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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 6 · 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.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 44 (c) 28 (d) 20
  2. 2.What is the average of 49, 24, 34, 43, 20 and 34? (a) 34 (b) 35 (c) 33 (d) 36
  3. 3.What is the average of all the whole numbers from 13 to 45? (a) 30 (b) 16 (c) 29 (d) 32
  4. 4.What is the average of all the whole numbers from 25 to 51? (a) 38 (b) 39 (c) 13 (d) 26
  5. 5.What is the average of 83, 73, 83 and 57? (a) 74 (b) 76 (c) 75 (d) 73
  6. 6.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 12 (b) 33 (c) 18 (d) 27
  7. 7.What is the average of all the whole numbers from 14 to 30? (a) 16 (b) 22 (c) 23 (d) 8
  8. 8.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 46 (b) 39 (c) 77 (d) 8
  9. 9.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 3 (b) 12 (c) 2 (d) 26
  10. 10.What is the average of 32, 44, 46 and 46? (a) 43 (b) 56 (c) 42 (d) 41
  11. 11.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 17 (c) 4 (d) 14
  12. 12.What is the average of 65, 68, 58, 52, 59 and 94? (a) 66 (b) 65 (c) 67 (d) 68
  13. 13.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 15 (c) 11 (d) 12
  14. 14.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 35 (c) 41 (d) 34
  15. 15.What is the average of 61, 59, 64 and 84? (a) 69 (b) 67 (c) 68 (d) 66
  16. 16.What is the average of 30, 40, 25, 21, 27 and 25? (a) 29 (b) 27 (c) 30 (d) 28
  17. 17.What is the average of all the whole numbers from 12 to 24? (a) 19 (b) 12 (c) 18 (d) 6
  18. 18.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 46 (b) 93 (c) 40 (d) 41
  19. 19.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 2 (c) 1 (d) 35
  20. 20.What is the average of 29, 28, 42, 29, 48 and 28? (a) 34 (b) 36 (c) 35 (d) 33
  21. 21.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 107 (b) 65 (c) 54 (d) 59
  22. 22.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 20 (c) 31 (d) 43
  23. 23.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 66 (b) 24 (c) 78 (d) 60
  24. 24.What is the average of all the whole numbers from 50 to 82? (a) 66 (b) 16 (c) 67 (d) 32
  25. 25.What is the average of all the whole numbers from 60 to 72? (a) 66 (b) 12 (c) 67 (d) 6
  26. 26.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 29? (a) 29 (b) 32 (c) 56 (d) 30
  27. 27.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 31 (c) 16 (d) 5
  28. 28.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 7 (b) 29 (c) 21 (d) 15
  29. 29.What is the average of all the whole numbers from 21 to 31? (a) 10 (b) 5 (c) 26 (d) 27
  30. 30.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 78 (c) 45 (d) 38
  31. 31.What is the average of 62, 53, 49, 60, 43 and 81? (a) 57 (b) 59 (c) 60 (d) 58
  32. 32.What is the average of all the whole numbers from 34 to 74? (a) 55 (b) 54 (c) 40 (d) 20
  33. 33.What is the average of 38, 15, 37, 8 and 17? (a) 25 (b) 24 (c) 23 (d) 22
  34. 34.What is the average of all the whole numbers from 33 to 69? (a) 36 (b) 51 (c) 52 (d) 18
  35. 35.What is the average of all the whole numbers from 12 to 28? (a) 21 (b) 20 (c) 8 (d) 16
  36. 36.What is the average of all the whole numbers from 41 to 51? (a) 5 (b) 47 (c) 46 (d) 10
  37. 37.What is the average of 56, 41, 64, 69, 68 and 26? (a) 54 (b) 56 (c) 55 (d) 53
  38. 38.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 30? (a) 40 (b) 32 (c) 30 (d) 12
  39. 39.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 69 (c) 37 (d) 40
  40. 40.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 49 (b) 43 (c) 85 (d) 7

Answer key

  1. 44
  2. 34
  3. 29
  4. 38
  5. 74
  6. 27
  7. 22
  8. 46
  9. 2
  10. 42
  11. 17
  12. 66
  13. 11
  14. 34
  15. 67
  16. 28
  17. 18
  18. 40
  19. 1
  20. 34
  21. 107
  22. 43
  23. 78
  24. 66
  25. 66
  26. 56
  27. 20
  28. 21
  29. 26
  30. 78
  31. 58
  32. 54
  33. 23
  34. 51
  35. 20
  36. 46
  37. 54
  38. 40
  39. 69
  40. 49

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