← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 80 · 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 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 44 (c) 40 (d) 89
  2. 2.What is the average of 70, 88, 70, 77, 88 and 87? (a) 80 (b) 79 (c) 96 (d) 81
  3. 3.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 71 (c) 111 (d) 56
  4. 4.What is the average of 9, 27, 9, 18, 21 and 48? (a) 22 (b) 21 (c) 24 (d) 23
  5. 5.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 16 (c) 21 (d) 6
  6. 6.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 18 (b) 27 (c) 51 (d) 42
  7. 7.What is the average of all the whole numbers from 14 to 44? (a) 29 (b) 28 (c) 15 (d) 30
  8. 8.What is the average of all the whole numbers from 54 to 92? (a) 73 (b) 38 (c) 19 (d) 74
  9. 9.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 61 (b) 57 (c) 40 (d) 93
  10. 10.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 32 (b) 37 (c) 61 (d) 33
  11. 11.What is the average of 51, 49, 43, 46, 53 and 46? (a) 48 (b) 47 (c) 49 (d) 50
  12. 12.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 53 (b) 41 (c) 78 (d) 16
  13. 13.What is the average of 35, 20, 29, 50, 44 and 32? (a) 36 (b) 35 (c) 42 (d) 34
  14. 14.What is the average of 80, 68, 72, 81, 75 and 62? (a) 73 (b) 75 (c) 74 (d) 72
  15. 15.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 7 (b) 6 (c) 20 (d) 42
  16. 16.What is the average of 46, 38, 43 and 53? (a) 60 (b) 46 (c) 45 (d) 44
  17. 17.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 32 (c) 72 (d) 48
  18. 18.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 57 (b) 29 (c) 34 (d) 6
  19. 19.What is the average of 34, 37, 37, 49, 35 and 78? (a) 44 (b) 45 (c) 54 (d) 46
  20. 20.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 69 (c) 57 (d) 15
  21. 21.What is the average of 27, 18, 9, 10, 14 and 48? (a) 20 (b) 23 (c) 21 (d) 22
  22. 22.What is the average of 49, 43, 31, 38 and 49? (a) 41 (b) 43 (c) 42 (d) 44
  23. 23.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 25 (c) 47 (d) 46
  24. 24.What is the average of all the whole numbers from 43 to 55? (a) 12 (b) 50 (c) 6 (d) 49
  25. 25.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 105 (b) 65 (c) 73 (d) 48
  26. 26.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 47 (c) 18 (d) 62
  27. 27.What is the average of all the whole numbers from 55 to 73? (a) 65 (b) 18 (c) 64 (d) 9
  28. 28.What is the average of 44, 36, 44, 26, 51 and 33? (a) 39 (b) 40 (c) 41 (d) 38
  29. 29.What is the average of 64, 54, 54 and 68? (a) 61 (b) 59 (c) 60 (d) 80
  30. 30.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 12 (c) 39 (d) 30
  31. 31.What is the average of 68, 52, 51, 71, 49 and 69? (a) 60 (b) 61 (c) 72 (d) 59
  32. 32.What is the average of 40, 51, 24 and 41? (a) 52 (b) 38 (c) 40 (d) 39
  33. 33.What is the average of all the whole numbers from 24 to 62? (a) 19 (b) 38 (c) 43 (d) 44
  34. 34.What is the average of 34, 44, 28, 44 and 20? (a) 34 (b) 36 (c) 33 (d) 35
  35. 35.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 31 (b) 17 (c) 12 (d) 26
  36. 36.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 22 (c) 18 (d) 41
  37. 37.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 70 (b) 50 (c) 43 (d) 106
  38. 38.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 29 (b) 30 (c) 41 (d) 85
  39. 39.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 39 (b) 38 (c) 40 (d) 21
  40. 40.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 8 (c) 16 (d) 25

Answer key

  1. 40
  2. 80
  3. 111
  4. 22
  5. 21
  6. 42
  7. 29
  8. 73
  9. 93
  10. 61
  11. 48
  12. 53
  13. 35
  14. 73
  15. 6
  16. 45
  17. 72
  18. 34
  19. 45
  20. 69
  21. 21
  22. 42
  23. 46
  24. 49
  25. 105
  26. 62
  27. 64
  28. 39
  29. 60
  30. 39
  31. 60
  32. 39
  33. 43
  34. 34
  35. 26
  36. 37
  37. 106
  38. 29
  39. 39
  40. 24

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