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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 911 · 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 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 76 (c) 32 (d) 52
  2. 2.What is the average of all the whole numbers from 38 to 52? (a) 14 (b) 7 (c) 45 (d) 46
  3. 3.What is the average of all the whole numbers from 28 to 42? (a) 35 (b) 14 (c) 7 (d) 36
  4. 4.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 7 (b) 39 (c) 65 (d) 33
  5. 5.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 28 (b) 98 (c) 47 (d) 27
  6. 6.What is the average of 21, 16, 40 and 23? (a) 27 (b) 26 (c) 24 (d) 25
  7. 7.What is the average of 33, 41, 37, 38 and 81? (a) 48 (b) 45 (c) 47 (d) 46
  8. 8.What is the average of all the whole numbers from 17 to 45? (a) 31 (b) 32 (c) 14 (d) 28
  9. 9.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 60 (b) 55 (c) 30 (d) 35
  10. 10.What is the average of 10, 31, 30 and 21? (a) 23 (b) 24 (c) 25 (d) 22
  11. 11.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 54 (c) 37 (d) 85
  12. 12.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 36 (b) 32 (c) 16 (d) 20
  13. 13.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 23 (b) 24 (c) 74 (d) 35
  14. 14.What is the average of 56, 85, 64, 71, 84 and 66? (a) 73 (b) 70 (c) 71 (d) 72
  15. 15.What is the average of 51, 60, 56, 56 and 62? (a) 58 (b) 56 (c) 59 (d) 57
  16. 16.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 12 (c) 70 (d) 60
  17. 17.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 71 (b) 30 (c) 38 (d) 63
  18. 18.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 98 (b) 35 (c) 70 (d) 42
  19. 19.What is the average of all the whole numbers from 17 to 27? (a) 22 (b) 23 (c) 5 (d) 10
  20. 20.What is the average of 49, 62, 64, 37 and 38? (a) 50 (b) 49 (c) 51 (d) 52
  21. 21.What is the average of all the whole numbers from 39 to 55? (a) 48 (b) 16 (c) 8 (d) 47
  22. 22.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 23 (b) 35 (c) 6 (d) 18
  23. 23.What is the average of all the whole numbers from 40 to 66? (a) 26 (b) 54 (c) 53 (d) 13
  24. 24.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 15 (b) 73 (c) 35 (d) 14
  25. 25.What is the average of all the whole numbers from 32 to 38? (a) 3 (b) 35 (c) 36 (d) 6
  26. 26.What is the average of 80, 66, 92, 75 and 77? (a) 79 (b) 77 (c) 80 (d) 78
  27. 27.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 6 (b) 14 (c) 27 (d) 19
  28. 28.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 69 (b) 20 (c) 53 (d) 57
  29. 29.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 66 (c) 32 (d) 42
  30. 30.What is the average of all the whole numbers from 36 to 54? (a) 46 (b) 9 (c) 18 (d) 45
  31. 31.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 79 (b) 39 (c) 35 (d) 34
  32. 32.What is the average of all the whole numbers from 43 to 61? (a) 9 (b) 52 (c) 53 (d) 18
  33. 33.What is the average of 69, 65, 49 and 73? (a) 65 (b) 63 (c) 66 (d) 64
  34. 34.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 15 (c) 50 (d) 62
  35. 35.What is the average of 41, 40, 49, 42 and 18? (a) 40 (b) 38 (c) 37 (d) 39
  36. 36.What is the average of 77, 65, 52, 54 and 87? (a) 67 (b) 66 (c) 69 (d) 68
  37. 37.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 33 (c) 11 (d) 12
  38. 38.The average of 8 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) 8 (d) 9
  39. 39.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 19 (c) 33 (d) 18
  40. 40.What is the average of all the whole numbers from 22 to 28? (a) 6 (b) 26 (c) 25 (d) 3

Answer key

  1. 76
  2. 45
  3. 35
  4. 39
  5. 27
  6. 25
  7. 46
  8. 31
  9. 60
  10. 23
  11. 85
  12. 32
  13. 23
  14. 71
  15. 57
  16. 70
  17. 63
  18. 98
  19. 22
  20. 50
  21. 47
  22. 23
  23. 53
  24. 14
  25. 35
  26. 78
  27. 19
  28. 69
  29. 66
  30. 45
  31. 34
  32. 52
  33. 64
  34. 62
  35. 38
  36. 67
  37. 11
  38. 8
  39. 18
  40. 25

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