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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 547 · 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 72, 73, 60 and 91? (a) 73 (b) 75 (c) 76 (d) 74
  2. 2.What is the average of 43, 44, 39 and 90? (a) 55 (b) 54 (c) 72 (d) 53
  3. 3.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 18 (c) 19 (d) 75
  4. 4.What is the average of all the whole numbers from 54 to 86? (a) 71 (b) 32 (c) 16 (d) 70
  5. 5.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 72 (c) 14 (d) 60
  6. 6.What is the average of 47, 71, 68, 51, 58 and 77? (a) 61 (b) 63 (c) 64 (d) 62
  7. 7.What is the average of 13, 14, 34, 16 and 63? (a) 28 (b) 29 (c) 27 (d) 35
  8. 8.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 20 (b) 52 (c) 48 (d) 64
  9. 9.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 16 (c) 29 (d) 28
  10. 10.What is the average of 50, 61, 42, 38 and 69? (a) 51 (b) 52 (c) 65 (d) 53
  11. 11.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 50 (c) 21 (d) 20
  12. 12.What is the average of all the whole numbers from 23 to 29? (a) 27 (b) 6 (c) 3 (d) 26
  13. 13.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 22 (b) 33 (c) 69 (d) 21
  14. 14.What is the average of all the whole numbers from 59 to 79? (a) 10 (b) 70 (c) 20 (d) 69
  15. 15.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 65 (b) 58 (c) 100 (d) 49
  16. 16.What is the average of 64, 80, 62, 61, 89 and 88? (a) 74 (b) 73 (c) 76 (d) 75
  17. 17.What is the average of 52, 39, 47 and 50? (a) 47 (b) 48 (c) 49 (d) 46
  18. 18.What is the average of all the whole numbers from 8 to 42? (a) 34 (b) 26 (c) 17 (d) 25
  19. 19.What is the average of 54, 58, 62, 65, 81 and 94? (a) 70 (b) 71 (c) 69 (d) 68
  20. 20.What is the average of 29, 30, 34, 53, 54 and 58? (a) 42 (b) 45 (c) 44 (d) 43
  21. 21.What is the average of all the whole numbers from 26 to 40? (a) 34 (b) 7 (c) 14 (d) 33
  22. 22.What is the average of 78, 66, 71 and 85? (a) 100 (b) 76 (c) 74 (d) 75
  23. 23.What is the average of 33, 14, 12 and 29? (a) 21 (b) 22 (c) 23 (d) 24
  24. 24.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 38 (c) 37 (d) 101
  25. 25.What is the average of 42, 47, 49 and 70? (a) 51 (b) 52 (c) 53 (d) 54
  26. 26.What is the average of 27, 43, 38, 20, 43 and 33? (a) 36 (b) 33 (c) 34 (d) 35
  27. 27.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 14 (b) 5 (c) 31 (d) 6
  28. 28.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 51 (b) 67 (c) 32 (d) 43
  29. 29.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 14 (c) 46 (d) 15
  30. 30.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 21 (b) 43 (c) 41 (d) 23
  31. 31.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 72 (b) 61 (c) 69 (d) 125
  32. 32.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 37 (b) 25 (c) 16 (d) 46
  33. 33.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 75 (b) 37 (c) 32 (d) 31
  34. 34.What is the average of all the whole numbers from 42 to 60? (a) 52 (b) 51 (c) 9 (d) 18
  35. 35.What is the average of 23, 27, 19 and 19? (a) 23 (b) 21 (c) 24 (d) 22
  36. 36.What is the average of 26, 45, 24, 34, 20 and 43? (a) 31 (b) 33 (c) 32 (d) 34
  37. 37.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 18 (b) 26 (c) 29 (d) 41
  38. 38.What is the average of 57, 55, 54, 59 and 15? (a) 48 (b) 49 (c) 60 (d) 47
  39. 39.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 25 (c) 8 (d) 16
  40. 40.What is the average of all the whole numbers from 9 to 15? (a) 3 (b) 13 (c) 12 (d) 6

Answer key

  1. 74
  2. 54
  3. 18
  4. 70
  5. 72
  6. 62
  7. 28
  8. 64
  9. 28
  10. 52
  11. 20
  12. 26
  13. 21
  14. 69
  15. 100
  16. 74
  17. 47
  18. 25
  19. 69
  20. 43
  21. 33
  22. 75
  23. 22
  24. 37
  25. 52
  26. 34
  27. 5
  28. 67
  29. 14
  30. 41
  31. 125
  32. 37
  33. 31
  34. 51
  35. 22
  36. 32
  37. 41
  38. 48
  39. 24
  40. 12

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