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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 548 · 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.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 33 (d) 53
  2. 2.What is the average of 84, 62, 67 and 63? (a) 69 (b) 70 (c) 68 (d) 92
  3. 3.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 20 (b) 71 (c) 19 (d) 34
  4. 4.What is the average of 29, 32, 29, 42, 25 and 83? (a) 39 (b) 41 (c) 48 (d) 40
  5. 5.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 4 (b) 99 (c) 50 (d) 53
  6. 6.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 39 (b) 17 (c) 16 (d) 19
  7. 7.What is the average of 44, 28, 16 and 28? (a) 29 (b) 28 (c) 30 (d) 31
  8. 8.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 119 (c) 120 (d) 63
  9. 9.What is the average of all the whole numbers from 12 to 30? (a) 22 (b) 9 (c) 21 (d) 18
  10. 10.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 47 (b) 46 (c) 26 (d) 25
  11. 11.What is the average of all the whole numbers from 22 to 30? (a) 26 (b) 8 (c) 4 (d) 27
  12. 12.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 60 (b) 85 (c) 37 (d) 31
  13. 13.What is the average of 37, 36, 39 and 20? (a) 32 (b) 44 (c) 33 (d) 34
  14. 14.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 20 (b) 52 (c) 68 (d) 36
  15. 15.What is the average of all the whole numbers from 41 to 65? (a) 12 (b) 24 (c) 54 (d) 53
  16. 16.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 93 (b) 53 (c) 48 (d) 50
  17. 17.What is the average of 40, 35, 29, 52 and 59? (a) 42 (b) 44 (c) 45 (d) 43
  18. 18.What is the average of all the whole numbers from 38 to 44? (a) 42 (b) 41 (c) 6 (d) 3
  19. 19.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 68 (b) 36 (c) 28 (d) 48
  20. 20.What is the average of all the whole numbers from 35 to 67? (a) 51 (b) 16 (c) 32 (d) 52
  21. 21.What is the average of 21, 41, 19 and 47? (a) 33 (b) 34 (c) 32 (d) 31
  22. 22.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 67? (a) 49 (b) 74 (c) 109 (d) 67
  23. 23.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) 44 (b) 21 (c) 12 (d) 11
  24. 24.What is the average of all the whole numbers from 44 to 52? (a) 49 (b) 4 (c) 48 (d) 8
  25. 25.What is the average of 24, 21, 46 and 53? (a) 37 (b) 35 (c) 36 (d) 48
  26. 26.What is the average of all the whole numbers from 39 to 61? (a) 22 (b) 11 (c) 51 (d) 50
  27. 27.What is the average of all the whole numbers from 29 to 47? (a) 9 (b) 18 (c) 39 (d) 38
  28. 28.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) 29 (b) 100 (c) 48 (d) 28
  29. 29.What is the average of all the whole numbers from 42 to 80? (a) 38 (b) 62 (c) 19 (d) 61
  30. 30.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 12 (b) 48 (c) 42 (d) 39
  31. 31.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 46 (b) 66 (c) 41 (d) 30
  32. 32.What is the average of 71, 78, 84 and 43? (a) 69 (b) 70 (c) 92 (d) 68
  33. 33.What is the average of 21, 22, 27, 21 and 64? (a) 31 (b) 32 (c) 30 (d) 33
  34. 34.What is the average of 61, 64, 75 and 92? (a) 72 (b) 75 (c) 74 (d) 73
  35. 35.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 49 (b) 89 (c) 41 (d) 56
  36. 36.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 22 (c) 23 (d) 12
  37. 37.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 34 (c) 40 (d) 64
  38. 38.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 37 (b) 36 (c) 44 (d) 90
  39. 39.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 24 (b) 25 (c) 93 (d) 44
  40. 40.What is the average of all the whole numbers from 37 to 57? (a) 20 (b) 10 (c) 48 (d) 47

Answer key

  1. 53
  2. 69
  3. 19
  4. 40
  5. 53
  6. 16
  7. 29
  8. 119
  9. 21
  10. 46
  11. 26
  12. 85
  13. 33
  14. 52
  15. 53
  16. 93
  17. 43
  18. 41
  19. 68
  20. 51
  21. 32
  22. 109
  23. 11
  24. 48
  25. 36
  26. 50
  27. 38
  28. 28
  29. 61
  30. 48
  31. 66
  32. 69
  33. 31
  34. 73
  35. 89
  36. 22
  37. 64
  38. 36
  39. 24
  40. 47

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