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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 510 · 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 8 to 14? (a) 6 (b) 3 (c) 11 (d) 12
  2. 2.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) 36 (b) 41 (c) 40 (d) 71
  3. 3.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 73 (b) 40 (c) 37 (d) 4
  4. 4.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 4 (c) 18 (d) 38
  5. 5.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 89 (b) 47 (c) 40 (d) 56
  6. 6.What is the average of all the whole numbers from 44 to 60? (a) 8 (b) 16 (c) 52 (d) 53
  7. 7.What is the average of 34, 35, 17, 18, 16 and 18? (a) 25 (b) 24 (c) 22 (d) 23
  8. 8.What is the average of all the whole numbers from 38 to 50? (a) 6 (b) 44 (c) 12 (d) 45
  9. 9.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 32 (c) 10 (d) 26
  10. 10.What is the average of all the whole numbers from 39 to 57? (a) 18 (b) 49 (c) 9 (d) 48
  11. 11.What is the average of 44, 60, 44, 68, 61 and 71? (a) 60 (b) 59 (c) 57 (d) 58
  12. 12.A batter has an average of 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 54 (b) 49 (c) 55 (d) 97
  13. 13.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 28 (c) 29 (d) 46
  14. 14.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 26 (c) 30 (d) 25
  15. 15.What is the average of 10, 30, 14 and 38? (a) 23 (b) 24 (c) 22 (d) 25
  16. 16.What is the average of all the whole numbers from 37 to 67? (a) 53 (b) 52 (c) 15 (d) 30
  17. 17.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 35 (c) 59 (d) 34
  18. 18.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 21 (c) 36 (d) 18
  19. 19.What is the average of all the whole numbers from 60 to 84? (a) 24 (b) 12 (c) 73 (d) 72
  20. 20.What is the average of all the whole numbers from 22 to 54? (a) 16 (b) 39 (c) 38 (d) 32
  21. 21.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 62 (c) 40 (d) 94
  22. 22.What is the average of all the whole numbers from 26 to 44? (a) 18 (b) 9 (c) 35 (d) 36
  23. 23.What is the average of 83, 62, 55, 54, 70 and 90? (a) 71 (b) 69 (c) 70 (d) 68
  24. 24.What is the average of 90, 78, 71 and 81? (a) 80 (b) 82 (c) 79 (d) 81
  25. 25.What is the average of 46, 36, 25, 27, 46 and 48? (a) 40 (b) 37 (c) 38 (d) 39
  26. 26.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
  27. 27.What is the average of 71, 62, 67, 63 and 22? (a) 57 (b) 58 (c) 59 (d) 56
  28. 28.What is the average of 37, 31, 44, 37 and 71? (a) 55 (b) 43 (c) 45 (d) 44
  29. 29.What is the average of all the whole numbers from 30 to 70? (a) 51 (b) 20 (c) 50 (d) 40
  30. 30.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 75 (c) 15 (d) 63
  31. 31.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 61 (c) 110 (d) 63
  32. 32.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 96 (b) 48 (c) 56 (d) 97
  33. 33.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 81 (b) 40 (c) 35 (d) 34
  34. 34.What is the average of all the whole numbers from 19 to 59? (a) 38 (b) 40 (c) 39 (d) 20
  35. 35.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 85 (b) 27 (c) 61 (d) 64
  36. 36.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 24 (c) 48 (d) 66
  37. 37.What is the average of all the whole numbers from 33 to 41? (a) 4 (b) 37 (c) 38 (d) 8
  38. 38.What is the average of 32, 17, 33, 43 and 25? (a) 31 (b) 30 (c) 32 (d) 29
  39. 39.What is the average of 52, 44, 62, 45 and 62? (a) 52 (b) 54 (c) 55 (d) 53
  40. 40.What is the average of 42, 38, 41, 48 and 51? (a) 45 (b) 43 (c) 55 (d) 44

Answer key

  1. 11
  2. 71
  3. 40
  4. 4
  5. 89
  6. 52
  7. 23
  8. 44
  9. 32
  10. 48
  11. 58
  12. 97
  13. 28
  14. 25
  15. 23
  16. 52
  17. 59
  18. 36
  19. 72
  20. 38
  21. 94
  22. 35
  23. 69
  24. 80
  25. 38
  26. 70
  27. 57
  28. 44
  29. 50
  30. 75
  31. 110
  32. 96
  33. 34
  34. 39
  35. 85
  36. 66
  37. 37
  38. 30
  39. 53
  40. 44

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