← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 920 · 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 40 to 76? (a) 18 (b) 58 (c) 59 (d) 36
  2. 2.What is the average of 23, 19, 19, 24, 25 and 52? (a) 27 (b) 29 (c) 26 (d) 28
  3. 3.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 9 (b) 8 (c) 14 (d) 30
  4. 4.What is the average of all the whole numbers from 23 to 59? (a) 36 (b) 41 (c) 42 (d) 18
  5. 5.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 28 (c) 49 (d) 48
  6. 6.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 55 (c) 80 (d) 127
  7. 7.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 47 (b) 32 (c) 75 (d) 90
  8. 8.What is the average of all the whole numbers from 52 to 80? (a) 66 (b) 67 (c) 28 (d) 14
  9. 9.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 30 (c) 10 (d) 38
  10. 10.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 7 (b) 87 (c) 6 (d) 41
  11. 11.What is the average of all the whole numbers from 48 to 66? (a) 58 (b) 9 (c) 57 (d) 18
  12. 12.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 37? (a) 37 (b) 45 (c) 77 (d) 48
  13. 13.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 34 (b) 19 (c) 20 (d) 33
  14. 14.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 30 (c) 62 (d) 44
  15. 15.What is the average of all the whole numbers from 51 to 85? (a) 69 (b) 34 (c) 17 (d) 68
  16. 16.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 17 (c) 16 (d) 39
  17. 17.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 14 (c) 35 (d) 25
  18. 18.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 46 (b) 81 (c) 41 (d) 6
  19. 19.What is the average of 58, 76, 53 and 57? (a) 62 (b) 60 (c) 63 (d) 61
  20. 20.What is the average of all the whole numbers from 47 to 81? (a) 64 (b) 17 (c) 65 (d) 34
  21. 21.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 28 (b) 86 (c) 42 (d) 29
  22. 22.What is the average of 35, 20, 19, 17 and 34? (a) 25 (b) 26 (c) 27 (d) 24
  23. 23.What is the average of all the whole numbers from 33 to 55? (a) 22 (b) 44 (c) 45 (d) 11
  24. 24.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 18 (b) 88 (c) 19 (d) 42
  25. 25.What is the average of all the whole numbers from 27 to 55? (a) 28 (b) 42 (c) 14 (d) 41
  26. 26.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 42 (b) 89 (c) 28 (d) 27
  27. 27.What is the average of all the whole numbers from 12 to 38? (a) 26 (b) 13 (c) 25 (d) 24
  28. 28.What is the average of all the whole numbers from 35 to 65? (a) 50 (b) 15 (c) 51 (d) 30
  29. 29.What is the average of all the whole numbers from 11 to 17? (a) 6 (b) 3 (c) 14 (d) 15
  30. 30.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 24 (b) 36 (c) 68 (d) 56
  31. 31.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 26 (c) 29 (d) 15
  32. 32.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 23 (b) 9 (c) 51 (d) 8
  33. 33.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 40 (b) 41 (c) 95 (d) 47
  34. 34.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) 43 (b) 82 (c) 67 (d) 28
  35. 35.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 44 (b) 37 (c) 8 (d) 73
  36. 36.What is the average of all the whole numbers from 39 to 65? (a) 26 (b) 53 (c) 13 (d) 52
  37. 37.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 49? (a) 49 (b) 40 (c) 57 (d) 81
  38. 38.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) 24 (b) 38 (c) 56 (d) 44
  39. 39.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 39 (b) 50 (c) 38 (d) 104
  40. 40.What is the average of all the whole numbers from 22 to 56? (a) 34 (b) 17 (c) 40 (d) 39

Answer key

  1. 58
  2. 27
  3. 8
  4. 41
  5. 48
  6. 127
  7. 75
  8. 66
  9. 38
  10. 6
  11. 57
  12. 77
  13. 34
  14. 62
  15. 68
  16. 16
  17. 35
  18. 46
  19. 61
  20. 64
  21. 28
  22. 25
  23. 44
  24. 18
  25. 41
  26. 27
  27. 25
  28. 50
  29. 14
  30. 56
  31. 38
  32. 8
  33. 40
  34. 67
  35. 44
  36. 52
  37. 81
  38. 56
  39. 38
  40. 39

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