← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 772 · 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 36? (a) 27 (b) 26 (c) 10 (d) 20
  2. 2.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 96 (b) 42 (c) 41 (d) 47
  3. 3.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 20 (b) 65 (c) 95 (d) 50
  4. 4.What is the average of all the whole numbers from 50 to 62? (a) 12 (b) 6 (c) 56 (d) 57
  5. 5.What is the average of 42, 31, 49 and 34? (a) 40 (b) 38 (c) 39 (d) 52
  6. 6.What is the average of 46, 55, 51, 49 and 54? (a) 51 (b) 52 (c) 50 (d) 53
  7. 7.What is the average of 32, 6, 27, 19, 30 and 12? (a) 20 (b) 21 (c) 22 (d) 23
  8. 8.What is the average of 54, 48, 39 and 35? (a) 45 (b) 43 (c) 46 (d) 44
  9. 9.What is the average of 63, 60, 63 and 78? (a) 67 (b) 66 (c) 88 (d) 65
  10. 10.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 46 (b) 40 (c) 94 (d) 41
  11. 11.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 57 (b) 10 (c) 55 (d) 63
  12. 12.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 90 (c) 38 (d) 39
  13. 13.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 43 (c) 16 (d) 31
  14. 14.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 15 (c) 14 (d) 30
  15. 15.What is the average of all the whole numbers from 39 to 73? (a) 57 (b) 34 (c) 17 (d) 56
  16. 16.What is the average of 10, 7, 20, 12 and 61? (a) 24 (b) 23 (c) 22 (d) 21
  17. 17.What is the average of all the whole numbers from 21 to 57? (a) 40 (b) 18 (c) 39 (d) 36
  18. 18.What is the average of all the whole numbers from 31 to 67? (a) 50 (b) 18 (c) 36 (d) 49
  19. 19.What is the average of 79, 66, 63, 52, 53 and 71? (a) 64 (b) 65 (c) 66 (d) 63
  20. 20.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 9 (d) 8
  21. 21.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 13 (c) 52 (d) 12
  22. 22.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 95 (c) 44 (d) 47
  23. 23.What is the average of all the whole numbers from 22 to 56? (a) 40 (b) 34 (c) 39 (d) 17
  24. 24.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 24 (b) 35 (c) 7 (d) 18
  25. 25.What is the average of 65, 61, 81 and 73? (a) 70 (b) 69 (c) 72 (d) 71
  26. 26.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 16 (b) 40 (c) 52 (d) 28
  27. 27.What is the average of all the whole numbers from 51 to 85? (a) 69 (b) 17 (c) 68 (d) 34
  28. 28.What is the average of 25, 47, 35 and 49? (a) 52 (b) 40 (c) 38 (d) 39
  29. 29.What is the average of 41, 41, 58, 64 and 46? (a) 50 (b) 49 (c) 51 (d) 52
  30. 30.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 48 (b) 58 (c) 20 (d) 43
  31. 31.What is the average of 44, 50, 49 and 9? (a) 37 (b) 38 (c) 40 (d) 39
  32. 32.What is the average of 89, 88, 77, 82, 68 and 58? (a) 76 (b) 77 (c) 79 (d) 78
  33. 33.What is the average of 70, 60, 47 and 43? (a) 57 (b) 54 (c) 56 (d) 55
  34. 34.What is the average of all the whole numbers from 36 to 60? (a) 48 (b) 49 (c) 12 (d) 24
  35. 35.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 7 (c) 8 (d) 42
  36. 36.What is the average of all the whole numbers from 32 to 42? (a) 37 (b) 10 (c) 5 (d) 38
  37. 37.What is the average of all the whole numbers from 20 to 32? (a) 27 (b) 6 (c) 12 (d) 26
  38. 38.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 40 (b) 31 (c) 66 (d) 57
  39. 39.What is the average of 16, 14, 27, 28, 32 and 33? (a) 24 (b) 26 (c) 25 (d) 30
  40. 40.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 14 (c) 28 (d) 27

Answer key

  1. 26
  2. 41
  3. 65
  4. 56
  5. 39
  6. 51
  7. 21
  8. 44
  9. 66
  10. 40
  11. 63
  12. 38
  13. 43
  14. 14
  15. 56
  16. 22
  17. 39
  18. 49
  19. 64
  20. 8
  21. 12
  22. 44
  23. 39
  24. 24
  25. 70
  26. 40
  27. 68
  28. 39
  29. 50
  30. 58
  31. 38
  32. 77
  33. 55
  34. 48
  35. 7
  36. 37
  37. 26
  38. 66
  39. 25
  40. 27

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