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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 914 · 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 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 86 (b) 41 (c) 21 (d) 22
  2. 2.What is the average of 44, 42, 28 and 50? (a) 42 (b) 41 (c) 40 (d) 43
  3. 3.What is the average of all the whole numbers from 25 to 43? (a) 18 (b) 34 (c) 9 (d) 35
  4. 4.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 42 (c) 31 (d) 87
  5. 5.What is the average of all the whole numbers from 8 to 18? (a) 10 (b) 5 (c) 13 (d) 14
  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) 40 (b) 48 (c) 99 (d) 39
  7. 7.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 16 (b) 24 (c) 44 (d) 36
  8. 8.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 109 (b) 67 (c) 60 (d) 56
  9. 9.What is the average of all the whole numbers from 18 to 26? (a) 23 (b) 4 (c) 8 (d) 22
  10. 10.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 28 (b) 33 (c) 29 (d) 53
  11. 11.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 24 (b) 28 (c) 34 (d) 46
  12. 12.What is the average of all the whole numbers from 30 to 38? (a) 4 (b) 8 (c) 35 (d) 34
  13. 13.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) 34 (b) 36 (c) 64 (d) 40
  14. 14.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 71 (c) 36 (d) 49
  15. 15.What is the average of 10, 11, 23, 20 and 56? (a) 30 (b) 23 (c) 24 (d) 25
  16. 16.What is the average of 80, 61, 65, 66 and 93? (a) 72 (b) 73 (c) 74 (d) 75
  17. 17.What is the average of all the whole numbers from 10 to 44? (a) 28 (b) 34 (c) 27 (d) 17
  18. 18.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 78 (b) 66 (c) 62 (d) 20
  19. 19.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 31 (c) 58 (d) 32
  20. 20.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 14 (c) 28 (d) 38
  21. 21.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 25 (c) 26 (d) 86
  22. 22.What is the average of 61, 45, 60 and 70? (a) 59 (b) 61 (c) 58 (d) 60
  23. 23.What is the average of all the whole numbers from 36 to 42? (a) 3 (b) 6 (c) 40 (d) 39
  24. 24.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 49 (b) 67 (c) 60 (d) 102
  25. 25.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 75 (c) 45 (d) 8
  26. 26.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 16 (c) 64 (d) 46
  27. 27.What is the average of all the whole numbers from 43 to 51? (a) 48 (b) 4 (c) 8 (d) 47
  28. 28.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 64 (b) 44 (c) 30 (d) 39
  29. 29.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 62? (a) 62 (b) 30 (c) 65 (d) 89
  30. 30.What is the average of 25, 40, 40 and 15? (a) 30 (b) 29 (c) 40 (d) 31
  31. 31.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 43 (b) 97 (c) 48 (d) 42
  32. 32.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) 6 (b) 39 (c) 20 (d) 25
  33. 33.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 16 (b) 17 (c) 97 (d) 46
  34. 34.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 64 (b) 60 (c) 108 (d) 52
  35. 35.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 44 (b) 67 (c) 35 (d) 12
  36. 36.What is the average of 19, 37, 32 and 16? (a) 25 (b) 26 (c) 28 (d) 27
  37. 37.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 14 (b) 21 (c) 15 (d) 43
  38. 38.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 30 (c) 27 (d) 61
  39. 39.What is the average of 71, 87, 79 and 63? (a) 76 (b) 75 (c) 74 (d) 100
  40. 40.What is the average of 39, 42, 58 and 33? (a) 45 (b) 42 (c) 43 (d) 44

Answer key

  1. 21
  2. 41
  3. 34
  4. 30
  5. 13
  6. 39
  7. 36
  8. 109
  9. 22
  10. 53
  11. 46
  12. 34
  13. 64
  14. 71
  15. 24
  16. 73
  17. 27
  18. 78
  19. 59
  20. 38
  21. 25
  22. 59
  23. 39
  24. 102
  25. 45
  26. 46
  27. 47
  28. 64
  29. 89
  30. 30
  31. 42
  32. 25
  33. 16
  34. 108
  35. 44
  36. 26
  37. 14
  38. 27
  39. 75
  40. 43

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