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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 368 · 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 28, 46, 31, 55, 42 and 56? (a) 43 (b) 45 (c) 42 (d) 44
  2. 2.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 54 (c) 13 (d) 14
  3. 3.What is the average of all the whole numbers from 33 to 55? (a) 45 (b) 44 (c) 22 (d) 11
  4. 4.What is the average of 46, 32, 32 and 18? (a) 32 (b) 34 (c) 33 (d) 31
  5. 5.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 6 (b) 5 (c) 11 (d) 24
  6. 6.What is the average of 28, 21, 30, 19, 41 and 59? (a) 34 (b) 33 (c) 35 (d) 32
  7. 7.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 70 (b) 25 (c) 50 (d) 95
  8. 8.What is the average of all the whole numbers from 20 to 56? (a) 38 (b) 36 (c) 39 (d) 18
  9. 9.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 18 (b) 60 (c) 57 (d) 72
  10. 10.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 70 (b) 54 (c) 110 (d) 47
  11. 11.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 72 (b) 120 (c) 64 (d) 56
  12. 12.What is the average of all the whole numbers from 50 to 82? (a) 32 (b) 16 (c) 66 (d) 67
  13. 13.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 41 (b) 20 (c) 23 (d) 38
  14. 14.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 56 (b) 93 (c) 44 (d) 51
  15. 15.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 27 (b) 35 (c) 73 (d) 26
  16. 16.What is the average of 53, 63, 52, 58, 50 and 84? (a) 60 (b) 61 (c) 59 (d) 72
  17. 17.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 5 (b) 4 (c) 34 (d) 73
  18. 18.What is the average of 59, 49, 50, 49 and 38? (a) 48 (b) 51 (c) 49 (d) 50
  19. 19.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 33? (a) 33 (b) 54 (c) 81 (d) 39
  20. 20.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 40 (b) 47 (c) 89 (d) 82
  21. 21.What is the average of all the whole numbers from 16 to 38? (a) 27 (b) 28 (c) 11 (d) 22
  22. 22.What is the average of 69, 65, 78 and 88? (a) 74 (b) 75 (c) 100 (d) 76
  23. 23.What is the average of 43, 42, 39, 26, 24 and 60? (a) 38 (b) 40 (c) 41 (d) 39
  24. 24.What is the average of 74, 68, 71, 59, 55 and 93? (a) 70 (b) 84 (c) 71 (d) 69
  25. 25.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 6 (b) 38 (c) 7 (d) 18
  26. 26.What is the average of 41, 31, 19, 23 and 51? (a) 35 (b) 32 (c) 34 (d) 33
  27. 27.What is the average of all the whole numbers from 38 to 54? (a) 16 (b) 46 (c) 8 (d) 47
  28. 28.What is the average of all the whole numbers from 30 to 40? (a) 10 (b) 36 (c) 5 (d) 35
  29. 29.What is the average of 22, 31, 38 and 57? (a) 38 (b) 39 (c) 37 (d) 36
  30. 30.What is the average of all the whole numbers from 55 to 87? (a) 16 (b) 72 (c) 32 (d) 71
  31. 31.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 35? (a) 38 (b) 18 (c) 35 (d) 50
  32. 32.What is the average of all the whole numbers from 30 to 70? (a) 20 (b) 50 (c) 40 (d) 51
  33. 33.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 65 (c) 54 (d) 107
  34. 34.What is the average of 36, 45, 32 and 75? (a) 48 (b) 47 (c) 49 (d) 46
  35. 35.What is the average of 48, 56, 38, 47 and 76? (a) 55 (b) 52 (c) 54 (d) 53
  36. 36.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 11 (c) 39 (d) 32
  37. 37.What is the average of all the whole numbers from 46 to 56? (a) 10 (b) 5 (c) 52 (d) 51
  38. 38.What is the average of all the whole numbers from 31 to 63? (a) 32 (b) 48 (c) 47 (d) 16
  39. 39.What is the average of all the whole numbers from 58 to 80? (a) 70 (b) 11 (c) 69 (d) 22
  40. 40.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 39 (c) 30 (d) 63

Answer key

  1. 43
  2. 13
  3. 44
  4. 32
  5. 5
  6. 33
  7. 70
  8. 38
  9. 72
  10. 110
  11. 120
  12. 66
  13. 38
  14. 93
  15. 26
  16. 60
  17. 4
  18. 49
  19. 81
  20. 82
  21. 27
  22. 75
  23. 39
  24. 70
  25. 6
  26. 33
  27. 46
  28. 35
  29. 37
  30. 71
  31. 50
  32. 50
  33. 107
  34. 47
  35. 53
  36. 39
  37. 51
  38. 47
  39. 69
  40. 63

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