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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 762 · 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 44 to 66? (a) 56 (b) 22 (c) 55 (d) 11
  2. 2.What is the average of all the whole numbers from 5 to 29? (a) 18 (b) 12 (c) 24 (d) 17
  3. 3.What is the average of all the whole numbers from 51 to 89? (a) 38 (b) 70 (c) 71 (d) 19
  4. 4.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 19 (c) 34 (d) 16
  5. 5.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 6 (b) 50 (c) 89 (d) 45
  6. 6.What is the average of all the whole numbers from 48 to 54? (a) 6 (b) 51 (c) 52 (d) 3
  7. 7.What is the average of all the whole numbers from 17 to 57? (a) 40 (b) 38 (c) 37 (d) 20
  8. 8.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 6 (d) 21
  9. 9.What is the average of 41, 61, 66, 66, 44 and 46? (a) 55 (b) 54 (c) 56 (d) 53
  10. 10.What is the average of 79, 66, 63, 70 and 112? (a) 80 (b) 78 (c) 77 (d) 79
  11. 11.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 32 (b) 70 (c) 46 (d) 42
  12. 12.What is the average of 67, 80, 81, 71 and 81? (a) 75 (b) 77 (c) 95 (d) 76
  13. 13.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 72 (c) 16 (d) 50
  14. 14.What is the average of all the whole numbers from 6 to 16? (a) 11 (b) 12 (c) 10 (d) 5
  15. 15.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 4 (b) 33 (c) 71 (d) 3
  16. 16.What is the average of 51, 70, 54, 75, 78 and 62? (a) 65 (b) 64 (c) 78 (d) 66
  17. 17.What is the average of 43, 36, 44 and 21? (a) 35 (b) 36 (c) 37 (d) 48
  18. 18.What is the average of 47, 61, 52, 59, 48 and 9? (a) 48 (b) 47 (c) 45 (d) 46
  19. 19.What is the average of 74, 52, 58, 69, 64 and 49? (a) 63 (b) 61 (c) 60 (d) 62
  20. 20.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 61 (b) 18 (c) 46 (d) 89
  21. 21.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 52 (c) 18 (d) 64
  22. 22.What is the average of 64, 52, 44, 58 and 72? (a) 60 (b) 57 (c) 59 (d) 58
  23. 23.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 15 (c) 88 (d) 14
  24. 24.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 2 (c) 62 (d) 1
  25. 25.What is the average of all the whole numbers from 12 to 20? (a) 8 (b) 17 (c) 16 (d) 4
  26. 26.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 37 (b) 87 (c) 36 (d) 43
  27. 27.What is the average of 60, 46, 41, 57, 46 and 74? (a) 56 (b) 54 (c) 55 (d) 53
  28. 28.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 50 (c) 35 (d) 75
  29. 29.What is the average of all the whole numbers from 26 to 52? (a) 40 (b) 26 (c) 39 (d) 13
  30. 30.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 51 (b) 30 (c) 25 (d) 50
  31. 31.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 9 (b) 10 (c) 46 (d) 21
  32. 32.What is the average of 36, 32, 15, 14, 12 and 23? (a) 23 (b) 21 (c) 22 (d) 24
  33. 33.What is the average of all the whole numbers from 30 to 70? (a) 51 (b) 40 (c) 20 (d) 50
  34. 34.What is the average of 10, 5, 28, 22 and 35? (a) 21 (b) 19 (c) 25 (d) 20
  35. 35.What is the average of 68, 79, 74, 71, 84 and 80? (a) 75 (b) 76 (c) 78 (d) 77
  36. 36.What is the average of 67, 69, 70, 77, 69 and 110? (a) 77 (b) 76 (c) 79 (d) 78
  37. 37.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 56 (b) 82 (c) 42 (d) 34
  38. 38.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 57 (c) 92 (d) 12
  39. 39.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 15 (b) 53 (c) 41 (d) 44
  40. 40.What is the average of 28, 18, 41, 26 and 37? (a) 32 (b) 30 (c) 29 (d) 31

Answer key

  1. 55
  2. 17
  3. 70
  4. 31
  5. 50
  6. 51
  7. 37
  8. 21
  9. 54
  10. 78
  11. 70
  12. 76
  13. 50
  14. 11
  15. 3
  16. 65
  17. 36
  18. 46
  19. 61
  20. 61
  21. 64
  22. 58
  23. 14
  24. 1
  25. 16
  26. 36
  27. 54
  28. 75
  29. 39
  30. 50
  31. 9
  32. 22
  33. 50
  34. 20
  35. 76
  36. 77
  37. 82
  38. 57
  39. 53
  40. 30

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