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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 552 · 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 64, 46, 44, 64 and 57? (a) 54 (b) 56 (c) 57 (d) 55
  2. 2.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 14 (c) 66 (d) 46
  3. 3.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 52 (c) 32 (d) 59
  4. 4.What is the average of all the whole numbers from 10 to 22? (a) 12 (b) 6 (c) 16 (d) 17
  5. 5.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 49 (b) 103 (c) 30 (d) 29
  6. 6.What is the average of 44, 46, 33, 35, 46 and 6? (a) 34 (b) 35 (c) 36 (d) 42
  7. 7.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 31 (b) 64 (c) 23 (d) 24
  8. 8.What is the average of 51, 79, 69, 70, 70 and 51? (a) 78 (b) 66 (c) 65 (d) 64
  9. 9.What is the average of 26, 23, 33 and 14? (a) 25 (b) 32 (c) 23 (d) 24
  10. 10.What is the average of all the whole numbers from 25 to 39? (a) 33 (b) 7 (c) 14 (d) 32
  11. 11.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 50 (b) 68 (c) 21 (d) 97
  12. 12.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 42 (b) 36 (c) 12 (d) 33
  13. 13.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 20 (c) 30 (d) 46
  14. 14.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 36 (b) 58 (c) 82 (d) 52
  15. 15.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 60 (c) 46 (d) 16
  16. 16.What is the average of 64, 62, 71, 76 and 92? (a) 72 (b) 73 (c) 75 (d) 74
  17. 17.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 13 (c) 59 (d) 14
  18. 18.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) 14 (b) 61 (c) 96 (d) 49
  19. 19.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 10 (b) 75 (c) 35 (d) 11
  20. 20.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 42 (b) 12 (c) 82 (d) 52
  21. 21.What is the average of 79, 65, 78 and 98? (a) 80 (b) 79 (c) 82 (d) 81
  22. 22.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 13 (c) 20 (d) 29
  23. 23.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 69 (c) 25 (d) 57
  24. 24.What is the average of 60, 72, 67 and 93? (a) 74 (b) 75 (c) 73 (d) 72
  25. 25.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 17 (c) 24 (d) 37
  26. 26.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 52? (a) 67 (b) 52 (c) 55 (d) 18
  27. 27.What is the average of 25, 22, 25, 51, 45 and 48? (a) 37 (b) 38 (c) 35 (d) 36
  28. 28.What is the average of 23, 50, 48, 28, 44 and 35? (a) 37 (b) 40 (c) 39 (d) 38
  29. 29.What is the average of 29, 42, 29 and 48? (a) 36 (b) 38 (c) 37 (d) 39
  30. 30.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 7 (b) 21 (c) 27 (d) 41
  31. 31.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 28 (b) 26 (c) 12 (d) 36
  32. 32.What is the average of 49, 54, 44 and 69? (a) 54 (b) 55 (c) 72 (d) 53
  33. 33.What is the average of all the whole numbers from 42 to 58? (a) 51 (b) 16 (c) 50 (d) 8
  34. 34.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 39 (b) 15 (c) 19 (d) 14
  35. 35.What is the average of all the whole numbers from 58 to 82? (a) 71 (b) 12 (c) 24 (d) 70
  36. 36.What is the average of 39, 37, 22 and 46? (a) 48 (b) 35 (c) 37 (d) 36
  37. 37.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 23 (b) 41 (c) 43 (d) 21
  38. 38.What is the average of all the whole numbers from 13 to 41? (a) 27 (b) 28 (c) 14 (d) 26
  39. 39.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 20 (b) 47 (c) 90 (d) 63
  40. 40.What is the average of 78, 61, 62, 61 and 68? (a) 68 (b) 65 (c) 66 (d) 67

Answer key

  1. 55
  2. 46
  3. 52
  4. 16
  5. 29
  6. 35
  7. 23
  8. 65
  9. 24
  10. 32
  11. 68
  12. 42
  13. 46
  14. 82
  15. 60
  16. 73
  17. 13
  18. 61
  19. 10
  20. 52
  21. 80
  22. 29
  23. 57
  24. 73
  25. 37
  26. 67
  27. 36
  28. 38
  29. 37
  30. 27
  31. 36
  32. 54
  33. 50
  34. 14
  35. 70
  36. 36
  37. 41
  38. 27
  39. 63
  40. 66

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