← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 243 · 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.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 40 (b) 58 (c) 50 (d) 82
  2. 2.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 50? (a) 77 (b) 53 (c) 30 (d) 50
  3. 3.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 30 (b) 33 (c) 58 (d) 61
  4. 4.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 55 (b) 11 (c) 10 (d) 25
  5. 5.What is the average of all the whole numbers from 6 to 42? (a) 18 (b) 36 (c) 25 (d) 24
  6. 6.What is the average of 51, 54, 51 and 108? (a) 65 (b) 67 (c) 66 (d) 88
  7. 7.What is the average of all the whole numbers from 9 to 15? (a) 13 (b) 3 (c) 12 (d) 6
  8. 8.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 12 (b) 53 (c) 44 (d) 47
  9. 9.What is the average of 65, 70, 62, 52, 60 and 81? (a) 64 (b) 78 (c) 65 (d) 66
  10. 10.What is the average of all the whole numbers from 55 to 69? (a) 14 (b) 62 (c) 7 (d) 63
  11. 11.What is the average of all the whole numbers from 36 to 58? (a) 48 (b) 22 (c) 11 (d) 47
  12. 12.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 3 (b) 13 (c) 28 (d) 4
  13. 13.What is the average of 67, 41, 55, 62 and 50? (a) 57 (b) 56 (c) 55 (d) 54
  14. 14.What is the average of 45, 51, 37 and 43? (a) 43 (b) 46 (c) 45 (d) 44
  15. 15.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 23 (c) 28 (d) 6
  16. 16.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 15 (c) 31 (d) 19
  17. 17.What is the average of 88, 93, 82, 83 and 54? (a) 80 (b) 100 (c) 81 (d) 79
  18. 18.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 51 (b) 36 (c) 12 (d) 27
  19. 19.What is the average of 43, 31, 33, 31 and 37? (a) 34 (b) 37 (c) 35 (d) 36
  20. 20.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 8 (b) 51 (c) 26 (d) 33
  21. 21.What is the average of 36, 26, 39 and 23? (a) 33 (b) 30 (c) 32 (d) 31
  22. 22.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 25 (b) 87 (c) 24 (d) 42
  23. 23.What is the average of 35, 21, 13, 34 and 22? (a) 24 (b) 26 (c) 27 (d) 25
  24. 24.What is the average of all the whole numbers from 41 to 55? (a) 49 (b) 48 (c) 7 (d) 14
  25. 25.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 45 (b) 18 (c) 24 (d) 39
  26. 26.What is the average of 23, 22, 28 and 75? (a) 37 (b) 39 (c) 36 (d) 38
  27. 27.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 44 (b) 16 (c) 60 (d) 32
  28. 28.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 14 (b) 33 (c) 64 (d) 45
  29. 29.What is the average of all the whole numbers from 60 to 100? (a) 40 (b) 20 (c) 80 (d) 81
  30. 30.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 30? (a) 42 (b) 16 (c) 30 (d) 34
  31. 31.What is the average of all the whole numbers from 20 to 34? (a) 28 (b) 14 (c) 7 (d) 27
  32. 32.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 8 (b) 43 (c) 22 (d) 29
  33. 33.What is the average of 66, 74, 64, 57, 58 and 83? (a) 66 (b) 69 (c) 68 (d) 67
  34. 34.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 49 (b) 21 (c) 32 (d) 38
  35. 35.What is the average of all the whole numbers from 28 to 54? (a) 26 (b) 13 (c) 42 (d) 41
  36. 36.What is the average of all the whole numbers from 24 to 50? (a) 26 (b) 38 (c) 37 (d) 13
  37. 37.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 20 (c) 40 (d) 55
  38. 38.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 43 (b) 36 (c) 37 (d) 87
  39. 39.What is the average of all the whole numbers from 29 to 49? (a) 40 (b) 10 (c) 39 (d) 20
  40. 40.What is the average of 43, 28, 41, 31 and 37? (a) 37 (b) 36 (c) 45 (d) 35

Answer key

  1. 82
  2. 77
  3. 58
  4. 10
  5. 24
  6. 66
  7. 12
  8. 53
  9. 65
  10. 62
  11. 47
  12. 3
  13. 55
  14. 44
  15. 28
  16. 31
  17. 80
  18. 36
  19. 35
  20. 33
  21. 31
  22. 24
  23. 25
  24. 48
  25. 39
  26. 37
  27. 44
  28. 45
  29. 80
  30. 42
  31. 27
  32. 29
  33. 67
  34. 49
  35. 41
  36. 37
  37. 55
  38. 36
  39. 39
  40. 36

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