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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 877 · 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 40, 43, 30 and 7? (a) 29 (b) 40 (c) 31 (d) 30
  2. 2.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 48 (b) 28 (c) 24 (d) 32
  3. 3.What is the average of all the whole numbers from 40 to 64? (a) 12 (b) 24 (c) 53 (d) 52
  4. 4.What is the average of all the whole numbers from 8 to 42? (a) 25 (b) 34 (c) 17 (d) 26
  5. 5.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 37 (c) 29 (d) 53
  6. 6.What is the average of 24, 31, 26, 23, 29 and 11? (a) 24 (b) 23 (c) 25 (d) 26
  7. 7.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 12 (c) 92 (d) 57
  8. 8.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 63 (b) 27 (c) 34 (d) 83
  9. 9.What is the average of all the whole numbers from 47 to 73? (a) 60 (b) 61 (c) 26 (d) 13
  10. 10.What is the average of all the whole numbers from 32 to 56? (a) 24 (b) 12 (c) 44 (d) 45
  11. 11.What is the average of 56, 63, 60, 58, 45 and 54? (a) 58 (b) 55 (c) 57 (d) 56
  12. 12.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 14 (b) 35 (c) 17 (d) 13
  13. 13.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 80 (c) 24 (d) 62
  14. 14.What is the average of 56, 46, 42, 39 and 42? (a) 46 (b) 45 (c) 44 (d) 47
  15. 15.What is the average of all the whole numbers from 28 to 50? (a) 40 (b) 11 (c) 22 (d) 39
  16. 16.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 43 (c) 73 (d) 40
  17. 17.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 20 (c) 19 (d) 31
  18. 18.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 65 (c) 33 (d) 36
  19. 19.What is the average of all the whole numbers from 50 to 78? (a) 28 (b) 64 (c) 65 (d) 14
  20. 20.What is the average of 40, 33, 48 and 55? (a) 45 (b) 43 (c) 44 (d) 46
  21. 21.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 42 (c) 83 (d) 4
  22. 22.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 21 (b) 33 (c) 12 (d) 24
  23. 23.What is the average of all the whole numbers from 34 to 58? (a) 47 (b) 46 (c) 24 (d) 12
  24. 24.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 22 (c) 38 (d) 40
  25. 25.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 8 (b) 97 (c) 56 (d) 49
  26. 26.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 21 (c) 17 (d) 43
  27. 27.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 29 (c) 35 (d) 10
  28. 28.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 58 (b) 17 (c) 16 (d) 28
  29. 29.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 30 (b) 37 (c) 31 (d) 75
  30. 30.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 31 (c) 15 (d) 9
  31. 31.What is the average of all the whole numbers from 53 to 61? (a) 58 (b) 4 (c) 57 (d) 8
  32. 32.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 26 (b) 89 (c) 25 (d) 43
  33. 33.What is the average of all the whole numbers from 47 to 59? (a) 6 (b) 53 (c) 54 (d) 12
  34. 34.What is the average of 18, 26, 13, 34 and 44? (a) 26 (b) 29 (c) 27 (d) 28
  35. 35.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 16 (b) 58 (c) 30 (d) 44
  36. 36.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 13 (b) 79 (c) 12 (d) 37
  37. 37.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 38 (b) 71 (c) 73 (d) 40
  38. 38.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 49 (c) 24 (d) 33
  39. 39.What is the average of 39, 26, 32, 43 and 10? (a) 31 (b) 29 (c) 30 (d) 32
  40. 40.What is the average of all the whole numbers from 8 to 38? (a) 23 (b) 30 (c) 24 (d) 15

Answer key

  1. 30
  2. 48
  3. 52
  4. 25
  5. 53
  6. 24
  7. 57
  8. 83
  9. 60
  10. 44
  11. 56
  12. 13
  13. 80
  14. 45
  15. 39
  16. 73
  17. 19
  18. 65
  19. 64
  20. 44
  21. 45
  22. 33
  23. 46
  24. 38
  25. 56
  26. 17
  27. 35
  28. 16
  29. 30
  30. 8
  31. 57
  32. 25
  33. 53
  34. 27
  35. 44
  36. 12
  37. 73
  38. 49
  39. 30
  40. 23

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