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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 765 · 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.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 1 (b) 15 (c) 2 (d) 32
  2. 2.What is the average of all the whole numbers from 8 to 34? (a) 22 (b) 21 (c) 13 (d) 26
  3. 3.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 40 (b) 37 (c) 69 (d) 72
  4. 4.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 47 (b) 41 (c) 96 (d) 42
  5. 5.What is the average of 12, 32, 36, 22 and 3? (a) 23 (b) 21 (c) 20 (d) 22
  6. 6.What is the average of 56, 60, 66, 69 and 44? (a) 58 (b) 60 (c) 59 (d) 61
  7. 7.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 45 (c) 8 (d) 52
  8. 8.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 32 (b) 30 (c) 58 (d) 56
  9. 9.What is the average of 43, 21, 22, 48, 49 and 27? (a) 36 (b) 34 (c) 42 (d) 35
  10. 10.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 24 (b) 49 (c) 47 (d) 26
  11. 11.What is the average of all the whole numbers from 33 to 69? (a) 52 (b) 18 (c) 51 (d) 36
  12. 12.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 52? (a) 52 (b) 58 (c) 54 (d) 8
  13. 13.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 46 (d) 18
  14. 14.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) 40 (b) 69 (c) 37 (d) 45
  15. 15.What is the average of 65, 69, 60, 62, 72 and 86? (a) 69 (b) 71 (c) 68 (d) 70
  16. 16.What is the average of 75, 52, 50 and 75? (a) 62 (b) 64 (c) 63 (d) 84
  17. 17.What is the average of 32, 13, 16, 9, 31 and 43? (a) 26 (b) 23 (c) 25 (d) 24
  18. 18.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) 43 (b) 27 (c) 31 (d) 20
  19. 19.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 12 (c) 36 (d) 44
  20. 20.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 48? (a) 90 (b) 49 (c) 48 (d) 55
  21. 21.What is the average of 74, 66, 82 and 54? (a) 92 (b) 68 (c) 70 (d) 69
  22. 22.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 34 (b) 27 (c) 63 (d) 83
  23. 23.What is the average of all the whole numbers from 48 to 80? (a) 64 (b) 32 (c) 65 (d) 16
  24. 24.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 14 (c) 53 (d) 41
  25. 25.What is the average of 95, 92, 94 and 39? (a) 81 (b) 82 (c) 79 (d) 80
  26. 26.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 20 (b) 63 (c) 47 (d) 45
  27. 27.What is the average of 26, 19, 15, 21, 11 and 46? (a) 24 (b) 25 (c) 22 (d) 23
  28. 28.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 93 (b) 43 (c) 42 (d) 46
  29. 29.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 41 (b) 8 (c) 19 (d) 7
  30. 30.What is the average of 41, 26, 49 and 32? (a) 39 (b) 36 (c) 37 (d) 38
  31. 31.What is the average of all the whole numbers from 19 to 55? (a) 37 (b) 18 (c) 36 (d) 38
  32. 32.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) 92 (b) 36 (c) 70 (d) 29
  33. 33.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 36 (b) 15 (c) 27 (d) 24
  34. 34.What is the average of 24, 37, 27, 26 and 16? (a) 27 (b) 25 (c) 28 (d) 26
  35. 35.What is the average of all the whole numbers from 47 to 63? (a) 16 (b) 56 (c) 8 (d) 55
  36. 36.What is the average of all the whole numbers from 41 to 69? (a) 28 (b) 55 (c) 56 (d) 14
  37. 37.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 7 (b) 14 (c) 29 (d) 8
  38. 38.What is the average of 84, 69, 74, 81 and 82? (a) 77 (b) 79 (c) 80 (d) 78
  39. 39.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 33 (c) 6 (d) 55
  40. 40.What is the average of 33, 32, 38, 37 and 80? (a) 43 (b) 55 (c) 44 (d) 45

Answer key

  1. 1
  2. 21
  3. 72
  4. 41
  5. 21
  6. 59
  7. 52
  8. 58
  9. 35
  10. 47
  11. 51
  12. 58
  13. 46
  14. 69
  15. 69
  16. 63
  17. 24
  18. 43
  19. 44
  20. 90
  21. 69
  22. 83
  23. 64
  24. 53
  25. 80
  26. 63
  27. 23
  28. 42
  29. 7
  30. 37
  31. 37
  32. 92
  33. 36
  34. 26
  35. 55
  36. 55
  37. 7
  38. 78
  39. 33
  40. 44

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