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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 196 · 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 41, 33, 33 and 17? (a) 32 (b) 31 (c) 33 (d) 30
  2. 2.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 36 (b) 32 (c) 68 (d) 64
  3. 3.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 48 (b) 69 (c) 33 (d) 27
  4. 4.What is the average of 34, 24, 28, 24, 8 and 14? (a) 22 (b) 24 (c) 21 (d) 23
  5. 5.What is the average of 69, 74, 85, 67, 66 and 95? (a) 78 (b) 77 (c) 75 (d) 76
  6. 6.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 52 (c) 40 (d) 76
  7. 7.What is the average of all the whole numbers from 19 to 59? (a) 38 (b) 20 (c) 40 (d) 39
  8. 8.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 32 (b) 24 (c) 67 (d) 23
  9. 9.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 64 (b) 20 (c) 92 (d) 48
  10. 10.What is the average of all the whole numbers from 10 to 34? (a) 22 (b) 23 (c) 12 (d) 24
  11. 11.What is the average of all the whole numbers from 57 to 83? (a) 13 (b) 26 (c) 71 (d) 70
  12. 12.What is the average of 64, 52, 55 and 97? (a) 69 (b) 68 (c) 67 (d) 66
  13. 13.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 41 (c) 54 (d) 16
  14. 14.What is the average of 66, 60, 75, 62 and 92? (a) 72 (b) 70 (c) 73 (d) 71
  15. 15.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 63 (b) 54 (c) 57 (d) 12
  16. 16.What is the average of 42, 35, 42, 37 and 29? (a) 38 (b) 36 (c) 39 (d) 37
  17. 17.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 59 (c) 35 (d) 32
  18. 18.What is the average of all the whole numbers from 23 to 39? (a) 31 (b) 32 (c) 16 (d) 8
  19. 19.What is the average of 69, 75, 83 and 49? (a) 69 (b) 70 (c) 92 (d) 68
  20. 20.What is the average of 71, 68, 81, 84, 80 and 66? (a) 76 (b) 90 (c) 75 (d) 74
  21. 21.What is the average of 49, 31, 34, 34 and 37? (a) 38 (b) 39 (c) 36 (d) 37
  22. 22.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 37 (c) 38 (d) 41
  23. 23.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 44 (b) 20 (c) 5 (d) 4
  24. 24.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 80 (c) 35 (d) 107
  25. 25.What is the average of all the whole numbers from 13 to 39? (a) 13 (b) 27 (c) 25 (d) 26
  26. 26.What is the average of all the whole numbers from 50 to 70? (a) 20 (b) 60 (c) 61 (d) 10
  27. 27.What is the average of all the whole numbers from 44 to 70? (a) 26 (b) 13 (c) 57 (d) 58
  28. 28.What is the average of all the whole numbers from 15 to 41? (a) 28 (b) 13 (c) 29 (d) 26
  29. 29.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 49 (c) 20 (d) 65
  30. 30.What is the average of 63, 76, 83, 79, 63 and 86? (a) 90 (b) 74 (c) 75 (d) 76
  31. 31.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 19 (b) 51 (c) 20 (d) 25
  32. 32.What is the average of all the whole numbers from 47 to 71? (a) 59 (b) 60 (c) 12 (d) 24
  33. 33.What is the average of all the whole numbers from 17 to 57? (a) 37 (b) 40 (c) 20 (d) 38
  34. 34.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 27 (b) 52 (c) 31 (d) 28
  35. 35.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 19 (c) 20 (d) 10
  36. 36.What is the average of all the whole numbers from 25 to 65? (a) 45 (b) 20 (c) 46 (d) 40
  37. 37.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 64 (b) 89 (c) 46 (d) 21
  38. 38.What is the average of all the whole numbers from 34 to 50? (a) 42 (b) 43 (c) 16 (d) 8
  39. 39.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 32 (b) 44 (c) 91 (d) 33
  40. 40.What is the average of 77, 74, 78, 65 and 106? (a) 80 (b) 79 (c) 81 (d) 100

Answer key

  1. 31
  2. 64
  3. 69
  4. 22
  5. 76
  6. 76
  7. 39
  8. 23
  9. 64
  10. 22
  11. 70
  12. 67
  13. 41
  14. 71
  15. 63
  16. 37
  17. 59
  18. 31
  19. 69
  20. 75
  21. 37
  22. 37
  23. 4
  24. 107
  25. 26
  26. 60
  27. 57
  28. 28
  29. 65
  30. 75
  31. 19
  32. 59
  33. 37
  34. 52
  35. 19
  36. 45
  37. 64
  38. 42
  39. 32
  40. 80

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