← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 845 · 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 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 44 (c) 14 (d) 54
  2. 2.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 4 (c) 18 (d) 35
  3. 3.What is the average of 72, 71, 62 and 95? (a) 100 (b) 74 (c) 76 (d) 75
  4. 4.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 29 (c) 30 (d) 45
  5. 5.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 53 (b) 42 (c) 46 (d) 81
  6. 6.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) 34 (c) 36 (d) 58
  7. 7.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 49 (b) 51 (c) 58 (d) 93
  8. 8.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 45 (b) 5 (c) 49 (d) 89
  9. 9.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 45 (c) 15 (d) 54
  10. 10.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 40 (b) 10 (c) 48 (d) 78
  11. 11.What is the average of all the whole numbers from 10 to 44? (a) 28 (b) 27 (c) 17 (d) 34
  12. 12.What is the average of all the whole numbers from 22 to 56? (a) 34 (b) 17 (c) 40 (d) 39
  13. 13.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 14 (c) 12 (d) 24
  14. 14.What is the average of all the whole numbers from 11 to 39? (a) 28 (b) 25 (c) 26 (d) 14
  15. 15.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 59? (a) 61 (b) 69 (c) 59 (d) 12
  16. 16.What is the average of 39, 36, 41 and 80? (a) 49 (b) 48 (c) 51 (d) 50
  17. 17.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 45 (c) 22 (d) 21
  18. 18.What is the average of all the whole numbers from 49 to 55? (a) 3 (b) 6 (c) 52 (d) 53
  19. 19.What is the average of all the whole numbers from 56 to 82? (a) 26 (b) 69 (c) 70 (d) 13
  20. 20.What is the average of all the whole numbers from 29 to 55? (a) 26 (b) 43 (c) 13 (d) 42
  21. 21.What is the average of 31, 36, 17, 17 and 39? (a) 27 (b) 29 (c) 28 (d) 35
  22. 22.What is the average of all the whole numbers from 26 to 38? (a) 33 (b) 12 (c) 32 (d) 6
  23. 23.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 49 (c) 60 (d) 97
  24. 24.What is the average of all the whole numbers from 54 to 60? (a) 3 (b) 57 (c) 58 (d) 6
  25. 25.What is the average of all the whole numbers from 46 to 54? (a) 51 (b) 50 (c) 8 (d) 4
  26. 26.What is the average of all the whole numbers from 10 to 26? (a) 18 (b) 16 (c) 19 (d) 8
  27. 27.What is the average of 46, 57, 66, 43 and 58? (a) 56 (b) 55 (c) 53 (d) 54
  28. 28.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 30 (c) 21 (d) 48
  29. 29.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 68 (c) 50 (d) 24
  30. 30.What is the average of all the whole numbers from 44 to 76? (a) 32 (b) 61 (c) 60 (d) 16
  31. 31.What is the average of all the whole numbers from 41 to 49? (a) 8 (b) 46 (c) 4 (d) 45
  32. 32.What is the average of 38, 53, 37 and 60? (a) 48 (b) 49 (c) 46 (d) 47
  33. 33.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 25 (b) 24 (c) 70 (d) 34
  34. 34.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 24 (b) 42 (c) 21 (d) 39
  35. 35.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 37 (b) 73 (c) 4 (d) 40
  36. 36.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 40 (c) 34 (d) 8
  37. 37.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 20 (b) 87 (c) 61 (d) 46
  38. 38.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 75 (b) 38 (c) 45 (d) 8
  39. 39.What is the average of 49, 29, 52, 24 and 36? (a) 40 (b) 37 (c) 39 (d) 38
  40. 40.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 18 (c) 19 (d) 21

Answer key

  1. 54
  2. 21
  3. 75
  4. 29
  5. 81
  6. 58
  7. 93
  8. 49
  9. 54
  10. 48
  11. 27
  12. 39
  13. 24
  14. 25
  15. 69
  16. 49
  17. 21
  18. 52
  19. 69
  20. 42
  21. 28
  22. 32
  23. 97
  24. 57
  25. 50
  26. 18
  27. 54
  28. 48
  29. 68
  30. 60
  31. 45
  32. 47
  33. 24
  34. 42
  35. 40
  36. 40
  37. 61
  38. 45
  39. 38
  40. 18

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