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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 574 · 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 47 to 85? (a) 67 (b) 38 (c) 66 (d) 19
  2. 2.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 24 (b) 12 (c) 14 (d) 26
  3. 3.What is the average of all the whole numbers from 13 to 27? (a) 20 (b) 14 (c) 21 (d) 7
  4. 4.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 28 (b) 37 (c) 58 (d) 44
  5. 5.What is the average of 50, 51, 32 and 51? (a) 48 (b) 47 (c) 46 (d) 45
  6. 6.What is the average of 70, 74, 58 and 62? (a) 88 (b) 65 (c) 66 (d) 67
  7. 7.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 49 (b) 105 (c) 72 (d) 41
  8. 8.What is the average of all the whole numbers from 6 to 16? (a) 10 (b) 12 (c) 11 (d) 5
  9. 9.What is the average of 54, 37, 49 and 16? (a) 40 (b) 39 (c) 52 (d) 38
  10. 10.What is the average of all the whole numbers from 15 to 21? (a) 18 (b) 3 (c) 6 (d) 19
  11. 11.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 33 (b) 14 (c) 21 (d) 40
  12. 12.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 60 (b) 92 (c) 44 (d) 38
  13. 13.What is the average of all the whole numbers from 31 to 71? (a) 20 (b) 40 (c) 52 (d) 51
  14. 14.What is the average of 94, 74, 65 and 83? (a) 80 (b) 81 (c) 79 (d) 78
  15. 15.What is the average of 41, 30, 21, 39, 25 and 42? (a) 32 (b) 35 (c) 34 (d) 33
  16. 16.What is the average of 19, 5, 17 and 39? (a) 19 (b) 21 (c) 22 (d) 20
  17. 17.What is the average of 58, 56, 71 and 47? (a) 58 (b) 57 (c) 60 (d) 59
  18. 18.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 45 (b) 17 (c) 16 (d) 22
  19. 19.What is the average of all the whole numbers from 5 to 31? (a) 13 (b) 19 (c) 26 (d) 18
  20. 20.What is the average of 67, 64, 59 and 30? (a) 55 (b) 54 (c) 56 (d) 57
  21. 21.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 44? (a) 44 (b) 53 (c) 47 (d) 12
  22. 22.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 22? (a) 24 (b) 38 (c) 18 (d) 22
  23. 23.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 32? (a) 32 (b) 68 (c) 40 (d) 36
  24. 24.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 72 (c) 42 (d) 35
  25. 25.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 53 (c) 12 (d) 45
  26. 26.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 69 (c) 13 (d) 12
  27. 27.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 5 (b) 4 (c) 43 (d) 19
  28. 28.What is the average of 28, 47, 26 and 51? (a) 39 (b) 40 (c) 37 (d) 38
  29. 29.What is the average of all the whole numbers from 16 to 48? (a) 33 (b) 16 (c) 32 (d) 31
  30. 30.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 52 (c) 40 (d) 16
  31. 31.What is the average of all the whole numbers from 43 to 75? (a) 59 (b) 16 (c) 60 (d) 32
  32. 32.What is the average of 49, 56, 67, 55 and 53? (a) 55 (b) 57 (c) 56 (d) 70
  33. 33.What is the average of 62, 68, 58, 54, 52 and 90? (a) 63 (b) 66 (c) 65 (d) 64
  34. 34.What is the average of 49, 49, 41, 49 and 7? (a) 38 (b) 40 (c) 39 (d) 41
  35. 35.What is the average of 6, 27, 29, 12, 12 and 34? (a) 19 (b) 21 (c) 20 (d) 24
  36. 36.What is the average of 61, 59, 44, 64, 72 and 48? (a) 58 (b) 59 (c) 57 (d) 60
  37. 37.What is the average of 50, 41, 51, 37 and 41? (a) 44 (b) 45 (c) 55 (d) 43
  38. 38.What is the average of all the whole numbers from 6 to 26? (a) 10 (b) 20 (c) 17 (d) 16
  39. 39.What is the average of all the whole numbers from 59 to 71? (a) 12 (b) 66 (c) 65 (d) 6
  40. 40.What is the average of 41, 24, 33, 23 and 19? (a) 27 (b) 35 (c) 28 (d) 29

Answer key

  1. 66
  2. 24
  3. 20
  4. 58
  5. 46
  6. 66
  7. 105
  8. 11
  9. 39
  10. 18
  11. 33
  12. 92
  13. 51
  14. 79
  15. 33
  16. 20
  17. 58
  18. 16
  19. 18
  20. 55
  21. 53
  22. 38
  23. 68
  24. 72
  25. 53
  26. 12
  27. 4
  28. 38
  29. 32
  30. 52
  31. 59
  32. 56
  33. 64
  34. 39
  35. 20
  36. 58
  37. 44
  38. 16
  39. 65
  40. 28

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