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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 689 · 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 56, 34, 38, 34, 31 and 71? (a) 43 (b) 44 (c) 46 (d) 45
  2. 2.What is the average of all the whole numbers from 45 to 59? (a) 14 (b) 7 (c) 53 (d) 52
  3. 3.What is the average of all the whole numbers from 32 to 58? (a) 45 (b) 26 (c) 46 (d) 13
  4. 4.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 16 (c) 59 (d) 90
  5. 5.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 16 (c) 18 (d) 8
  6. 6.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 94 (b) 46 (c) 64 (d) 38
  7. 7.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 21 (c) 41 (d) 4
  8. 8.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 26 (b) 5 (c) 12 (d) 4
  9. 9.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 24 (b) 49 (c) 25 (d) 103
  10. 10.What is the average of 33, 32, 40 and 63? (a) 56 (b) 43 (c) 41 (d) 42
  11. 11.What is the average of 26, 21, 36, 22, 31 and 74? (a) 36 (b) 42 (c) 35 (d) 34
  12. 12.What is the average of all the whole numbers from 5 to 27? (a) 16 (b) 17 (c) 22 (d) 11
  13. 13.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 14 (b) 63 (c) 53 (d) 51
  14. 14.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 21 (c) 61 (d) 83
  15. 15.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 24 (b) 65 (c) 47 (d) 44
  16. 16.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 9 (b) 14 (c) 8 (d) 29
  17. 17.What is the average of 78, 66, 73, 78 and 65? (a) 73 (b) 90 (c) 72 (d) 71
  18. 18.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 83 (b) 20 (c) 39 (d) 19
  19. 19.What is the average of all the whole numbers from 40 to 62? (a) 52 (b) 51 (c) 22 (d) 11
  20. 20.What is the average of 19, 16, 19, 14, 34 and 36? (a) 25 (b) 22 (c) 23 (d) 24
  21. 21.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 31 (b) 51 (c) 28 (d) 27
  22. 22.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 66 (b) 34 (c) 42 (d) 40
  23. 23.What is the average of all the whole numbers from 56 to 64? (a) 8 (b) 4 (c) 61 (d) 60
  24. 24.What is the average of 55, 73, 58, 76 and 48? (a) 62 (b) 63 (c) 64 (d) 61
  25. 25.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 77 (b) 35 (c) 54 (d) 29
  26. 26.What is the average of all the whole numbers from 31 to 65? (a) 49 (b) 48 (c) 34 (d) 17
  27. 27.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 23 (c) 38 (d) 41
  28. 28.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 4 (b) 59 (c) 30 (d) 33
  29. 29.What is the average of all the whole numbers from 6 to 36? (a) 15 (b) 21 (c) 30 (d) 22
  30. 30.What is the average of all the whole numbers from 9 to 17? (a) 4 (b) 8 (c) 13 (d) 14
  31. 31.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 40 (c) 65 (d) 30
  32. 32.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 35 (c) 20 (d) 51
  33. 33.What is the average of 74, 80, 84 and 70? (a) 79 (b) 76 (c) 78 (d) 77
  34. 34.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 4 (c) 14 (d) 11
  35. 35.What is the average of all the whole numbers from 36 to 48? (a) 12 (b) 43 (c) 42 (d) 6
  36. 36.What is the average of all the whole numbers from 39 to 71? (a) 32 (b) 56 (c) 16 (d) 55
  37. 37.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 14 (b) 36 (c) 38 (d) 48
  38. 38.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 31? (a) 42 (b) 67 (c) 37 (d) 31
  39. 39.What is the average of all the whole numbers from 51 to 85? (a) 34 (b) 69 (c) 17 (d) 68
  40. 40.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 31 (b) 17 (c) 65 (d) 16

Answer key

  1. 44
  2. 52
  3. 45
  4. 59
  5. 16
  6. 94
  7. 24
  8. 4
  9. 24
  10. 42
  11. 35
  12. 16
  13. 63
  14. 61
  15. 65
  16. 8
  17. 72
  18. 19
  19. 51
  20. 23
  21. 51
  22. 66
  23. 60
  24. 62
  25. 77
  26. 48
  27. 38
  28. 33
  29. 21
  30. 13
  31. 65
  32. 51
  33. 77
  34. 14
  35. 42
  36. 55
  37. 48
  38. 67
  39. 68
  40. 16

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