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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 437 · 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 14 to 22? (a) 18 (b) 8 (c) 19 (d) 4
  2. 2.What is the average of 52, 56, 49, 49 and 109? (a) 63 (b) 64 (c) 62 (d) 65
  3. 3.What is the average of 63, 37, 55 and 41? (a) 50 (b) 49 (c) 51 (d) 48
  4. 4.What is the average of 25, 33, 36 and 38? (a) 33 (b) 32 (c) 44 (d) 34
  5. 5.What is the average of 28, 14, 24, 26, 14 and 32? (a) 23 (b) 22 (c) 24 (d) 25
  6. 6.What is the average of all the whole numbers from 51 to 91? (a) 40 (b) 72 (c) 71 (d) 20
  7. 7.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 20 (b) 18 (c) 32 (d) 34
  8. 8.What is the average of 75, 70, 77, 80 and 78? (a) 77 (b) 76 (c) 95 (d) 75
  9. 9.What is the average of 53, 46, 38 and 47? (a) 45 (b) 47 (c) 48 (d) 46
  10. 10.What is the average of 39, 12, 23 and 30? (a) 26 (b) 27 (c) 25 (d) 28
  11. 11.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 8 (c) 40 (d) 33
  12. 12.What is the average of 67, 56, 39 and 46? (a) 53 (b) 51 (c) 54 (d) 52
  13. 13.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 43 (b) 99 (c) 72 (d) 35
  14. 14.What is the average of 22, 17, 16 and 41? (a) 32 (b) 23 (c) 24 (d) 25
  15. 15.What is the average of 81, 66, 77 and 96? (a) 82 (b) 79 (c) 81 (d) 80
  16. 16.What is the average of all the whole numbers from 22 to 32? (a) 27 (b) 28 (c) 5 (d) 10
  17. 17.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 35 (b) 31 (c) 57 (d) 61
  18. 18.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 37 (c) 32 (d) 33
  19. 19.What is the average of 44, 47, 50, 59 and 60? (a) 52 (b) 53 (c) 51 (d) 65
  20. 20.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 57 (b) 78 (c) 41 (d) 20
  21. 21.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 90 (c) 66 (d) 30
  22. 22.What is the average of 30, 28, 33 and 25? (a) 30 (b) 31 (c) 29 (d) 28
  23. 23.What is the average of 33, 37, 27, 45 and 43? (a) 36 (b) 37 (c) 38 (d) 39
  24. 24.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 22? (a) 14 (b) 34 (c) 22 (d) 24
  25. 25.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 8 (b) 41 (c) 80 (d) 47
  26. 26.What is the average of all the whole numbers from 38 to 48? (a) 10 (b) 5 (c) 43 (d) 44
  27. 27.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 39 (b) 33 (c) 24 (d) 18
  28. 28.What is the average of 48, 50, 68, 52 and 82? (a) 59 (b) 75 (c) 61 (d) 60
  29. 29.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 80 (b) 58 (c) 122 (d) 50
  30. 30.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 36? (a) 76 (b) 48 (c) 44 (d) 36
  31. 31.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 43 (c) 44 (d) 95
  32. 32.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 105 (c) 106 (d) 63
  33. 33.What is the average of all the whole numbers from 38 to 56? (a) 48 (b) 47 (c) 9 (d) 18
  34. 34.What is the average of 29, 41, 23, 43 and 49? (a) 38 (b) 37 (c) 39 (d) 36
  35. 35.What is the average of 27, 22, 49 and 50? (a) 38 (b) 39 (c) 36 (d) 37
  36. 36.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) 27 (b) 16 (c) 35 (d) 46
  37. 37.What is the average of 19, 9, 35, 30, 15 and 12? (a) 24 (b) 20 (c) 19 (d) 21
  38. 38.What is the average of 17, 32, 40, 11 and 30? (a) 28 (b) 26 (c) 27 (d) 25
  39. 39.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 47 (b) 12 (c) 41 (d) 38
  40. 40.What is the average of 43, 42, 46 and 85? (a) 55 (b) 54 (c) 72 (d) 53

Answer key

  1. 18
  2. 63
  3. 49
  4. 33
  5. 23
  6. 71
  7. 34
  8. 76
  9. 46
  10. 26
  11. 40
  12. 52
  13. 99
  14. 24
  15. 80
  16. 27
  17. 61
  18. 32
  19. 52
  20. 57
  21. 90
  22. 29
  23. 37
  24. 34
  25. 47
  26. 43
  27. 39
  28. 60
  29. 122
  30. 76
  31. 43
  32. 105
  33. 47
  34. 37
  35. 37
  36. 46
  37. 20
  38. 26
  39. 47
  40. 54

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