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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 137 · 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 43 to 77? (a) 60 (b) 61 (c) 17 (d) 34
  2. 2.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 30 (c) 63 (d) 87
  3. 3.What is the average of all the whole numbers from 16 to 26? (a) 5 (b) 21 (c) 22 (d) 10
  4. 4.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 25 (c) 24 (d) 84
  5. 5.What is the average of all the whole numbers from 25 to 51? (a) 26 (b) 13 (c) 39 (d) 38
  6. 6.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 7 (d) 6
  7. 7.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 52? (a) 40 (b) 84 (c) 60 (d) 52
  8. 8.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 73 (b) 74 (c) 40 (d) 39
  9. 9.What is the average of 52, 46, 48 and 82? (a) 76 (b) 58 (c) 57 (d) 56
  10. 10.What is the average of all the whole numbers from 53 to 65? (a) 60 (b) 12 (c) 59 (d) 6
  11. 11.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 44 (b) 32 (c) 26 (d) 24
  12. 12.What is the average of all the whole numbers from 16 to 56? (a) 40 (b) 37 (c) 36 (d) 20
  13. 13.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 42 (b) 83 (c) 53 (d) 47
  14. 14.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 55 (b) 39 (c) 74 (d) 20
  15. 15.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 30 (c) 31 (d) 90
  16. 16.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 10 (b) 22 (c) 2 (d) 3
  17. 17.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 26 (b) 10 (c) 20 (d) 16
  18. 18.What is the average of 21, 30, 29, 18, 36 and 52? (a) 32 (b) 33 (c) 30 (d) 31
  19. 19.What is the average of 32, 34, 25 and 69? (a) 39 (b) 41 (c) 40 (d) 42
  20. 20.What is the average of all the whole numbers from 10 to 32? (a) 20 (b) 11 (c) 22 (d) 21
  21. 21.What is the average of 25, 23, 14 and 50? (a) 30 (b) 27 (c) 29 (d) 28
  22. 22.What is the average of all the whole numbers from 58 to 96? (a) 38 (b) 78 (c) 77 (d) 19
  23. 23.What is the average of all the whole numbers from 50 to 70? (a) 20 (b) 61 (c) 60 (d) 10
  24. 24.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 30 (c) 49 (d) 67
  25. 25.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 18 (b) 16 (c) 10 (d) 24
  26. 26.What is the average of 68, 78, 68, 72, 80 and 108? (a) 78 (b) 80 (c) 79 (d) 81
  27. 27.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 54 (b) 56 (c) 55 (d) 30
  28. 28.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 56 (b) 32 (c) 35 (d) 27
  29. 29.What is the average of 11, 11, 31, 7 and 50? (a) 23 (b) 21 (c) 22 (d) 24
  30. 30.What is the average of 22, 29, 20, 26, 42 and 71? (a) 42 (b) 34 (c) 36 (d) 35
  31. 31.What is the average of all the whole numbers from 53 to 67? (a) 14 (b) 7 (c) 61 (d) 60
  32. 32.What is the average of 57, 67, 78, 72, 67 and 67? (a) 70 (b) 69 (c) 67 (d) 68
  33. 33.What is the average of all the whole numbers from 50 to 84? (a) 17 (b) 67 (c) 68 (d) 34
  34. 34.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 71 (b) 62 (c) 12 (d) 65
  35. 35.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 20 (c) 27 (d) 8
  36. 36.What is the average of all the whole numbers from 55 to 91? (a) 36 (b) 74 (c) 18 (d) 73
  37. 37.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 50 (b) 20 (c) 40 (d) 35
  38. 38.What is the average of 41, 40, 51, 62 and 71? (a) 54 (b) 55 (c) 52 (d) 53
  39. 39.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 28 (c) 49 (d) 4
  40. 40.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 42 (c) 14 (d) 32

Answer key

  1. 60
  2. 87
  3. 21
  4. 24
  5. 38
  6. 6
  7. 84
  8. 74
  9. 57
  10. 59
  11. 44
  12. 36
  13. 83
  14. 55
  15. 30
  16. 2
  17. 26
  18. 31
  19. 40
  20. 21
  21. 28
  22. 77
  23. 60
  24. 67
  25. 24
  26. 79
  27. 55
  28. 56
  29. 22
  30. 35
  31. 60
  32. 68
  33. 67
  34. 71
  35. 27
  36. 73
  37. 50
  38. 53
  39. 28
  40. 42

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