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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 192 · 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 39, 33, 30 and 22? (a) 30 (b) 31 (c) 33 (d) 32
  2. 2.What is the average of 62, 52, 69, 72, 43 and 50? (a) 57 (b) 60 (c) 59 (d) 58
  3. 3.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 24 (c) 41 (d) 20
  4. 4.What is the average of 49, 67, 51 and 61? (a) 57 (b) 56 (c) 76 (d) 58
  5. 5.What is the average of all the whole numbers from 59 to 79? (a) 69 (b) 20 (c) 70 (d) 10
  6. 6.What is the average of all the whole numbers from 60 to 68? (a) 64 (b) 4 (c) 8 (d) 65
  7. 7.What is the average of all the whole numbers from 27 to 51? (a) 24 (b) 12 (c) 39 (d) 40
  8. 8.What is the average of 19, 11, 35, 31, 39 and 9? (a) 24 (b) 25 (c) 23 (d) 26
  9. 9.What is the average of all the whole numbers from 30 to 42? (a) 6 (b) 36 (c) 37 (d) 12
  10. 10.What is the average of all the whole numbers from 7 to 27? (a) 10 (b) 17 (c) 18 (d) 20
  11. 11.What is the average of all the whole numbers from 16 to 22? (a) 3 (b) 6 (c) 20 (d) 19
  12. 12.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 15 (b) 36 (c) 75 (d) 16
  13. 13.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 75 (b) 28 (c) 61 (d) 54
  14. 14.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 47 (c) 37 (d) 20
  15. 15.What is the average of 21, 27, 38 and 50? (a) 36 (b) 33 (c) 34 (d) 35
  16. 16.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 21 (b) 29 (c) 20 (d) 61
  17. 17.What is the average of 59, 57, 70 and 98? (a) 71 (b) 73 (c) 72 (d) 70
  18. 18.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 73 (c) 49 (d) 28
  19. 19.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 34 (b) 28 (c) 7 (d) 55
  20. 20.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 53 (b) 84 (c) 12 (d) 43
  21. 21.What is the average of all the whole numbers from 39 to 73? (a) 34 (b) 56 (c) 57 (d) 17
  22. 22.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 25 (b) 64 (c) 44 (d) 83
  23. 23.What is the average of 32, 36, 12 and 4? (a) 21 (b) 22 (c) 28 (d) 20
  24. 24.What is the average of all the whole numbers from 24 to 64? (a) 44 (b) 45 (c) 40 (d) 20
  25. 25.What is the average of 55, 59, 74, 54 and 103? (a) 71 (b) 68 (c) 70 (d) 69
  26. 26.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 57 (b) 16 (c) 84 (d) 43
  27. 27.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 89 (b) 43 (c) 35 (d) 34
  28. 28.What is the average of all the whole numbers from 52 to 68? (a) 16 (b) 60 (c) 61 (d) 8
  29. 29.What is the average of all the whole numbers from 11 to 37? (a) 25 (b) 13 (c) 24 (d) 26
  30. 30.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 60 (c) 44 (d) 84
  31. 31.What is the average of 58, 58, 40, 50, 37 and 69? (a) 53 (b) 51 (c) 54 (d) 52
  32. 32.What is the average of all the whole numbers from 38 to 44? (a) 3 (b) 6 (c) 42 (d) 41
  33. 33.What is the average of all the whole numbers from 28 to 38? (a) 5 (b) 33 (c) 10 (d) 34
  34. 34.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 26 (b) 59 (c) 29 (d) 27
  35. 35.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 36 (b) 72 (c) 44 (d) 40
  36. 36.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 40 (b) 35 (c) 6 (d) 69
  37. 37.What is the average of 71, 83, 75, 65, 59 and 67? (a) 71 (b) 84 (c) 69 (d) 70
  38. 38.What is the average of all the whole numbers from 40 to 74? (a) 17 (b) 57 (c) 34 (d) 58
  39. 39.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 48 (c) 35 (d) 76
  40. 40.What is the average of 75, 68, 87, 74 and 96? (a) 79 (b) 81 (c) 100 (d) 80

Answer key

  1. 31
  2. 58
  3. 41
  4. 57
  5. 69
  6. 64
  7. 39
  8. 24
  9. 36
  10. 17
  11. 19
  12. 15
  13. 75
  14. 47
  15. 34
  16. 20
  17. 71
  18. 73
  19. 34
  20. 53
  21. 56
  22. 64
  23. 21
  24. 44
  25. 69
  26. 57
  27. 34
  28. 60
  29. 24
  30. 60
  31. 52
  32. 41
  33. 33
  34. 26
  35. 72
  36. 40
  37. 70
  38. 57
  39. 76
  40. 80

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