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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 366 · 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 39, 26, 24, 23, 23 and 39? (a) 31 (b) 29 (c) 28 (d) 30
  2. 2.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 17 (b) 19 (c) 8 (d) 10
  3. 3.What is the average of 58, 45, 54 and 75? (a) 59 (b) 58 (c) 57 (d) 60
  4. 4.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 34 (b) 26 (c) 28 (d) 10
  5. 5.What is the average of 61, 55, 60 and 104? (a) 71 (b) 70 (c) 72 (d) 69
  6. 6.What is the average of all the whole numbers from 59 to 99? (a) 80 (b) 79 (c) 40 (d) 20
  7. 7.What is the average of 64, 65, 70, 72, 76 and 103? (a) 74 (b) 76 (c) 90 (d) 75
  8. 8.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 60 (b) 32 (c) 20 (d) 48
  9. 9.What is the average of 66, 76, 71, 66 and 46? (a) 64 (b) 67 (c) 65 (d) 66
  10. 10.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 59 (c) 21 (d) 41
  11. 11.What is the average of 20, 16, 22 and 66? (a) 30 (b) 32 (c) 33 (d) 31
  12. 12.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 43 (c) 87 (d) 41
  13. 13.What is the average of 12, 20, 23, 14, 32 and 43? (a) 23 (b) 26 (c) 24 (d) 25
  14. 14.What is the average of 12, 12, 32 and 40? (a) 23 (b) 24 (c) 32 (d) 25
  15. 15.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 87 (b) 41 (c) 6 (d) 7
  16. 16.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 83 (b) 58 (c) 35 (d) 53
  17. 17.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 19 (b) 35 (c) 21 (d) 37
  18. 18.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 40 (b) 25 (c) 30 (d) 20
  19. 19.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 46 (c) 51 (d) 91
  20. 20.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 56 (b) 50 (c) 42 (d) 90
  21. 21.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 18 (b) 8 (c) 11 (d) 21
  22. 22.What is the average of all the whole numbers from 28 to 60? (a) 45 (b) 44 (c) 32 (d) 16
  23. 23.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 42 (b) 70 (c) 98 (d) 63
  24. 24.What is the average of 60, 70, 71 and 35? (a) 58 (b) 59 (c) 60 (d) 61
  25. 25.What is the average of 37, 29, 42, 43, 49 and 40? (a) 39 (b) 41 (c) 48 (d) 40
  26. 26.What is the average of all the whole numbers from 56 to 82? (a) 26 (b) 69 (c) 13 (d) 70
  27. 27.What is the average of all the whole numbers from 32 to 42? (a) 37 (b) 5 (c) 38 (d) 10
  28. 28.What is the average of all the whole numbers from 51 to 63? (a) 12 (b) 57 (c) 58 (d) 6
  29. 29.What is the average of 73, 57, 64 and 70? (a) 67 (b) 65 (c) 88 (d) 66
  30. 30.What is the average of 45, 47, 54, 42 and 72? (a) 52 (b) 51 (c) 53 (d) 65
  31. 31.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 30 (b) 71 (c) 89 (d) 65
  32. 32.What is the average of 32, 11, 28, 29 and 10? (a) 23 (b) 22 (c) 24 (d) 21
  33. 33.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 78 (c) 54 (d) 30
  34. 34.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 36 (c) 42 (d) 78
  35. 35.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 27 (c) 15 (d) 16
  36. 36.What is the average of all the whole numbers from 17 to 33? (a) 8 (b) 25 (c) 26 (d) 16
  37. 37.What is the average of 33, 30, 14, 27 and 1? (a) 23 (b) 22 (c) 20 (d) 21
  38. 38.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 20 (c) 64 (d) 80
  39. 39.What is the average of 36, 39, 55, 39 and 81? (a) 49 (b) 51 (c) 52 (d) 50
  40. 40.What is the average of 64, 48, 60 and 36? (a) 52 (b) 54 (c) 51 (d) 53

Answer key

  1. 29
  2. 17
  3. 58
  4. 34
  5. 70
  6. 79
  7. 75
  8. 48
  9. 65
  10. 59
  11. 31
  12. 40
  13. 24
  14. 24
  15. 6
  16. 83
  17. 37
  18. 40
  19. 51
  20. 90
  21. 18
  22. 44
  23. 98
  24. 59
  25. 40
  26. 69
  27. 37
  28. 57
  29. 66
  30. 52
  31. 89
  32. 22
  33. 78
  34. 78
  35. 27
  36. 25
  37. 21
  38. 80
  39. 50
  40. 52

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