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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 121 · 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 36 to 60? (a) 48 (b) 12 (c) 49 (d) 24
  2. 2.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 59 (c) 43 (d) 40
  3. 3.What is the average of all the whole numbers from 11 to 27? (a) 8 (b) 16 (c) 20 (d) 19
  4. 4.What is the average of 24, 22, 20 and 58? (a) 32 (b) 33 (c) 30 (d) 31
  5. 5.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 20 (c) 68 (d) 52
  6. 6.What is the average of 62, 49, 51 and 62? (a) 57 (b) 55 (c) 56 (d) 58
  7. 7.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 30 (b) 15 (c) 18 (d) 33
  8. 8.What is the average of all the whole numbers from 38 to 54? (a) 16 (b) 8 (c) 47 (d) 46
  9. 9.What is the average of 46, 52, 43, 45, 68 and 82? (a) 56 (b) 57 (c) 55 (d) 58
  10. 10.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 4 (b) 34 (c) 3 (d) 15
  11. 11.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 65 (b) 34 (c) 43 (d) 12
  12. 12.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 5 (b) 27 (c) 18 (d) 14
  13. 13.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 15 (c) 38 (d) 49
  14. 14.What is the average of 59, 72, 72 and 81? (a) 70 (b) 72 (c) 73 (d) 71
  15. 15.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 2 (b) 3 (c) 48 (d) 22
  16. 16.What is the average of all the whole numbers from 6 to 44? (a) 25 (b) 26 (c) 38 (d) 19
  17. 17.What is the average of 62, 60, 61, 38, 32 and 29? (a) 46 (b) 47 (c) 48 (d) 49
  18. 18.What is the average of all the whole numbers from 45 to 63? (a) 9 (b) 54 (c) 55 (d) 18
  19. 19.What is the average of all the whole numbers from 12 to 36? (a) 25 (b) 24 (c) 12 (d) 23
  20. 20.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 58 (b) 33 (c) 30 (d) 57
  21. 21.What is the average of all the whole numbers from 15 to 27? (a) 6 (b) 12 (c) 21 (d) 22
  22. 22.What is the average of 11, 33, 24, 29, 11 and 12? (a) 19 (b) 21 (c) 24 (d) 20
  23. 23.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 5 (b) 49 (c) 97 (d) 53
  24. 24.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 70 (b) 92 (c) 29 (d) 36
  25. 25.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 19 (b) 30 (c) 18 (d) 64
  26. 26.What is the average of all the whole numbers from 11 to 21? (a) 5 (b) 17 (c) 10 (d) 16
  27. 27.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 14 (b) 39 (c) 41 (d) 51
  28. 28.What is the average of 71, 68, 65, 61 and 70? (a) 69 (b) 68 (c) 67 (d) 66
  29. 29.What is the average of all the whole numbers from 14 to 28? (a) 21 (b) 14 (c) 22 (d) 7
  30. 30.What is the average of 37, 41, 34, 22, 31 and 39? (a) 33 (b) 35 (c) 34 (d) 36
  31. 31.What is the average of 70, 85, 82 and 55? (a) 72 (b) 73 (c) 74 (d) 75
  32. 32.What is the average of 26, 53, 35, 47 and 39? (a) 41 (b) 39 (c) 50 (d) 40
  33. 33.What is the average of all the whole numbers from 7 to 27? (a) 10 (b) 20 (c) 18 (d) 17
  34. 34.What is the average of 56, 63, 71, 79 and 61? (a) 67 (b) 66 (c) 65 (d) 68
  35. 35.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 20 (c) 12 (d) 30
  36. 36.What is the average of 37, 43, 48 and 48? (a) 45 (b) 44 (c) 43 (d) 46
  37. 37.What is the average of 43, 40, 45 and 32? (a) 40 (b) 41 (c) 39 (d) 42
  38. 38.What is the average of all the whole numbers from 32 to 58? (a) 45 (b) 26 (c) 46 (d) 13
  39. 39.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 62 (b) 97 (c) 55 (d) 49
  40. 40.What is the average of all the whole numbers from 41 to 55? (a) 48 (b) 49 (c) 14 (d) 7

Answer key

  1. 48
  2. 59
  3. 19
  4. 31
  5. 68
  6. 56
  7. 30
  8. 46
  9. 56
  10. 3
  11. 43
  12. 18
  13. 38
  14. 71
  15. 2
  16. 25
  17. 47
  18. 54
  19. 24
  20. 57
  21. 21
  22. 20
  23. 53
  24. 92
  25. 18
  26. 16
  27. 51
  28. 67
  29. 21
  30. 34
  31. 73
  32. 40
  33. 17
  34. 66
  35. 30
  36. 44
  37. 40
  38. 45
  39. 97
  40. 48

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