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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 391 · 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 all the whole numbers from 57 to 81? (a) 70 (b) 69 (c) 12 (d) 24
  2. 2.What is the average of 23, 37, 43, 27 and 50? (a) 45 (b) 36 (c) 35 (d) 37
  3. 3.What is the average of 47, 42, 53, 58, 46 and 54? (a) 49 (b) 60 (c) 50 (d) 51
  4. 4.What is the average of all the whole numbers from 22 to 34? (a) 6 (b) 29 (c) 12 (d) 28
  5. 5.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 44 (b) 91 (c) 36 (d) 35
  6. 6.What is the average of all the whole numbers from 33 to 49? (a) 8 (b) 41 (c) 16 (d) 42
  7. 7.What is the average of 52, 43, 70, 55, 69 and 53? (a) 57 (b) 56 (c) 58 (d) 59
  8. 8.What is the average of 22, 29, 30, 11, 36 and 16? (a) 26 (b) 23 (c) 24 (d) 25
  9. 9.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 34 (b) 25 (c) 24 (d) 70
  10. 10.What is the average of 71, 69, 71, 63, 79 and 67? (a) 71 (b) 70 (c) 84 (d) 69
  11. 11.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 28 (c) 44 (d) 68
  12. 12.What is the average of 49, 68, 39 and 56? (a) 53 (b) 55 (c) 52 (d) 54
  13. 13.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 8 (b) 26 (c) 38 (d) 20
  14. 14.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 48 (c) 47 (d) 6
  15. 15.What is the average of all the whole numbers from 10 to 16? (a) 3 (b) 6 (c) 13 (d) 14
  16. 16.What is the average of 26, 43, 47, 35 and 29? (a) 37 (b) 36 (c) 45 (d) 35
  17. 17.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 12 (c) 25 (d) 26
  18. 18.What is the average of all the whole numbers from 44 to 84? (a) 20 (b) 64 (c) 65 (d) 40
  19. 19.What is the average of all the whole numbers from 9 to 27? (a) 18 (b) 19 (c) 9 (d) 17
  20. 20.What is the average of 42, 31, 53, 49, 56 and 45? (a) 45 (b) 47 (c) 48 (d) 46
  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 62? (a) 77 (b) 18 (c) 65 (d) 62
  22. 22.What is the average of 60, 81, 80, 76, 59 and 52? (a) 69 (b) 68 (c) 70 (d) 67
  23. 23.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 62 (b) 33 (c) 20 (d) 49
  24. 24.What is the average of 37, 37, 52, 36 and 63? (a) 44 (b) 45 (c) 47 (d) 46
  25. 25.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 30 (c) 75 (d) 65
  26. 26.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 18 (c) 66 (d) 78
  27. 27.What is the average of all the whole numbers from 40 to 80? (a) 20 (b) 61 (c) 40 (d) 60
  28. 28.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 48 (b) 62 (c) 102 (d) 70
  29. 29.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 12 (b) 40 (c) 78 (d) 50
  30. 30.What is the average of all the whole numbers from 36 to 42? (a) 39 (b) 6 (c) 40 (d) 3
  31. 31.What is the average of all the whole numbers from 14 to 34? (a) 20 (b) 25 (c) 10 (d) 24
  32. 32.What is the average of 77, 70, 66 and 63? (a) 68 (b) 70 (c) 92 (d) 69
  33. 33.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 26 (c) 97 (d) 27
  34. 34.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 12 (c) 49 (d) 40
  35. 35.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 30 (c) 13 (d) 63
  36. 36.What is the average of 42, 28, 26, 25 and 14? (a) 27 (b) 29 (c) 28 (d) 26
  37. 37.What is the average of 13, 10, 24 and 33? (a) 22 (b) 19 (c) 21 (d) 20
  38. 38.What is the average of all the whole numbers from 41 to 57? (a) 50 (b) 8 (c) 49 (d) 16
  39. 39.What is the average of all the whole numbers from 28 to 40? (a) 34 (b) 35 (c) 12 (d) 6
  40. 40.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 32 (b) 70 (c) 86 (d) 62

Answer key

  1. 69
  2. 36
  3. 50
  4. 28
  5. 35
  6. 41
  7. 57
  8. 24
  9. 24
  10. 70
  11. 68
  12. 53
  13. 26
  14. 47
  15. 13
  16. 36
  17. 25
  18. 64
  19. 18
  20. 46
  21. 77
  22. 68
  23. 49
  24. 45
  25. 65
  26. 78
  27. 60
  28. 102
  29. 50
  30. 39
  31. 24
  32. 69
  33. 26
  34. 49
  35. 12
  36. 27
  37. 20
  38. 49
  39. 34
  40. 86

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