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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 721 · 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 all the whole numbers from 15 to 43? (a) 14 (b) 29 (c) 30 (d) 28
  2. 2.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 23 (c) 5 (d) 12
  3. 3.What is the average of 83, 80, 85 and 68? (a) 78 (b) 81 (c) 80 (d) 79
  4. 4.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 13 (b) 28 (c) 6 (d) 5
  5. 5.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 64 (c) 39 (d) 35
  6. 6.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 33 (c) 10 (d) 35
  7. 7.What is the average of 63, 53, 73, 54 and 87? (a) 68 (b) 65 (c) 67 (d) 66
  8. 8.What is the average of all the whole numbers from 36 to 44? (a) 40 (b) 4 (c) 41 (d) 8
  9. 9.What is the average of 51, 38, 59 and 44? (a) 64 (b) 48 (c) 47 (d) 49
  10. 10.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 23 (c) 15 (d) 13
  11. 11.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 68 (b) 48 (c) 16 (d) 36
  12. 12.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 30 (c) 53 (d) 71
  13. 13.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 93 (c) 37 (d) 64
  14. 14.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 62 (c) 25 (d) 42
  15. 15.What is the average of all the whole numbers from 13 to 37? (a) 24 (b) 26 (c) 12 (d) 25
  16. 16.What is the average of 22, 35, 12, 32, 36 and 7? (a) 26 (b) 23 (c) 24 (d) 25
  17. 17.What is the average of 27, 14, 30, 29 and 35? (a) 28 (b) 26 (c) 29 (d) 27
  18. 18.What is the average of all the whole numbers from 36 to 66? (a) 30 (b) 51 (c) 15 (d) 52
  19. 19.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 32 (b) 49 (c) 41 (d) 65
  20. 20.What is the average of all the whole numbers from 27 to 41? (a) 34 (b) 35 (c) 7 (d) 14
  21. 21.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 10 (b) 48 (c) 94 (d) 56
  22. 22.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 58 (c) 10 (d) 38
  23. 23.What is the average of all the whole numbers from 23 to 53? (a) 39 (b) 38 (c) 30 (d) 15
  24. 24.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 63 (b) 29 (c) 5 (d) 4
  25. 25.What is the average of 53, 55, 51, 57 and 59? (a) 56 (b) 57 (c) 55 (d) 54
  26. 26.What is the average of 77, 65, 79, 55 and 69? (a) 68 (b) 70 (c) 71 (d) 69
  27. 27.What is the average of all the whole numbers from 35 to 45? (a) 5 (b) 10 (c) 41 (d) 40
  28. 28.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 75 (b) 45 (c) 40 (d) 35
  29. 29.What is the average of 68, 60, 69 and 91? (a) 96 (b) 71 (c) 72 (d) 73
  30. 30.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 35 (b) 24 (c) 34 (d) 14
  31. 31.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 80 (b) 56 (c) 62 (d) 30
  32. 32.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 8 (c) 49 (d) 42
  33. 33.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 71 (b) 87 (c) 46 (d) 30
  34. 34.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 64 (b) 32 (c) 65 (d) 36
  35. 35.What is the average of 20, 43, 28, 38 and 41? (a) 33 (b) 34 (c) 36 (d) 35
  36. 36.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 36 (c) 69 (d) 45
  37. 37.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 15 (c) 25 (d) 12
  38. 38.What is the average of 56, 40, 40, 50 and 39? (a) 45 (b) 47 (c) 46 (d) 44
  39. 39.What is the average of all the whole numbers from 42 to 54? (a) 49 (b) 48 (c) 6 (d) 12
  40. 40.What is the average of 61, 64, 50, 36, 61 and 28? (a) 49 (b) 50 (c) 51 (d) 60

Answer key

  1. 29
  2. 16
  3. 79
  4. 5
  5. 64
  6. 41
  7. 66
  8. 40
  9. 48
  10. 25
  11. 48
  12. 71
  13. 93
  14. 62
  15. 25
  16. 24
  17. 27
  18. 51
  19. 65
  20. 34
  21. 56
  22. 38
  23. 38
  24. 4
  25. 55
  26. 69
  27. 40
  28. 75
  29. 72
  30. 34
  31. 80
  32. 49
  33. 71
  34. 64
  35. 34
  36. 45
  37. 25
  38. 45
  39. 48
  40. 50

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