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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 682 · 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 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 18 (c) 47 (d) 35
  2. 2.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 57 (c) 75 (d) 24
  3. 3.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 85 (b) 43 (c) 7 (d) 49
  4. 4.What is the average of all the whole numbers from 5 to 45? (a) 40 (b) 25 (c) 26 (d) 20
  5. 5.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 16 (c) 29 (d) 31
  6. 6.What is the average of all the whole numbers from 8 to 36? (a) 28 (b) 23 (c) 22 (d) 14
  7. 7.What is the average of 36, 32, 23, 19, 44 and 32? (a) 32 (b) 31 (c) 33 (d) 30
  8. 8.What is the average of all the whole numbers from 17 to 39? (a) 22 (b) 29 (c) 11 (d) 28
  9. 9.What is the average of 49, 49, 49, 59, 38 and 74? (a) 55 (b) 54 (c) 52 (d) 53
  10. 10.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 82 (b) 43 (c) 71 (d) 32
  11. 11.What is the average of 76, 58, 76, 55 and 85? (a) 69 (b) 70 (c) 72 (d) 71
  12. 12.What is the average of 79, 73, 70, 75, 62 and 49? (a) 69 (b) 68 (c) 70 (d) 67
  13. 13.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 39 (b) 14 (c) 19 (d) 13
  14. 14.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 28 (b) 29 (c) 44 (d) 92
  15. 15.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 71 (c) 49 (d) 106
  16. 16.What is the average of all the whole numbers from 42 to 58? (a) 8 (b) 51 (c) 50 (d) 16
  17. 17.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 77 (b) 49 (c) 94 (d) 32
  18. 18.What is the average of all the whole numbers from 59 to 65? (a) 6 (b) 3 (c) 62 (d) 63
  19. 19.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 45? (a) 49 (b) 32 (c) 45 (d) 73
  20. 20.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 20 (b) 78 (c) 66 (d) 62
  21. 21.What is the average of all the whole numbers from 31 to 53? (a) 42 (b) 11 (c) 43 (d) 22
  22. 22.What is the average of 71, 71, 90, 90 and 63? (a) 76 (b) 79 (c) 78 (d) 77
  23. 23.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 60 (c) 32 (d) 39
  24. 24.What is the average of 86, 85, 88, 73 and 63? (a) 79 (b) 78 (c) 81 (d) 80
  25. 25.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 83 (b) 43 (c) 55 (d) 15
  26. 26.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 41 (c) 73 (d) 40
  27. 27.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 26 (b) 73 (c) 35 (d) 27
  28. 28.What is the average of all the whole numbers from 23 to 33? (a) 10 (b) 29 (c) 5 (d) 28
  29. 29.What is the average of all the whole numbers from 10 to 18? (a) 4 (b) 14 (c) 15 (d) 8
  30. 30.What is the average of 25, 35, 36 and 60? (a) 38 (b) 39 (c) 52 (d) 40
  31. 31.What is the average of all the whole numbers from 59 to 93? (a) 76 (b) 34 (c) 77 (d) 17
  32. 32.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 43 (b) 5 (c) 4 (d) 19
  33. 33.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 33 (c) 45 (d) 20
  34. 34.What is the average of all the whole numbers from 35 to 43? (a) 39 (b) 4 (c) 40 (d) 8
  35. 35.What is the average of 84, 73, 76, 88, 67 and 62? (a) 76 (b) 74 (c) 75 (d) 90
  36. 36.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 39? (a) 39 (b) 51 (c) 41 (d) 14
  37. 37.What is the average of 71, 74, 66, 62, 70 and 95? (a) 75 (b) 73 (c) 74 (d) 72
  38. 38.What is the average of 64, 58, 66, 61 and 61? (a) 62 (b) 64 (c) 61 (d) 63
  39. 39.What is the average of 25, 35, 18 and 46? (a) 32 (b) 31 (c) 30 (d) 33
  40. 40.What is the average of 51, 29, 24, 53 and 33? (a) 39 (b) 40 (c) 38 (d) 37

Answer key

  1. 47
  2. 75
  3. 49
  4. 25
  5. 31
  6. 22
  7. 31
  8. 28
  9. 53
  10. 71
  11. 70
  12. 68
  13. 13
  14. 28
  15. 106
  16. 50
  17. 77
  18. 62
  19. 73
  20. 78
  21. 42
  22. 77
  23. 60
  24. 79
  25. 55
  26. 73
  27. 26
  28. 28
  29. 14
  30. 39
  31. 76
  32. 4
  33. 45
  34. 39
  35. 75
  36. 51
  37. 73
  38. 62
  39. 31
  40. 38

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