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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 140 · 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 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 76 (b) 28 (c) 36 (d) 56
  2. 2.What is the average of 9, 27, 13, 33, 30 and 26? (a) 23 (b) 25 (c) 24 (d) 22
  3. 3.What is the average of all the whole numbers from 42 to 64? (a) 22 (b) 53 (c) 54 (d) 11
  4. 4.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) 50 (b) 53 (c) 71 (d) 24
  5. 5.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 59 (c) 99 (d) 56
  6. 6.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 65 (b) 61 (c) 81 (d) 24
  7. 7.What is the average of 35, 25, 28, 14, 15 and 57? (a) 28 (b) 29 (c) 31 (d) 30
  8. 8.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 24? (a) 51 (b) 24 (c) 27 (d) 30
  9. 9.What is the average of all the whole numbers from 24 to 42? (a) 34 (b) 9 (c) 33 (d) 18
  10. 10.What is the average of all the whole numbers from 9 to 43? (a) 27 (b) 34 (c) 26 (d) 17
  11. 11.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 38 (b) 32 (c) 56 (d) 30
  12. 12.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 80 (b) 38 (c) 15 (d) 14
  13. 13.What is the average of all the whole numbers from 57 to 63? (a) 3 (b) 60 (c) 61 (d) 6
  14. 14.What is the average of 36, 28, 13, 32 and 11? (a) 24 (b) 23 (c) 25 (d) 30
  15. 15.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 81 (b) 39 (c) 31 (d) 30
  16. 16.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 45 (b) 32 (c) 27 (d) 67
  17. 17.What is the average of all the whole numbers from 22 to 44? (a) 22 (b) 11 (c) 34 (d) 33
  18. 18.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 55 (c) 25 (d) 75
  19. 19.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 39 (b) 33 (c) 30 (d) 12
  20. 20.What is the average of 41, 49, 36, 21 and 28? (a) 35 (b) 36 (c) 37 (d) 34
  21. 21.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 107 (c) 48 (d) 75
  22. 22.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 14 (b) 13 (c) 48 (d) 101
  23. 23.What is the average of 33, 23, 9, 35 and 10? (a) 22 (b) 24 (c) 21 (d) 23
  24. 24.What is the average of 50, 43, 42, 47 and 98? (a) 55 (b) 70 (c) 56 (d) 57
  25. 25.What is the average of all the whole numbers from 26 to 54? (a) 40 (b) 28 (c) 41 (d) 14
  26. 26.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 34 (b) 15 (c) 4 (d) 3
  27. 27.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 37 (c) 33 (d) 75
  28. 28.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 28? (a) 28 (b) 53 (c) 33 (d) 30
  29. 29.What is the average of 87, 66, 76 and 87? (a) 80 (b) 78 (c) 81 (d) 79
  30. 30.What is the average of 51, 37, 44 and 48? (a) 45 (b) 60 (c) 46 (d) 44
  31. 31.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 80 (b) 38 (c) 11 (d) 10
  32. 32.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 9 (b) 17 (c) 37 (d) 8
  33. 33.What is the average of all the whole numbers from 60 to 80? (a) 71 (b) 10 (c) 70 (d) 20
  34. 34.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) 60 (b) 14 (c) 72 (d) 62
  35. 35.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 56? (a) 84 (b) 63 (c) 35 (d) 56
  36. 36.What is the average of all the whole numbers from 32 to 62? (a) 30 (b) 48 (c) 47 (d) 15
  37. 37.What is the average of all the whole numbers from 26 to 40? (a) 7 (b) 33 (c) 34 (d) 14
  38. 38.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 79 (b) 6 (c) 40 (d) 45
  39. 39.What is the average of 34, 28, 22, 18, 20 and 10? (a) 21 (b) 24 (c) 23 (d) 22
  40. 40.What is the average of all the whole numbers from 43 to 75? (a) 59 (b) 60 (c) 32 (d) 16

Answer key

  1. 76
  2. 23
  3. 53
  4. 71
  5. 99
  6. 81
  7. 29
  8. 51
  9. 33
  10. 26
  11. 56
  12. 14
  13. 60
  14. 24
  15. 30
  16. 67
  17. 33
  18. 75
  19. 39
  20. 35
  21. 107
  22. 13
  23. 22
  24. 56
  25. 40
  26. 3
  27. 33
  28. 53
  29. 79
  30. 45
  31. 10
  32. 8
  33. 70
  34. 72
  35. 84
  36. 47
  37. 33
  38. 45
  39. 22
  40. 59

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