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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 719 · 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 56, 43, 71, 55, 55 and 62? (a) 59 (b) 57 (c) 56 (d) 58
  2. 2.What is the average of 34, 27, 45 and 42? (a) 38 (b) 36 (c) 39 (d) 37
  3. 3.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 47 (c) 64 (d) 16
  4. 4.What is the average of all the whole numbers from 42 to 72? (a) 30 (b) 57 (c) 15 (d) 58
  5. 5.What is the average of 13, 13, 35 and 43? (a) 27 (b) 28 (c) 25 (d) 26
  6. 6.What is the average of all the whole numbers from 12 to 44? (a) 16 (b) 28 (c) 29 (d) 32
  7. 7.What is the average of 38, 23, 37, 27, 38 and 11? (a) 28 (b) 29 (c) 31 (d) 30
  8. 8.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 37 (c) 42 (d) 38
  9. 9.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 73 (b) 35 (c) 26 (d) 27
  10. 10.What is the average of 47, 35, 37, 49, 39 and 81? (a) 48 (b) 47 (c) 50 (d) 49
  11. 11.What is the average of all the whole numbers from 28 to 64? (a) 18 (b) 36 (c) 47 (d) 46
  12. 12.What is the average of all the whole numbers from 40 to 48? (a) 44 (b) 4 (c) 45 (d) 8
  13. 13.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 87 (b) 56 (c) 47 (d) 39
  14. 14.What is the average of 40, 23, 14, 23 and 30? (a) 25 (b) 28 (c) 26 (d) 27
  15. 15.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 12 (c) 21 (d) 22
  16. 16.What is the average of 67, 66, 80, 55, 66 and 86? (a) 84 (b) 71 (c) 70 (d) 69
  17. 17.What is the average of all the whole numbers from 13 to 49? (a) 31 (b) 32 (c) 36 (d) 18
  18. 18.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 61 (d) 30
  19. 19.What is the average of 51, 72, 67, 60, 54 and 80? (a) 66 (b) 64 (c) 63 (d) 65
  20. 20.What is the average of 56, 56, 63, 61 and 44? (a) 55 (b) 56 (c) 70 (d) 57
  21. 21.What is the average of all the whole numbers from 44 to 76? (a) 16 (b) 60 (c) 32 (d) 61
  22. 22.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 7 (b) 53 (c) 33 (d) 27
  23. 23.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 66 (b) 32 (c) 21 (d) 20
  24. 24.What is the average of all the whole numbers from 50 to 80? (a) 15 (b) 65 (c) 66 (d) 30
  25. 25.What is the average of all the whole numbers from 49 to 83? (a) 17 (b) 67 (c) 34 (d) 66
  26. 26.What is the average of all the whole numbers from 41 to 69? (a) 14 (b) 55 (c) 28 (d) 56
  27. 27.What is the average of 61, 62, 44 and 61? (a) 57 (b) 76 (c) 58 (d) 56
  28. 28.What is the average of all the whole numbers from 41 to 51? (a) 5 (b) 47 (c) 46 (d) 10
  29. 29.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 29 (c) 38 (d) 79
  30. 30.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) 39 (b) 38 (c) 87 (d) 43
  31. 31.What is the average of all the whole numbers from 10 to 26? (a) 8 (b) 16 (c) 18 (d) 19
  32. 32.What is the average of 84, 61, 64, 78 and 68? (a) 70 (b) 73 (c) 72 (d) 71
  33. 33.What is the average of all the whole numbers from 50 to 88? (a) 69 (b) 19 (c) 38 (d) 70
  34. 34.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 40 (b) 25 (c) 15 (d) 50
  35. 35.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 73 (c) 12 (d) 47
  36. 36.What is the average of 19, 10, 27, 33 and 31? (a) 23 (b) 30 (c) 25 (d) 24
  37. 37.What is the average of all the whole numbers from 18 to 30? (a) 12 (b) 6 (c) 25 (d) 24
  38. 38.What is the average of 31, 29, 46, 34, 38 and 14? (a) 31 (b) 33 (c) 34 (d) 32
  39. 39.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 36 (b) 86 (c) 56 (d) 62
  40. 40.What is the average of all the whole numbers from 40 to 66? (a) 54 (b) 13 (c) 53 (d) 26

Answer key

  1. 57
  2. 37
  3. 47
  4. 57
  5. 26
  6. 28
  7. 29
  8. 37
  9. 26
  10. 48
  11. 46
  12. 44
  13. 87
  14. 26
  15. 21
  16. 70
  17. 31
  18. 61
  19. 64
  20. 56
  21. 60
  22. 33
  23. 20
  24. 65
  25. 66
  26. 55
  27. 57
  28. 46
  29. 29
  30. 38
  31. 18
  32. 71
  33. 69
  34. 50
  35. 47
  36. 24
  37. 24
  38. 32
  39. 86
  40. 53

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