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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 393 · 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.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 68 (b) 50 (c) 20 (d) 52
  2. 2.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 70 (b) 88 (c) 64 (d) 30
  3. 3.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 12 (b) 13 (c) 16 (d) 33
  4. 4.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 88 (b) 64 (c) 40 (d) 56
  5. 5.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 69 (b) 54 (c) 49 (d) 25
  6. 6.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 64 (b) 62 (c) 70 (d) 10
  7. 7.What is the average of all the whole numbers from 15 to 49? (a) 34 (b) 33 (c) 17 (d) 32
  8. 8.What is the average of 13, 17, 38, 21 and 41? (a) 28 (b) 26 (c) 25 (d) 27
  9. 9.What is the average of 65, 75, 81 and 99? (a) 79 (b) 81 (c) 82 (d) 80
  10. 10.What is the average of 39, 61, 54, 61, 49 and 12? (a) 47 (b) 45 (c) 46 (d) 48
  11. 11.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 25 (c) 15 (d) 37
  12. 12.What is the average of all the whole numbers from 60 to 68? (a) 4 (b) 65 (c) 8 (d) 64
  13. 13.What is the average of all the whole numbers from 49 to 61? (a) 12 (b) 56 (c) 6 (d) 55
  14. 14.What is the average of all the whole numbers from 8 to 28? (a) 20 (b) 10 (c) 18 (d) 19
  15. 15.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 10 (b) 96 (c) 57 (d) 49
  16. 16.What is the average of 33, 9, 37, 34, 17 and 8? (a) 25 (b) 24 (c) 23 (d) 22
  17. 17.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 69 (b) 30 (c) 62 (d) 37
  18. 18.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 31 (c) 4 (d) 28
  19. 19.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 74 (c) 93 (d) 30
  20. 20.What is the average of all the whole numbers from 5 to 43? (a) 24 (b) 38 (c) 25 (d) 19
  21. 21.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 46 (c) 94 (d) 64
  22. 22.What is the average of 72, 57, 58, 82, 79 and 84? (a) 71 (b) 72 (c) 73 (d) 74
  23. 23.What is the average of 68, 52, 55, 66 and 84? (a) 66 (b) 65 (c) 64 (d) 67
  24. 24.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 33 (c) 34 (d) 37
  25. 25.What is the average of 33, 52, 33, 31, 35 and 56? (a) 41 (b) 39 (c) 40 (d) 48
  26. 26.What is the average of all the whole numbers from 38 to 74? (a) 57 (b) 56 (c) 36 (d) 18
  27. 27.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 32 (b) 40 (c) 83 (d) 31
  28. 28.What is the average of 63, 67, 77, 81 and 62? (a) 71 (b) 69 (c) 72 (d) 70
  29. 29.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 61 (b) 14 (c) 15 (d) 29
  30. 30.What is the average of 36, 28, 34, 31 and 41? (a) 36 (b) 34 (c) 33 (d) 35
  31. 31.What is the average of 61, 61, 85, 72, 88 and 83? (a) 76 (b) 74 (c) 90 (d) 75
  32. 32.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 98 (c) 40 (d) 41
  33. 33.What is the average of 8, 27, 36, 30 and 9? (a) 23 (b) 21 (c) 22 (d) 24
  34. 34.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 43 (b) 42 (c) 50 (d) 102
  35. 35.What is the average of 27, 16, 43 and 38? (a) 31 (b) 33 (c) 32 (d) 30
  36. 36.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 47 (b) 85 (c) 5 (d) 43
  37. 37.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 40 (c) 21 (d) 55
  38. 38.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 62 (c) 104 (d) 56
  39. 39.What is the average of all the whole numbers from 34 to 74? (a) 40 (b) 55 (c) 20 (d) 54
  40. 40.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 41 (b) 55 (c) 15 (d) 29

Answer key

  1. 68
  2. 88
  3. 12
  4. 88
  5. 69
  6. 70
  7. 32
  8. 26
  9. 80
  10. 46
  11. 37
  12. 64
  13. 55
  14. 18
  15. 57
  16. 23
  17. 62
  18. 31
  19. 74
  20. 24
  21. 94
  22. 72
  23. 65
  24. 33
  25. 40
  26. 56
  27. 31
  28. 70
  29. 14
  30. 34
  31. 75
  32. 40
  33. 22
  34. 42
  35. 31
  36. 47
  37. 55
  38. 104
  39. 54
  40. 41

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