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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 219 · 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 26, 23, 49, 27 and 65? (a) 39 (b) 38 (c) 37 (d) 40
  2. 2.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 76 (c) 9 (d) 8
  3. 3.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 24 (c) 44 (d) 64
  4. 4.What is the average of all the whole numbers from 55 to 63? (a) 60 (b) 8 (c) 4 (d) 59
  5. 5.What is the average of all the whole numbers from 25 to 41? (a) 8 (b) 16 (c) 34 (d) 33
  6. 6.What is the average of 42, 38, 47, 64, 43 and 84? (a) 53 (b) 54 (c) 52 (d) 55
  7. 7.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 24 (c) 39 (d) 5
  8. 8.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 20 (b) 56 (c) 61 (d) 71
  9. 9.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 36 (d) 68
  10. 10.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 24 (b) 29 (c) 55 (d) 50
  11. 11.What is the average of 62, 46, 46 and 46? (a) 52 (b) 49 (c) 50 (d) 51
  12. 12.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 7 (c) 32 (d) 15
  13. 13.What is the average of 69, 49, 70 and 48? (a) 61 (b) 60 (c) 58 (d) 59
  14. 14.What is the average of 72, 92, 67 and 89? (a) 82 (b) 79 (c) 81 (d) 80
  15. 15.What is the average of 21, 16, 8, 21 and 44? (a) 21 (b) 23 (c) 22 (d) 24
  16. 16.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 28 (b) 57 (c) 23 (d) 22
  17. 17.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 40 (b) 41 (c) 94 (d) 46
  18. 18.What is the average of all the whole numbers from 60 to 90? (a) 75 (b) 76 (c) 15 (d) 30
  19. 19.What is the average of all the whole numbers from 45 to 71? (a) 13 (b) 26 (c) 58 (d) 59
  20. 20.What is the average of 41, 39, 19, 44 and 17? (a) 40 (b) 33 (c) 31 (d) 32
  21. 21.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 60 (b) 95 (c) 53 (d) 49
  22. 22.What is the average of all the whole numbers from 44 to 60? (a) 52 (b) 16 (c) 8 (d) 53
  23. 23.What is the average of all the whole numbers from 53 to 65? (a) 60 (b) 12 (c) 59 (d) 6
  24. 24.What is the average of 69, 61, 78 and 52? (a) 67 (b) 64 (c) 65 (d) 66
  25. 25.What is the average of 32, 35, 21, 38 and 29? (a) 30 (b) 31 (c) 32 (d) 33
  26. 26.What is the average of all the whole numbers from 17 to 49? (a) 16 (b) 32 (c) 34 (d) 33
  27. 27.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 29 (b) 28 (c) 40 (d) 83
  28. 28.What is the average of all the whole numbers from 17 to 51? (a) 33 (b) 17 (c) 35 (d) 34
  29. 29.What is the average of 75, 63, 57 and 89? (a) 72 (b) 70 (c) 73 (d) 71
  30. 30.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 39 (b) 92 (c) 45 (d) 40
  31. 31.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 61 (c) 15 (d) 44
  32. 32.What is the average of all the whole numbers from 60 to 100? (a) 81 (b) 20 (c) 80 (d) 40
  33. 33.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 30 (b) 47 (c) 51 (d) 26
  34. 34.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 73 (b) 53 (c) 58 (d) 25
  35. 35.What is the average of 47, 28, 37 and 56? (a) 42 (b) 41 (c) 43 (d) 56
  36. 36.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 33 (b) 16 (c) 10 (d) 11
  37. 37.What is the average of all the whole numbers from 22 to 44? (a) 11 (b) 22 (c) 33 (d) 34
  38. 38.What is the average of all the whole numbers from 31 to 47? (a) 8 (b) 39 (c) 16 (d) 40
  39. 39.What is the average of all the whole numbers from 14 to 36? (a) 11 (b) 25 (c) 22 (d) 26
  40. 40.What is the average of 34, 33, 25, 41 and 47? (a) 45 (b) 36 (c) 37 (d) 35

Answer key

  1. 38
  2. 8
  3. 64
  4. 59
  5. 33
  6. 53
  7. 24
  8. 71
  9. 68
  10. 50
  11. 50
  12. 7
  13. 59
  14. 80
  15. 22
  16. 22
  17. 40
  18. 75
  19. 58
  20. 32
  21. 95
  22. 52
  23. 59
  24. 65
  25. 31
  26. 33
  27. 28
  28. 34
  29. 71
  30. 39
  31. 44
  32. 80
  33. 51
  34. 73
  35. 42
  36. 10
  37. 33
  38. 39
  39. 25
  40. 36

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