← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 777 · 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 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 60 (b) 116 (c) 62 (d) 68
  2. 2.What is the average of all the whole numbers from 60 to 100? (a) 80 (b) 40 (c) 81 (d) 20
  3. 3.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 63 (c) 10 (d) 57
  4. 4.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 48 (c) 45 (d) 4
  5. 5.What is the average of all the whole numbers from 39 to 77? (a) 38 (b) 59 (c) 19 (d) 58
  6. 6.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 7 (c) 12 (d) 8
  7. 7.What is the average of 22, 48, 24 and 46? (a) 37 (b) 36 (c) 35 (d) 34
  8. 8.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 86 (b) 36 (c) 37 (d) 42
  9. 9.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 8 (c) 27 (d) 33
  10. 10.What is the average of all the whole numbers from 37 to 75? (a) 38 (b) 19 (c) 57 (d) 56
  11. 11.What is the average of all the whole numbers from 5 to 11? (a) 3 (b) 6 (c) 8 (d) 9
  12. 12.What is the average of 65, 56, 82 and 77? (a) 72 (b) 70 (c) 69 (d) 71
  13. 13.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 35 (c) 8 (d) 25
  14. 14.What is the average of all the whole numbers from 40 to 76? (a) 58 (b) 18 (c) 36 (d) 59
  15. 15.What is the average of 61, 59, 73 and 71? (a) 66 (b) 88 (c) 67 (d) 65
  16. 16.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 28 (c) 52 (d) 44
  17. 17.What is the average of 18, 17, 16, 37, 30 and 32? (a) 25 (b) 24 (c) 26 (d) 30
  18. 18.What is the average of 78, 81, 65 and 72? (a) 75 (b) 73 (c) 76 (d) 74
  19. 19.What is the average of 56, 62, 59 and 75? (a) 64 (b) 62 (c) 84 (d) 63
  20. 20.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 8 (b) 40 (c) 27 (d) 21
  21. 21.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 33 (c) 61 (d) 32
  22. 22.What is the average of 38, 28, 43, 29 and 57? (a) 40 (b) 39 (c) 38 (d) 41
  23. 23.What is the average of 36, 25, 26, 38 and 60? (a) 37 (b) 39 (c) 36 (d) 38
  24. 24.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 19 (b) 33 (c) 34 (d) 20
  25. 25.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 61 (b) 24 (c) 43 (d) 49
  26. 26.What is the average of 26, 23, 32 and 23? (a) 28 (b) 25 (c) 27 (d) 26
  27. 27.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 14 (b) 57 (c) 67 (d) 55
  28. 28.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 55 (c) 61 (d) 12
  29. 29.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 59 (b) 47 (c) 16 (d) 90
  30. 30.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 29 (c) 7 (d) 8
  31. 31.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 101 (b) 53 (c) 60 (d) 47
  32. 32.What is the average of all the whole numbers from 7 to 47? (a) 28 (b) 27 (c) 20 (d) 40
  33. 33.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 28 (c) 16 (d) 29
  34. 34.What is the average of 83, 79, 58 and 60? (a) 69 (b) 71 (c) 70 (d) 72
  35. 35.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 40 (c) 65 (d) 35
  36. 36.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) 39 (b) 53 (c) 76 (d) 16
  37. 37.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 38 (b) 74 (c) 8 (d) 44
  38. 38.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 34 (b) 65 (c) 46 (d) 15
  39. 39.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 32 (c) 16 (d) 46
  40. 40.What is the average of all the whole numbers from 21 to 51? (a) 30 (b) 36 (c) 37 (d) 15

Answer key

  1. 116
  2. 80
  3. 63
  4. 48
  5. 58
  6. 7
  7. 35
  8. 36
  9. 33
  10. 56
  11. 8
  12. 70
  13. 25
  14. 58
  15. 66
  16. 44
  17. 25
  18. 74
  19. 63
  20. 27
  21. 61
  22. 39
  23. 37
  24. 34
  25. 61
  26. 26
  27. 67
  28. 61
  29. 59
  30. 7
  31. 101
  32. 27
  33. 29
  34. 70
  35. 65
  36. 53
  37. 44
  38. 46
  39. 46
  40. 36

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