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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 740 · 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.What is the average of all the whole numbers from 15 to 55? (a) 40 (b) 36 (c) 20 (d) 35
  2. 2.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 45 (b) 51 (c) 86 (d) 46
  3. 3.What is the average of all the whole numbers from 5 to 13? (a) 9 (b) 4 (c) 8 (d) 10
  4. 4.What is the average of 74, 52, 78, 49 and 62? (a) 65 (b) 63 (c) 62 (d) 64
  5. 5.What is the average of all the whole numbers from 11 to 43? (a) 28 (b) 32 (c) 16 (d) 27
  6. 6.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 77 (b) 32 (c) 38 (d) 31
  7. 7.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 14 (c) 24 (d) 25
  8. 8.What is the average of 14, 26, 32, 16 and 37? (a) 24 (b) 25 (c) 27 (d) 26
  9. 9.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 57 (b) 99 (c) 54 (d) 51
  10. 10.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 72 (b) 99 (c) 35 (d) 43
  11. 11.What is the average of 41, 46, 55, 48 and 15? (a) 40 (b) 43 (c) 42 (d) 41
  12. 12.What is the average of all the whole numbers from 8 to 46? (a) 19 (b) 38 (c) 27 (d) 28
  13. 13.What is the average of 63, 88, 68, 76 and 85? (a) 76 (b) 77 (c) 75 (d) 95
  14. 14.What is the average of all the whole numbers from 49 to 63? (a) 57 (b) 7 (c) 56 (d) 14
  15. 15.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 36 (b) 69 (c) 37 (d) 41
  16. 16.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 31 (b) 36 (c) 59 (d) 27
  17. 17.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 2 (b) 14 (c) 31 (d) 3
  18. 18.What is the average of all the whole numbers from 9 to 29? (a) 19 (b) 20 (c) 18 (d) 10
  19. 19.What is the average of all the whole numbers from 45 to 61? (a) 8 (b) 54 (c) 16 (d) 53
  20. 20.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 76 (c) 52 (d) 40
  21. 21.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 15 (c) 31 (d) 11
  22. 22.What is the average of all the whole numbers from 30 to 66? (a) 18 (b) 48 (c) 36 (d) 49
  23. 23.What is the average of all the whole numbers from 60 to 66? (a) 6 (b) 3 (c) 63 (d) 64
  24. 24.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 25 (c) 47 (d) 67
  25. 25.What is the average of 13, 7, 17 and 47? (a) 20 (b) 28 (c) 22 (d) 21
  26. 26.What is the average of all the whole numbers from 31 to 51? (a) 10 (b) 20 (c) 41 (d) 42
  27. 27.What is the average of all the whole numbers from 31 to 61? (a) 30 (b) 47 (c) 46 (d) 15
  28. 28.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 6 (b) 40 (c) 5 (d) 19
  29. 29.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 12 (c) 27 (d) 37
  30. 30.What is the average of all the whole numbers from 45 to 53? (a) 49 (b) 50 (c) 8 (d) 4
  31. 31.What is the average of 11, 9, 27, 8, 23 and 54? (a) 23 (b) 21 (c) 24 (d) 22
  32. 32.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 33 (b) 13 (c) 24 (d) 22
  33. 33.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 33 (c) 100 (d) 32
  34. 34.What is the average of 83, 57, 78, 66 and 71? (a) 70 (b) 72 (c) 71 (d) 73
  35. 35.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 70 (b) 34 (c) 40 (d) 42
  36. 36.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 89 (b) 42 (c) 27 (d) 28
  37. 37.What is the average of 56, 52, 71, 49, 70 and 62? (a) 61 (b) 59 (c) 72 (d) 60
  38. 38.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 56? (a) 63 (b) 35 (c) 84 (d) 56
  39. 39.What is the average of all the whole numbers from 35 to 57? (a) 22 (b) 11 (c) 47 (d) 46
  40. 40.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) 32 (b) 16 (c) 34 (d) 46

Answer key

  1. 35
  2. 86
  3. 9
  4. 63
  5. 27
  6. 31
  7. 25
  8. 25
  9. 99
  10. 99
  11. 41
  12. 27
  13. 76
  14. 56
  15. 69
  16. 59
  17. 2
  18. 19
  19. 53
  20. 76
  21. 11
  22. 48
  23. 63
  24. 67
  25. 21
  26. 41
  27. 46
  28. 5
  29. 37
  30. 49
  31. 22
  32. 33
  33. 32
  34. 71
  35. 70
  36. 27
  37. 60
  38. 84
  39. 46
  40. 46

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