← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 200 · 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 33, 36, 44, 40, 52 and 59? (a) 46 (b) 44 (c) 43 (d) 45
  2. 2.What is the average of 75, 69, 64, 61 and 91? (a) 72 (b) 73 (c) 71 (d) 90
  3. 3.What is the average of all the whole numbers from 48 to 68? (a) 20 (b) 10 (c) 59 (d) 58
  4. 4.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 25 (c) 10 (d) 11
  5. 5.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 49 (b) 67 (c) 102 (d) 60
  6. 6.What is the average of 78, 62, 75, 87, 80 and 80? (a) 77 (b) 78 (c) 79 (d) 76
  7. 7.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 31 (b) 16 (c) 30 (d) 29
  8. 8.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 37 (c) 20 (d) 49
  9. 9.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 61 (c) 15 (d) 14
  10. 10.What is the average of all the whole numbers from 38 to 54? (a) 47 (b) 8 (c) 46 (d) 16
  11. 11.What is the average of all the whole numbers from 23 to 63? (a) 44 (b) 20 (c) 43 (d) 40
  12. 12.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 50 (c) 10 (d) 5
  13. 13.What is the average of all the whole numbers from 9 to 19? (a) 5 (b) 10 (c) 14 (d) 15
  14. 14.What is the average of 39, 40, 32, 28, 34 and 19? (a) 34 (b) 33 (c) 32 (d) 31
  15. 15.What is the average of all the whole numbers from 36 to 48? (a) 42 (b) 12 (c) 43 (d) 6
  16. 16.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 91 (b) 28 (c) 35 (d) 70
  17. 17.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 48 (c) 66 (d) 30
  18. 18.What is the average of all the whole numbers from 53 to 71? (a) 62 (b) 18 (c) 9 (d) 63
  19. 19.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 38 (b) 12 (c) 29 (d) 32
  20. 20.What is the average of all the whole numbers from 9 to 47? (a) 19 (b) 38 (c) 28 (d) 29
  21. 21.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 24 (b) 32 (c) 23 (d) 67
  22. 22.What is the average of all the whole numbers from 50 to 88? (a) 19 (b) 70 (c) 38 (d) 69
  23. 23.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 12 (c) 38 (d) 30
  24. 24.What is the average of all the whole numbers from 32 to 54? (a) 43 (b) 44 (c) 22 (d) 11
  25. 25.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 20 (c) 29 (d) 12
  26. 26.What is the average of 32, 20, 12, 26, 33 and 39? (a) 26 (b) 29 (c) 28 (d) 27
  27. 27.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 84 (c) 56 (d) 16
  28. 28.What is the average of 51, 40, 66, 66, 44 and 57? (a) 56 (b) 53 (c) 54 (d) 55
  29. 29.What is the average of all the whole numbers from 35 to 65? (a) 51 (b) 50 (c) 30 (d) 15
  30. 30.What is the average of 66, 79, 61 and 90? (a) 76 (b) 75 (c) 74 (d) 73
  31. 31.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 41 (c) 25 (d) 20
  32. 32.What is the average of 71, 45, 69, 62 and 33? (a) 70 (b) 56 (c) 55 (d) 57
  33. 33.What is the average of all the whole numbers from 34 to 44? (a) 5 (b) 39 (c) 40 (d) 10
  34. 34.What is the average of 25, 14, 31 and 42? (a) 28 (b) 29 (c) 27 (d) 30
  35. 35.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 25 (c) 20 (d) 6
  36. 36.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 16 (b) 15 (c) 28 (d) 29
  37. 37.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 11 (b) 12 (c) 46 (d) 97
  38. 38.What is the average of 15, 43, 24 and 38? (a) 40 (b) 30 (c) 29 (d) 31
  39. 39.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 8 (c) 53 (d) 92
  40. 40.What is the average of 79, 81, 71 and 41? (a) 68 (b) 69 (c) 67 (d) 70

Answer key

  1. 44
  2. 72
  3. 58
  4. 10
  5. 102
  6. 77
  7. 30
  8. 49
  9. 14
  10. 46
  11. 43
  12. 49
  13. 14
  14. 32
  15. 42
  16. 91
  17. 66
  18. 62
  19. 38
  20. 28
  21. 23
  22. 69
  23. 30
  24. 43
  25. 29
  26. 27
  27. 56
  28. 54
  29. 50
  30. 74
  31. 41
  32. 56
  33. 39
  34. 28
  35. 25
  36. 29
  37. 11
  38. 30
  39. 53
  40. 68

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