← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 21 · 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 41 to 77? (a) 36 (b) 18 (c) 60 (d) 59
  2. 2.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 79 (b) 47 (c) 55 (d) 40
  3. 3.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 22 (b) 99 (c) 23 (d) 47
  4. 4.What is the average of 43, 49, 44, 49 and 85? (a) 55 (b) 54 (c) 53 (d) 56
  5. 5.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 68 (b) 28 (c) 48 (d) 36
  6. 6.What is the average of all the whole numbers from 41 to 71? (a) 30 (b) 56 (c) 57 (d) 15
  7. 7.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 45 (b) 80 (c) 85 (d) 40
  8. 8.What is the average of all the whole numbers from 19 to 53? (a) 37 (b) 34 (c) 36 (d) 17
  9. 9.What is the average of 59, 37, 60, 51 and 23? (a) 46 (b) 45 (c) 48 (d) 47
  10. 10.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 10 (b) 22 (c) 14 (d) 26
  11. 11.What is the average of 31, 38, 37, 36 and 3? (a) 31 (b) 29 (c) 30 (d) 28
  12. 12.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 25 (b) 41 (c) 37 (d) 21
  13. 13.What is the average of 66, 55, 72, 58, 71 and 20? (a) 58 (b) 57 (c) 56 (d) 59
  14. 14.What is the average of 66, 85, 71 and 62? (a) 70 (b) 73 (c) 71 (d) 72
  15. 15.What is the average of 44, 49, 47, 41, 67 and 70? (a) 52 (b) 53 (c) 54 (d) 55
  16. 16.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) 66 (b) 34 (c) 44 (d) 12
  17. 17.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 46 (b) 52 (c) 91 (d) 7
  18. 18.What is the average of all the whole numbers from 14 to 40? (a) 28 (b) 26 (c) 27 (d) 13
  19. 19.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 45 (b) 65 (c) 24 (d) 86
  20. 20.What is the average of 83, 74, 76 and 87? (a) 82 (b) 80 (c) 81 (d) 79
  21. 21.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 89 (c) 4 (d) 45
  22. 22.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 27 (b) 28 (c) 37 (d) 76
  23. 23.What is the average of all the whole numbers from 53 to 79? (a) 67 (b) 13 (c) 66 (d) 26
  24. 24.What is the average of 54, 49, 52 and 89? (a) 61 (b) 62 (c) 60 (d) 63
  25. 25.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 70 (b) 36 (c) 16 (d) 50
  26. 26.What is the average of all the whole numbers from 9 to 41? (a) 32 (b) 26 (c) 16 (d) 25
  27. 27.What is the average of all the whole numbers from 5 to 13? (a) 9 (b) 10 (c) 4 (d) 8
  28. 28.What is the average of all the whole numbers from 42 to 54? (a) 49 (b) 48 (c) 6 (d) 12
  29. 29.What is the average of all the whole numbers from 8 to 30? (a) 19 (b) 11 (c) 20 (d) 22
  30. 30.What is the average of all the whole numbers from 18 to 58? (a) 39 (b) 38 (c) 40 (d) 20
  31. 31.What is the average of all the whole numbers from 32 to 68? (a) 51 (b) 18 (c) 36 (d) 50
  32. 32.What is the average of 40, 47, 25 and 16? (a) 34 (b) 32 (c) 33 (d) 31
  33. 33.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 42 (b) 77 (c) 49 (d) 35
  34. 34.What is the average of 60, 64, 57, 50, 61 and 80? (a) 61 (b) 63 (c) 64 (d) 62
  35. 35.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 32 (c) 35 (d) 62
  36. 36.What is the average of 52, 63, 66 and 31? (a) 55 (b) 54 (c) 53 (d) 52
  37. 37.What is the average of 80, 78, 77, 55 and 45? (a) 67 (b) 69 (c) 68 (d) 66
  38. 38.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 93 (c) 72 (d) 37
  39. 39.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) 61 (b) 20 (c) 79 (d) 63
  40. 40.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 71 (b) 59 (c) 18 (d) 56

Answer key

  1. 59
  2. 79
  3. 22
  4. 54
  5. 68
  6. 56
  7. 80
  8. 36
  9. 46
  10. 22
  11. 29
  12. 41
  13. 57
  14. 71
  15. 53
  16. 44
  17. 52
  18. 27
  19. 65
  20. 80
  21. 48
  22. 27
  23. 66
  24. 61
  25. 50
  26. 25
  27. 9
  28. 48
  29. 19
  30. 38
  31. 50
  32. 32
  33. 77
  34. 62
  35. 62
  36. 53
  37. 67
  38. 93
  39. 79
  40. 71

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