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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 867 · 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, 46, 22, 28 and 51? (a) 36 (b) 37 (c) 39 (d) 38
  2. 2.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 25 (c) 61 (d) 24
  3. 3.What is the average of all the whole numbers from 47 to 83? (a) 66 (b) 18 (c) 65 (d) 36
  4. 4.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 54 (c) 89 (d) 47
  5. 5.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 20 (c) 48 (d) 33
  6. 6.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 40 (c) 70 (d) 96
  7. 7.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 52 (b) 31 (c) 28 (d) 38
  8. 8.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 28 (b) 6 (c) 23 (d) 45
  9. 9.What is the average of 11, 22, 24, 12 and 56? (a) 26 (b) 27 (c) 25 (d) 24
  10. 10.What is the average of all the whole numbers from 9 to 35? (a) 26 (b) 13 (c) 22 (d) 23
  11. 11.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 18 (c) 53 (d) 41
  12. 12.What is the average of all the whole numbers from 24 to 62? (a) 44 (b) 43 (c) 38 (d) 19
  13. 13.What is the average of all the whole numbers from 45 to 51? (a) 48 (b) 6 (c) 3 (d) 49
  14. 14.What is the average of 46, 31, 35, 28 and 30? (a) 35 (b) 33 (c) 36 (d) 34
  15. 15.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 5 (c) 21 (d) 25
  16. 16.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) 29 (c) 28 (d) 65
  17. 17.What is the average of all the whole numbers from 10 to 34? (a) 22 (b) 23 (c) 24 (d) 12
  18. 18.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 56 (b) 104 (c) 55 (d) 62
  19. 19.What is the average of 82, 64, 68 and 82? (a) 73 (b) 75 (c) 76 (d) 74
  20. 20.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) 67 (b) 102 (c) 49 (d) 60
  21. 21.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 72 (c) 44 (d) 37
  22. 22.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 18 (c) 95 (d) 64
  23. 23.What is the average of 79, 85, 78 and 66? (a) 79 (b) 76 (c) 77 (d) 78
  24. 24.What is the average of 31, 40, 44 and 65? (a) 46 (b) 44 (c) 60 (d) 45
  25. 25.What is the average of all the whole numbers from 48 to 68? (a) 59 (b) 10 (c) 20 (d) 58
  26. 26.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 33 (c) 14 (d) 43
  27. 27.What is the average of 63, 59, 65 and 93? (a) 72 (b) 70 (c) 71 (d) 69
  28. 28.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
  29. 29.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 47 (b) 52 (c) 93 (d) 6
  30. 30.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 65 (c) 14 (d) 28
  31. 31.What is the average of 62, 61, 78, 84, 67 and 92? (a) 75 (b) 73 (c) 76 (d) 74
  32. 32.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 16 (b) 58 (c) 66 (d) 54
  33. 33.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 62 (b) 38 (c) 36 (d) 32
  34. 34.What is the average of 36, 40, 60 and 60? (a) 48 (b) 50 (c) 49 (d) 51
  35. 35.What is the average of all the whole numbers from 22 to 28? (a) 26 (b) 3 (c) 6 (d) 25
  36. 36.What is the average of all the whole numbers from 22 to 44? (a) 33 (b) 11 (c) 22 (d) 34
  37. 37.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 70 (b) 35 (c) 40 (d) 45
  38. 38.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 47 (b) 45 (c) 14 (d) 57
  39. 39.What is the average of 21, 31, 33, 28, 35 and 32? (a) 30 (b) 29 (c) 36 (d) 31
  40. 40.What is the average of 20, 23, 37, 17 and 13? (a) 21 (b) 23 (c) 22 (d) 24

Answer key

  1. 37
  2. 24
  3. 65
  4. 89
  5. 48
  6. 96
  7. 52
  8. 28
  9. 25
  10. 22
  11. 53
  12. 43
  13. 48
  14. 34
  15. 25
  16. 28
  17. 22
  18. 104
  19. 74
  20. 102
  21. 72
  22. 64
  23. 77
  24. 45
  25. 58
  26. 43
  27. 70
  28. 40
  29. 52
  30. 64
  31. 74
  32. 66
  33. 62
  34. 49
  35. 25
  36. 33
  37. 70
  38. 57
  39. 30
  40. 22

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