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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 33 · 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 38, 53, 36 and 53? (a) 45 (b) 46 (c) 60 (d) 44
  2. 2.What is the average of 15, 24, 22 and 27? (a) 23 (b) 24 (c) 22 (d) 21
  3. 3.What is the average of 74, 73, 54 and 75? (a) 68 (b) 69 (c) 70 (d) 92
  4. 4.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
  5. 5.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 67 (c) 24 (d) 89
  6. 6.What is the average of all the whole numbers from 43 to 81? (a) 38 (b) 63 (c) 62 (d) 19
  7. 7.What is the average of 51, 56, 53, 42 and 83? (a) 56 (b) 59 (c) 58 (d) 57
  8. 8.What is the average of 31, 27, 18 and 28? (a) 27 (b) 26 (c) 28 (d) 25
  9. 9.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 79 (c) 61 (d) 20
  10. 10.What is the average of 15, 30, 22, 9 and 29? (a) 20 (b) 23 (c) 22 (d) 21
  11. 11.What is the average of 43, 38, 59, 61 and 64? (a) 53 (b) 55 (c) 54 (d) 52
  12. 12.What is the average of 65, 61, 47, 45 and 52? (a) 53 (b) 55 (c) 54 (d) 56
  13. 13.What is the average of 38, 23, 38 and 21? (a) 31 (b) 29 (c) 40 (d) 30
  14. 14.What is the average of all the whole numbers from 22 to 34? (a) 28 (b) 12 (c) 6 (d) 29
  15. 15.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 30 (d) 61
  16. 16.What is the average of 50, 47, 44 and 11? (a) 40 (b) 38 (c) 39 (d) 37
  17. 17.What is the average of all the whole numbers from 8 to 20? (a) 6 (b) 15 (c) 12 (d) 14
  18. 18.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 26 (b) 22 (c) 43 (d) 5
  19. 19.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 18 (c) 45 (d) 17
  20. 20.What is the average of 63, 81, 90 and 66? (a) 76 (b) 100 (c) 74 (d) 75
  21. 21.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 30 (c) 82 (d) 55
  22. 22.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 45 (b) 30 (c) 94 (d) 29
  23. 23.What is the average of 20, 38, 47, 47 and 18? (a) 34 (b) 36 (c) 35 (d) 33
  24. 24.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 79 (b) 34 (c) 33 (d) 39
  25. 25.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 20 (b) 91 (c) 48 (d) 63
  26. 26.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 98 (c) 39 (d) 38
  27. 27.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 24 (b) 28 (c) 31 (d) 49
  28. 28.What is the average of all the whole numbers from 40 to 60? (a) 51 (b) 50 (c) 10 (d) 20
  29. 29.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 1 (b) 21 (c) 46 (d) 2
  30. 30.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) 42 (b) 4 (c) 77 (d) 39
  31. 31.What is the average of all the whole numbers from 21 to 33? (a) 27 (b) 28 (c) 12 (d) 6
  32. 32.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 42 (c) 70 (d) 98
  33. 33.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 15 (c) 60 (d) 48
  34. 34.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 20 (c) 59 (d) 47
  35. 35.What is the average of 19, 37, 45, 24 and 35? (a) 40 (b) 33 (c) 32 (d) 31
  36. 36.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 65 (c) 29 (d) 28
  37. 37.What is the average of 46, 37, 24 and 17? (a) 30 (b) 33 (c) 32 (d) 31
  38. 38.What is the average of all the whole numbers from 7 to 37? (a) 15 (b) 22 (c) 23 (d) 30
  39. 39.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 20 (b) 47 (c) 62 (d) 52
  40. 40.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 19 (c) 42 (d) 7

Answer key

  1. 45
  2. 22
  3. 69
  4. 53
  5. 67
  6. 62
  7. 57
  8. 26
  9. 79
  10. 21
  11. 53
  12. 54
  13. 30
  14. 28
  15. 61
  16. 38
  17. 14
  18. 26
  19. 17
  20. 75
  21. 82
  22. 29
  23. 34
  24. 33
  25. 63
  26. 38
  27. 49
  28. 50
  29. 1
  30. 42
  31. 27
  32. 98
  33. 60
  34. 47
  35. 32
  36. 28
  37. 31
  38. 22
  39. 62
  40. 7

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