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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 535 · 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 44, 49, 37, 20, 29 and 25? (a) 33 (b) 34 (c) 36 (d) 35
  2. 2.What is the average of all the whole numbers from 43 to 61? (a) 52 (b) 9 (c) 18 (d) 53
  3. 3.What is the average of 69, 70, 50, 66 and 65? (a) 64 (b) 80 (c) 65 (d) 63
  4. 4.What is the average of all the whole numbers from 13 to 25? (a) 20 (b) 6 (c) 19 (d) 12
  5. 5.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 19 (c) 33 (d) 44
  6. 6.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 35 (c) 15 (d) 32
  7. 7.What is the average of all the whole numbers from 55 to 75? (a) 66 (b) 65 (c) 10 (d) 20
  8. 8.What is the average of all the whole numbers from 53 to 83? (a) 68 (b) 69 (c) 30 (d) 15
  9. 9.What is the average of all the whole numbers from 11 to 51? (a) 31 (b) 20 (c) 40 (d) 32
  10. 10.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 21 (b) 7 (c) 45 (d) 6
  11. 11.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 43 (c) 33 (d) 12
  12. 12.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 69 (c) 30 (d) 42
  13. 13.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 96 (b) 59 (c) 49 (d) 12
  14. 14.What is the average of 64, 82, 74, 58, 84 and 70? (a) 73 (b) 74 (c) 72 (d) 71
  15. 15.What is the average of 48, 49, 59 and 20? (a) 46 (b) 43 (c) 44 (d) 45
  16. 16.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 49 (b) 19 (c) 20 (d) 103
  17. 17.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 5 (b) 48 (c) 52 (d) 95
  18. 18.What is the average of all the whole numbers from 33 to 41? (a) 37 (b) 8 (c) 38 (d) 4
  19. 19.What is the average of all the whole numbers from 11 to 35? (a) 24 (b) 23 (c) 12 (d) 22
  20. 20.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 36 (c) 67 (d) 95
  21. 21.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 62 (c) 111 (d) 55
  22. 22.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 12 (c) 35 (d) 44
  23. 23.What is the average of 20, 27, 37 and 52? (a) 33 (b) 35 (c) 36 (d) 34
  24. 24.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 41 (b) 81 (c) 44 (d) 4
  25. 25.What is the average of 45, 40, 50, 35 and 20? (a) 38 (b) 37 (c) 40 (d) 39
  26. 26.What is the average of all the whole numbers from 21 to 59? (a) 41 (b) 40 (c) 19 (d) 38
  27. 27.What is the average of all the whole numbers from 43 to 73? (a) 30 (b) 59 (c) 58 (d) 15
  28. 28.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 38 (c) 35 (d) 77
  29. 29.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 32 (c) 74 (d) 39
  30. 30.What is the average of 29, 34, 51, 37, 44 and 21? (a) 38 (b) 37 (c) 35 (d) 36
  31. 31.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 24 (c) 27 (d) 25
  32. 32.What is the average of 64, 58, 78 and 92? (a) 72 (b) 73 (c) 74 (d) 75
  33. 33.What is the average of 25, 37, 15, 16 and 42? (a) 29 (b) 28 (c) 26 (d) 27
  34. 34.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 30 (b) 65 (c) 85 (d) 60
  35. 35.What is the average of all the whole numbers from 18 to 26? (a) 23 (b) 4 (c) 8 (d) 22
  36. 36.What is the average of all the whole numbers from 12 to 42? (a) 28 (b) 30 (c) 15 (d) 27
  37. 37.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 29 (c) 28 (d) 100
  38. 38.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 8 (c) 62 (d) 56
  39. 39.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 21 (b) 48 (c) 30 (d) 57
  40. 40.What is the average of 65, 63, 77 and 87? (a) 73 (b) 72 (c) 75 (d) 74

Answer key

  1. 34
  2. 52
  3. 64
  4. 19
  5. 44
  6. 44
  7. 65
  8. 68
  9. 31
  10. 6
  11. 43
  12. 69
  13. 59
  14. 72
  15. 44
  16. 19
  17. 52
  18. 37
  19. 23
  20. 95
  21. 111
  22. 44
  23. 34
  24. 44
  25. 38
  26. 40
  27. 58
  28. 34
  29. 67
  30. 36
  31. 24
  32. 73
  33. 27
  34. 85
  35. 22
  36. 27
  37. 28
  38. 62
  39. 48
  40. 73

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