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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 739 · 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 7 to 27? (a) 18 (b) 17 (c) 20 (d) 10
  2. 2.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 24 (b) 9 (c) 53 (d) 10
  3. 3.What is the average of 6, 19, 11, 8 and 56? (a) 21 (b) 20 (c) 19 (d) 25
  4. 4.What is the average of 19, 31, 31, 28, 43 and 28? (a) 31 (b) 30 (c) 29 (d) 36
  5. 5.What is the average of all the whole numbers from 34 to 72? (a) 54 (b) 53 (c) 38 (d) 19
  6. 6.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 30? (a) 63 (b) 86 (c) 30 (d) 37
  7. 7.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 52 (c) 12 (d) 37
  8. 8.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 16 (c) 15 (d) 60
  9. 9.What is the average of all the whole numbers from 58 to 72? (a) 65 (b) 66 (c) 7 (d) 14
  10. 10.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 36 (b) 78 (c) 56 (d) 29
  11. 11.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 115 (c) 63 (d) 66
  12. 12.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 44? (a) 44 (b) 68 (c) 50 (d) 30
  13. 13.What is the average of all the whole numbers from 5 to 21? (a) 14 (b) 13 (c) 16 (d) 8
  14. 14.What is the average of 11, 41, 14, 36 and 28? (a) 28 (b) 27 (c) 25 (d) 26
  15. 15.What is the average of 58, 57, 46, 57 and 17? (a) 47 (b) 48 (c) 46 (d) 49
  16. 16.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 73 (c) 49 (d) 28
  17. 17.What is the average of all the whole numbers from 45 to 79? (a) 17 (b) 63 (c) 34 (d) 62
  18. 18.What is the average of 30, 50, 35 and 37? (a) 40 (b) 37 (c) 38 (d) 39
  19. 19.What is the average of all the whole numbers from 6 to 40? (a) 34 (b) 17 (c) 23 (d) 24
  20. 20.What is the average of 63, 67, 73, 75, 61 and 63? (a) 67 (b) 66 (c) 68 (d) 69
  21. 21.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 48 (b) 16 (c) 36 (d) 34
  22. 22.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 39 (b) 4 (c) 42 (d) 77
  23. 23.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 57 (b) 29 (c) 32 (d) 4
  24. 24.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 8 (b) 36 (c) 34 (d) 40
  25. 25.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 41? (a) 97 (b) 63 (c) 48 (d) 41
  26. 26.What is the average of 30, 40, 45, 44, 57 and 42? (a) 43 (b) 42 (c) 45 (d) 44
  27. 27.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 30 (b) 105 (c) 50 (d) 31
  28. 28.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 3 (b) 51 (c) 4 (d) 24
  29. 29.What is the average of all the whole numbers from 26 to 66? (a) 40 (b) 20 (c) 46 (d) 47
  30. 30.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 4 (c) 24 (d) 21
  31. 31.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 30 (b) 26 (c) 23 (d) 50
  32. 32.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 64 (c) 85 (d) 35
  33. 33.What is the average of all the whole numbers from 20 to 60? (a) 39 (b) 41 (c) 40 (d) 20
  34. 34.What is the average of 40, 27, 10, 30, 15 and 28? (a) 25 (b) 24 (c) 26 (d) 30
  35. 35.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 20 (c) 40 (d) 38
  36. 36.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 35 (b) 7 (c) 24 (d) 18
  37. 37.What is the average of 48, 27, 40, 46, 48 and 7? (a) 37 (b) 35 (c) 38 (d) 36
  38. 38.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 86 (c) 30 (d) 62
  39. 39.What is the average of 92, 80, 81 and 67? (a) 81 (b) 80 (c) 82 (d) 79
  40. 40.What is the average of all the whole numbers from 6 to 18? (a) 12 (b) 11 (c) 6 (d) 13

Answer key

  1. 17
  2. 9
  3. 20
  4. 30
  5. 53
  6. 86
  7. 37
  8. 15
  9. 65
  10. 78
  11. 115
  12. 68
  13. 13
  14. 26
  15. 47
  16. 73
  17. 62
  18. 38
  19. 23
  20. 67
  21. 48
  22. 42
  23. 32
  24. 40
  25. 97
  26. 43
  27. 30
  28. 3
  29. 46
  30. 24
  31. 50
  32. 85
  33. 40
  34. 25
  35. 38
  36. 24
  37. 36
  38. 86
  39. 80
  40. 12

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