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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 780 · 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 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 32 (c) 21 (d) 25
  2. 2.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 12 (c) 15 (d) 11
  3. 3.What is the average of 15, 22, 11 and 36? (a) 28 (b) 20 (c) 21 (d) 22
  4. 4.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 26 (c) 85 (d) 25
  5. 5.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 59 (b) 30 (c) 35 (d) 32
  6. 6.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 16 (b) 53 (c) 25 (d) 17
  7. 7.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 95 (b) 20 (c) 65 (d) 50
  8. 8.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 58 (b) 24 (c) 55 (d) 76
  9. 9.What is the average of 51, 80, 67, 78, 79 and 35? (a) 65 (b) 66 (c) 78 (d) 64
  10. 10.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 4 (b) 17 (c) 33 (d) 20
  11. 11.What is the average of all the whole numbers from 36 to 54? (a) 46 (b) 18 (c) 45 (d) 9
  12. 12.What is the average of all the whole numbers from 55 to 69? (a) 7 (b) 14 (c) 62 (d) 63
  13. 13.What is the average of 81, 74, 60 and 81? (a) 76 (b) 73 (c) 74 (d) 75
  14. 14.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 69 (b) 63 (c) 105 (d) 48
  15. 15.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 91 (b) 7 (c) 46 (d) 52
  16. 16.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 19 (b) 39 (c) 81 (d) 18
  17. 17.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 56 (c) 16 (d) 68
  18. 18.What is the average of 51, 57, 40 and 56? (a) 68 (b) 52 (c) 51 (d) 50
  19. 19.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 20 (c) 86 (d) 61
  20. 20.What is the average of 39, 45, 32 and 8? (a) 32 (b) 33 (c) 31 (d) 30
  21. 21.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 41 (b) 24 (c) 21 (d) 38
  22. 22.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 24 (b) 66 (c) 84 (d) 72
  23. 23.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 48 (c) 83 (d) 45
  24. 24.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 20 (b) 32 (c) 67 (d) 21
  25. 25.What is the average of 25, 20, 22, 33 and 75? (a) 34 (b) 35 (c) 37 (d) 36
  26. 26.What is the average of all the whole numbers from 15 to 41? (a) 29 (b) 26 (c) 28 (d) 13
  27. 27.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 18 (b) 36 (c) 50 (d) 34
  28. 28.What is the average of all the whole numbers from 7 to 13? (a) 10 (b) 11 (c) 6 (d) 3
  29. 29.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 10 (d) 50
  30. 30.What is the average of 53, 72, 65, 50, 58 and 92? (a) 78 (b) 66 (c) 64 (d) 65
  31. 31.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 83 (c) 40 (d) 51
  32. 32.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 18 (b) 27 (c) 57 (d) 19
  33. 33.What is the average of all the whole numbers from 18 to 26? (a) 4 (b) 23 (c) 8 (d) 22
  34. 34.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 30 (b) 67 (c) 87 (d) 62
  35. 35.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 103 (b) 50 (c) 29 (d) 30
  36. 36.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 111 (b) 55 (c) 63 (d) 64
  37. 37.What is the average of all the whole numbers from 52 to 60? (a) 56 (b) 8 (c) 4 (d) 57
  38. 38.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 18 (c) 35 (d) 23
  39. 39.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 16 (b) 82 (c) 55 (d) 43
  40. 40.What is the average of all the whole numbers from 55 to 91? (a) 74 (b) 73 (c) 36 (d) 18

Answer key

  1. 32
  2. 11
  3. 21
  4. 25
  5. 59
  6. 16
  7. 65
  8. 76
  9. 65
  10. 20
  11. 45
  12. 62
  13. 74
  14. 105
  15. 52
  16. 18
  17. 68
  18. 51
  19. 61
  20. 31
  21. 41
  22. 84
  23. 83
  24. 20
  25. 35
  26. 28
  27. 50
  28. 10
  29. 56
  30. 65
  31. 83
  32. 18
  33. 22
  34. 87
  35. 29
  36. 111
  37. 56
  38. 23
  39. 55
  40. 73

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