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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 48 · 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 64, 51, 55 and 54? (a) 56 (b) 55 (c) 57 (d) 58
  2. 2.What is the average of 87, 73, 67 and 81? (a) 79 (b) 78 (c) 77 (d) 76
  3. 3.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 72 (b) 44 (c) 108 (d) 52
  4. 4.What is the average of 81, 58, 68, 62, 82 and 51? (a) 69 (b) 66 (c) 67 (d) 68
  5. 5.What is the average of 41, 35, 33, 49, 35 and 59? (a) 42 (b) 44 (c) 41 (d) 43
  6. 6.What is the average of all the whole numbers from 23 to 33? (a) 29 (b) 5 (c) 28 (d) 10
  7. 7.What is the average of all the whole numbers from 17 to 27? (a) 10 (b) 5 (c) 23 (d) 22
  8. 8.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 95 (c) 40 (d) 65
  9. 9.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 50 (b) 44 (c) 60 (d) 98
  10. 10.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 13 (c) 12 (d) 52
  11. 11.What is the average of 14, 11, 13 and 62? (a) 26 (b) 25 (c) 24 (d) 27
  12. 12.What is the average of all the whole numbers from 38 to 62? (a) 50 (b) 24 (c) 12 (d) 51
  13. 13.What is the average of 24, 19, 19, 10, 25 and 47? (a) 23 (b) 25 (c) 26 (d) 24
  14. 14.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 34? (a) 39 (b) 34 (c) 30 (d) 59
  15. 15.What is the average of all the whole numbers from 59 to 73? (a) 14 (b) 67 (c) 66 (d) 7
  16. 16.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 23 (c) 18 (d) 16
  17. 17.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 59 (b) 31 (c) 38 (d) 35
  18. 18.What is the average of all the whole numbers from 56 to 86? (a) 72 (b) 30 (c) 15 (d) 71
  19. 19.What is the average of 9, 16, 22 and 41? (a) 22 (b) 23 (c) 24 (d) 21
  20. 20.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 15 (c) 30 (d) 40
  21. 21.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 24 (b) 53 (c) 23 (d) 26
  22. 22.What is the average of 31, 27, 30 and 56? (a) 36 (b) 48 (c) 37 (d) 35
  23. 23.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 47 (b) 43 (c) 32 (d) 71
  24. 24.What is the average of 8, 29, 32, 28, 30 and 11? (a) 24 (b) 25 (c) 23 (d) 22
  25. 25.What is the average of all the whole numbers from 47 to 71? (a) 60 (b) 24 (c) 12 (d) 59
  26. 26.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 51 (b) 69 (c) 30 (d) 45
  27. 27.What is the average of 74, 71, 75, 78 and 57? (a) 72 (b) 73 (c) 70 (d) 71
  28. 28.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 2 (b) 17 (c) 3 (d) 37
  29. 29.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 15 (b) 14 (c) 38 (d) 80
  30. 30.What is the average of 20, 37, 20 and 55? (a) 32 (b) 44 (c) 34 (d) 33
  31. 31.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 96 (c) 54 (d) 97
  32. 32.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 19 (c) 4 (d) 10
  33. 33.What is the average of all the whole numbers from 20 to 54? (a) 38 (b) 37 (c) 34 (d) 17
  34. 34.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 18 (b) 62 (c) 91 (d) 47
  35. 35.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 64 (c) 54 (d) 24
  36. 36.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 35 (b) 24 (c) 7 (d) 18
  37. 37.What is the average of all the whole numbers from 44 to 62? (a) 9 (b) 18 (c) 53 (d) 54
  38. 38.What is the average of 48, 44, 62 and 82? (a) 60 (b) 61 (c) 59 (d) 58
  39. 39.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 18 (c) 13 (d) 6
  40. 40.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 63 (b) 43 (c) 81 (d) 25

Answer key

  1. 56
  2. 77
  3. 108
  4. 67
  5. 42
  6. 28
  7. 22
  8. 95
  9. 98
  10. 12
  11. 25
  12. 50
  13. 24
  14. 59
  15. 66
  16. 23
  17. 59
  18. 71
  19. 22
  20. 40
  21. 23
  22. 36
  23. 71
  24. 23
  25. 59
  26. 69
  27. 71
  28. 2
  29. 14
  30. 33
  31. 96
  32. 13
  33. 37
  34. 62
  35. 54
  36. 24
  37. 53
  38. 59
  39. 18
  40. 63

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