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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 773 · 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.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 23 (c) 15 (d) 10
  2. 2.What is the average of 37, 14, 24, 9, 21 and 33? (a) 25 (b) 23 (c) 24 (d) 22
  3. 3.What is the average of all the whole numbers from 55 to 81? (a) 69 (b) 26 (c) 68 (d) 13
  4. 4.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 12 (c) 46 (d) 13
  5. 5.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 40 (c) 34 (d) 22
  6. 6.What is the average of 35, 59, 43 and 47? (a) 48 (b) 47 (c) 46 (d) 45
  7. 7.What is the average of 30, 40, 44, 26 and 35? (a) 34 (b) 36 (c) 37 (d) 35
  8. 8.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 64 (b) 32 (c) 65 (d) 36
  9. 9.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 89 (b) 34 (c) 43 (d) 35
  10. 10.What is the average of 28, 56, 50, 30, 51 and 37? (a) 44 (b) 43 (c) 42 (d) 41
  11. 11.What is the average of 71, 59, 65, 65 and 100? (a) 71 (b) 73 (c) 72 (d) 90
  12. 12.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 12 (b) 41 (c) 50 (d) 44
  13. 13.What is the average of all the whole numbers from 17 to 27? (a) 5 (b) 10 (c) 23 (d) 22
  14. 14.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 27 (b) 87 (c) 26 (d) 41
  15. 15.What is the average of 47, 42, 43, 47 and 16? (a) 39 (b) 38 (c) 40 (d) 41
  16. 16.What is the average of all the whole numbers from 15 to 35? (a) 20 (b) 10 (c) 25 (d) 26
  17. 17.What is the average of 59, 53, 65, 74 and 74? (a) 66 (b) 67 (c) 65 (d) 64
  18. 18.What is the average of 47, 42, 52, 48, 62 and 91? (a) 59 (b) 58 (c) 56 (d) 57
  19. 19.What is the average of all the whole numbers from 19 to 31? (a) 26 (b) 6 (c) 25 (d) 12
  20. 20.What is the average of all the whole numbers from 5 to 17? (a) 12 (b) 6 (c) 10 (d) 11
  21. 21.What is the average of 46, 38, 43, 34 and 19? (a) 45 (b) 35 (c) 37 (d) 36
  22. 22.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 30 (c) 60 (d) 40
  23. 23.What is the average of all the whole numbers from 52 to 74? (a) 64 (b) 22 (c) 63 (d) 11
  24. 24.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 12 (b) 43 (c) 46 (d) 52
  25. 25.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 32 (c) 65 (d) 37
  26. 26.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 19 (c) 52 (d) 20
  27. 27.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 31 (b) 4 (c) 28 (d) 55
  28. 28.What is the average of all the whole numbers from 56 to 86? (a) 71 (b) 15 (c) 30 (d) 72
  29. 29.What is the average of 55, 39, 64, 50 and 57? (a) 54 (b) 53 (c) 52 (d) 55
  30. 30.What is the average of all the whole numbers from 59 to 75? (a) 68 (b) 16 (c) 8 (d) 67
  31. 31.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 45 (b) 20 (c) 30 (d) 35
  32. 32.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 63 (c) 72 (d) 121
  33. 33.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) 48 (c) 40 (d) 99
  34. 34.What is the average of all the whole numbers from 18 to 38? (a) 20 (b) 28 (c) 10 (d) 29
  35. 35.What is the average of 20, 45, 27, 46 and 27? (a) 32 (b) 35 (c) 34 (d) 33
  36. 36.What is the average of all the whole numbers from 14 to 40? (a) 26 (b) 27 (c) 13 (d) 28
  37. 37.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 80 (b) 46 (c) 54 (d) 118
  38. 38.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 92 (b) 45 (c) 36 (d) 35
  39. 39.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 93 (b) 43 (c) 46 (d) 44
  40. 40.What is the average of all the whole numbers from 9 to 49? (a) 40 (b) 20 (c) 29 (d) 30

Answer key

  1. 23
  2. 23
  3. 68
  4. 12
  5. 34
  6. 46
  7. 35
  8. 64
  9. 34
  10. 42
  11. 72
  12. 50
  13. 22
  14. 26
  15. 39
  16. 25
  17. 65
  18. 57
  19. 25
  20. 11
  21. 36
  22. 60
  23. 63
  24. 52
  25. 65
  26. 19
  27. 31
  28. 71
  29. 53
  30. 67
  31. 45
  32. 121
  33. 39
  34. 28
  35. 33
  36. 27
  37. 118
  38. 35
  39. 43
  40. 29

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