← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 649 · 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 66, 74, 91, 76 and 93? (a) 100 (b) 81 (c) 79 (d) 80
  2. 2.What is the average of all the whole numbers from 50 to 68? (a) 9 (b) 18 (c) 59 (d) 60
  3. 3.What is the average of 73, 57, 58 and 64? (a) 64 (b) 84 (c) 62 (d) 63
  4. 4.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 12 (c) 33 (d) 43
  5. 5.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 96 (b) 42 (c) 60 (d) 66
  6. 6.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 46 (b) 10 (c) 38 (d) 74
  7. 7.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 50 (b) 43 (c) 85 (d) 8
  8. 8.What is the average of 15, 31, 39, 34, 16 and 33? (a) 30 (b) 28 (c) 29 (d) 27
  9. 9.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 62 (c) 28 (d) 83
  10. 10.What is the average of all the whole numbers from 53 to 75? (a) 11 (b) 65 (c) 22 (d) 64
  11. 11.What is the average of 71, 83, 69, 63 and 94? (a) 76 (b) 95 (c) 77 (d) 75
  12. 12.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 6 (b) 7 (c) 21 (d) 45
  13. 13.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 60 (c) 40 (d) 76
  14. 14.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 4 (b) 53 (c) 24 (d) 5
  15. 15.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 74 (c) 40 (d) 76
  16. 16.What is the average of all the whole numbers from 50 to 78? (a) 64 (b) 65 (c) 28 (d) 14
  17. 17.What is the average of all the whole numbers from 19 to 37? (a) 29 (b) 18 (c) 9 (d) 28
  18. 18.What is the average of 73, 59, 59, 65, 50 and 60? (a) 60 (b) 63 (c) 61 (d) 62
  19. 19.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 30 (b) 15 (c) 27 (d) 39
  20. 20.What is the average of all the whole numbers from 44 to 74? (a) 59 (b) 15 (c) 30 (d) 60
  21. 21.What is the average of 33, 27, 13, 35, 29 and 13? (a) 25 (b) 26 (c) 30 (d) 24
  22. 22.What is the average of 27, 13, 12 and 32? (a) 28 (b) 22 (c) 20 (d) 21
  23. 23.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 31? (a) 31 (b) 37 (c) 54 (d) 79
  24. 24.What is the average of 70, 70, 74 and 82? (a) 74 (b) 73 (c) 76 (d) 75
  25. 25.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 4 (b) 97 (c) 49 (d) 52
  26. 26.What is the average of all the whole numbers from 5 to 15? (a) 11 (b) 9 (c) 5 (d) 10
  27. 27.What is the average of 65, 89, 73 and 77? (a) 78 (b) 75 (c) 77 (d) 76
  28. 28.What is the average of 28, 36, 10, 19 and 22? (a) 25 (b) 23 (c) 22 (d) 24
  29. 29.What is the average of 17, 15, 36, 21 and 26? (a) 22 (b) 24 (c) 25 (d) 23
  30. 30.What is the average of 58, 70, 47, 64, 66 and 55? (a) 61 (b) 60 (c) 59 (d) 72
  31. 31.What is the average of 16, 33, 26 and 5? (a) 22 (b) 19 (c) 20 (d) 21
  32. 32.What is the average of all the whole numbers from 23 to 57? (a) 34 (b) 41 (c) 40 (d) 17
  33. 33.What is the average of all the whole numbers from 15 to 49? (a) 34 (b) 33 (c) 32 (d) 17
  34. 34.What is the average of 62, 72, 56 and 66? (a) 65 (b) 64 (c) 63 (d) 66
  35. 35.What is the average of all the whole numbers from 27 to 41? (a) 35 (b) 14 (c) 34 (d) 7
  36. 36.What is the average of 27, 53, 33 and 55? (a) 43 (b) 42 (c) 56 (d) 41
  37. 37.What is the average of all the whole numbers from 30 to 66? (a) 36 (b) 18 (c) 49 (d) 48
  38. 38.What is the average of 71, 51, 50, 65 and 68? (a) 62 (b) 60 (c) 61 (d) 63
  39. 39.What is the average of 45, 63, 64 and 40? (a) 55 (b) 53 (c) 54 (d) 52
  40. 40.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 130 (b) 66 (c) 74 (d) 72

Answer key

  1. 80
  2. 59
  3. 63
  4. 43
  5. 96
  6. 46
  7. 50
  8. 28
  9. 83
  10. 64
  11. 76
  12. 6
  13. 60
  14. 4
  15. 75
  16. 64
  17. 28
  18. 61
  19. 39
  20. 59
  21. 25
  22. 21
  23. 79
  24. 74
  25. 52
  26. 10
  27. 76
  28. 23
  29. 23
  30. 60
  31. 20
  32. 40
  33. 32
  34. 64
  35. 34
  36. 42
  37. 48
  38. 61
  39. 53
  40. 130

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