← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 242 · 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 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 86 (b) 54 (c) 36 (d) 58
  2. 2.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 76 (c) 34 (d) 54
  3. 3.What is the average of 38, 50, 57 and 59? (a) 50 (b) 52 (c) 68 (d) 51
  4. 4.What is the average of all the whole numbers from 20 to 60? (a) 41 (b) 40 (c) 39 (d) 20
  5. 5.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 74 (c) 65 (d) 15
  6. 6.What is the average of 23, 30, 32, 31, 15 and 13? (a) 25 (b) 26 (c) 24 (d) 23
  7. 7.What is the average of 56, 43, 62, 46 and 28? (a) 49 (b) 48 (c) 46 (d) 47
  8. 8.What is the average of 64, 53, 65, 42 and 51? (a) 54 (b) 57 (c) 55 (d) 56
  9. 9.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 10 (b) 25 (c) 15 (d) 20
  10. 10.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 49 (b) 28 (c) 25 (d) 46
  11. 11.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 40 (b) 27 (c) 51 (d) 16
  12. 12.What is the average of 51, 81, 66, 59, 67 and 72? (a) 67 (b) 68 (c) 66 (d) 65
  13. 13.What is the average of all the whole numbers from 11 to 43? (a) 32 (b) 16 (c) 28 (d) 27
  14. 14.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 51 (b) 63 (c) 40 (d) 28
  15. 15.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 36 (c) 61 (d) 60
  16. 16.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 75 (c) 35 (d) 45
  17. 17.What is the average of 60, 57, 35, 35, 44 and 57? (a) 47 (b) 48 (c) 50 (d) 49
  18. 18.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 43 (c) 47 (d) 25
  19. 19.What is the average of all the whole numbers from 37 to 57? (a) 47 (b) 10 (c) 48 (d) 20
  20. 20.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 41 (b) 95 (c) 47 (d) 40
  21. 21.What is the average of all the whole numbers from 30 to 42? (a) 6 (b) 12 (c) 37 (d) 36
  22. 22.What is the average of all the whole numbers from 33 to 41? (a) 8 (b) 38 (c) 37 (d) 4
  23. 23.What is the average of 46, 23, 52 and 27? (a) 39 (b) 37 (c) 36 (d) 38
  24. 24.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 28 (c) 66 (d) 86
  25. 25.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 69 (b) 55 (c) 57 (d) 16
  26. 26.What is the average of 90, 71, 79, 94 and 61? (a) 81 (b) 79 (c) 78 (d) 80
  27. 27.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 75 (b) 59 (c) 32 (d) 51
  28. 28.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 55 (b) 70 (c) 52 (d) 21
  29. 29.What is the average of 71, 82, 85, 66, 66 and 104? (a) 79 (b) 80 (c) 78 (d) 81
  30. 30.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 35 (b) 32 (c) 62 (d) 59
  31. 31.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 21 (b) 79 (c) 59 (d) 41
  32. 32.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 25 (b) 42 (c) 37 (d) 57
  33. 33.What is the average of 42, 63, 48, 72 and 60? (a) 57 (b) 56 (c) 59 (d) 58
  34. 34.What is the average of 40, 36, 28, 23, 32 and 21? (a) 30 (b) 31 (c) 29 (d) 36
  35. 35.What is the average of all the whole numbers from 50 to 86? (a) 18 (b) 68 (c) 36 (d) 69
  36. 36.What is the average of 21, 37, 40, 22 and 30? (a) 32 (b) 31 (c) 30 (d) 29
  37. 37.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 64 (b) 53 (c) 101 (d) 45
  38. 38.What is the average of all the whole numbers from 23 to 43? (a) 10 (b) 34 (c) 33 (d) 20
  39. 39.What is the average of all the whole numbers from 49 to 59? (a) 5 (b) 10 (c) 54 (d) 55
  40. 40.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 48 (c) 30 (d) 31

Answer key

  1. 86
  2. 76
  3. 51
  4. 40
  5. 74
  6. 24
  7. 47
  8. 55
  9. 25
  10. 49
  11. 51
  12. 66
  13. 27
  14. 63
  15. 60
  16. 75
  17. 48
  18. 43
  19. 47
  20. 40
  21. 36
  22. 37
  23. 37
  24. 86
  25. 69
  26. 79
  27. 75
  28. 70
  29. 79
  30. 62
  31. 59
  32. 57
  33. 57
  34. 30
  35. 68
  36. 30
  37. 101
  38. 33
  39. 54
  40. 30

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