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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 365 · 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 23, 35, 39, 39, 47 and 15? (a) 35 (b) 34 (c) 32 (d) 33
  2. 2.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 100 (c) 45 (d) 65
  3. 3.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 5 (b) 31 (c) 53 (d) 27
  4. 4.What is the average of all the whole numbers from 12 to 48? (a) 30 (b) 18 (c) 36 (d) 31
  5. 5.What is the average of 42, 30, 51 and 57? (a) 60 (b) 46 (c) 45 (d) 44
  6. 6.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 25 (b) 51 (c) 20 (d) 19
  7. 7.What is the average of all the whole numbers from 22 to 58? (a) 18 (b) 36 (c) 40 (d) 41
  8. 8.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 65 (b) 53 (c) 18 (d) 50
  9. 9.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 14 (c) 33 (d) 21
  10. 10.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 4 (b) 40 (c) 73 (d) 37
  11. 11.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 22 (b) 15 (c) 29 (d) 8
  12. 12.What is the average of 46, 33, 31, 33 and 67? (a) 42 (b) 41 (c) 43 (d) 44
  13. 13.What is the average of 48, 49, 44 and 35? (a) 46 (b) 44 (c) 43 (d) 45
  14. 14.What is the average of all the whole numbers from 21 to 29? (a) 25 (b) 26 (c) 4 (d) 8
  15. 15.What is the average of all the whole numbers from 16 to 30? (a) 7 (b) 14 (c) 24 (d) 23
  16. 16.What is the average of all the whole numbers from 39 to 75? (a) 36 (b) 18 (c) 57 (d) 58
  17. 17.What is the average of 26, 49, 30, 49 and 51? (a) 41 (b) 40 (c) 43 (d) 42
  18. 18.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 25 (d) 56
  19. 19.What is the average of all the whole numbers from 50 to 86? (a) 18 (b) 68 (c) 36 (d) 69
  20. 20.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 57 (c) 69 (d) 25
  21. 21.What is the average of 76, 69, 79 and 88? (a) 77 (b) 104 (c) 79 (d) 78
  22. 22.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 53 (c) 83 (d) 42
  23. 23.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 29 (b) 34 (c) 69 (d) 28
  24. 24.What is the average of all the whole numbers from 59 to 75? (a) 8 (b) 68 (c) 67 (d) 16
  25. 25.What is the average of 16, 37, 11, 22, 21 and 31? (a) 23 (b) 22 (c) 24 (d) 25
  26. 26.What is the average of 40, 28, 22 and 38? (a) 34 (b) 32 (c) 31 (d) 33
  27. 27.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 56 (b) 14 (c) 13 (d) 27
  28. 28.What is the average of all the whole numbers from 24 to 52? (a) 14 (b) 39 (c) 28 (d) 38
  29. 29.What is the average of all the whole numbers from 13 to 43? (a) 29 (b) 15 (c) 28 (d) 30
  30. 30.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 67 (b) 43 (c) 32 (d) 39
  31. 31.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 20 (c) 42 (d) 48
  32. 32.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 45 (b) 60 (c) 40 (d) 25
  33. 33.What is the average of 77, 64, 83 and 92? (a) 80 (b) 81 (c) 78 (d) 79
  34. 34.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 62 (c) 21 (d) 80
  35. 35.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 57 (c) 12 (d) 47
  36. 36.What is the average of 16, 15, 18, 37 and 64? (a) 32 (b) 31 (c) 29 (d) 30
  37. 37.What is the average of all the whole numbers from 33 to 59? (a) 26 (b) 13 (c) 47 (d) 46
  38. 38.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 67 (b) 21 (c) 35 (d) 53
  39. 39.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 16 (b) 43 (c) 31 (d) 29
  40. 40.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 42 (b) 12 (c) 33 (d) 36

Answer key

  1. 33
  2. 100
  3. 31
  4. 30
  5. 45
  6. 19
  7. 40
  8. 65
  9. 33
  10. 40
  11. 22
  12. 42
  13. 44
  14. 25
  15. 23
  16. 57
  17. 41
  18. 56
  19. 68
  20. 57
  21. 78
  22. 83
  23. 28
  24. 67
  25. 23
  26. 32
  27. 13
  28. 38
  29. 28
  30. 67
  31. 42
  32. 60
  33. 79
  34. 80
  35. 57
  36. 30
  37. 46
  38. 53
  39. 43
  40. 42

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