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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 142 · 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 all the whole numbers from 23 to 49? (a) 37 (b) 36 (c) 26 (d) 13
  2. 2.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 32? (a) 32 (b) 20 (c) 50 (d) 34
  3. 3.What is the average of 18, 43, 33 and 30? (a) 33 (b) 30 (c) 32 (d) 31
  4. 4.What is the average of 53, 34, 42, 56 and 40? (a) 46 (b) 47 (c) 45 (d) 44
  5. 5.What is the average of all the whole numbers from 47 to 65? (a) 9 (b) 18 (c) 57 (d) 56
  6. 6.What is the average of 27, 7, 27 and 19? (a) 22 (b) 21 (c) 20 (d) 19
  7. 7.What is the average of 32, 15, 24, 40, 31 and 14? (a) 25 (b) 26 (c) 28 (d) 27
  8. 8.What is the average of 57, 63, 53, 79 and 78? (a) 68 (b) 66 (c) 65 (d) 67
  9. 9.What is the average of all the whole numbers from 27 to 39? (a) 12 (b) 6 (c) 33 (d) 34
  10. 10.What is the average of all the whole numbers from 26 to 34? (a) 4 (b) 8 (c) 31 (d) 30
  11. 11.What is the average of 55, 46, 49, 42, 45 and 9? (a) 40 (b) 43 (c) 42 (d) 41
  12. 12.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 30 (b) 68 (c) 44 (d) 41
  13. 13.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 30 (c) 47 (d) 22
  14. 14.What is the average of 40, 39, 20, 21 and 20? (a) 29 (b) 35 (c) 27 (d) 28
  15. 15.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 32 (b) 71 (c) 63 (d) 87
  16. 16.What is the average of all the whole numbers from 15 to 51? (a) 36 (b) 33 (c) 18 (d) 34
  17. 17.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 92 (b) 33 (c) 44 (d) 32
  18. 18.What is the average of all the whole numbers from 42 to 58? (a) 8 (b) 16 (c) 51 (d) 50
  19. 19.What is the average of all the whole numbers from 12 to 30? (a) 18 (b) 21 (c) 9 (d) 22
  20. 20.What is the average of all the whole numbers from 49 to 59? (a) 54 (b) 10 (c) 55 (d) 5
  21. 21.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 32 (b) 88 (c) 46 (d) 74
  22. 22.What is the average of 65, 47, 41 and 67? (a) 57 (b) 55 (c) 54 (d) 56
  23. 23.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 20 (b) 37 (c) 39 (d) 55
  24. 24.What is the average of 23, 31, 49 and 45? (a) 37 (b) 36 (c) 38 (d) 39
  25. 25.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 34 (b) 48 (c) 101 (d) 33
  26. 26.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 41? (a) 24 (b) 45 (c) 41 (d) 61
  27. 27.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 25 (b) 70 (c) 95 (d) 50
  28. 28.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 45 (b) 91 (c) 43 (d) 42
  29. 29.What is the average of all the whole numbers from 39 to 49? (a) 44 (b) 5 (c) 10 (d) 45
  30. 30.What is the average of all the whole numbers from 11 to 21? (a) 5 (b) 17 (c) 10 (d) 16
  31. 31.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 26 (c) 8 (d) 20
  32. 32.What is the average of 70, 64, 81 and 101? (a) 78 (b) 79 (c) 81 (d) 80
  33. 33.What is the average of all the whole numbers from 58 to 98? (a) 40 (b) 20 (c) 78 (d) 79
  34. 34.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 8 (b) 48 (c) 95 (d) 55
  35. 35.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 36 (c) 56 (d) 24
  36. 36.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 61 (b) 53 (c) 24 (d) 32
  37. 37.What is the average of 43, 49, 35, 59, 41 and 49? (a) 46 (b) 45 (c) 48 (d) 47
  38. 38.What is the average of all the whole numbers from 5 to 23? (a) 15 (b) 18 (c) 14 (d) 9
  39. 39.What is the average of 37, 61, 43, 36 and 73? (a) 51 (b) 50 (c) 52 (d) 49
  40. 40.What is the average of all the whole numbers from 15 to 27? (a) 21 (b) 12 (c) 22 (d) 6

Answer key

  1. 36
  2. 50
  3. 31
  4. 45
  5. 56
  6. 20
  7. 26
  8. 66
  9. 33
  10. 30
  11. 41
  12. 68
  13. 47
  14. 28
  15. 87
  16. 33
  17. 32
  18. 50
  19. 21
  20. 54
  21. 74
  22. 55
  23. 55
  24. 37
  25. 33
  26. 61
  27. 70
  28. 42
  29. 44
  30. 16
  31. 26
  32. 79
  33. 78
  34. 55
  35. 56
  36. 53
  37. 46
  38. 14
  39. 50
  40. 21

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