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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 406 · 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 39 to 61? (a) 11 (b) 50 (c) 22 (d) 51
  2. 2.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 18 (c) 75 (d) 59
  3. 3.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 24 (b) 37 (c) 6 (d) 19
  4. 4.What is the average of 41, 27, 25 and 47? (a) 37 (b) 35 (c) 36 (d) 34
  5. 5.What is the average of 69, 55, 49 and 43? (a) 53 (b) 55 (c) 54 (d) 72
  6. 6.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 39 (b) 99 (c) 48 (d) 40
  7. 7.What is the average of all the whole numbers from 27 to 65? (a) 46 (b) 47 (c) 38 (d) 19
  8. 8.What is the average of 66, 73, 54, 79 and 68? (a) 67 (b) 69 (c) 68 (d) 85
  9. 9.What is the average of 43, 18, 27, 40 and 17? (a) 28 (b) 30 (c) 29 (d) 31
  10. 10.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 27 (b) 39 (c) 28 (d) 81
  11. 11.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 39 (c) 25 (d) 6
  12. 12.What is the average of all the whole numbers from 43 to 61? (a) 18 (b) 52 (c) 53 (d) 9
  13. 13.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 60 (c) 37 (d) 8
  14. 14.What is the average of all the whole numbers from 13 to 43? (a) 28 (b) 30 (c) 29 (d) 15
  15. 15.What is the average of all the whole numbers from 5 to 41? (a) 23 (b) 24 (c) 36 (d) 18
  16. 16.What is the average of all the whole numbers from 20 to 54? (a) 37 (b) 34 (c) 38 (d) 17
  17. 17.What is the average of 52, 56, 57 and 83? (a) 62 (b) 64 (c) 61 (d) 63
  18. 18.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 28 (b) 27 (c) 39 (d) 80
  19. 19.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 24? (a) 24 (b) 16 (c) 28 (d) 36
  20. 20.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 49 (b) 96 (c) 16 (d) 63
  21. 21.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 39 (b) 77 (c) 42 (d) 4
  22. 22.What is the average of 60, 63, 70, 59, 71 and 91? (a) 71 (b) 68 (c) 69 (d) 70
  23. 23.What is the average of all the whole numbers from 42 to 70? (a) 28 (b) 14 (c) 56 (d) 57
  24. 24.What is the average of 67, 55, 65 and 33? (a) 56 (b) 55 (c) 54 (d) 57
  25. 25.What is the average of 64, 45, 58 and 33? (a) 52 (b) 49 (c) 51 (d) 50
  26. 26.What is the average of 33, 12, 23, 13 and 29? (a) 24 (b) 23 (c) 22 (d) 21
  27. 27.What is the average of all the whole numbers from 17 to 45? (a) 28 (b) 32 (c) 31 (d) 14
  28. 28.What is the average of 57, 57, 37, 30, 54 and 29? (a) 46 (b) 45 (c) 44 (d) 43
  29. 29.What is the average of 64, 65, 79, 54 and 73? (a) 66 (b) 68 (c) 69 (d) 67
  30. 30.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 46 (c) 15 (d) 55
  31. 31.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 67 (b) 32 (c) 59 (d) 40
  32. 32.What is the average of 16, 16, 19 and 29? (a) 22 (b) 20 (c) 19 (d) 21
  33. 33.What is the average of 32, 19, 15 and 18? (a) 21 (b) 22 (c) 20 (d) 28
  34. 34.What is the average of all the whole numbers from 22 to 46? (a) 24 (b) 12 (c) 34 (d) 35
  35. 35.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 11 (b) 12 (c) 21 (d) 44
  36. 36.What is the average of all the whole numbers from 14 to 44? (a) 29 (b) 15 (c) 28 (d) 30
  37. 37.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 62 (b) 24 (c) 42 (d) 80
  38. 38.What is the average of all the whole numbers from 58 to 84? (a) 13 (b) 72 (c) 71 (d) 26
  39. 39.What is the average of 64, 75, 86, 63 and 67? (a) 73 (b) 71 (c) 72 (d) 70
  40. 40.What is the average of all the whole numbers from 6 to 42? (a) 36 (b) 25 (c) 24 (d) 18

Answer key

  1. 50
  2. 75
  3. 24
  4. 35
  5. 54
  6. 39
  7. 46
  8. 68
  9. 29
  10. 27
  11. 25
  12. 52
  13. 37
  14. 28
  15. 23
  16. 37
  17. 62
  18. 27
  19. 36
  20. 63
  21. 42
  22. 69
  23. 56
  24. 55
  25. 50
  26. 22
  27. 31
  28. 44
  29. 67
  30. 55
  31. 67
  32. 20
  33. 21
  34. 34
  35. 11
  36. 29
  37. 62
  38. 71
  39. 71
  40. 24

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