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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 131 · 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 31 to 39? (a) 8 (b) 36 (c) 35 (d) 4
  2. 2.What is the average of 78, 69, 70, 63, 62 and 42? (a) 63 (b) 65 (c) 66 (d) 64
  3. 3.What is the average of 46, 48, 58, 58, 45 and 81? (a) 55 (b) 57 (c) 56 (d) 58
  4. 4.What is the average of 75, 55, 55 and 75? (a) 66 (b) 67 (c) 65 (d) 64
  5. 5.What is the average of all the whole numbers from 15 to 37? (a) 27 (b) 26 (c) 22 (d) 11
  6. 6.What is the average of 76, 54, 63 and 83? (a) 68 (b) 69 (c) 70 (d) 92
  7. 7.What is the average of all the whole numbers from 32 to 72? (a) 40 (b) 20 (c) 53 (d) 52
  8. 8.What is the average of 11, 12, 27 and 46? (a) 32 (b) 23 (c) 24 (d) 25
  9. 9.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 5 (b) 22 (c) 4 (d) 10
  10. 10.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 62 (c) 30 (d) 24
  11. 11.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 28 (b) 32 (c) 56 (d) 60
  12. 12.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 83 (c) 59 (d) 32
  13. 13.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 7 (b) 44 (c) 87 (d) 50
  14. 14.What is the average of 52, 42, 68 and 54? (a) 54 (b) 72 (c) 53 (d) 55
  15. 15.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 109 (b) 63 (c) 60 (d) 53
  16. 16.What is the average of all the whole numbers from 43 to 63? (a) 20 (b) 53 (c) 54 (d) 10
  17. 17.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 40 (c) 73 (d) 72
  18. 18.What is the average of 68, 82, 68, 81, 65 and 86? (a) 76 (b) 74 (c) 90 (d) 75
  19. 19.What is the average of all the whole numbers from 31 to 45? (a) 7 (b) 14 (c) 39 (d) 38
  20. 20.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 15 (b) 14 (c) 49 (d) 103
  21. 21.What is the average of 68, 63, 57 and 24? (a) 55 (b) 53 (c) 52 (d) 54
  22. 22.What is the average of 26, 23, 22 and 21? (a) 22 (b) 23 (c) 24 (d) 25
  23. 23.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 17 (b) 16 (c) 31 (d) 32
  24. 24.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 4 (b) 45 (c) 3 (d) 21
  25. 25.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 43 (b) 53 (c) 14 (d) 41
  26. 26.What is the average of all the whole numbers from 48 to 86? (a) 67 (b) 68 (c) 38 (d) 19
  27. 27.What is the average of all the whole numbers from 54 to 68? (a) 61 (b) 62 (c) 14 (d) 7
  28. 28.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 39 (b) 97 (c) 38 (d) 47
  29. 29.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 32 (c) 53 (d) 28
  30. 30.What is the average of 89, 70, 70, 85, 77 and 71? (a) 78 (b) 79 (c) 77 (d) 76
  31. 31.What is the average of 23, 10, 26, 10 and 46? (a) 22 (b) 23 (c) 24 (d) 25
  32. 32.What is the average of all the whole numbers from 60 to 96? (a) 78 (b) 18 (c) 36 (d) 79
  33. 33.What is the average of all the whole numbers from 21 to 35? (a) 28 (b) 14 (c) 7 (d) 29
  34. 34.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 20 (c) 75 (d) 55
  35. 35.What is the average of 13, 8, 31, 9 and 49? (a) 22 (b) 23 (c) 21 (d) 24
  36. 36.What is the average of all the whole numbers from 54 to 88? (a) 34 (b) 17 (c) 71 (d) 72
  37. 37.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 34 (c) 35 (d) 14
  38. 38.What is the average of 22, 30, 25, 50 and 48? (a) 35 (b) 34 (c) 37 (d) 36
  39. 39.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 5 (b) 21 (c) 15 (d) 11
  40. 40.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 13 (c) 30 (d) 12

Answer key

  1. 35
  2. 64
  3. 56
  4. 65
  5. 26
  6. 69
  7. 52
  8. 24
  9. 4
  10. 24
  11. 56
  12. 83
  13. 50
  14. 54
  15. 109
  16. 53
  17. 72
  18. 75
  19. 38
  20. 14
  21. 53
  22. 23
  23. 31
  24. 3
  25. 53
  26. 67
  27. 61
  28. 38
  29. 52
  30. 77
  31. 23
  32. 78
  33. 28
  34. 55
  35. 22
  36. 71
  37. 34
  38. 35
  39. 15
  40. 12

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