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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 412 · 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.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 15 (c) 22 (d) 10
  2. 2.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 27 (b) 26 (c) 36 (d) 74
  3. 3.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 21 (b) 67 (c) 52 (d) 49
  4. 4.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 60 (b) 45 (c) 40 (d) 25
  5. 5.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 54 (b) 80 (c) 42 (d) 16
  6. 6.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 13 (b) 51 (c) 24 (d) 12
  7. 7.What is the average of all the whole numbers from 53 to 69? (a) 62 (b) 61 (c) 16 (d) 8
  8. 8.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 19 (b) 44 (c) 93 (d) 20
  9. 9.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 41 (b) 59 (c) 38 (d) 24
  10. 10.What is the average of 64, 70, 46 and 52? (a) 59 (b) 60 (c) 57 (d) 58
  11. 11.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 13 (b) 12 (c) 89 (d) 42
  12. 12.What is the average of all the whole numbers from 42 to 58? (a) 8 (b) 51 (c) 50 (d) 16
  13. 13.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 104 (b) 23 (c) 50 (d) 22
  14. 14.A batter has an average of 60 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 24 (b) 84 (c) 66 (d) 63
  15. 15.What is the average of all the whole numbers from 7 to 13? (a) 11 (b) 10 (c) 3 (d) 6
  16. 16.What is the average of 58, 80, 64, 62, 58 and 74? (a) 65 (b) 66 (c) 68 (d) 67
  17. 17.What is the average of all the whole numbers from 12 to 22? (a) 17 (b) 18 (c) 5 (d) 10
  18. 18.What is the average of 52, 53, 39, 43, 46 and 55? (a) 48 (b) 49 (c) 47 (d) 50
  19. 19.What is the average of 32, 27, 16 and 17? (a) 22 (b) 25 (c) 23 (d) 24
  20. 20.What is the average of all the whole numbers from 20 to 38? (a) 9 (b) 29 (c) 18 (d) 30
  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) 40 (b) 52 (c) 34 (d) 24
  22. 22.What is the average of all the whole numbers from 12 to 40? (a) 28 (b) 26 (c) 27 (d) 14
  23. 23.What is the average of 29, 48, 51 and 32? (a) 42 (b) 40 (c) 39 (d) 41
  24. 24.What is the average of all the whole numbers from 14 to 34? (a) 24 (b) 25 (c) 10 (d) 20
  25. 25.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 12 (c) 9 (d) 10
  26. 26.What is the average of 50, 43, 48, 44, 65 and 62? (a) 53 (b) 52 (c) 54 (d) 51
  27. 27.What is the average of 72, 69, 85 and 82? (a) 76 (b) 78 (c) 77 (d) 79
  28. 28.What is the average of 77, 73, 75, 75 and 20? (a) 64 (b) 63 (c) 80 (d) 65
  29. 29.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 65 (c) 30 (d) 75
  30. 30.What is the average of all the whole numbers from 52 to 70? (a) 62 (b) 9 (c) 61 (d) 18
  31. 31.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 35 (c) 15 (d) 44
  32. 32.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 51 (b) 23 (c) 4 (d) 3
  33. 33.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 54? (a) 54 (b) 56 (c) 66 (d) 14
  34. 34.What is the average of all the whole numbers from 22 to 54? (a) 32 (b) 16 (c) 39 (d) 38
  35. 35.What is the average of 29, 57, 42, 39, 37 and 54? (a) 44 (b) 45 (c) 43 (d) 42
  36. 36.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 34 (b) 28 (c) 27 (d) 48
  37. 37.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 30 (b) 60 (c) 65 (d) 85
  38. 38.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 84 (c) 35 (d) 63
  39. 39.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 60 (c) 72 (d) 16
  40. 40.What is the average of all the whole numbers from 54 to 94? (a) 75 (b) 74 (c) 20 (d) 40

Answer key

  1. 22
  2. 26
  3. 67
  4. 60
  5. 54
  6. 12
  7. 61
  8. 19
  9. 59
  10. 58
  11. 12
  12. 50
  13. 22
  14. 84
  15. 10
  16. 66
  17. 17
  18. 48
  19. 23
  20. 29
  21. 52
  22. 26
  23. 40
  24. 24
  25. 9
  26. 52
  27. 77
  28. 64
  29. 65
  30. 61
  31. 44
  32. 3
  33. 66
  34. 38
  35. 43
  36. 48
  37. 85
  38. 84
  39. 72
  40. 74

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