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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 604 · 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 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 49 (b) 32 (c) 74 (d) 39
  2. 2.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 49 (b) 22 (c) 3 (d) 2
  3. 3.What is the average of all the whole numbers from 31 to 63? (a) 32 (b) 47 (c) 48 (d) 16
  4. 4.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 27 (c) 80 (d) 56
  5. 5.What is the average of 31, 26, 53, 34 and 56? (a) 39 (b) 50 (c) 41 (d) 40
  6. 6.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 36 (b) 14 (c) 46 (d) 24
  7. 7.What is the average of all the whole numbers from 36 to 48? (a) 42 (b) 12 (c) 6 (d) 43
  8. 8.What is the average of all the whole numbers from 9 to 41? (a) 32 (b) 16 (c) 25 (d) 26
  9. 9.What is the average of 61, 69, 72, 60, 78 and 80? (a) 69 (b) 71 (c) 70 (d) 84
  10. 10.What is the average of 47, 54, 44 and 43? (a) 47 (b) 46 (c) 49 (d) 48
  11. 11.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 53 (b) 93 (c) 47 (d) 7
  12. 12.What is the average of all the whole numbers from 36 to 52? (a) 8 (b) 44 (c) 16 (d) 45
  13. 13.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 14 (b) 44 (c) 23 (d) 35
  14. 14.What is the average of all the whole numbers from 42 to 64? (a) 22 (b) 53 (c) 11 (d) 54
  15. 15.What is the average of 68, 77, 64, 63 and 93? (a) 75 (b) 72 (c) 74 (d) 73
  16. 16.What is the average of 36, 43, 34, 42 and 15? (a) 33 (b) 35 (c) 36 (d) 34
  17. 17.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 70 (b) 12 (c) 61 (d) 64
  18. 18.What is the average of all the whole numbers from 42 to 72? (a) 30 (b) 58 (c) 57 (d) 15
  19. 19.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 30 (c) 46 (d) 18
  20. 20.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 23 (c) 17 (d) 32
  21. 21.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 49 (b) 14 (c) 96 (d) 61
  22. 22.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 12 (b) 53 (c) 43 (d) 84
  23. 23.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 36 (c) 73 (d) 31
  24. 24.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 25 (b) 44 (c) 24 (d) 43
  25. 25.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) 26 (b) 74 (c) 27 (d) 36
  26. 26.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 70 (b) 49 (c) 42 (d) 35
  27. 27.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 5 (c) 18 (d) 4
  28. 28.What is the average of all the whole numbers from 41 to 73? (a) 32 (b) 57 (c) 58 (d) 16
  29. 29.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 21 (c) 91 (d) 65
  30. 30.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 24 (b) 58 (c) 37 (d) 71
  31. 31.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 38 (b) 30 (c) 31 (d) 78
  32. 32.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 59 (c) 25 (d) 24
  33. 33.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 43 (c) 92 (d) 56
  34. 34.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 62 (b) 45 (c) 33 (d) 16
  35. 35.What is the average of all the whole numbers from 55 to 75? (a) 10 (b) 20 (c) 66 (d) 65
  36. 36.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 30 (b) 57 (c) 82 (d) 62
  37. 37.What is the average of 40, 33, 41 and 10? (a) 33 (b) 30 (c) 31 (d) 32
  38. 38.What is the average of all the whole numbers from 48 to 54? (a) 52 (b) 3 (c) 51 (d) 6
  39. 39.What is the average of 7, 15, 25, 34, 16 and 29? (a) 20 (b) 21 (c) 22 (d) 23
  40. 40.What is the average of all the whole numbers from 23 to 35? (a) 12 (b) 6 (c) 29 (d) 30

Answer key

  1. 74
  2. 2
  3. 47
  4. 80
  5. 40
  6. 36
  7. 42
  8. 25
  9. 70
  10. 47
  11. 53
  12. 44
  13. 35
  14. 53
  15. 73
  16. 34
  17. 70
  18. 57
  19. 46
  20. 23
  21. 61
  22. 53
  23. 30
  24. 44
  25. 26
  26. 70
  27. 4
  28. 57
  29. 65
  30. 58
  31. 30
  32. 24
  33. 92
  34. 45
  35. 65
  36. 82
  37. 31
  38. 51
  39. 21
  40. 29

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