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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 585 · 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 73, 77, 57, 74 and 74? (a) 72 (b) 71 (c) 70 (d) 73
  2. 2.What is the average of 31, 37, 47, 32, 41 and 52? (a) 48 (b) 41 (c) 39 (d) 40
  3. 3.What is the average of 80, 75, 64 and 97? (a) 80 (b) 81 (c) 79 (d) 78
  4. 4.What is the average of all the whole numbers from 55 to 67? (a) 6 (b) 61 (c) 12 (d) 62
  5. 5.What is the average of 54, 37, 43 and 70? (a) 51 (b) 50 (c) 52 (d) 68
  6. 6.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 42 (c) 87 (d) 31
  7. 7.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 58 (b) 32 (c) 82 (d) 54
  8. 8.What is the average of 14, 12, 17, 37 and 35? (a) 25 (b) 23 (c) 22 (d) 24
  9. 9.What is the average of 37, 29, 37 and 33? (a) 33 (b) 35 (c) 36 (d) 34
  10. 10.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 78 (b) 58 (c) 54 (d) 28
  11. 11.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 8 (c) 12 (d) 18
  12. 12.What is the average of 38, 59, 46, 43, 39 and 57? (a) 49 (b) 47 (c) 48 (d) 46
  13. 13.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) 58 (b) 10 (c) 30 (d) 38
  14. 14.What is the average of all the whole numbers from 6 to 44? (a) 19 (b) 38 (c) 25 (d) 26
  15. 15.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 34 (d) 12
  16. 16.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 79 (b) 23 (c) 24 (d) 38
  17. 17.What is the average of 55, 63, 68 and 66? (a) 63 (b) 62 (c) 64 (d) 84
  18. 18.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 21 (c) 51 (d) 45
  19. 19.What is the average of 92, 71, 78, 77 and 67? (a) 78 (b) 77 (c) 76 (d) 79
  20. 20.What is the average of 27, 28, 49, 33, 28 and 57? (a) 39 (b) 36 (c) 37 (d) 38
  21. 21.What is the average of 66, 37, 65, 56, 62 and 20? (a) 51 (b) 53 (c) 52 (d) 50
  22. 22.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 95 (c) 45 (d) 44
  23. 23.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 48 (c) 28 (d) 69
  24. 24.What is the average of 37, 51, 63, 62, 36 and 57? (a) 51 (b) 53 (c) 50 (d) 52
  25. 25.What is the average of all the whole numbers from 16 to 48? (a) 33 (b) 32 (c) 31 (d) 16
  26. 26.What is the average of 28, 39, 14 and 31? (a) 27 (b) 28 (c) 30 (d) 29
  27. 27.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 27 (b) 6 (c) 22 (d) 43
  28. 28.What is the average of all the whole numbers from 8 to 44? (a) 27 (b) 26 (c) 18 (d) 36
  29. 29.What is the average of all the whole numbers from 9 to 23? (a) 17 (b) 14 (c) 7 (d) 16
  30. 30.What is the average of all the whole numbers from 12 to 52? (a) 20 (b) 32 (c) 40 (d) 33
  31. 31.What is the average of 57, 50, 27 and 34? (a) 41 (b) 43 (c) 56 (d) 42
  32. 32.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 79 (b) 18 (c) 17 (d) 38
  33. 33.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 20 (c) 53 (d) 69
  34. 34.What is the average of 55, 77, 68 and 60? (a) 65 (b) 66 (c) 67 (d) 64
  35. 35.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) 20 (b) 39 (c) 4 (d) 23
  36. 36.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 48? (a) 76 (b) 48 (c) 35 (d) 55
  37. 37.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 6 (c) 11 (d) 5
  38. 38.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 30 (b) 38 (c) 44 (d) 62
  39. 39.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 5 (b) 18 (c) 27 (d) 14
  40. 40.What is the average of 30, 20, 44 and 22? (a) 30 (b) 28 (c) 29 (d) 31

Answer key

  1. 71
  2. 40
  3. 79
  4. 61
  5. 51
  6. 30
  7. 82
  8. 23
  9. 34
  10. 78
  11. 18
  12. 47
  13. 38
  14. 25
  15. 34
  16. 23
  17. 63
  18. 45
  19. 77
  20. 37
  21. 51
  22. 44
  23. 69
  24. 51
  25. 32
  26. 28
  27. 27
  28. 26
  29. 16
  30. 32
  31. 42
  32. 17
  33. 69
  34. 65
  35. 23
  36. 76
  37. 5
  38. 62
  39. 18
  40. 29

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