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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 36 · 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 71, 42, 55 and 60? (a) 56 (b) 58 (c) 76 (d) 57
  2. 2.What is the average of 32, 38, 45, 35, 52 and 56? (a) 42 (b) 43 (c) 45 (d) 44
  3. 3.What is the average of 38, 28, 27, 18 and 54? (a) 34 (b) 33 (c) 32 (d) 35
  4. 4.What is the average of 71, 75, 91, 65 and 83? (a) 76 (b) 79 (c) 77 (d) 78
  5. 5.What is the average of 23, 38, 22 and 33? (a) 29 (b) 30 (c) 31 (d) 28
  6. 6.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 49 (b) 40 (c) 39 (d) 100
  7. 7.What is the average of 57, 83, 85, 79 and 51? (a) 72 (b) 71 (c) 73 (d) 70
  8. 8.What is the average of all the whole numbers from 56 to 84? (a) 14 (b) 70 (c) 28 (d) 71
  9. 9.What is the average of all the whole numbers from 19 to 29? (a) 5 (b) 10 (c) 25 (d) 24
  10. 10.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 38? (a) 38 (b) 62 (c) 28 (d) 42
  11. 11.What is the average of 61, 50, 35, 48, 55 and 27? (a) 47 (b) 48 (c) 46 (d) 45
  12. 12.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 60 (b) 62 (c) 68 (d) 116
  13. 13.What is the average of 50, 48, 33 and 25? (a) 38 (b) 40 (c) 39 (d) 52
  14. 14.What is the average of all the whole numbers from 58 to 66? (a) 4 (b) 8 (c) 63 (d) 62
  15. 15.What is the average of 30, 14, 30, 26 and 40? (a) 29 (b) 35 (c) 27 (d) 28
  16. 16.What is the average of 39, 29, 48, 50, 52 and 22? (a) 48 (b) 41 (c) 40 (d) 39
  17. 17.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 98 (b) 14 (c) 50 (d) 62
  18. 18.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 24 (b) 80 (c) 62 (d) 59
  19. 19.What is the average of all the whole numbers from 32 to 48? (a) 40 (b) 41 (c) 8 (d) 16
  20. 20.What is the average of 57, 69, 57 and 97? (a) 70 (b) 69 (c) 72 (d) 71
  21. 21.What is the average of 82, 66, 79, 81 and 92? (a) 79 (b) 80 (c) 81 (d) 100
  22. 22.What is the average of 20, 10, 30 and 24? (a) 20 (b) 28 (c) 22 (d) 21
  23. 23.What is the average of 20, 38, 30, 30 and 37? (a) 30 (b) 32 (c) 31 (d) 33
  24. 24.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 20 (b) 105 (c) 21 (d) 50
  25. 25.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 21 (c) 48 (d) 30
  26. 26.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 34? (a) 8 (b) 40 (c) 34 (d) 36
  27. 27.What is the average of all the whole numbers from 53 to 81? (a) 28 (b) 67 (c) 14 (d) 68
  28. 28.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 28 (c) 57 (d) 25
  29. 29.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 75 (c) 91 (d) 32
  30. 30.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 56 (c) 88 (d) 39
  31. 31.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 11 (c) 27 (d) 22
  32. 32.What is the average of 66, 68, 69, 80 and 97? (a) 75 (b) 77 (c) 76 (d) 95
  33. 33.What is the average of 47, 48, 52 and 93? (a) 80 (b) 61 (c) 59 (d) 60
  34. 34.What is the average of all the whole numbers from 18 to 56? (a) 37 (b) 36 (c) 19 (d) 38
  35. 35.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) 91 (b) 46 (c) 6 (d) 51
  36. 36.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 23 (b) 4 (c) 5 (d) 11
  37. 37.What is the average of 52, 63, 41, 44 and 70? (a) 56 (b) 54 (c) 53 (d) 55
  38. 38.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 62 (b) 20 (c) 88 (d) 46
  39. 39.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 88 (c) 68 (d) 28
  40. 40.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 52 (c) 30 (d) 76

Answer key

  1. 57
  2. 43
  3. 33
  4. 77
  5. 29
  6. 39
  7. 71
  8. 70
  9. 24
  10. 62
  11. 46
  12. 116
  13. 39
  14. 62
  15. 28
  16. 40
  17. 62
  18. 80
  19. 40
  20. 70
  21. 80
  22. 21
  23. 31
  24. 20
  25. 48
  26. 40
  27. 67
  28. 25
  29. 91
  30. 88
  31. 27
  32. 76
  33. 60
  34. 37
  35. 51
  36. 4
  37. 54
  38. 62
  39. 88
  40. 76

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