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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 229 · 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 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 26 (c) 50 (d) 30
  2. 2.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 32 (b) 62 (c) 12 (d) 42
  3. 3.What is the average of all the whole numbers from 24 to 42? (a) 33 (b) 18 (c) 34 (d) 9
  4. 4.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 16 (c) 52 (d) 40
  5. 5.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 17 (b) 16 (c) 43 (d) 21
  6. 6.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 56 (b) 46 (c) 20 (d) 41
  7. 7.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 50 (b) 42 (c) 82 (d) 37
  8. 8.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 65 (b) 23 (c) 22 (d) 31
  9. 9.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 69 (b) 25 (c) 49 (d) 93
  10. 10.What is the average of all the whole numbers from 5 to 23? (a) 18 (b) 15 (c) 9 (d) 14
  11. 11.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 35 (b) 104 (c) 34 (d) 50
  12. 12.What is the average of all the whole numbers from 41 to 79? (a) 19 (b) 61 (c) 60 (d) 38
  13. 13.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 8 (c) 50 (d) 46
  14. 14.What is the average of 37, 45, 30, 49 and 24? (a) 37 (b) 36 (c) 39 (d) 38
  15. 15.What is the average of all the whole numbers from 39 to 57? (a) 49 (b) 9 (c) 18 (d) 48
  16. 16.What is the average of 32, 9, 14, 21, 9 and 47? (a) 24 (b) 22 (c) 21 (d) 23
  17. 17.What is the average of all the whole numbers from 52 to 90? (a) 38 (b) 19 (c) 72 (d) 71
  18. 18.What is the average of all the whole numbers from 54 to 62? (a) 4 (b) 8 (c) 59 (d) 58
  19. 19.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 39 (c) 29 (d) 80
  20. 20.What is the average of 45, 46, 64, 65 and 30? (a) 51 (b) 49 (c) 52 (d) 50
  21. 21.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 24 (b) 61 (c) 57 (d) 77
  22. 22.What is the average of all the whole numbers from 35 to 55? (a) 20 (b) 46 (c) 45 (d) 10
  23. 23.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 10 (c) 9 (d) 14
  24. 24.What is the average of 17, 23, 25 and 47? (a) 29 (b) 30 (c) 28 (d) 27
  25. 25.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 45? (a) 69 (b) 51 (c) 45 (d) 30
  26. 26.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 40 (c) 15 (d) 31
  27. 27.What is the average of all the whole numbers from 18 to 28? (a) 5 (b) 10 (c) 24 (d) 23
  28. 28.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 40 (b) 28 (c) 52 (d) 16
  29. 29.What is the average of 28, 39, 47 and 14? (a) 31 (b) 34 (c) 33 (d) 32
  30. 30.What is the average of all the whole numbers from 51 to 71? (a) 20 (b) 61 (c) 10 (d) 62
  31. 31.What is the average of 78, 64, 65, 81, 76 and 56? (a) 69 (b) 71 (c) 84 (d) 70
  32. 32.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 9 (b) 8 (c) 13 (d) 27
  33. 33.What is the average of all the whole numbers from 18 to 26? (a) 4 (b) 8 (c) 22 (d) 23
  34. 34.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 5 (c) 32 (d) 36
  35. 35.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 20 (c) 77 (d) 65
  36. 36.What is the average of 17, 24, 32, 38 and 34? (a) 28 (b) 29 (c) 31 (d) 30
  37. 37.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 53? (a) 40 (b) 88 (c) 53 (d) 58
  38. 38.What is the average of 26, 13, 18 and 35? (a) 24 (b) 23 (c) 22 (d) 25
  39. 39.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 15 (b) 36 (c) 27 (d) 24
  40. 40.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 35 (b) 42 (c) 16 (d) 23

Answer key

  1. 50
  2. 42
  3. 33
  4. 52
  5. 16
  6. 56
  7. 82
  8. 22
  9. 69
  10. 14
  11. 34
  12. 60
  13. 50
  14. 37
  15. 48
  16. 22
  17. 71
  18. 58
  19. 29
  20. 50
  21. 77
  22. 45
  23. 9
  24. 28
  25. 69
  26. 40
  27. 23
  28. 40
  29. 32
  30. 61
  31. 70
  32. 8
  33. 22
  34. 36
  35. 77
  36. 29
  37. 88
  38. 23
  39. 36
  40. 35

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