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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 810 · 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 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 30 (c) 65 (d) 47
  2. 2.What is the average of all the whole numbers from 20 to 28? (a) 4 (b) 25 (c) 8 (d) 24
  3. 3.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 80 (b) 60 (c) 28 (d) 56
  4. 4.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 28 (c) 38 (d) 12
  5. 5.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 10 (b) 55 (c) 11 (d) 25
  6. 6.What is the average of all the whole numbers from 15 to 37? (a) 27 (b) 11 (c) 26 (d) 22
  7. 7.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 34 (c) 24 (d) 13
  8. 8.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 10 (c) 53 (d) 61
  9. 9.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 65 (c) 12 (d) 59
  10. 10.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 32 (c) 76 (d) 60
  11. 11.What is the average of all the whole numbers from 43 to 55? (a) 12 (b) 50 (c) 6 (d) 49
  12. 12.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 64 (b) 60 (c) 52 (d) 108
  13. 13.What is the average of all the whole numbers from 20 to 54? (a) 37 (b) 34 (c) 38 (d) 17
  14. 14.What is the average of all the whole numbers from 43 to 61? (a) 18 (b) 52 (c) 9 (d) 53
  15. 15.What is the average of 27, 21, 26, 50 and 56? (a) 35 (b) 45 (c) 36 (d) 37
  16. 16.What is the average of 60, 77, 64 and 63? (a) 88 (b) 67 (c) 66 (d) 65
  17. 17.What is the average of all the whole numbers from 40 to 50? (a) 5 (b) 45 (c) 10 (d) 46
  18. 18.What is the average of all the whole numbers from 41 to 57? (a) 8 (b) 49 (c) 16 (d) 50
  19. 19.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 69 (c) 24 (d) 94
  20. 20.What is the average of 51, 76, 72 and 65? (a) 88 (b) 67 (c) 66 (d) 65
  21. 21.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 21 (c) 100 (d) 20
  22. 22.What is the average of 67, 64, 56, 79 and 69? (a) 66 (b) 69 (c) 68 (d) 67
  23. 23.What is the average of 28, 18, 34 and 4? (a) 21 (b) 28 (c) 22 (d) 20
  24. 24.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 37 (b) 12 (c) 29 (d) 20
  25. 25.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 8 (b) 38 (c) 31 (d) 61
  26. 26.What is the average of 44, 65, 43 and 68? (a) 56 (b) 55 (c) 54 (d) 57
  27. 27.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 46 (b) 25 (c) 30 (d) 45
  28. 28.What is the average of all the whole numbers from 57 to 91? (a) 75 (b) 17 (c) 34 (d) 74
  29. 29.What is the average of 31, 43, 38, 50, 37 and 35? (a) 38 (b) 40 (c) 41 (d) 39
  30. 30.What is the average of 50, 26, 34, 40, 37 and 53? (a) 39 (b) 40 (c) 48 (d) 41
  31. 31.What is the average of all the whole numbers from 55 to 61? (a) 59 (b) 6 (c) 3 (d) 58
  32. 32.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 21 (c) 70 (d) 22
  33. 33.What is the average of 64, 63, 78, 74 and 36? (a) 64 (b) 65 (c) 63 (d) 62
  34. 34.What is the average of 93, 81, 93 and 49? (a) 80 (b) 79 (c) 78 (d) 81
  35. 35.What is the average of 28, 29, 23 and 12? (a) 22 (b) 25 (c) 23 (d) 24
  36. 36.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 80 (b) 52 (c) 44 (d) 116
  37. 37.What is the average of all the whole numbers from 5 to 41? (a) 36 (b) 24 (c) 23 (d) 18
  38. 38.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 58 (c) 48 (d) 90
  39. 39.What is the average of all the whole numbers from 24 to 42? (a) 33 (b) 9 (c) 18 (d) 34
  40. 40.What is the average of all the whole numbers from 41 to 75? (a) 58 (b) 17 (c) 34 (d) 59

Answer key

  1. 65
  2. 24
  3. 80
  4. 38
  5. 10
  6. 26
  7. 34
  8. 61
  9. 65
  10. 76
  11. 49
  12. 108
  13. 37
  14. 52
  15. 36
  16. 66
  17. 45
  18. 49
  19. 69
  20. 66
  21. 20
  22. 67
  23. 21
  24. 29
  25. 38
  26. 55
  27. 45
  28. 74
  29. 39
  30. 40
  31. 58
  32. 21
  33. 63
  34. 79
  35. 23
  36. 116
  37. 23
  38. 90
  39. 33
  40. 58

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