← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 715 · 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 48 to 54? (a) 52 (b) 51 (c) 3 (d) 6
  2. 2.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 32 (c) 65 (d) 28
  3. 3.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 49 (c) 41 (d) 76
  4. 4.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 47 (b) 20 (c) 62 (d) 89
  5. 5.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 13 (b) 17 (c) 14 (d) 35
  6. 6.What is the average of 62, 52, 62, 64, 58 and 68? (a) 62 (b) 60 (c) 61 (d) 63
  7. 7.What is the average of all the whole numbers from 33 to 39? (a) 6 (b) 37 (c) 36 (d) 3
  8. 8.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 71 (b) 29 (c) 49 (d) 36
  9. 9.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 42 (c) 60 (d) 24
  10. 10.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 26 (b) 43 (c) 5 (d) 22
  11. 11.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 127 (b) 71 (c) 70 (d) 64
  12. 12.What is the average of 39, 37, 24, 32 and 58? (a) 37 (b) 39 (c) 38 (d) 40
  13. 13.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 10 (b) 4 (c) 22 (d) 5
  14. 14.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 67? (a) 42 (b) 74 (c) 102 (d) 67
  15. 15.What is the average of 43, 57, 39, 39 and 87? (a) 52 (b) 54 (c) 55 (d) 53
  16. 16.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 33 (c) 10 (d) 35
  17. 17.What is the average of all the whole numbers from 30 to 68? (a) 19 (b) 49 (c) 50 (d) 38
  18. 18.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 30 (b) 45 (c) 93 (d) 31
  19. 19.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 14 (b) 52 (c) 78 (d) 40
  20. 20.What is the average of 26, 49, 36, 39 and 20? (a) 34 (b) 33 (c) 36 (d) 35
  21. 21.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 27 (b) 10 (c) 36 (d) 19
  22. 22.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 19 (c) 20 (d) 52
  23. 23.What is the average of 46, 61, 49, 53, 46 and 93? (a) 59 (b) 58 (c) 57 (d) 60
  24. 24.What is the average of 78, 62, 59, 81 and 90? (a) 75 (b) 73 (c) 76 (d) 74
  25. 25.What is the average of 29, 19, 38, 35, 13 and 16? (a) 30 (b) 26 (c) 25 (d) 24
  26. 26.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 73 (c) 58 (d) 21
  27. 27.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 54 (b) 14 (c) 82 (d) 42
  28. 28.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 69 (c) 83 (d) 28
  29. 29.What is the average of all the whole numbers from 7 to 15? (a) 12 (b) 4 (c) 8 (d) 11
  30. 30.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 97 (b) 62 (c) 57 (d) 45
  31. 31.What is the average of all the whole numbers from 42 to 72? (a) 30 (b) 58 (c) 15 (d) 57
  32. 32.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 79 (c) 20 (d) 61
  33. 33.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 8 (b) 52 (c) 33 (d) 27
  34. 34.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 20 (b) 61 (c) 45 (d) 49
  35. 35.What is the average of 60, 60, 39, 57 and 9? (a) 47 (b) 46 (c) 45 (d) 44
  36. 36.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 37 (c) 8 (d) 39
  37. 37.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 101 (b) 31 (c) 32 (d) 49
  38. 38.What is the average of 31, 27, 26 and 16? (a) 26 (b) 27 (c) 24 (d) 25
  39. 39.What is the average of all the whole numbers from 55 to 77? (a) 67 (b) 66 (c) 22 (d) 11
  40. 40.What is the average of 39, 42, 12, 36, 14 and 19? (a) 26 (b) 29 (c) 28 (d) 27

Answer key

  1. 51
  2. 28
  3. 76
  4. 62
  5. 13
  6. 61
  7. 36
  8. 71
  9. 60
  10. 26
  11. 127
  12. 38
  13. 4
  14. 102
  15. 53
  16. 41
  17. 49
  18. 30
  19. 52
  20. 34
  21. 27
  22. 19
  23. 58
  24. 74
  25. 25
  26. 73
  27. 54
  28. 83
  29. 11
  30. 97
  31. 57
  32. 79
  33. 33
  34. 61
  35. 45
  36. 43
  37. 31
  38. 25
  39. 66
  40. 27

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad