38 (b) 54 (c) 53 (d) 19
  17. 17.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 8 (b) 12 (c) 7 (d) 25
  18. 18.What is the average of 56, 57, 52, 64, 56 and 57? (a) 56 (b) 58 (c) 57 (d) 59
  19. 19.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 36 (c) 73 (d) 31
  20. 20.What is the average of 17, 37, 19, 29, 24 and 30? (a) 26 (b) 28 (c) 25 (d) 27
  21. 21.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 130 (b) 74 (c) 66 (d) 72
  22. 22.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 102 (b) 25 (c) 26 (d) 49
  23. 23.What is the average of 55, 83, 58, 60 and 94? (a) 70 (b) 69 (c) 72 (d) 71
  24. 24.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 4 (c) 61 (d) 34
  25. 25.What is the average of all the whole numbers from 32 to 46? (a) 39 (b) 14 (c) 7 (d) 40
  26. 26.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 30 (c) 34 (d) 69
  27. 27.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 81 (b) 15 (c) 54 (d) 42
  28. 28.What is the average of 33, 60, 34 and 57? (a) 47 (b) 46 (c) 45 (d) 48
  29. 29.What is the average of all the whole numbers from 59 to 71? (a) 6 (b) 65 (c) 66 (d) 12
  30. 30.What is the average of 64, 79, 60, 79 and 53? (a) 67 (b) 66 (c) 69 (d) 68
  31. 31.What is the average of all the whole numbers from 48 to 88? (a) 20 (b) 40 (c) 69 (d) 68
  32. 32.What is the average of all the whole numbers from 36 to 48? (a) 42 (b) 6 (c) 12 (d) 43
  33. 33.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 83 (b) 18 (c) 43 (d) 58
  34. 34.What is the average of all the whole numbers from 53 to 63? (a) 5 (b) 59 (c) 10 (d) 58
  35. 35.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 20 (c) 48 (d) 26
  36. 36.What is the average of all the whole numbers from 37 to 67? (a) 30 (b) 15 (c) 53 (d) 52
  37. 37.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 30 (c) 93 (d) 74
  38. 38.What is the average of 65, 78, 60, 74, 48 and 53? (a) 65 (b) 64 (c) 63 (d) 62
  39. 39.What is the average of 16, 21, 30, 22 and 11? (a) 25 (b) 21 (c) 20 (d) 19
  40. 40.What is the average of 55, 66, 54 and 65? (a) 60 (b) 61 (c) 59 (d) 80

Answer key

  1. 28
  2. 52
  3. 45
  4. 42
  5. 95
  6. 57
  7. 38
  8. 24
  9. 22
  10. 42
  11. 76
  12. 70
  13. 5
  14. 37
  15. 23
  16. 53
  17. 7
  18. 57
  19. 30
  20. 26
  21. 130
  22. 25
  23. 70
  24. 34
  25. 39
  26. 30
  27. 54
  28. 46
  29. 65
  30. 67
  31. 68
  32. 42
  33. 58
  34. 58
  35. 42
  36. 52
  37. 74
  38. 63
  39. 20
  40. 60

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