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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 861 · 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 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 49? (a) 56 (b) 105 (c) 63 (d) 49
  2. 2.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 11 (b) 23 (c) 12 (d) 48
  3. 3.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 61 (b) 4 (c) 3 (d) 28
  4. 4.What is the average of all the whole numbers from 38 to 76? (a) 57 (b) 19 (c) 38 (d) 58
  5. 5.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 12 (c) 15 (d) 4
  6. 6.What is the average of all the whole numbers from 20 to 38? (a) 29 (b) 30 (c) 18 (d) 9
  7. 7.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 49 (b) 40 (c) 15 (d) 37
  8. 8.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 56 (c) 44 (d) 18
  9. 9.What is the average of all the whole numbers from 7 to 25? (a) 16 (b) 17 (c) 18 (d) 9
  10. 10.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 21 (b) 29 (c) 44 (d) 26
  11. 11.What is the average of 46, 73, 56, 70 and 55? (a) 75 (b) 59 (c) 61 (d) 60
  12. 12.What is the average of 44, 52, 69, 49 and 76? (a) 60 (b) 57 (c) 58 (d) 59
  13. 13.What is the average of 13, 30, 26 and 43? (a) 28 (b) 30 (c) 27 (d) 29
  14. 14.What is the average of all the whole numbers from 60 to 86? (a) 26 (b) 74 (c) 13 (d) 73
  15. 15.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 48 (b) 47 (c) 101 (d) 50
  16. 16.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 32 (b) 57 (c) 85 (d) 61
  17. 17.What is the average of 28, 53, 54 and 25? (a) 41 (b) 39 (c) 40 (d) 42
  18. 18.What is the average of 85, 82, 71 and 82? (a) 80 (b) 82 (c) 79 (d) 81
  19. 19.What is the average of all the whole numbers from 18 to 24? (a) 6 (b) 21 (c) 22 (d) 3
  20. 20.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 42 (b) 83 (c) 6 (d) 47
  21. 21.What is the average of all the whole numbers from 16 to 30? (a) 7 (b) 24 (c) 14 (d) 23
  22. 22.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 33? (a) 49 (b) 18 (c) 33 (d) 35
  23. 23.What is the average of 43, 57, 36, 57, 42 and 17? (a) 41 (b) 44 (c) 42 (d) 43
  24. 24.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 16 (c) 74 (d) 51
  25. 25.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 73 (c) 42 (d) 72
  26. 26.What is the average of all the whole numbers from 23 to 51? (a) 28 (b) 37 (c) 38 (d) 14
  27. 27.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 21 (b) 36 (c) 76 (d) 20
  28. 28.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 43 (c) 78 (d) 49
  29. 29.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 31? (a) 51 (b) 25 (c) 31 (d) 36
  30. 30.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 14 (b) 2 (c) 32 (d) 3
  31. 31.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 40 (b) 58 (c) 30 (d) 12
  32. 32.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 36 (b) 29 (c) 25 (d) 57
  33. 33.What is the average of 78, 70, 82, 70, 88 and 68? (a) 75 (b) 77 (c) 76 (d) 78
  34. 34.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 87 (b) 15 (c) 45 (d) 57
  35. 35.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 26 (b) 25 (c) 68 (d) 33
  36. 36.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 44 (c) 6 (d) 39
  37. 37.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 37 (c) 31 (d) 8
  38. 38.What is the average of 78, 75, 89, 89, 92 and 57? (a) 81 (b) 96 (c) 80 (d) 79
  39. 39.What is the average of 62, 43, 67, 45 and 68? (a) 59 (b) 57 (c) 56 (d) 58
  40. 40.What is the average of 41, 68, 51, 65, 41 and 70? (a) 57 (b) 55 (c) 58 (d) 56

Answer key

  1. 105
  2. 11
  3. 3
  4. 57
  5. 15
  6. 29
  7. 49
  8. 56
  9. 16
  10. 44
  11. 60
  12. 58
  13. 28
  14. 73
  15. 47
  16. 85
  17. 40
  18. 80
  19. 21
  20. 47
  21. 23
  22. 49
  23. 42
  24. 51
  25. 72
  26. 37
  27. 20
  28. 78
  29. 51
  30. 2
  31. 40
  32. 57
  33. 76
  34. 57
  35. 25
  36. 44
  37. 37
  38. 80
  39. 57
  40. 56

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