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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 233 · 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.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 21 (b) 51 (c) 54 (d) 69
  2. 2.What is the average of all the whole numbers from 15 to 27? (a) 22 (b) 6 (c) 12 (d) 21
  3. 3.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 59 (c) 74 (d) 24
  4. 4.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 49 (b) 14 (c) 72 (d) 37
  5. 5.What is the average of 57, 35, 54 and 38? (a) 47 (b) 46 (c) 48 (d) 45
  6. 6.What is the average of all the whole numbers from 34 to 50? (a) 16 (b) 43 (c) 42 (d) 8
  7. 7.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 30 (b) 63 (c) 87 (d) 69
  8. 8.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 17 (b) 10 (c) 19 (d) 18
  9. 9.What is the average of all the whole numbers from 26 to 58? (a) 43 (b) 16 (c) 32 (d) 42
  10. 10.What is the average of all the whole numbers from 57 to 69? (a) 6 (b) 12 (c) 64 (d) 63
  11. 11.What is the average of all the whole numbers from 9 to 27? (a) 19 (b) 17 (c) 18 (d) 9
  12. 12.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 34 (b) 26 (c) 10 (d) 50
  13. 13.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) 17 (c) 40 (d) 46
  14. 14.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) 11 (c) 21 (d) 15
  15. 15.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 32 (c) 90 (d) 33
  16. 16.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 23 (b) 18 (c) 16 (d) 11
  17. 17.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 91 (c) 12 (d) 56
  18. 18.What is the average of 43, 47, 49 and 21? (a) 42 (b) 40 (c) 39 (d) 41
  19. 19.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 23 (d) 43
  20. 20.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 74 (b) 28 (c) 29 (d) 36
  21. 21.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 20 (d) 40
  22. 22.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 13 (c) 18 (d) 6
  23. 23.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 31 (c) 10 (d) 9
  24. 24.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 5 (b) 23 (c) 6 (d) 49
  25. 25.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 24 (b) 38 (c) 18 (d) 32
  26. 26.What is the average of 11, 17, 19 and 41? (a) 23 (b) 22 (c) 21 (d) 24
  27. 27.What is the average of 63, 55, 57 and 81? (a) 66 (b) 65 (c) 64 (d) 63
  28. 28.What is the average of 14, 34, 17, 21, 28 and 60? (a) 30 (b) 29 (c) 31 (d) 28
  29. 29.What is the average of 59, 54, 53 and 102? (a) 68 (b) 69 (c) 67 (d) 66
  30. 30.What is the average of 77, 65, 71, 73, 73 and 85? (a) 75 (b) 76 (c) 74 (d) 73
  31. 31.What is the average of 69, 56, 67, 55 and 43? (a) 60 (b) 59 (c) 58 (d) 57
  32. 32.What is the average of all the whole numbers from 10 to 34? (a) 12 (b) 22 (c) 24 (d) 23
  33. 33.What is the average of all the whole numbers from 54 to 94? (a) 75 (b) 20 (c) 74 (d) 40
  34. 34.What is the average of all the whole numbers from 42 to 82? (a) 62 (b) 40 (c) 63 (d) 20
  35. 35.What is the average of 48, 71, 68 and 61? (a) 63 (b) 62 (c) 61 (d) 64
  36. 36.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 75 (b) 60 (c) 20 (d) 65
  37. 37.What is the average of all the whole numbers from 40 to 74? (a) 34 (b) 58 (c) 17 (d) 57
  38. 38.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 57 (b) 26 (c) 1 (d) 2
  39. 39.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 26 (c) 46 (d) 47
  40. 40.What is the average of 38, 36, 59 and 71? (a) 50 (b) 52 (c) 51 (d) 68

Answer key

  1. 69
  2. 21
  3. 59
  4. 49
  5. 46
  6. 42
  7. 87
  8. 18
  9. 42
  10. 63
  11. 18
  12. 34
  13. 46
  14. 15
  15. 32
  16. 23
  17. 56
  18. 40
  19. 38
  20. 28
  21. 40
  22. 18
  23. 9
  24. 5
  25. 38
  26. 22
  27. 64
  28. 29
  29. 67
  30. 74
  31. 58
  32. 22
  33. 74
  34. 62
  35. 62
  36. 75
  37. 57
  38. 1
  39. 46
  40. 51

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