← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 646 · 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 4 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 24 (b) 15 (c) 27 (d) 12
  2. 2.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 58 (c) 36 (d) 34
  3. 3.What is the average of 5, 32, 12, 24, 26 and 21? (a) 19 (b) 24 (c) 21 (d) 20
  4. 4.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 71 (b) 47 (c) 43 (d) 32
  5. 5.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 58 (b) 54 (c) 24 (d) 74
  6. 6.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 38 (c) 39 (d) 42
  7. 7.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 16 (c) 15 (d) 27
  8. 8.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 57 (b) 40 (c) 87 (d) 52
  9. 9.What is the average of all the whole numbers from 30 to 46? (a) 8 (b) 38 (c) 16 (d) 39
  10. 10.What is the average of all the whole numbers from 7 to 47? (a) 20 (b) 28 (c) 40 (d) 27
  11. 11.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 12 (c) 48 (d) 40
  12. 12.What is the average of 26, 34, 45 and 39? (a) 37 (b) 35 (c) 48 (d) 36
  13. 13.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 27 (c) 31 (d) 52
  14. 14.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 32 (b) 76 (c) 48 (d) 92
  15. 15.What is the average of all the whole numbers from 39 to 65? (a) 13 (b) 52 (c) 26 (d) 53
  16. 16.What is the average of 30, 27, 40, 43 and 55? (a) 38 (b) 40 (c) 41 (d) 39
  17. 17.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 37 (c) 64 (d) 85
  18. 18.What is the average of 30, 39, 43, 25 and 43? (a) 35 (b) 37 (c) 36 (d) 45
  19. 19.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 33 (c) 8 (d) 40
  20. 20.What is the average of 64, 54, 63, 56, 69 and 30? (a) 58 (b) 55 (c) 56 (d) 57
  21. 21.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 26 (b) 78 (c) 38 (d) 27
  22. 22.What is the average of 38, 43, 33 and 10? (a) 32 (b) 30 (c) 33 (d) 31
  23. 23.What is the average of all the whole numbers from 48 to 54? (a) 52 (b) 6 (c) 51 (d) 3
  24. 24.What is the average of 37, 36, 44, 14 and 14? (a) 28 (b) 29 (c) 30 (d) 31
  25. 25.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 87 (b) 17 (c) 41 (d) 16
  26. 26.What is the average of 39, 31, 42 and 32? (a) 37 (b) 48 (c) 36 (d) 35
  27. 27.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 22 (b) 17 (c) 6 (d) 33
  28. 28.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) 35 (b) 42 (c) 77 (d) 49
  29. 29.What is the average of 63, 83, 74, 84 and 81? (a) 78 (b) 79 (c) 77 (d) 76
  30. 30.What is the average of 72, 67, 63 and 38? (a) 61 (b) 80 (c) 60 (d) 59
  31. 31.What is the average of all the whole numbers from 34 to 72? (a) 54 (b) 38 (c) 19 (d) 53
  32. 32.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 36 (b) 67 (c) 39 (d) 35
  33. 33.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 24 (c) 49 (d) 53
  34. 34.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 38 (b) 73 (c) 47 (d) 12
  35. 35.What is the average of 82, 63, 80, 78 and 47? (a) 72 (b) 70 (c) 69 (d) 71
  36. 36.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 14 (b) 45 (c) 57 (d) 88
  37. 37.What is the average of all the whole numbers from 18 to 26? (a) 4 (b) 23 (c) 22 (d) 8
  38. 38.What is the average of 12, 24, 16, 36, 32 and 36? (a) 26 (b) 27 (c) 28 (d) 25
  39. 39.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 49 (c) 65 (d) 32
  40. 40.What is the average of all the whole numbers from 14 to 52? (a) 34 (b) 33 (c) 19 (d) 38

Answer key

  1. 24
  2. 58
  3. 20
  4. 71
  5. 74
  6. 38
  7. 15
  8. 87
  9. 38
  10. 27
  11. 48
  12. 36
  13. 52
  14. 76
  15. 52
  16. 39
  17. 85
  18. 36
  19. 40
  20. 56
  21. 26
  22. 31
  23. 51
  24. 29
  25. 16
  26. 36
  27. 22
  28. 77
  29. 77
  30. 60
  31. 53
  32. 67
  33. 49
  34. 47
  35. 70
  36. 57
  37. 22
  38. 26
  39. 65
  40. 33

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