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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 462 · 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 60 to 82? (a) 22 (b) 11 (c) 72 (d) 71
  2. 2.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 100 (c) 25 (d) 24
  3. 3.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 10 (b) 25 (c) 17 (d) 32
  4. 4.What is the average of 15, 14, 35, 42, 39 and 29? (a) 30 (b) 29 (c) 31 (d) 28
  5. 5.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 99 (b) 22 (c) 47 (d) 23
  6. 6.What is the average of 48, 73, 75, 73 and 46? (a) 62 (b) 64 (c) 65 (d) 63
  7. 7.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 44 (b) 100 (c) 43 (d) 49
  8. 8.What is the average of all the whole numbers from 17 to 33? (a) 16 (b) 25 (c) 26 (d) 8
  9. 9.What is the average of 47, 34, 50 and 49? (a) 45 (b) 60 (c) 46 (d) 44
  10. 10.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 32 (b) 26 (c) 15 (d) 43
  11. 11.What is the average of all the whole numbers from 16 to 24? (a) 4 (b) 8 (c) 20 (d) 21
  12. 12.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 59 (b) 31 (c) 27 (d) 36
  13. 13.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) 43 (c) 87 (d) 36
  14. 14.What is the average of all the whole numbers from 31 to 61? (a) 47 (b) 15 (c) 46 (d) 30
  15. 15.What is the average of 32, 39, 27 and 46? (a) 35 (b) 36 (c) 37 (d) 48
  16. 16.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 93 (b) 35 (c) 79 (d) 49
  17. 17.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 17 (b) 16 (c) 28 (d) 60
  18. 18.What is the average of 36, 33, 44, 48, 32 and 77? (a) 54 (b) 46 (c) 45 (d) 44
  19. 19.What is the average of all the whole numbers from 32 to 62? (a) 48 (b) 15 (c) 47 (d) 30
  20. 20.What is the average of all the whole numbers from 10 to 18? (a) 8 (b) 4 (c) 14 (d) 15
  21. 21.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 24 (c) 40 (d) 52
  22. 22.What is the average of 44, 30, 50, 26, 28 and 62? (a) 48 (b) 40 (c) 39 (d) 41
  23. 23.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 91 (b) 43 (c) 49 (d) 54
  24. 24.What is the average of all the whole numbers from 25 to 51? (a) 38 (b) 26 (c) 13 (d) 39
  25. 25.What is the average of all the whole numbers from 7 to 23? (a) 16 (b) 14 (c) 8 (d) 15
  26. 26.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 76 (b) 49 (c) 41 (d) 34
  27. 27.What is the average of all the whole numbers from 23 to 45? (a) 22 (b) 35 (c) 11 (d) 34
  28. 28.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 16 (b) 17 (c) 54 (d) 26
  29. 29.What is the average of all the whole numbers from 59 to 75? (a) 68 (b) 67 (c) 8 (d) 16
  30. 30.What is the average of 85, 64, 66, 81, 70 and 84? (a) 90 (b) 76 (c) 75 (d) 74
  31. 31.What is the average of 24, 26, 33, 24 and 58? (a) 34 (b) 33 (c) 32 (d) 35
  32. 32.What is the average of all the whole numbers from 6 to 42? (a) 18 (b) 36 (c) 25 (d) 24
  33. 33.What is the average of all the whole numbers from 34 to 62? (a) 28 (b) 49 (c) 14 (d) 48
  34. 34.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 48 (b) 16 (c) 25 (d) 39
  35. 35.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 15 (c) 11 (d) 31
  36. 36.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 45 (c) 15 (d) 36
  37. 37.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) 4 (b) 73 (c) 34 (d) 5
  38. 38.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 14 (b) 62 (c) 44 (d) 32
  39. 39.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 39 (c) 63 (d) 88
  40. 40.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 60 (c) 18 (d) 44

Answer key

  1. 71
  2. 24
  3. 25
  4. 29
  5. 22
  6. 63
  7. 43
  8. 25
  9. 45
  10. 43
  11. 20
  12. 59
  13. 36
  14. 46
  15. 36
  16. 79
  17. 16
  18. 45
  19. 47
  20. 14
  21. 52
  22. 40
  23. 91
  24. 38
  25. 15
  26. 76
  27. 34
  28. 16
  29. 67
  30. 75
  31. 33
  32. 24
  33. 48
  34. 39
  35. 11
  36. 45
  37. 4
  38. 44
  39. 88
  40. 60

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