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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 90 · 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 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 8 (b) 15 (c) 29 (d) 22
  2. 2.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 31 (b) 81 (c) 30 (d) 39
  3. 3.What is the average of all the whole numbers from 32 to 50? (a) 9 (b) 41 (c) 18 (d) 42
  4. 4.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 17 (c) 10 (d) 11
  5. 5.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 31 (c) 20 (d) 33
  6. 6.What is the average of all the whole numbers from 50 to 76? (a) 64 (b) 63 (c) 13 (d) 26
  7. 7.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 37 (b) 99 (c) 36 (d) 48
  8. 8.What is the average of 58, 78, 57, 64 and 103? (a) 90 (b) 73 (c) 71 (d) 72
  9. 9.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 50 (c) 58 (d) 103
  10. 10.What is the average of all the whole numbers from 27 to 59? (a) 43 (b) 16 (c) 44 (d) 32
  11. 11.What is the average of all the whole numbers from 41 to 47? (a) 45 (b) 44 (c) 6 (d) 3
  12. 12.What is the average of 63, 36, 43 and 62? (a) 50 (b) 68 (c) 52 (d) 51
  13. 13.What is the average of 49, 50, 33 and 20? (a) 39 (b) 37 (c) 40 (d) 38
  14. 14.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 35 (c) 61 (d) 36
  15. 15.What is the average of all the whole numbers from 7 to 37? (a) 23 (b) 15 (c) 22 (d) 30
  16. 16.What is the average of all the whole numbers from 19 to 51? (a) 32 (b) 16 (c) 36 (d) 35
  17. 17.What is the average of all the whole numbers from 9 to 31? (a) 11 (b) 20 (c) 21 (d) 22
  18. 18.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 45 (c) 18 (d) 30
  19. 19.What is the average of 66, 53, 61 and 72? (a) 63 (b) 84 (c) 62 (d) 64
  20. 20.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 28 (b) 12 (c) 34 (d) 18
  21. 21.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 42 (c) 44 (d) 79
  22. 22.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 34 (c) 30 (d) 29
  23. 23.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 79 (b) 39 (c) 31 (d) 56
  24. 24.What is the average of 78, 81, 72, 56, 64 and 75? (a) 71 (b) 73 (c) 72 (d) 70
  25. 25.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 62 (b) 72 (c) 38 (d) 28
  26. 26.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 11 (b) 52 (c) 25 (d) 12
  27. 27.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 100 (b) 48 (c) 37 (d) 36
  28. 28.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 18 (b) 54 (c) 19 (d) 26
  29. 29.What is the average of 64, 67, 82 and 75? (a) 73 (b) 96 (c) 71 (d) 72
  30. 30.What is the average of 23, 39, 29, 26, 40 and 5? (a) 28 (b) 26 (c) 29 (d) 27
  31. 31.What is the average of 42, 46, 40 and 84? (a) 54 (b) 52 (c) 55 (d) 53
  32. 32.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 78 (c) 58 (d) 25
  33. 33.What is the average of 86, 73, 62, 83 and 51? (a) 72 (b) 70 (c) 73 (d) 71
  34. 34.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 78 (b) 53 (c) 35 (d) 48
  35. 35.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 62? (a) 134 (b) 80 (c) 62 (d) 70
  36. 36.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 46 (b) 23 (c) 22 (d) 96
  37. 37.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 44 (b) 24 (c) 91 (d) 23
  38. 38.What is the average of 19, 18, 46, 41 and 36? (a) 33 (b) 32 (c) 31 (d) 40
  39. 39.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 48 (c) 35 (d) 12
  40. 40.What is the average of all the whole numbers from 58 to 66? (a) 62 (b) 8 (c) 4 (d) 63

Answer key

  1. 22
  2. 30
  3. 41
  4. 10
  5. 33
  6. 63
  7. 36
  8. 72
  9. 103
  10. 43
  11. 44
  12. 51
  13. 38
  14. 61
  15. 22
  16. 35
  17. 20
  18. 45
  19. 63
  20. 28
  21. 79
  22. 29
  23. 79
  24. 71
  25. 62
  26. 11
  27. 36
  28. 18
  29. 72
  30. 27
  31. 53
  32. 78
  33. 71
  34. 78
  35. 134
  36. 22
  37. 23
  38. 32
  39. 35
  40. 62

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