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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 730 · 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 all the whole numbers from 19 to 31? (a) 6 (b) 12 (c) 26 (d) 25
  2. 2.What is the average of 75, 62, 52 and 67? (a) 64 (b) 63 (c) 65 (d) 66
  3. 3.What is the average of 18, 11, 16 and 51? (a) 32 (b) 24 (c) 25 (d) 23
  4. 4.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 91 (c) 23 (d) 24
  5. 5.What is the average of 83, 65, 64, 63, 63 and 100? (a) 75 (b) 73 (c) 74 (d) 72
  6. 6.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 42 (b) 70 (c) 80 (d) 32
  7. 7.What is the average of 47, 43, 20 and 26? (a) 35 (b) 36 (c) 34 (d) 33
  8. 8.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 32? (a) 38 (b) 32 (c) 60 (d) 86
  9. 9.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 15 (b) 40 (c) 53 (d) 28
  10. 10.What is the average of 36, 31, 17, 15 and 6? (a) 20 (b) 22 (c) 23 (d) 21
  11. 11.What is the average of all the whole numbers from 46 to 76? (a) 62 (b) 61 (c) 15 (d) 30
  12. 12.What is the average of all the whole numbers from 58 to 92? (a) 75 (b) 17 (c) 34 (d) 76
  13. 13.What is the average of 66, 56, 59, 69, 61 and 109? (a) 69 (b) 84 (c) 71 (d) 70
  14. 14.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 29 (c) 41 (d) 16
  15. 15.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 46 (b) 35 (c) 27 (d) 16
  16. 16.What is the average of 11, 23, 11, 20, 27 and 34? (a) 20 (b) 22 (c) 21 (d) 23
  17. 17.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 67 (c) 20 (d) 10
  18. 18.What is the average of 57, 58, 64 and 73? (a) 84 (b) 63 (c) 64 (d) 62
  19. 19.What is the average of 31, 28, 45 and 52? (a) 39 (b) 40 (c) 38 (d) 52
  20. 20.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 26? (a) 30 (b) 62 (c) 40 (d) 26
  21. 21.What is the average of all the whole numbers from 21 to 47? (a) 13 (b) 34 (c) 26 (d) 35
  22. 22.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 12 (c) 18 (d) 19
  23. 23.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 20 (b) 31 (c) 57 (d) 46
  24. 24.What is the average of 70, 53, 65 and 64? (a) 64 (b) 84 (c) 63 (d) 62
  25. 25.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 32 (c) 66 (d) 72
  26. 26.What is the average of 62, 63, 76, 81 and 68? (a) 70 (b) 69 (c) 72 (d) 71
  27. 27.What is the average of 38, 47, 55 and 68? (a) 51 (b) 53 (c) 54 (d) 52
  28. 28.What is the average of 85, 58, 76 and 65? (a) 72 (b) 70 (c) 73 (d) 71
  29. 29.What is the average of all the whole numbers from 49 to 65? (a) 16 (b) 58 (c) 57 (d) 8
  30. 30.What is the average of 28, 33, 43 and 20? (a) 32 (b) 30 (c) 33 (d) 31
  31. 31.What is the average of 72, 58, 57 and 93? (a) 70 (b) 71 (c) 69 (d) 72
  32. 32.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 45 (c) 18 (d) 60
  33. 33.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 36 (b) 76 (c) 48 (d) 44
  34. 34.What is the average of 36, 35, 37 and 40? (a) 37 (b) 36 (c) 38 (d) 39
  35. 35.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) 45 (b) 28 (c) 6 (d) 23
  36. 36.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 52 (c) 16 (d) 41
  37. 37.What is the average of all the whole numbers from 28 to 62? (a) 34 (b) 45 (c) 17 (d) 46
  38. 38.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 49 (b) 59 (c) 20 (d) 44
  39. 39.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 13 (b) 57 (c) 12 (d) 27
  40. 40.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 40 (c) 77 (d) 42

Answer key

  1. 25
  2. 64
  3. 24
  4. 23
  5. 73
  6. 70
  7. 34
  8. 86
  9. 40
  10. 21
  11. 61
  12. 75
  13. 70
  14. 41
  15. 46
  16. 21
  17. 67
  18. 63
  19. 39
  20. 62
  21. 34
  22. 18
  23. 46
  24. 63
  25. 66
  26. 70
  27. 52
  28. 71
  29. 57
  30. 31
  31. 70
  32. 60
  33. 76
  34. 37
  35. 28
  36. 41
  37. 45
  38. 59
  39. 12
  40. 77

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