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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 706 · 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 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 69 (c) 57 (d) 20
  2. 2.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 12 (c) 23 (d) 32
  3. 3.What is the average of 37, 55, 44, 49 and 60? (a) 50 (b) 48 (c) 49 (d) 51
  4. 4.What is the average of all the whole numbers from 9 to 15? (a) 13 (b) 12 (c) 3 (d) 6
  5. 5.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 77 (b) 12 (c) 49 (d) 40
  6. 6.What is the average of 10, 19, 8 and 55? (a) 22 (b) 23 (c) 25 (d) 24
  7. 7.What is the average of all the whole numbers from 22 to 42? (a) 20 (b) 10 (c) 33 (d) 32
  8. 8.What is the average of all the whole numbers from 42 to 48? (a) 6 (b) 46 (c) 3 (d) 45
  9. 9.What is the average of 27, 29, 23, 48 and 53? (a) 45 (b) 37 (c) 35 (d) 36
  10. 10.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 48 (b) 53 (c) 89 (d) 47
  11. 11.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 2 (b) 16 (c) 37 (d) 1
  12. 12.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 53 (c) 8 (d) 92
  13. 13.What is the average of all the whole numbers from 27 to 51? (a) 39 (b) 40 (c) 12 (d) 24
  14. 14.What is the average of all the whole numbers from 27 to 45? (a) 18 (b) 36 (c) 9 (d) 37
  15. 15.What is the average of all the whole numbers from 45 to 63? (a) 9 (b) 54 (c) 55 (d) 18
  16. 16.What is the average of 30, 15, 32, 30, 16 and 57? (a) 30 (b) 36 (c) 31 (d) 29
  17. 17.What is the average of 52, 42, 26 and 36? (a) 39 (b) 52 (c) 40 (d) 38
  18. 18.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 34 (b) 42 (c) 35 (d) 86
  19. 19.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 91 (b) 48 (c) 83 (d) 40
  20. 20.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 38 (c) 56 (d) 30
  21. 21.What is the average of 52, 52, 36 and 40? (a) 46 (b) 60 (c) 45 (d) 44
  22. 22.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 35 (c) 33 (d) 63
  23. 23.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 6 (b) 47 (c) 29 (d) 24
  24. 24.What is the average of all the whole numbers from 31 to 49? (a) 9 (b) 40 (c) 41 (d) 18
  25. 25.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 56 (c) 70 (d) 62
  26. 26.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 41 (b) 32 (c) 15 (d) 29
  27. 27.What is the average of all the whole numbers from 36 to 60? (a) 48 (b) 12 (c) 24 (d) 49
  28. 28.What is the average of all the whole numbers from 33 to 39? (a) 3 (b) 36 (c) 37 (d) 6
  29. 29.What is the average of 20, 19, 18 and 63? (a) 31 (b) 40 (c) 29 (d) 30
  30. 30.What is the average of all the whole numbers from 59 to 85? (a) 13 (b) 26 (c) 73 (d) 72
  31. 31.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 61? (a) 32 (b) 85 (c) 61 (d) 69
  32. 32.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 50 (c) 40 (d) 82
  33. 33.What is the average of all the whole numbers from 53 to 83? (a) 15 (b) 69 (c) 68 (d) 30
  34. 34.What is the average of all the whole numbers from 14 to 20? (a) 3 (b) 18 (c) 17 (d) 6
  35. 35.What is the average of 14, 32, 36 and 6? (a) 21 (b) 24 (c) 23 (d) 22
  36. 36.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 79 (b) 44 (c) 42 (d) 51
  37. 37.What is the average of 71, 64, 67, 70 and 58? (a) 67 (b) 68 (c) 66 (d) 65
  38. 38.What is the average of all the whole numbers from 14 to 46? (a) 30 (b) 31 (c) 16 (d) 32
  39. 39.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 12 (b) 34 (c) 25 (d) 47
  40. 40.What is the average of 34, 17, 35, 37, 29 and 10? (a) 26 (b) 29 (c) 28 (d) 27

Answer key

  1. 69
  2. 32
  3. 49
  4. 12
  5. 49
  6. 23
  7. 32
  8. 45
  9. 36
  10. 89
  11. 1
  12. 53
  13. 39
  14. 36
  15. 54
  16. 30
  17. 39
  18. 34
  19. 83
  20. 56
  21. 45
  22. 63
  23. 29
  24. 40
  25. 110
  26. 41
  27. 48
  28. 36
  29. 30
  30. 72
  31. 85
  32. 82
  33. 68
  34. 17
  35. 22
  36. 79
  37. 66
  38. 30
  39. 34
  40. 27

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