← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 998 · 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 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 40 (c) 50 (d) 80
  2. 2.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 40 (c) 60 (d) 45
  3. 3.What is the average of 77, 62, 66, 73 and 97? (a) 76 (b) 74 (c) 77 (d) 75
  4. 4.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 36 (b) 61 (c) 67 (d) 30
  5. 5.What is the average of 34, 28, 30, 27 and 81? (a) 39 (b) 41 (c) 50 (d) 40
  6. 6.What is the average of 34, 21, 39, 23, 16 and 41? (a) 31 (b) 28 (c) 30 (d) 29
  7. 7.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 45 (b) 35 (c) 14 (d) 33
  8. 8.What is the average of 53, 53, 26, 28, 25 and 55? (a) 39 (b) 40 (c) 41 (d) 48
  9. 9.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 12 (b) 45 (c) 13 (d) 21
  10. 10.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 22 (c) 5 (d) 26
  11. 11.What is the average of all the whole numbers from 29 to 37? (a) 34 (b) 8 (c) 33 (d) 4
  12. 12.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 67 (b) 83 (c) 24 (d) 63
  13. 13.What is the average of all the whole numbers from 41 to 77? (a) 59 (b) 60 (c) 18 (d) 36
  14. 14.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 49 (c) 86 (d) 44
  15. 15.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 26 (c) 27 (d) 25
  16. 16.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 8 (b) 41 (c) 48 (d) 81
  17. 17.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 89 (c) 42 (d) 61
  18. 18.What is the average of 61, 53, 52, 45 and 79? (a) 57 (b) 60 (c) 59 (d) 58
  19. 19.What is the average of 59, 36, 40 and 53? (a) 49 (b) 48 (c) 46 (d) 47
  20. 20.What is the average of 54, 60, 43, 41 and 82? (a) 56 (b) 55 (c) 57 (d) 70
  21. 21.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 12 (b) 46 (c) 37 (d) 40
  22. 22.What is the average of 77, 75, 58 and 78? (a) 73 (b) 71 (c) 96 (d) 72
  23. 23.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 38 (b) 44 (c) 37 (d) 89
  24. 24.What is the average of all the whole numbers from 14 to 42? (a) 27 (b) 14 (c) 29 (d) 28
  25. 25.What is the average of 48, 37, 26, 26 and 48? (a) 39 (b) 38 (c) 37 (d) 36
  26. 26.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 48 (c) 35 (d) 73
  27. 27.What is the average of all the whole numbers from 41 to 67? (a) 55 (b) 54 (c) 26 (d) 13
  28. 28.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 50 (b) 102 (c) 43 (d) 42
  29. 29.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 5 (b) 4 (c) 28 (d) 60
  30. 30.What is the average of 32, 26, 10, 34 and 8? (a) 23 (b) 22 (c) 21 (d) 24
  31. 31.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 15 (b) 37 (c) 47 (d) 25
  32. 32.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 30 (b) 65 (c) 60 (d) 85
  33. 33.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 24 (c) 57 (d) 28
  34. 34.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 45 (b) 30 (c) 31 (d) 95
  35. 35.What is the average of 26, 21, 21 and 64? (a) 32 (b) 44 (c) 34 (d) 33
  36. 36.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 105 (c) 56 (d) 104
  37. 37.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 12 (b) 50 (c) 41 (d) 79
  38. 38.What is the average of 33, 34, 24, 25 and 24? (a) 29 (b) 27 (c) 28 (d) 35
  39. 39.What is the average of 64, 85, 80, 70 and 86? (a) 76 (b) 79 (c) 77 (d) 78
  40. 40.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 40 (b) 18 (c) 77 (d) 55

Answer key

  1. 80
  2. 60
  3. 75
  4. 61
  5. 40
  6. 29
  7. 45
  8. 40
  9. 12
  10. 26
  11. 33
  12. 83
  13. 59
  14. 86
  15. 26
  16. 48
  17. 89
  18. 58
  19. 47
  20. 56
  21. 46
  22. 72
  23. 37
  24. 28
  25. 37
  26. 73
  27. 54
  28. 42
  29. 4
  30. 22
  31. 37
  32. 85
  33. 24
  34. 30
  35. 33
  36. 104
  37. 50
  38. 28
  39. 77
  40. 55

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