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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 672 · 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 50, 63, 34 and 49? (a) 50 (b) 48 (c) 49 (d) 51
  2. 2.What is the average of all the whole numbers from 49 to 77? (a) 28 (b) 14 (c) 64 (d) 63
  3. 3.What is the average of 60, 77, 53, 82, 67 and 69? (a) 69 (b) 67 (c) 68 (d) 70
  4. 4.What is the average of 22, 12, 27 and 35? (a) 23 (b) 32 (c) 24 (d) 25
  5. 5.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 48? (a) 48 (b) 32 (c) 72 (d) 56
  6. 6.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 53 (b) 14 (c) 80 (d) 41
  7. 7.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 68 (b) 32 (c) 76 (d) 92
  8. 8.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) 36 (b) 37 (c) 99 (d) 48
  9. 9.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 22 (c) 11 (d) 34
  10. 10.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 31 (b) 38 (c) 17 (d) 24
  11. 11.What is the average of 51, 69, 44 and 56? (a) 54 (b) 57 (c) 55 (d) 56
  12. 12.What is the average of 19, 38, 23, 16 and 19? (a) 25 (b) 24 (c) 23 (d) 22
  13. 13.What is the average of 84, 77, 87 and 64? (a) 104 (b) 79 (c) 78 (d) 77
  14. 14.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 4 (c) 33 (d) 20
  15. 15.What is the average of 66, 58, 69, 82 and 85? (a) 73 (b) 71 (c) 72 (d) 90
  16. 16.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 6 (b) 25 (c) 5 (d) 55
  17. 17.What is the average of all the whole numbers from 34 to 68? (a) 52 (b) 17 (c) 51 (d) 34
  18. 18.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 12 (c) 47 (d) 37
  19. 19.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 25 (b) 10 (c) 18 (d) 17
  20. 20.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 41 (b) 23 (c) 30 (d) 48
  21. 21.What is the average of 15, 29, 36, 16 and 54? (a) 31 (b) 32 (c) 30 (d) 29
  22. 22.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 54 (b) 28 (c) 76 (d) 34
  23. 23.What is the average of all the whole numbers from 41 to 67? (a) 13 (b) 26 (c) 55 (d) 54
  24. 24.What is the average of all the whole numbers from 54 to 62? (a) 59 (b) 58 (c) 4 (d) 8
  25. 25.What is the average of 70, 60, 75 and 51? (a) 63 (b) 66 (c) 64 (d) 65
  26. 26.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 66? (a) 106 (b) 48 (c) 74 (d) 66
  27. 27.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 99 (b) 47 (c) 49 (d) 46
  28. 28.What is the average of all the whole numbers from 56 to 94? (a) 75 (b) 38 (c) 19 (d) 76
  29. 29.What is the average of all the whole numbers from 17 to 41? (a) 30 (b) 12 (c) 29 (d) 24
  30. 30.What is the average of all the whole numbers from 10 to 16? (a) 6 (b) 3 (c) 14 (d) 13
  31. 31.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 30 (b) 27 (c) 15 (d) 18
  32. 32.What is the average of 65, 81, 69, 73, 83 and 73? (a) 76 (b) 75 (c) 73 (d) 74
  33. 33.What is the average of 69, 53, 64, 57, 55 and 86? (a) 66 (b) 63 (c) 65 (d) 64
  34. 34.What is the average of 76, 75, 62, 73 and 69? (a) 73 (b) 70 (c) 72 (d) 71
  35. 35.What is the average of all the whole numbers from 43 to 65? (a) 11 (b) 55 (c) 22 (d) 54
  36. 36.What is the average of 25, 40, 41, 37, 36 and 1? (a) 36 (b) 29 (c) 31 (d) 30
  37. 37.What is the average of 34, 30, 18, 17 and 36? (a) 28 (b) 29 (c) 27 (d) 26
  38. 38.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 50 (b) 44 (c) 8 (d) 86
  39. 39.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 10 (b) 36 (c) 70 (d) 44
  40. 40.What is the average of all the whole numbers from 17 to 25? (a) 22 (b) 21 (c) 4 (d) 8

Answer key

  1. 49
  2. 63
  3. 68
  4. 24
  5. 72
  6. 53
  7. 92
  8. 36
  9. 34
  10. 38
  11. 55
  12. 23
  13. 78
  14. 20
  15. 72
  16. 5
  17. 51
  18. 47
  19. 25
  20. 48
  21. 30
  22. 76
  23. 54
  24. 58
  25. 64
  26. 106
  27. 46
  28. 75
  29. 29
  30. 13
  31. 30
  32. 74
  33. 64
  34. 71
  35. 54
  36. 30
  37. 27
  38. 50
  39. 44
  40. 21

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