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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 738 · 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 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 90 (c) 41 (d) 63
  2. 2.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 40 (c) 80 (d) 81
  3. 3.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 17 (b) 18 (c) 22 (d) 45
  4. 4.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 21 (b) 7 (c) 10 (d) 8
  5. 5.What is the average of 40, 25, 35, 52, 22 and 48? (a) 38 (b) 39 (c) 37 (d) 36
  6. 6.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 14 (b) 58 (c) 42 (d) 30
  7. 7.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 70 (b) 24 (c) 25 (d) 34
  8. 8.What is the average of all the whole numbers from 25 to 51? (a) 39 (b) 13 (c) 38 (d) 26
  9. 9.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 11 (b) 17 (c) 41 (d) 35
  10. 10.What is the average of all the whole numbers from 19 to 29? (a) 5 (b) 10 (c) 25 (d) 24
  11. 11.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 41 (b) 27 (c) 26 (d) 87
  12. 12.What is the average of all the whole numbers from 59 to 81? (a) 22 (b) 71 (c) 70 (d) 11
  13. 13.What is the average of all the whole numbers from 37 to 57? (a) 10 (b) 20 (c) 47 (d) 48
  14. 14.What is the average of all the whole numbers from 15 to 55? (a) 40 (b) 35 (c) 20 (d) 36
  15. 15.What is the average of all the whole numbers from 30 to 54? (a) 42 (b) 12 (c) 24 (d) 43
  16. 16.What is the average of 19, 27, 12 and 46? (a) 28 (b) 27 (c) 26 (d) 25
  17. 17.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 20 (c) 75 (d) 65
  18. 18.What is the average of all the whole numbers from 45 to 69? (a) 24 (b) 12 (c) 57 (d) 58
  19. 19.What is the average of 76, 82, 78, 68, 56 and 54? (a) 71 (b) 68 (c) 70 (d) 69
  20. 20.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 20 (b) 25 (c) 43 (d) 27
  21. 21.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 45 (c) 48 (d) 81
  22. 22.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 44 (b) 36 (c) 35 (d) 91
  23. 23.What is the average of all the whole numbers from 49 to 55? (a) 53 (b) 3 (c) 52 (d) 6
  24. 24.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 38 (b) 46 (c) 10 (d) 74
  25. 25.What is the average of 39, 33, 36 and 56? (a) 43 (b) 42 (c) 40 (d) 41
  26. 26.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 30 (b) 67 (c) 43 (d) 40
  27. 27.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 19 (b) 8 (c) 7 (d) 41
  28. 28.What is the average of 76, 64, 76, 55, 75 and 26? (a) 63 (b) 61 (c) 62 (d) 64
  29. 29.What is the average of all the whole numbers from 16 to 46? (a) 32 (b) 30 (c) 15 (d) 31
  30. 30.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 87 (b) 63 (c) 60 (d) 30
  31. 31.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 36 (c) 42 (d) 12
  32. 32.What is the average of all the whole numbers from 56 to 88? (a) 32 (b) 73 (c) 72 (d) 16
  33. 33.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 59 (c) 14 (d) 69
  34. 34.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 21 (c) 22 (d) 72
  35. 35.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 48 (c) 18 (d) 62
  36. 36.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 29 (c) 28 (d) 20
  37. 37.What is the average of 90, 66, 79, 86, 70 and 71? (a) 78 (b) 77 (c) 76 (d) 79
  38. 38.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 88 (c) 40 (d) 56
  39. 39.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 27 (b) 39 (c) 81 (d) 28
  40. 40.What is the average of 17, 11, 32, 27 and 33? (a) 23 (b) 30 (c) 25 (d) 24

Answer key

  1. 90
  2. 80
  3. 17
  4. 7
  5. 37
  6. 42
  7. 24
  8. 38
  9. 41
  10. 24
  11. 26
  12. 70
  13. 47
  14. 35
  15. 42
  16. 26
  17. 75
  18. 57
  19. 69
  20. 43
  21. 81
  22. 35
  23. 52
  24. 46
  25. 41
  26. 67
  27. 7
  28. 62
  29. 31
  30. 87
  31. 42
  32. 72
  33. 69
  34. 21
  35. 62
  36. 28
  37. 77
  38. 88
  39. 27
  40. 24

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