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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 755 · 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 38 to 76? (a) 58 (b) 19 (c) 38 (d) 57
  2. 2.What is the average of 35, 12, 33, 27, 8 and 5? (a) 21 (b) 24 (c) 19 (d) 20
  3. 3.What is the average of 68, 69, 46 and 37? (a) 54 (b) 55 (c) 57 (d) 56
  4. 4.What is the average of 30, 27, 39 and 68? (a) 40 (b) 41 (c) 43 (d) 42
  5. 5.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 16 (c) 44 (d) 32
  6. 6.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 16 (c) 44 (d) 52
  7. 7.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 67 (c) 90 (d) 47
  8. 8.What is the average of 34, 35, 41, 42, 44 and 62? (a) 42 (b) 45 (c) 44 (d) 43
  9. 9.The average of 7 numbers is 20. 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
  10. 10.What is the average of all the whole numbers from 39 to 67? (a) 53 (b) 54 (c) 28 (d) 14
  11. 11.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 65 (b) 32 (c) 64 (d) 40
  12. 12.What is the average of all the whole numbers from 51 to 87? (a) 36 (b) 70 (c) 18 (d) 69
  13. 13.What is the average of all the whole numbers from 30 to 62? (a) 32 (b) 46 (c) 16 (d) 47
  14. 14.What is the average of all the whole numbers from 32 to 66? (a) 49 (b) 17 (c) 50 (d) 34
  15. 15.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 16 (c) 66 (d) 47
  16. 16.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 13 (b) 6 (c) 5 (d) 28
  17. 17.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) 33 (b) 17 (c) 20 (d) 4
  18. 18.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 8 (b) 47 (c) 53 (d) 49
  19. 19.What is the average of all the whole numbers from 20 to 36? (a) 8 (b) 16 (c) 29 (d) 28
  20. 20.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 33 (b) 21 (c) 27 (d) 15
  21. 21.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 62 (c) 14 (d) 98
  22. 22.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 72 (b) 11 (c) 10 (d) 34
  23. 23.What is the average of all the whole numbers from 48 to 76? (a) 14 (b) 28 (c) 63 (d) 62
  24. 24.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 28 (c) 15 (d) 27
  25. 25.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 59 (c) 53 (d) 35
  26. 26.What is the average of 62, 41, 59, 59, 62 and 11? (a) 48 (b) 51 (c) 50 (d) 49
  27. 27.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 80 (b) 95 (c) 50 (d) 35
  28. 28.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 39 (b) 29 (c) 31 (d) 12
  29. 29.What is the average of 80, 84, 84, 84 and 48? (a) 75 (b) 77 (c) 95 (d) 76
  30. 30.What is the average of 52, 62, 45, 47, 64 and 66? (a) 57 (b) 55 (c) 58 (d) 56
  31. 31.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 20 (c) 22 (d) 10
  32. 32.What is the average of 23, 7, 7, 33, 29 and 21? (a) 20 (b) 24 (c) 21 (d) 19
  33. 33.What is the average of 27, 33, 8, 14 and 28? (a) 23 (b) 22 (c) 24 (d) 21
  34. 34.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 43 (b) 87 (c) 39 (d) 38
  35. 35.What is the average of 44, 42, 50 and 76? (a) 52 (b) 55 (c) 53 (d) 54
  36. 36.What is the average of all the whole numbers from 23 to 41? (a) 33 (b) 18 (c) 32 (d) 9
  37. 37.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 79 (b) 37 (c) 8 (d) 7
  38. 38.What is the average of all the whole numbers from 42 to 68? (a) 26 (b) 13 (c) 56 (d) 55
  39. 39.What is the average of all the whole numbers from 39 to 73? (a) 56 (b) 34 (c) 17 (d) 57
  40. 40.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 21 (b) 85 (c) 20 (d) 41

Answer key

  1. 57
  2. 20
  3. 55
  4. 41
  5. 44
  6. 52
  7. 67
  8. 43
  9. 38
  10. 53
  11. 64
  12. 69
  13. 46
  14. 49
  15. 47
  16. 5
  17. 20
  18. 53
  19. 28
  20. 33
  21. 62
  22. 10
  23. 62
  24. 27
  25. 59
  26. 49
  27. 80
  28. 39
  29. 76
  30. 56
  31. 20
  32. 20
  33. 22
  34. 38
  35. 53
  36. 32
  37. 7
  38. 55
  39. 56
  40. 20

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