← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 9 · 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 8 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 8 (b) 99 (c) 50 (d) 57
  2. 2.What is the average of all the whole numbers from 43 to 69? (a) 57 (b) 26 (c) 56 (d) 13
  3. 3.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 63 (b) 74 (c) 67 (d) 123
  4. 4.What is the average of 43, 55, 61, 68, 51 and 64? (a) 56 (b) 59 (c) 58 (d) 57
  5. 5.What is the average of 42, 43, 50, 57, 43 and 95? (a) 55 (b) 56 (c) 54 (d) 66
  6. 6.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 34 (b) 50 (c) 74 (d) 29
  7. 7.What is the average of 9, 13, 14, 30 and 54? (a) 23 (b) 30 (c) 24 (d) 25
  8. 8.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 35 (b) 12 (c) 49 (d) 26
  9. 9.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 45 (b) 87 (c) 21 (d) 63
  10. 10.What is the average of all the whole numbers from 21 to 55? (a) 17 (b) 39 (c) 38 (d) 34
  11. 11.What is the average of 33, 35, 33, 40, 38 and 103? (a) 46 (b) 48 (c) 49 (d) 47
  12. 12.What is the average of 25, 16, 36, 12, 10 and 27? (a) 22 (b) 20 (c) 23 (d) 21
  13. 13.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 18 (b) 43 (c) 83 (d) 58
  14. 14.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 44 (c) 12 (d) 50
  15. 15.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 39 (b) 31 (c) 32 (d) 55
  16. 16.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 46 (c) 41 (d) 25
  17. 17.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 66 (b) 59 (c) 28 (d) 35
  18. 18.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 25 (c) 55 (d) 27
  19. 19.What is the average of all the whole numbers from 7 to 15? (a) 8 (b) 4 (c) 12 (d) 11
  20. 20.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 12 (b) 33 (c) 36 (d) 42
  21. 21.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 52 (b) 37 (c) 25 (d) 32
  22. 22.What is the average of 39, 42, 51 and 84? (a) 72 (b) 53 (c) 54 (d) 55
  23. 23.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 58 (b) 41 (c) 23 (d) 40
  24. 24.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 56 (b) 27 (c) 34 (d) 76
  25. 25.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 57 (b) 52 (c) 72 (d) 25
  26. 26.What is the average of all the whole numbers from 32 to 62? (a) 47 (b) 15 (c) 48 (d) 30
  27. 27.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 57 (c) 30 (d) 84
  28. 28.What is the average of 49, 54, 67, 45, 59 and 74? (a) 59 (b) 58 (c) 60 (d) 57
  29. 29.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 48 (b) 94 (c) 62 (d) 16
  30. 30.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 16 (b) 39 (c) 53 (d) 76
  31. 31.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 49 (b) 26 (c) 24 (d) 47
  32. 32.What is the average of 47, 36, 50, 27, 31 and 25? (a) 38 (b) 37 (c) 35 (d) 36
  33. 33.What is the average of 64, 88, 86, 77 and 80? (a) 80 (b) 81 (c) 78 (d) 79
  34. 34.What is the average of 62, 55, 68, 72 and 43? (a) 75 (b) 60 (c) 59 (d) 61
  35. 35.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 51 (c) 8 (d) 44
  36. 36.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 40 (b) 33 (c) 19 (d) 54
  37. 37.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 66 (c) 38 (d) 36
  38. 38.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 57 (b) 87 (c) 42 (d) 51
  39. 39.What is the average of all the whole numbers from 34 to 44? (a) 5 (b) 40 (c) 39 (d) 10
  40. 40.What is the average of 70, 70, 70 and 70? (a) 70 (b) 69 (c) 71 (d) 72

Answer key

  1. 57
  2. 56
  3. 123
  4. 57
  5. 55
  6. 74
  7. 24
  8. 35
  9. 63
  10. 38
  11. 47
  12. 21
  13. 58
  14. 50
  15. 55
  16. 41
  17. 59
  18. 24
  19. 11
  20. 42
  21. 52
  22. 54
  23. 58
  24. 76
  25. 72
  26. 47
  27. 84
  28. 58
  29. 62
  30. 53
  31. 47
  32. 36
  33. 79
  34. 60
  35. 51
  36. 54
  37. 66
  38. 87
  39. 39
  40. 70

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