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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 115 · 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.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 76 (b) 40 (c) 68 (d) 32
  2. 2.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 58 (b) 27 (c) 4 (d) 3
  3. 3.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 24 (b) 47 (c) 29 (d) 26
  4. 4.What is the average of 42, 47, 26, 26, 48 and 27? (a) 36 (b) 37 (c) 35 (d) 38
  5. 5.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 45 (b) 67 (c) 102 (d) 62
  6. 6.What is the average of all the whole numbers from 13 to 37? (a) 12 (b) 24 (c) 26 (d) 25
  7. 7.What is the average of all the whole numbers from 31 to 39? (a) 35 (b) 4 (c) 36 (d) 8
  8. 8.What is the average of 32, 49, 24, 40 and 35? (a) 35 (b) 45 (c) 37 (d) 36
  9. 9.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 49 (c) 67 (d) 24
  10. 10.What is the average of all the whole numbers from 16 to 30? (a) 24 (b) 23 (c) 7 (d) 14
  11. 11.What is the average of all the whole numbers from 38 to 54? (a) 46 (b) 47 (c) 16 (d) 8
  12. 12.What is the average of 57, 74, 70, 60, 77 and 46? (a) 65 (b) 64 (c) 63 (d) 66
  13. 13.What is the average of 66, 50, 61 and 55? (a) 58 (b) 59 (c) 57 (d) 60
  14. 14.What is the average of all the whole numbers from 10 to 22? (a) 17 (b) 16 (c) 12 (d) 6
  15. 15.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 45 (c) 69 (d) 40
  16. 16.What is the average of all the whole numbers from 48 to 62? (a) 55 (b) 56 (c) 7 (d) 14
  17. 17.What is the average of all the whole numbers from 60 to 68? (a) 8 (b) 64 (c) 4 (d) 65
  18. 18.What is the average of 26, 41, 35, 38, 41 and 35? (a) 37 (b) 35 (c) 38 (d) 36
  19. 19.What is the average of 33, 36, 46, 31, 52 and 78? (a) 48 (b) 47 (c) 46 (d) 45
  20. 20.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 25 (c) 40 (d) 60
  21. 21.What is the average of 58, 60, 47, 54, 58 and 11? (a) 49 (b) 48 (c) 50 (d) 47
  22. 22.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 2 (b) 17 (c) 38 (d) 1
  23. 23.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 14 (c) 15 (d) 25
  24. 24.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 46 (b) 30 (c) 96 (d) 31
  25. 25.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 53 (c) 15 (d) 44
  26. 26.What is the average of 57, 80, 74 and 49? (a) 64 (b) 65 (c) 66 (d) 67
  27. 27.What is the average of 33, 33, 44, 40, 38 and 28? (a) 37 (b) 38 (c) 35 (d) 36
  28. 28.What is the average of all the whole numbers from 43 to 53? (a) 49 (b) 48 (c) 5 (d) 10
  29. 29.What is the average of 45, 65, 46, 43, 64 and 49? (a) 53 (b) 52 (c) 51 (d) 54
  30. 30.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 50 (c) 31 (d) 71
  31. 31.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 78 (c) 20 (d) 66
  32. 32.What is the average of all the whole numbers from 55 to 61? (a) 6 (b) 58 (c) 3 (d) 59
  33. 33.What is the average of 21, 29, 39, 16, 39 and 42? (a) 31 (b) 32 (c) 30 (d) 33
  34. 34.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 47? (a) 15 (b) 47 (c) 59 (d) 50
  35. 35.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 38 (c) 31 (d) 18
  36. 36.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 5 (b) 36 (c) 71 (d) 40
  37. 37.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 66 (c) 40 (d) 96
  38. 38.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 28 (c) 18 (d) 43
  39. 39.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 50 (c) 24 (d) 71
  40. 40.What is the average of all the whole numbers from 23 to 61? (a) 19 (b) 42 (c) 43 (d) 38

Answer key

  1. 68
  2. 3
  3. 47
  4. 36
  5. 102
  6. 25
  7. 35
  8. 36
  9. 67
  10. 23
  11. 46
  12. 64
  13. 58
  14. 16
  15. 69
  16. 55
  17. 64
  18. 36
  19. 46
  20. 60
  21. 48
  22. 1
  23. 26
  24. 30
  25. 53
  26. 65
  27. 36
  28. 48
  29. 52
  30. 71
  31. 78
  32. 58
  33. 31
  34. 59
  35. 38
  36. 40
  37. 96
  38. 43
  39. 71
  40. 42

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