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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 960 · 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 20 to 42? (a) 32 (b) 22 (c) 11 (d) 31
  2. 2.What is the average of 27, 24, 20 and 21? (a) 24 (b) 25 (c) 23 (d) 22
  3. 3.What is the average of all the whole numbers from 51 to 71? (a) 61 (b) 20 (c) 62 (d) 10
  4. 4.What is the average of all the whole numbers from 54 to 74? (a) 65 (b) 20 (c) 64 (d) 10
  5. 5.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 44 (b) 93 (c) 15 (d) 14
  6. 6.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 78 (b) 48 (c) 43 (d) 40
  7. 7.What is the average of 68, 64, 81, 88, 66 and 101? (a) 78 (b) 79 (c) 77 (d) 80
  8. 8.What is the average of all the whole numbers from 29 to 37? (a) 34 (b) 33 (c) 4 (d) 8
  9. 9.What is the average of 52, 37, 51 and 16? (a) 38 (b) 52 (c) 40 (d) 39
  10. 10.What is the average of 41, 19, 36, 23 and 11? (a) 28 (b) 25 (c) 27 (d) 26
  11. 11.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 63 (c) 36 (d) 35
  12. 12.What is the average of 31, 15, 33, 24, 18 and 35? (a) 25 (b) 26 (c) 28 (d) 27
  13. 13.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 103 (c) 55 (d) 60
  14. 14.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 82 (b) 46 (c) 40 (d) 50
  15. 15.What is the average of 18, 36, 11 and 31? (a) 25 (b) 32 (c) 23 (d) 24
  16. 16.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 33 (b) 32 (c) 103 (d) 50
  17. 17.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 18 (b) 61 (c) 47 (d) 32
  18. 18.What is the average of 61, 61, 33 and 33? (a) 46 (b) 49 (c) 48 (d) 47
  19. 19.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 18 (c) 17 (d) 32
  20. 20.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 31 (c) 30 (d) 51
  21. 21.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 21 (b) 100 (c) 48 (d) 20
  22. 22.What is the average of 23, 13, 19, 21, 29 and 33? (a) 25 (b) 24 (c) 23 (d) 22
  23. 23.What is the average of 27, 31, 35, 18 and 9? (a) 25 (b) 30 (c) 23 (d) 24
  24. 24.What is the average of all the whole numbers from 39 to 79? (a) 20 (b) 59 (c) 60 (d) 40
  25. 25.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 7 (c) 19 (d) 8
  26. 26.What is the average of all the whole numbers from 28 to 34? (a) 3 (b) 31 (c) 6 (d) 32
  27. 27.What is the average of 53, 65, 68 and 66? (a) 62 (b) 64 (c) 63 (d) 84
  28. 28.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) 37 (c) 12 (d) 52
  29. 29.What is the average of all the whole numbers from 12 to 38? (a) 13 (b) 24 (c) 26 (d) 25
  30. 30.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 25 (c) 83 (d) 26
  31. 31.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 47 (b) 5 (c) 93 (d) 51
  32. 32.What is the average of 76, 50, 52 and 74? (a) 84 (b) 63 (c) 64 (d) 62
  33. 33.What is the average of all the whole numbers from 26 to 40? (a) 33 (b) 34 (c) 14 (d) 7
  34. 34.What is the average of all the whole numbers from 7 to 13? (a) 11 (b) 3 (c) 6 (d) 10
  35. 35.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 3 (b) 40 (c) 2 (d) 18
  36. 36.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 99 (c) 7 (d) 56
  37. 37.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 8 (b) 51 (c) 47 (d) 45
  38. 38.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 91 (c) 68 (d) 24
  39. 39.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 27 (c) 5 (d) 14
  40. 40.What is the average of all the whole numbers from 29 to 41? (a) 6 (b) 35 (c) 36 (d) 12

Answer key

  1. 31
  2. 23
  3. 61
  4. 64
  5. 14
  6. 78
  7. 78
  8. 33
  9. 39
  10. 26
  11. 63
  12. 26
  13. 103
  14. 82
  15. 24
  16. 32
  17. 47
  18. 47
  19. 17
  20. 51
  21. 20
  22. 23
  23. 24
  24. 59
  25. 7
  26. 31
  27. 63
  28. 37
  29. 25
  30. 25
  31. 51
  32. 63
  33. 33
  34. 10
  35. 2
  36. 56
  37. 51
  38. 68
  39. 18
  40. 35

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