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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 203 · 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 48, 52, 47, 45 and 8? (a) 41 (b) 39 (c) 40 (d) 50
  2. 2.What is the average of all the whole numbers from 47 to 65? (a) 56 (b) 9 (c) 57 (d) 18
  3. 3.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 47 (b) 79 (c) 43 (d) 40
  4. 4.What is the average of 49, 48, 42, 57 and 14? (a) 42 (b) 44 (c) 43 (d) 41
  5. 5.What is the average of 39, 38, 50 and 41? (a) 41 (b) 42 (c) 56 (d) 43
  6. 6.What is the average of all the whole numbers from 14 to 52? (a) 19 (b) 38 (c) 34 (d) 33
  7. 7.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 56 (b) 97 (c) 8 (d) 49
  8. 8.What is the average of 65, 86, 74, 84 and 81? (a) 77 (b) 80 (c) 78 (d) 79
  9. 9.What is the average of all the whole numbers from 15 to 53? (a) 35 (b) 38 (c) 19 (d) 34
  10. 10.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 8 (b) 28 (c) 7 (d) 59
  11. 11.What is the average of all the whole numbers from 28 to 54? (a) 13 (b) 41 (c) 42 (d) 26
  12. 12.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 56 (b) 94 (c) 48 (d) 10
  13. 13.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 28 (b) 49 (c) 46 (d) 25
  14. 14.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 77 (b) 28 (c) 37 (d) 29
  15. 15.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) 24 (b) 38 (c) 41 (d) 59
  16. 16.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 53? (a) 53 (b) 60 (c) 49 (d) 95
  17. 17.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 54 (b) 9 (c) 10 (d) 25
  18. 18.What is the average of 23, 20, 39, 19 and 34? (a) 26 (b) 28 (c) 29 (d) 27
  19. 19.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 57 (b) 34 (c) 29 (d) 6
  20. 20.What is the average of 70, 68, 47 and 43? (a) 56 (b) 58 (c) 57 (d) 76
  21. 21.What is the average of 60, 53, 45, 64, 40 and 44? (a) 52 (b) 50 (c) 53 (d) 51
  22. 22.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 30 (c) 50 (d) 28
  23. 23.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 40 (b) 18 (c) 26 (d) 24
  24. 24.What is the average of all the whole numbers from 47 to 61? (a) 14 (b) 7 (c) 55 (d) 54
  25. 25.What is the average of all the whole numbers from 14 to 54? (a) 34 (b) 40 (c) 20 (d) 35
  26. 26.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 69 (c) 12 (d) 13
  27. 27.What is the average of 39, 37, 61, 35 and 68? (a) 49 (b) 60 (c) 48 (d) 47
  28. 28.What is the average of 61, 41, 63 and 39? (a) 68 (b) 50 (c) 51 (d) 52
  29. 29.What is the average of all the whole numbers from 13 to 19? (a) 6 (b) 3 (c) 17 (d) 16
  30. 30.What is the average of all the whole numbers from 29 to 53? (a) 12 (b) 24 (c) 42 (d) 41
  31. 31.What is the average of all the whole numbers from 25 to 57? (a) 32 (b) 41 (c) 42 (d) 16
  32. 32.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 21 (c) 20 (d) 85
  33. 33.What is the average of 28, 24, 14 and 14? (a) 21 (b) 22 (c) 20 (d) 19
  34. 34.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 40 (b) 83 (c) 44 (d) 79
  35. 35.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 65 (b) 25 (c) 26 (d) 32
  36. 36.What is the average of 26, 43, 47, 44 and 20? (a) 35 (b) 36 (c) 37 (d) 45
  37. 37.What is the average of 19, 36, 43 and 30? (a) 32 (b) 33 (c) 34 (d) 31
  38. 38.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 28 (b) 33 (c) 37 (d) 57
  39. 39.What is the average of 19, 14, 31, 38, 41 and 19? (a) 27 (b) 28 (c) 26 (d) 29
  40. 40.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 23 (b) 24 (c) 39 (d) 82

Answer key

  1. 40
  2. 56
  3. 79
  4. 42
  5. 42
  6. 33
  7. 56
  8. 78
  9. 34
  10. 7
  11. 41
  12. 56
  13. 49
  14. 28
  15. 59
  16. 95
  17. 9
  18. 27
  19. 34
  20. 57
  21. 51
  22. 50
  23. 40
  24. 54
  25. 34
  26. 12
  27. 48
  28. 51
  29. 16
  30. 41
  31. 41
  32. 20
  33. 20
  34. 79
  35. 25
  36. 36
  37. 32
  38. 57
  39. 27
  40. 23

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