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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 623 · 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 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 21 (c) 27 (d) 8
  2. 2.What is the average of all the whole numbers from 54 to 74? (a) 64 (b) 20 (c) 10 (d) 65
  3. 3.What is the average of all the whole numbers from 20 to 50? (a) 35 (b) 30 (c) 36 (d) 15
  4. 4.What is the average of all the whole numbers from 51 to 83? (a) 16 (b) 67 (c) 68 (d) 32
  5. 5.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 70 (b) 33 (c) 40 (d) 96
  6. 6.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 15 (c) 30 (d) 42
  7. 7.What is the average of 55, 75, 74, 50, 52 and 72? (a) 63 (b) 62 (c) 65 (d) 64
  8. 8.What is the average of all the whole numbers from 26 to 56? (a) 30 (b) 15 (c) 42 (d) 41
  9. 9.What is the average of 43, 45, 44, 27 and 51? (a) 43 (b) 41 (c) 42 (d) 44
  10. 10.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 60 (b) 20 (c) 45 (d) 85
  11. 11.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 8 (b) 61 (c) 65 (d) 59
  12. 12.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 67 (c) 57 (d) 20
  13. 13.What is the average of 60, 76, 61, 60, 56 and 89? (a) 66 (b) 67 (c) 68 (d) 69
  14. 14.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 31 (b) 18 (c) 17 (d) 32
  15. 15.What is the average of all the whole numbers from 59 to 95? (a) 77 (b) 36 (c) 18 (d) 78
  16. 16.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 108 (c) 109 (d) 60
  17. 17.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 72 (b) 40 (c) 69 (d) 37
  18. 18.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 50 (c) 15 (d) 16
  19. 19.What is the average of 67, 56, 43, 47, 67 and 68? (a) 59 (b) 58 (c) 57 (d) 60
  20. 20.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 43? (a) 51 (b) 10 (c) 45 (d) 43
  21. 21.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 50 (b) 7 (c) 44 (d) 87
  22. 22.What is the average of all the whole numbers from 60 to 96? (a) 36 (b) 18 (c) 79 (d) 78
  23. 23.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 5 (b) 12 (c) 26 (d) 4
  24. 24.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 20 (b) 70 (c) 37 (d) 53
  25. 25.What is the average of all the whole numbers from 21 to 27? (a) 24 (b) 25 (c) 3 (d) 6
  26. 26.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 15 (b) 66 (c) 31 (d) 16
  27. 27.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 64 (c) 65 (d) 66
  28. 28.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) 28 (b) 13 (c) 20 (d) 21
  29. 29.What is the average of 66, 91, 63 and 84? (a) 76 (b) 77 (c) 75 (d) 78
  30. 30.What is the average of 74, 76, 70 and 64? (a) 71 (b) 72 (c) 70 (d) 73
  31. 31.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 61 (b) 14 (c) 96 (d) 49
  32. 32.What is the average of 34, 28, 33, 53, 29 and 81? (a) 42 (b) 43 (c) 45 (d) 44
  33. 33.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 17 (c) 8 (d) 10
  34. 34.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 24 (c) 21 (d) 10
  35. 35.What is the average of 59, 43, 64, 40 and 44? (a) 52 (b) 50 (c) 49 (d) 51
  36. 36.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 98 (c) 70 (d) 42
  37. 37.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 25 (b) 13 (c) 53 (d) 14
  38. 38.What is the average of all the whole numbers from 17 to 39? (a) 22 (b) 11 (c) 28 (d) 29
  39. 39.What is the average of 68, 77, 73, 70 and 62? (a) 72 (b) 71 (c) 70 (d) 69
  40. 40.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 24 (c) 42 (d) 32

Answer key

  1. 21
  2. 64
  3. 35
  4. 67
  5. 96
  6. 42
  7. 63
  8. 41
  9. 42
  10. 60
  11. 65
  12. 67
  13. 67
  14. 32
  15. 77
  16. 108
  17. 72
  18. 15
  19. 58
  20. 51
  21. 50
  22. 78
  23. 4
  24. 53
  25. 24
  26. 15
  27. 65
  28. 28
  29. 76
  30. 71
  31. 61
  32. 43
  33. 17
  34. 21
  35. 50
  36. 98
  37. 13
  38. 28
  39. 70
  40. 42

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