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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 297 · 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 38 to 66? (a) 14 (b) 53 (c) 52 (d) 28
  2. 2.What is the average of all the whole numbers from 40 to 48? (a) 4 (b) 44 (c) 45 (d) 8
  3. 3.What is the average of 65, 69, 49 and 53? (a) 61 (b) 59 (c) 58 (d) 60
  4. 4.What is the average of 13, 13, 35 and 47? (a) 27 (b) 28 (c) 36 (d) 26
  5. 5.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 26 (b) 8 (c) 50 (d) 32
  6. 6.What is the average of 67, 68, 69, 89 and 82? (a) 74 (b) 77 (c) 76 (d) 75
  7. 7.What is the average of all the whole numbers from 21 to 43? (a) 33 (b) 11 (c) 22 (d) 32
  8. 8.What is the average of all the whole numbers from 58 to 72? (a) 65 (b) 14 (c) 7 (d) 66
  9. 9.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 72 (b) 42 (c) 106 (d) 50
  10. 10.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 49 (c) 24 (d) 69
  11. 11.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 15 (c) 45 (d) 54
  12. 12.What is the average of 64, 82, 73, 61, 80 and 42? (a) 68 (b) 66 (c) 69 (d) 67
  13. 13.What is the average of all the whole numbers from 7 to 17? (a) 5 (b) 12 (c) 13 (d) 10
  14. 14.What is the average of 43, 39, 45, 52, 42 and 49? (a) 44 (b) 45 (c) 54 (d) 46
  15. 15.What is the average of 47, 49, 40 and 60? (a) 50 (b) 51 (c) 49 (d) 48
  16. 16.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 40 (c) 69 (d) 37
  17. 17.What is the average of 29, 26, 22 and 23? (a) 26 (b) 25 (c) 27 (d) 24
  18. 18.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 59 (b) 12 (c) 49 (d) 51
  19. 19.What is the average of 35, 36, 27 and 66? (a) 41 (b) 40 (c) 43 (d) 42
  20. 20.What is the average of 39, 62, 58 and 57? (a) 54 (b) 53 (c) 55 (d) 72
  21. 21.What is the average of all the whole numbers from 37 to 69? (a) 54 (b) 16 (c) 32 (d) 53
  22. 22.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 16 (b) 22 (c) 8 (d) 30
  23. 23.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 17 (b) 16 (c) 20 (d) 41
  24. 24.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 32 (b) 77 (c) 31 (d) 38
  25. 25.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 46 (c) 25 (d) 66
  26. 26.What is the average of 19, 14, 13 and 54? (a) 26 (b) 25 (c) 27 (d) 24
  27. 27.What is the average of all the whole numbers from 43 to 63? (a) 20 (b) 54 (c) 53 (d) 10
  28. 28.What is the average of 55, 69, 57 and 79? (a) 64 (b) 66 (c) 67 (d) 65
  29. 29.What is the average of 57, 64, 68, 69 and 62? (a) 65 (b) 80 (c) 63 (d) 64
  30. 30.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 31 (c) 18 (d) 17
  31. 31.What is the average of 60, 61, 54 and 69? (a) 62 (b) 61 (c) 60 (d) 63
  32. 32.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 48 (c) 44 (d) 5
  33. 33.What is the average of all the whole numbers from 51 to 57? (a) 55 (b) 6 (c) 3 (d) 54
  34. 34.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 88 (b) 32 (c) 40 (d) 64
  35. 35.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 30 (b) 59 (c) 33 (d) 4
  36. 36.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 68 (b) 60 (c) 108 (d) 56
  37. 37.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 48 (b) 23 (c) 13 (d) 14
  38. 38.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 60? (a) 36 (b) 66 (c) 60 (d) 90
  39. 39.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 11 (b) 18 (c) 37 (d) 12
  40. 40.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 72 (b) 62 (c) 118 (d) 54

Answer key

  1. 52
  2. 44
  3. 59
  4. 27
  5. 32
  6. 75
  7. 32
  8. 65
  9. 106
  10. 69
  11. 54
  12. 67
  13. 12
  14. 45
  15. 49
  16. 69
  17. 25
  18. 59
  19. 41
  20. 54
  21. 53
  22. 22
  23. 16
  24. 31
  25. 66
  26. 25
  27. 53
  28. 65
  29. 64
  30. 17
  31. 61
  32. 48
  33. 54
  34. 88
  35. 33
  36. 108
  37. 13
  38. 90
  39. 11
  40. 118

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