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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 933 · 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.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 25 (b) 20 (c) 35 (d) 40
  2. 2.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 74 (c) 51 (d) 16
  3. 3.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 37 (c) 38 (d) 46
  4. 4.What is the average of 82, 62, 66 and 62? (a) 68 (b) 67 (c) 70 (d) 69
  5. 5.What is the average of 56, 47, 76, 66, 49 and 72? (a) 61 (b) 60 (c) 63 (d) 62
  6. 6.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 33 (b) 21 (c) 15 (d) 39
  7. 7.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 43 (c) 67 (d) 27
  8. 8.What is the average of 25, 15, 33, 26 and 31? (a) 26 (b) 28 (c) 25 (d) 27
  9. 9.What is the average of all the whole numbers from 37 to 53? (a) 45 (b) 16 (c) 8 (d) 46
  10. 10.What is the average of all the whole numbers from 13 to 23? (a) 19 (b) 10 (c) 18 (d) 5
  11. 11.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 57 (b) 15 (c) 48 (d) 45
  12. 12.What is the average of 72, 54, 65, 68 and 76? (a) 68 (b) 69 (c) 66 (d) 67
  13. 13.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 14 (d) 40
  14. 14.What is the average of 86, 60, 84, 57, 63 and 82? (a) 74 (b) 71 (c) 73 (d) 72
  15. 15.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 37 (c) 20 (d) 38
  16. 16.What is the average of all the whole numbers from 7 to 29? (a) 18 (b) 22 (c) 11 (d) 19
  17. 17.What is the average of 90, 67, 90 and 53? (a) 75 (b) 76 (c) 100 (d) 74
  18. 18.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 28 (b) 13 (c) 22 (d) 37
  19. 19.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 79 (c) 54 (d) 30
  20. 20.What is the average of 30, 21, 30, 16 and 33? (a) 26 (b) 27 (c) 28 (d) 25
  21. 21.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 25 (b) 87 (c) 66 (d) 46
  22. 22.What is the average of 19, 43, 19 and 47? (a) 34 (b) 32 (c) 33 (d) 31
  23. 23.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 73 (b) 39 (c) 20 (d) 54
  24. 24.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 42 (b) 86 (c) 30 (d) 31
  25. 25.What is the average of all the whole numbers from 13 to 33? (a) 20 (b) 10 (c) 24 (d) 23
  26. 26.What is the average of all the whole numbers from 30 to 66? (a) 36 (b) 49 (c) 48 (d) 18
  27. 27.What is the average of 18, 8, 27, 16, 34 and 29? (a) 24 (b) 21 (c) 23 (d) 22
  28. 28.What is the average of all the whole numbers from 20 to 56? (a) 36 (b) 18 (c) 39 (d) 38
  29. 29.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 9 (b) 57 (c) 27 (d) 10
  30. 30.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 69 (b) 53 (c) 49 (d) 24
  31. 31.What is the average of 51, 43, 46 and 16? (a) 38 (b) 39 (c) 52 (d) 40
  32. 32.What is the average of 21, 26, 26, 35 and 32? (a) 35 (b) 29 (c) 27 (d) 28
  33. 33.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 38 (b) 33 (c) 77 (d) 34
  34. 34.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 13 (b) 30 (c) 63 (d) 12
  35. 35.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 29 (c) 101 (d) 80
  36. 36.What is the average of 20, 47, 39, 24, 29 and 45? (a) 35 (b) 34 (c) 33 (d) 36
  37. 37.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 35 (c) 33 (d) 32
  38. 38.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 20 (c) 53 (d) 52
  39. 39.What is the average of 29, 31, 50, 37 and 48? (a) 38 (b) 41 (c) 39 (d) 40
  40. 40.What is the average of 76, 78, 79, 62, 62 and 69? (a) 71 (b) 72 (c) 70 (d) 73

Answer key

  1. 40
  2. 51
  3. 37
  4. 68
  5. 61
  6. 33
  7. 67
  8. 26
  9. 45
  10. 18
  11. 57
  12. 67
  13. 40
  14. 72
  15. 37
  16. 18
  17. 75
  18. 37
  19. 79
  20. 26
  21. 66
  22. 32
  23. 54
  24. 30
  25. 23
  26. 48
  27. 22
  28. 38
  29. 9
  30. 69
  31. 39
  32. 28
  33. 33
  34. 12
  35. 101
  36. 34
  37. 32
  38. 52
  39. 39
  40. 71

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