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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 893 · 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 29, 13, 34, 18 and 21? (a) 22 (b) 25 (c) 23 (d) 24
  2. 2.What is the average of 85, 83, 60, 75 and 57? (a) 90 (b) 73 (c) 72 (d) 71
  3. 3.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 53 (b) 46 (c) 91 (d) 8
  4. 4.What is the average of 72, 75, 67 and 42? (a) 66 (b) 65 (c) 63 (d) 64
  5. 5.What is the average of 51, 59, 66, 47, 48 and 65? (a) 56 (b) 58 (c) 57 (d) 55
  6. 6.What is the average of 68, 63, 48, 61, 59 and 79? (a) 65 (b) 63 (c) 62 (d) 64
  7. 7.What is the average of 41, 40, 36 and 27? (a) 35 (b) 48 (c) 36 (d) 37
  8. 8.What is the average of all the whole numbers from 10 to 42? (a) 27 (b) 32 (c) 26 (d) 16
  9. 9.What is the average of all the whole numbers from 36 to 76? (a) 56 (b) 40 (c) 20 (d) 57
  10. 10.What is the average of all the whole numbers from 30 to 68? (a) 49 (b) 38 (c) 19 (d) 50
  11. 11.What is the average of 26, 23, 29, 25 and 87? (a) 39 (b) 37 (c) 38 (d) 40
  12. 12.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 32 (c) 53 (d) 37
  13. 13.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 24 (b) 83 (c) 25 (d) 39
  14. 14.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 19 (c) 18 (d) 12
  15. 15.What is the average of all the whole numbers from 22 to 44? (a) 11 (b) 34 (c) 22 (d) 33
  16. 16.What is the average of 67, 86, 67, 69, 78 and 77? (a) 75 (b) 76 (c) 74 (d) 73
  17. 17.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 26 (c) 49 (d) 50
  18. 18.What is the average of all the whole numbers from 34 to 54? (a) 44 (b) 10 (c) 20 (d) 45
  19. 19.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 28 (c) 82 (d) 68
  20. 20.What is the average of all the whole numbers from 35 to 55? (a) 20 (b) 45 (c) 10 (d) 46
  21. 21.What is the average of all the whole numbers from 30 to 40? (a) 5 (b) 10 (c) 35 (d) 36
  22. 22.What is the average of 28, 42, 35, 20 and 15? (a) 28 (b) 27 (c) 35 (d) 29
  23. 23.What is the average of all the whole numbers from 45 to 61? (a) 54 (b) 53 (c) 16 (d) 8
  24. 24.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 85 (b) 57 (c) 42 (d) 50
  25. 25.What is the average of 83, 84, 76 and 45? (a) 96 (b) 71 (c) 72 (d) 73
  26. 26.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 52 (b) 40 (c) 28 (d) 16
  27. 27.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 36 (c) 25 (d) 35
  28. 28.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 42 (c) 96 (d) 68
  29. 29.What is the average of 39, 29, 32, 36, 45 and 53? (a) 38 (b) 40 (c) 39 (d) 41
  30. 30.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 51 (b) 14 (c) 49 (d) 61
  31. 31.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 64 (c) 84 (d) 30
  32. 32.What is the average of 63, 49, 47, 73, 67 and 61? (a) 59 (b) 72 (c) 61 (d) 60
  33. 33.What is the average of 65, 85, 75 and 91? (a) 79 (b) 78 (c) 81 (d) 80
  34. 34.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 33 (b) 44 (c) 32 (d) 92
  35. 35.What is the average of all the whole numbers from 38 to 64? (a) 13 (b) 52 (c) 51 (d) 26
  36. 36.What is the average of 40, 42, 53 and 49? (a) 47 (b) 45 (c) 46 (d) 48
  37. 37.What is the average of all the whole numbers from 51 to 65? (a) 14 (b) 58 (c) 7 (d) 59
  38. 38.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 19 (b) 18 (c) 96 (d) 46
  39. 39.What is the average of 15, 23, 13, 18 and 71? (a) 35 (b) 28 (c) 27 (d) 29
  40. 40.What is the average of all the whole numbers from 40 to 80? (a) 61 (b) 40 (c) 20 (d) 60

Answer key

  1. 23
  2. 72
  3. 53
  4. 64
  5. 56
  6. 63
  7. 36
  8. 26
  9. 56
  10. 49
  11. 38
  12. 53
  13. 24
  14. 18
  15. 33
  16. 74
  17. 49
  18. 44
  19. 82
  20. 45
  21. 35
  22. 28
  23. 53
  24. 85
  25. 72
  26. 40
  27. 35
  28. 96
  29. 39
  30. 61
  31. 84
  32. 60
  33. 79
  34. 32
  35. 51
  36. 46
  37. 58
  38. 18
  39. 28
  40. 60

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