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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 472 · 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 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 23 (b) 20 (c) 4 (d) 39
  2. 2.What is the average of all the whole numbers from 16 to 46? (a) 15 (b) 31 (c) 32 (d) 30
  3. 3.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 42 (b) 74 (c) 67 (d) 102
  4. 4.What is the average of 21, 46, 21, 44 and 43? (a) 34 (b) 37 (c) 36 (d) 35
  5. 5.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 10 (b) 66 (c) 58 (d) 60
  6. 6.What is the average of all the whole numbers from 14 to 34? (a) 24 (b) 10 (c) 25 (d) 20
  7. 7.What is the average of all the whole numbers from 37 to 69? (a) 53 (b) 32 (c) 16 (d) 54
  8. 8.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 22 (b) 39 (c) 37 (d) 20
  9. 9.What is the average of all the whole numbers from 26 to 60? (a) 44 (b) 17 (c) 43 (d) 34
  10. 10.What is the average of all the whole numbers from 23 to 49? (a) 13 (b) 37 (c) 26 (d) 36
  11. 11.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 42 (b) 28 (c) 86 (d) 29
  12. 12.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 10 (b) 35 (c) 43 (d) 68
  13. 13.What is the average of 58, 56, 70 and 92? (a) 70 (b) 68 (c) 92 (d) 69
  14. 14.What is the average of all the whole numbers from 11 to 51? (a) 40 (b) 31 (c) 20 (d) 32
  15. 15.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 25 (c) 26 (d) 50
  16. 16.What is the average of 58, 50, 61, 58, 78 and 79? (a) 66 (b) 65 (c) 64 (d) 63
  17. 17.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 42 (c) 89 (d) 41
  18. 18.What is the average of all the whole numbers from 37 to 73? (a) 55 (b) 56 (c) 36 (d) 18
  19. 19.What is the average of 90, 66, 65 and 99? (a) 81 (b) 82 (c) 80 (d) 79
  20. 20.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 45 (b) 4 (c) 21 (d) 3
  21. 21.What is the average of all the whole numbers from 15 to 55? (a) 40 (b) 20 (c) 35 (d) 36
  22. 22.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 28? (a) 31 (b) 43 (c) 18 (d) 28
  23. 23.What is the average of 55, 57, 62, 67 and 39? (a) 70 (b) 57 (c) 55 (d) 56
  24. 24.What is the average of 45, 65, 68, 53, 52 and 35? (a) 54 (b) 53 (c) 52 (d) 55
  25. 25.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 52 (b) 5 (c) 95 (d) 48
  26. 26.What is the average of 38, 17, 29, 16, 28 and 34? (a) 29 (b) 26 (c) 27 (d) 28
  27. 27.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 77 (b) 22 (c) 21 (d) 36
  28. 28.What is the average of 15, 28, 19, 31, 13 and 62? (a) 29 (b) 30 (c) 27 (d) 28
  29. 29.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 60 (c) 30 (d) 36
  30. 30.What is the average of 26, 17, 28 and 25? (a) 25 (b) 32 (c) 23 (d) 24
  31. 31.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 49 (b) 15 (c) 14 (d) 23
  32. 32.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 46 (c) 12 (d) 52
  33. 33.What is the average of all the whole numbers from 60 to 100? (a) 40 (b) 80 (c) 81 (d) 20
  34. 34.What is the average of 75, 65, 59, 47 and 59? (a) 60 (b) 63 (c) 62 (d) 61
  35. 35.What is the average of 68, 53, 60 and 35? (a) 53 (b) 72 (c) 54 (d) 55
  36. 36.What is the average of all the whole numbers from 59 to 81? (a) 71 (b) 22 (c) 70 (d) 11
  37. 37.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 24 (b) 63 (c) 54 (d) 33
  38. 38.What is the average of all the whole numbers from 17 to 51? (a) 35 (b) 34 (c) 17 (d) 33
  39. 39.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 13 (b) 56 (c) 27 (d) 14
  40. 40.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 41 (c) 36 (d) 71

Answer key

  1. 23
  2. 31
  3. 102
  4. 35
  5. 66
  6. 24
  7. 53
  8. 37
  9. 43
  10. 36
  11. 28
  12. 43
  13. 69
  14. 31
  15. 25
  16. 64
  17. 41
  18. 55
  19. 80
  20. 3
  21. 35
  22. 43
  23. 56
  24. 53
  25. 52
  26. 27
  27. 21
  28. 28
  29. 60
  30. 24
  31. 14
  32. 52
  33. 80
  34. 61
  35. 54
  36. 70
  37. 54
  38. 34
  39. 13
  40. 71

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