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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 362 · 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.What is the average of 56, 78, 58, 81 and 72? (a) 68 (b) 69 (c) 70 (d) 71
  2. 2.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 18 (b) 32 (c) 35 (d) 47
  3. 3.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 27 (b) 97 (c) 47 (d) 26
  4. 4.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 73 (b) 61 (c) 65 (d) 16
  5. 5.What is the average of 69, 76, 64, 74 and 67? (a) 71 (b) 72 (c) 69 (d) 70
  6. 6.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 5 (b) 81 (c) 41 (d) 45
  7. 7.What is the average of 84, 63, 74, 71, 69 and 71? (a) 73 (b) 71 (c) 72 (d) 74
  8. 8.What is the average of 28, 23, 22, 19 and 78? (a) 36 (b) 35 (c) 34 (d) 33
  9. 9.What is the average of 20, 17, 14, 37, 26 and 30? (a) 26 (b) 23 (c) 25 (d) 24
  10. 10.What is the average of all the whole numbers from 5 to 27? (a) 11 (b) 22 (c) 17 (d) 16
  11. 11.What is the average of 66, 86, 74 and 82? (a) 79 (b) 77 (c) 76 (d) 78
  12. 12.What is the average of 10, 9, 6 and 59? (a) 21 (b) 22 (c) 20 (d) 28
  13. 13.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 24 (b) 30 (c) 27 (d) 48
  14. 14.What is the average of 18, 23, 33, 13, 21 and 60? (a) 28 (b) 29 (c) 30 (d) 27
  15. 15.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 24 (c) 44 (d) 56
  16. 16.What is the average of 42, 26, 38, 35, 21 and 48? (a) 36 (b) 42 (c) 34 (d) 35
  17. 17.What is the average of all the whole numbers from 13 to 47? (a) 17 (b) 31 (c) 34 (d) 30
  18. 18.What is the average of 43, 38, 45, 51, 27 and 24? (a) 37 (b) 39 (c) 40 (d) 38
  19. 19.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 62 (c) 56 (d) 70
  20. 20.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 20 (c) 47 (d) 26
  21. 21.What is the average of 23, 32, 30, 31, 37 and 63? (a) 36 (b) 38 (c) 37 (d) 35
  22. 22.What is the average of 46, 52, 47 and 91? (a) 60 (b) 61 (c) 59 (d) 58
  23. 23.What is the average of 51, 32, 57, 32, 28 and 58? (a) 42 (b) 45 (c) 44 (d) 43
  24. 24.What is the average of 77, 81, 67, 76 and 84? (a) 79 (b) 76 (c) 78 (d) 77
  25. 25.What is the average of all the whole numbers from 40 to 58? (a) 50 (b) 18 (c) 9 (d) 49
  26. 26.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 19 (b) 20 (c) 73 (d) 34
  27. 27.What is the average of all the whole numbers from 56 to 80? (a) 12 (b) 69 (c) 68 (d) 24
  28. 28.What is the average of all the whole numbers from 13 to 27? (a) 7 (b) 20 (c) 14 (d) 21
  29. 29.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 100 (c) 58 (d) 56
  30. 30.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 36 (c) 41 (d) 35
  31. 31.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 36 (b) 35 (c) 92 (d) 45
  32. 32.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 43 (c) 28 (d) 67
  33. 33.What is the average of all the whole numbers from 56 to 64? (a) 61 (b) 8 (c) 4 (d) 60
  34. 34.What is the average of 16, 13, 32, 35, 25 and 17? (a) 22 (b) 23 (c) 25 (d) 24
  35. 35.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 15 (c) 5 (d) 11
  36. 36.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 13 (c) 66 (d) 67
  37. 37.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 32 (b) 15 (c) 10 (d) 9
  38. 38.What is the average of all the whole numbers from 14 to 30? (a) 23 (b) 8 (c) 22 (d) 16
  39. 39.What is the average of 51, 57, 40, 67, 41 and 74? (a) 56 (b) 54 (c) 55 (d) 66
  40. 40.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 48 (b) 97 (c) 45 (d) 46

Answer key

  1. 69
  2. 47
  3. 26
  4. 73
  5. 70
  6. 45
  7. 72
  8. 34
  9. 24
  10. 16
  11. 77
  12. 21
  13. 48
  14. 28
  15. 56
  16. 35
  17. 30
  18. 38
  19. 110
  20. 41
  21. 36
  22. 59
  23. 43
  24. 77
  25. 49
  26. 19
  27. 68
  28. 20
  29. 100
  30. 35
  31. 35
  32. 67
  33. 60
  34. 23
  35. 15
  36. 66
  37. 9
  38. 22
  39. 55
  40. 45

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