← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 130 · 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.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 35 (b) 23 (c) 14 (d) 44
  2. 2.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 80 (b) 120 (c) 48 (d) 56
  3. 3.What is the average of 23, 33, 44, 35 and 50? (a) 39 (b) 38 (c) 36 (d) 37
  4. 4.What is the average of all the whole numbers from 43 to 71? (a) 28 (b) 14 (c) 58 (d) 57
  5. 5.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 33 (b) 44 (c) 92 (d) 32
  6. 6.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 35 (c) 71 (d) 46
  7. 7.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 67 (c) 42 (d) 79
  8. 8.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 10 (c) 33 (d) 16
  9. 9.What is the average of all the whole numbers from 51 to 81? (a) 30 (b) 67 (c) 15 (d) 66
  10. 10.What is the average of 44, 46, 38, 66, 44 and 74? (a) 51 (b) 53 (c) 54 (d) 52
  11. 11.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 34 (b) 96 (c) 47 (d) 33
  12. 12.What is the average of 42, 31, 43, 28 and 26? (a) 33 (b) 36 (c) 34 (d) 35
  13. 13.What is the average of 56, 67, 74, 75, 54 and 58? (a) 66 (b) 65 (c) 64 (d) 63
  14. 14.What is the average of all the whole numbers from 46 to 52? (a) 50 (b) 49 (c) 6 (d) 3
  15. 15.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 53 (c) 37 (d) 12
  16. 16.What is the average of 69, 88, 71, 70, 74 and 102? (a) 80 (b) 78 (c) 81 (d) 79
  17. 17.What is the average of 69, 56, 45 and 70? (a) 60 (b) 80 (c) 61 (d) 59
  18. 18.What is the average of 44, 56, 37 and 35? (a) 45 (b) 42 (c) 43 (d) 44
  19. 19.What is the average of 38, 54, 27, 44 and 32? (a) 39 (b) 41 (c) 38 (d) 40
  20. 20.What is the average of all the whole numbers from 5 to 43? (a) 25 (b) 19 (c) 24 (d) 38
  21. 21.What is the average of all the whole numbers from 32 to 48? (a) 40 (b) 16 (c) 8 (d) 41
  22. 22.What is the average of all the whole numbers from 52 to 92? (a) 72 (b) 20 (c) 73 (d) 40
  23. 23.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 24 (b) 30 (c) 25 (d) 61
  24. 24.What is the average of all the whole numbers from 18 to 32? (a) 7 (b) 14 (c) 25 (d) 26
  25. 25.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 52 (b) 64 (c) 18 (d) 49
  26. 26.What is the average of 26, 35, 34 and 17? (a) 29 (b) 27 (c) 30 (d) 28
  27. 27.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 65 (b) 28 (c) 41 (d) 45
  28. 28.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 40 (b) 46 (c) 17 (d) 11
  29. 29.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 44 (b) 5 (c) 20 (d) 4
  30. 30.What is the average of 17, 41, 44, 23 and 20? (a) 31 (b) 29 (c) 28 (d) 30
  31. 31.What is the average of 46, 49, 50 and 15? (a) 40 (b) 41 (c) 42 (d) 39
  32. 32.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 34 (c) 11 (d) 22
  33. 33.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 27 (c) 13 (d) 24
  34. 34.What is the average of all the whole numbers from 55 to 85? (a) 71 (b) 30 (c) 70 (d) 15
  35. 35.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 43 (b) 20 (c) 11 (d) 12
  36. 36.What is the average of all the whole numbers from 53 to 59? (a) 57 (b) 3 (c) 6 (d) 56
  37. 37.What is the average of all the whole numbers from 26 to 62? (a) 44 (b) 45 (c) 36 (d) 18
  38. 38.What is the average of 27, 35, 35 and 15? (a) 28 (b) 27 (c) 29 (d) 30
  39. 39.What is the average of 28, 42, 30 and 48? (a) 37 (b) 39 (c) 38 (d) 36
  40. 40.What is the average of all the whole numbers from 49 to 85? (a) 18 (b) 36 (c) 68 (d) 67

Answer key

  1. 44
  2. 120
  3. 37
  4. 57
  5. 32
  6. 71
  7. 67
  8. 10
  9. 66
  10. 52
  11. 33
  12. 34
  13. 64
  14. 49
  15. 37
  16. 79
  17. 60
  18. 43
  19. 39
  20. 24
  21. 40
  22. 72
  23. 24
  24. 25
  25. 64
  26. 28
  27. 65
  28. 46
  29. 4
  30. 29
  31. 40
  32. 34
  33. 27
  34. 70
  35. 11
  36. 56
  37. 44
  38. 28
  39. 37
  40. 67

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