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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 922 · 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 10 to 24? (a) 14 (b) 17 (c) 18 (d) 7
  2. 2.What is the average of all the whole numbers from 23 to 59? (a) 36 (b) 41 (c) 42 (d) 18
  3. 3.What is the average of 60, 33, 55, 34, 46 and 48? (a) 45 (b) 47 (c) 48 (d) 46
  4. 4.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 49 (c) 104 (d) 69
  5. 5.What is the average of 72, 86, 74 and 72? (a) 75 (b) 77 (c) 78 (d) 76
  6. 6.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 26 (c) 25 (d) 61
  7. 7.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 8 (b) 66 (c) 40 (d) 34
  8. 8.What is the average of 18, 41, 16 and 45? (a) 40 (b) 29 (c) 30 (d) 31
  9. 9.What is the average of all the whole numbers from 51 to 85? (a) 34 (b) 68 (c) 17 (d) 69
  10. 10.What is the average of 43, 32, 29 and 28? (a) 32 (b) 44 (c) 34 (d) 33
  11. 11.What is the average of 90, 72, 85, 89 and 59? (a) 79 (b) 81 (c) 80 (d) 78
  12. 12.What is the average of 66, 68, 70 and 116? (a) 79 (b) 82 (c) 81 (d) 80
  13. 13.What is the average of all the whole numbers from 26 to 66? (a) 20 (b) 47 (c) 40 (d) 46
  14. 14.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 65 (b) 34 (c) 15 (d) 46
  15. 15.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 43 (c) 10 (d) 49
  16. 16.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 23 (c) 22 (d) 28
  17. 17.What is the average of 54, 55, 55, 73, 80 and 91? (a) 69 (b) 70 (c) 67 (d) 68
  18. 18.What is the average of all the whole numbers from 56 to 68? (a) 6 (b) 63 (c) 62 (d) 12
  19. 19.What is the average of 82, 61, 79 and 58? (a) 69 (b) 72 (c) 70 (d) 71
  20. 20.What is the average of all the whole numbers from 16 to 46? (a) 15 (b) 30 (c) 31 (d) 32
  21. 21.What is the average of all the whole numbers from 17 to 37? (a) 28 (b) 27 (c) 20 (d) 10
  22. 22.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 30 (c) 20 (d) 42
  23. 23.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 72 (b) 20 (c) 62 (d) 57
  24. 24.What is the average of all the whole numbers from 5 to 13? (a) 10 (b) 9 (c) 8 (d) 4
  25. 25.What is the average of 62, 51, 45, 44, 42 and 86? (a) 66 (b) 54 (c) 55 (d) 56
  26. 26.What is the average of all the whole numbers from 36 to 48? (a) 42 (b) 12 (c) 43 (d) 6
  27. 27.What is the average of all the whole numbers from 24 to 52? (a) 38 (b) 14 (c) 28 (d) 39
  28. 28.What is the average of 38, 27, 26, 26 and 83? (a) 50 (b) 41 (c) 40 (d) 39
  29. 29.What is the average of all the whole numbers from 48 to 78? (a) 30 (b) 63 (c) 64 (d) 15
  30. 30.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 40 (c) 17 (d) 46
  31. 31.What is the average of 64, 55, 66, 53, 63 and 5? (a) 51 (b) 52 (c) 50 (d) 53
  32. 32.What is the average of all the whole numbers from 19 to 49? (a) 35 (b) 15 (c) 34 (d) 30
  33. 33.What is the average of 47, 37, 41 and 83? (a) 51 (b) 54 (c) 53 (d) 52
  34. 34.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 61 (b) 86 (c) 45 (d) 20
  35. 35.What is the average of 33, 42, 37, 52, 31 and 45? (a) 41 (b) 39 (c) 48 (d) 40
  36. 36.What is the average of 26, 10, 25, 11, 7 and 53? (a) 22 (b) 23 (c) 21 (d) 24
  37. 37.What is the average of 16, 9, 27, 13, 12 and 61? (a) 24 (b) 22 (c) 23 (d) 25
  38. 38.What is the average of all the whole numbers from 38 to 66? (a) 52 (b) 28 (c) 53 (d) 14
  39. 39.What is the average of all the whole numbers from 18 to 52? (a) 35 (b) 36 (c) 17 (d) 34
  40. 40.What is the average of all the whole numbers from 20 to 26? (a) 23 (b) 6 (c) 24 (d) 3

Answer key

  1. 17
  2. 41
  3. 46
  4. 104
  5. 76
  6. 25
  7. 40
  8. 30
  9. 68
  10. 33
  11. 79
  12. 80
  13. 46
  14. 46
  15. 49
  16. 22
  17. 68
  18. 62
  19. 70
  20. 31
  21. 27
  22. 42
  23. 72
  24. 9
  25. 55
  26. 42
  27. 38
  28. 40
  29. 63
  30. 46
  31. 51
  32. 34
  33. 52
  34. 61
  35. 40
  36. 22
  37. 23
  38. 52
  39. 35
  40. 23

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