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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 250 · 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 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 54 (c) 24 (d) 38
  2. 2.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 33 (c) 6 (d) 22
  3. 3.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 8 (b) 44 (c) 40 (d) 38
  4. 4.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 42? (a) 46 (b) 58 (c) 20 (d) 42
  5. 5.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 29 (b) 55 (c) 21 (d) 47
  6. 6.What is the average of 37, 35, 47 and 9? (a) 31 (b) 34 (c) 32 (d) 33
  7. 7.What is the average of all the whole numbers from 46 to 58? (a) 6 (b) 12 (c) 52 (d) 53
  8. 8.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 53 (b) 49 (c) 5 (d) 97
  9. 9.What is the average of 74, 67, 76 and 43? (a) 65 (b) 64 (c) 66 (d) 67
  10. 10.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 62? (a) 24 (b) 62 (c) 82 (d) 66
  11. 11.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 62 (b) 59 (c) 18 (d) 74
  12. 12.What is the average of all the whole numbers from 9 to 33? (a) 24 (b) 12 (c) 22 (d) 21
  13. 13.What is the average of 77, 59, 82 and 58? (a) 68 (b) 92 (c) 70 (d) 69
  14. 14.What is the average of all the whole numbers from 60 to 78? (a) 70 (b) 69 (c) 9 (d) 18
  15. 15.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 70 (b) 61 (c) 117 (d) 54
  16. 16.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 120 (c) 63 (d) 119
  17. 17.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 24 (c) 48 (d) 30
  18. 18.What is the average of all the whole numbers from 27 to 57? (a) 15 (b) 30 (c) 43 (d) 42
  19. 19.What is the average of all the whole numbers from 21 to 41? (a) 32 (b) 31 (c) 20 (d) 10
  20. 20.What is the average of all the whole numbers from 25 to 41? (a) 33 (b) 34 (c) 16 (d) 8
  21. 21.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 21 (c) 10 (d) 24
  22. 22.What is the average of all the whole numbers from 59 to 75? (a) 67 (b) 16 (c) 8 (d) 68
  23. 23.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 48 (b) 8 (c) 42 (d) 82
  24. 24.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 16 (c) 23 (d) 22
  25. 25.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 43 (c) 17 (d) 16
  26. 26.What is the average of 57, 57, 85 and 85? (a) 71 (b) 72 (c) 73 (d) 70
  27. 27.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 41 (c) 16 (d) 49
  28. 28.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 40 (b) 47 (c) 95 (d) 41
  29. 29.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 90 (b) 56 (c) 12 (d) 46
  30. 30.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 19 (b) 39 (c) 81 (d) 18
  31. 31.What is the average of all the whole numbers from 23 to 63? (a) 40 (b) 43 (c) 44 (d) 20
  32. 32.What is the average of 18, 23, 23, 17, 24 and 45? (a) 24 (b) 26 (c) 25 (d) 30
  33. 33.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 17 (c) 16 (d) 26
  34. 34.What is the average of all the whole numbers from 19 to 27? (a) 4 (b) 23 (c) 8 (d) 24
  35. 35.What is the average of 49, 32, 42 and 13? (a) 36 (b) 33 (c) 35 (d) 34
  36. 36.What is the average of 54, 71, 78, 68, 63 and 80? (a) 71 (b) 70 (c) 68 (d) 69
  37. 37.What is the average of 43, 56, 60, 43 and 53? (a) 51 (b) 53 (c) 50 (d) 52
  38. 38.What is the average of all the whole numbers from 52 to 84? (a) 69 (b) 68 (c) 32 (d) 16
  39. 39.What is the average of all the whole numbers from 40 to 70? (a) 15 (b) 56 (c) 30 (d) 55
  40. 40.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 4 (b) 3 (c) 11 (d) 24

Answer key

  1. 54
  2. 22
  3. 44
  4. 58
  5. 47
  6. 32
  7. 52
  8. 53
  9. 65
  10. 82
  11. 74
  12. 21
  13. 69
  14. 69
  15. 117
  16. 119
  17. 48
  18. 42
  19. 31
  20. 33
  21. 21
  22. 67
  23. 48
  24. 22
  25. 16
  26. 71
  27. 49
  28. 40
  29. 56
  30. 18
  31. 43
  32. 25
  33. 16
  34. 23
  35. 34
  36. 69
  37. 51
  38. 68
  39. 55
  40. 3

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