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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 609 · 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 16 to 54? (a) 38 (b) 19 (c) 36 (d) 35
  2. 2.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 77 (b) 28 (c) 57 (d) 53
  3. 3.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 11 (c) 14 (d) 4
  4. 4.What is the average of 30, 50, 28, 28 and 49? (a) 39 (b) 37 (c) 38 (d) 36
  5. 5.What is the average of 23, 26, 33, 14, 14 and 46? (a) 28 (b) 27 (c) 26 (d) 25
  6. 6.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 16 (c) 51 (d) 55
  7. 7.What is the average of 71, 46, 49, 47, 51 and 102? (a) 63 (b) 62 (c) 61 (d) 60
  8. 8.What is the average of all the whole numbers from 16 to 38? (a) 11 (b) 28 (c) 22 (d) 27
  9. 9.What is the average of 53, 41, 29, 30 and 67? (a) 55 (b) 45 (c) 43 (d) 44
  10. 10.What is the average of 44, 24, 16, 17 and 54? (a) 31 (b) 30 (c) 32 (d) 33
  11. 11.What is the average of 62, 58, 52, 56 and 97? (a) 67 (b) 64 (c) 66 (d) 65
  12. 12.What is the average of 11, 11, 26 and 32? (a) 20 (b) 22 (c) 19 (d) 21
  13. 13.What is the average of 73, 62, 71 and 82? (a) 96 (b) 71 (c) 73 (d) 72
  14. 14.What is the average of 75, 80, 59 and 82? (a) 76 (b) 75 (c) 73 (d) 74
  15. 15.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 20 (c) 46 (d) 61
  16. 16.What is the average of all the whole numbers from 5 to 27? (a) 22 (b) 17 (c) 16 (d) 11
  17. 17.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 54 (c) 86 (d) 12
  18. 18.What is the average of 42, 42, 25 and 3? (a) 30 (b) 28 (c) 29 (d) 27
  19. 19.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 21 (c) 22 (d) 75
  20. 20.What is the average of all the whole numbers from 31 to 69? (a) 19 (b) 50 (c) 38 (d) 51
  21. 21.What is the average of all the whole numbers from 45 to 51? (a) 48 (b) 49 (c) 3 (d) 6
  22. 22.What is the average of 49, 73, 74 and 52? (a) 64 (b) 63 (c) 62 (d) 61
  23. 23.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 80 (b) 53 (c) 30 (d) 56
  24. 24.What is the average of 78, 56, 70, 62 and 89? (a) 72 (b) 70 (c) 73 (d) 71
  25. 25.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 46 (c) 10 (d) 48
  26. 26.What is the average of 53, 38, 41 and 60? (a) 47 (b) 64 (c) 48 (d) 49
  27. 27.What is the average of 63, 53, 60 and 24? (a) 50 (b) 51 (c) 52 (d) 49
  28. 28.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 44 (c) 32 (d) 14
  29. 29.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 44 (c) 35 (d) 69
  30. 30.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 28? (a) 76 (b) 54 (c) 34 (d) 28
  31. 31.What is the average of 32, 31, 43 and 58? (a) 43 (b) 42 (c) 40 (d) 41
  32. 32.What is the average of all the whole numbers from 27 to 59? (a) 32 (b) 44 (c) 16 (d) 43
  33. 33.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 44 (b) 66 (c) 12 (d) 34
  34. 34.What is the average of 28, 11, 6, 31 and 24? (a) 19 (b) 21 (c) 25 (d) 20
  35. 35.What is the average of 41, 61, 55 and 59? (a) 53 (b) 72 (c) 54 (d) 55
  36. 36.What is the average of 47, 37, 56 and 68? (a) 53 (b) 51 (c) 52 (d) 54
  37. 37.What is the average of all the whole numbers from 27 to 43? (a) 8 (b) 16 (c) 35 (d) 36
  38. 38.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 29 (c) 28 (d) 95
  39. 39.What is the average of all the whole numbers from 29 to 55? (a) 43 (b) 13 (c) 42 (d) 26
  40. 40.What is the average of all the whole numbers from 37 to 63? (a) 50 (b) 26 (c) 51 (d) 13

Answer key

  1. 35
  2. 77
  3. 14
  4. 37
  5. 26
  6. 63
  7. 61
  8. 27
  9. 44
  10. 31
  11. 65
  12. 20
  13. 72
  14. 74
  15. 61
  16. 16
  17. 54
  18. 28
  19. 21
  20. 50
  21. 48
  22. 62
  23. 80
  24. 71
  25. 54
  26. 48
  27. 50
  28. 44
  29. 69
  30. 76
  31. 41
  32. 43
  33. 44
  34. 20
  35. 54
  36. 52
  37. 35
  38. 28
  39. 42
  40. 50

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