← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 618 · 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 19 to 33? (a) 7 (b) 26 (c) 27 (d) 14
  2. 2.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 18 (c) 58 (d) 19
  3. 3.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 45 (b) 85 (c) 60 (d) 20
  4. 4.What is the average of 58, 77, 76 and 61? (a) 68 (b) 70 (c) 69 (d) 67
  5. 5.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 64? (a) 69 (b) 50 (c) 109 (d) 64
  6. 6.What is the average of 57, 52, 75 and 68? (a) 84 (b) 62 (c) 64 (d) 63
  7. 7.What is the average of 22, 17, 31, 36 and 9? (a) 23 (b) 24 (c) 25 (d) 22
  8. 8.What is the average of all the whole numbers from 49 to 57? (a) 4 (b) 8 (c) 54 (d) 53
  9. 9.What is the average of 63, 55, 63, 77 and 92? (a) 69 (b) 71 (c) 72 (d) 70
  10. 10.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 20 (b) 38 (c) 33 (d) 48
  11. 11.What is the average of all the whole numbers from 52 to 74? (a) 22 (b) 64 (c) 11 (d) 63
  12. 12.What is the average of all the whole numbers from 11 to 51? (a) 20 (b) 32 (c) 40 (d) 31
  13. 13.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 20 (c) 22 (d) 40
  14. 14.What is the average of 87, 65, 87, 67 and 89? (a) 81 (b) 80 (c) 78 (d) 79
  15. 15.What is the average of 52, 49, 68, 45 and 66? (a) 70 (b) 57 (c) 55 (d) 56
  16. 16.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 49? (a) 32 (b) 49 (c) 57 (d) 73
  17. 17.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 16 (c) 29 (d) 43
  18. 18.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 15 (b) 63 (c) 66 (d) 75
  19. 19.What is the average of all the whole numbers from 35 to 65? (a) 51 (b) 30 (c) 15 (d) 50
  20. 20.What is the average of all the whole numbers from 9 to 37? (a) 14 (b) 28 (c) 23 (d) 24
  21. 21.What is the average of 39, 16, 21 and 48? (a) 32 (b) 31 (c) 33 (d) 30
  22. 22.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 53 (c) 33 (d) 24
  23. 23.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 23 (b) 18 (c) 17 (d) 48
  24. 24.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 63 (b) 41 (c) 90 (d) 34
  25. 25.What is the average of 19, 27, 38 and 20? (a) 27 (b) 26 (c) 28 (d) 25
  26. 26.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 13 (b) 38 (c) 12 (d) 18
  27. 27.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 26 (b) 54 (c) 17 (d) 16
  28. 28.What is the average of all the whole numbers from 9 to 47? (a) 28 (b) 29 (c) 38 (d) 19
  29. 29.What is the average of all the whole numbers from 33 to 63? (a) 48 (b) 15 (c) 49 (d) 30
  30. 30.What is the average of all the whole numbers from 32 to 44? (a) 12 (b) 38 (c) 6 (d) 39
  31. 31.What is the average of 40, 42, 47, 29 and 7? (a) 33 (b) 35 (c) 32 (d) 34
  32. 32.What is the average of 53, 46, 64 and 65? (a) 76 (b) 58 (c) 56 (d) 57
  33. 33.What is the average of 38, 18, 24, 30, 19 and 63? (a) 34 (b) 33 (c) 31 (d) 32
  34. 34.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 8 (c) 27 (d) 21
  35. 35.What is the average of all the whole numbers from 52 to 66? (a) 7 (b) 59 (c) 60 (d) 14
  36. 36.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 45 (b) 18 (c) 29 (d) 31
  37. 37.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 12 (c) 14 (d) 22
  38. 38.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 44 (b) 92 (c) 17 (d) 16
  39. 39.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 25 (b) 62 (c) 82 (d) 67
  40. 40.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 86 (b) 56 (c) 46 (d) 38

Answer key

  1. 26
  2. 18
  3. 60
  4. 68
  5. 109
  6. 63
  7. 23
  8. 53
  9. 70
  10. 48
  11. 63
  12. 31
  13. 38
  14. 79
  15. 56
  16. 73
  17. 43
  18. 75
  19. 50
  20. 23
  21. 31
  22. 53
  23. 17
  24. 90
  25. 26
  26. 12
  27. 16
  28. 28
  29. 48
  30. 38
  31. 33
  32. 57
  33. 32
  34. 27
  35. 59
  36. 45
  37. 24
  38. 16
  39. 82
  40. 86

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