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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 985 · 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.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 12 (b) 60 (c) 13 (d) 28
  2. 2.What is the average of all the whole numbers from 37 to 47? (a) 10 (b) 5 (c) 42 (d) 43
  3. 3.What is the average of all the whole numbers from 59 to 67? (a) 8 (b) 64 (c) 4 (d) 63
  4. 4.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 31 (b) 20 (c) 29 (d) 47
  5. 5.What is the average of all the whole numbers from 11 to 23? (a) 17 (b) 6 (c) 12 (d) 18
  6. 6.What is the average of all the whole numbers from 39 to 51? (a) 46 (b) 6 (c) 45 (d) 12
  7. 7.What is the average of 83, 84, 85, 70, 65 and 69? (a) 78 (b) 77 (c) 76 (d) 75
  8. 8.What is the average of 52, 64, 53, 58, 59 and 8? (a) 50 (b) 51 (c) 49 (d) 48
  9. 9.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 20 (b) 21 (c) 26 (d) 54
  10. 10.What is the average of 23, 29, 33, 25, 33 and 85? (a) 40 (b) 39 (c) 37 (d) 38
  11. 11.What is the average of all the whole numbers from 11 to 35? (a) 23 (b) 24 (c) 12 (d) 22
  12. 12.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 40 (b) 49 (c) 39 (d) 100
  13. 13.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 30 (c) 48 (d) 24
  14. 14.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 15 (c) 55 (d) 43
  15. 15.What is the average of all the whole numbers from 57 to 77? (a) 68 (b) 20 (c) 10 (d) 67
  16. 16.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 49 (b) 37 (c) 33 (d) 20
  17. 17.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 66 (b) 46 (c) 24 (d) 88
  18. 18.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 91 (c) 45 (d) 41
  19. 19.What is the average of 51, 38, 49, 30, 54 and 18? (a) 48 (b) 41 (c) 40 (d) 39
  20. 20.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 93 (c) 63 (d) 37
  21. 21.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 48 (c) 7 (d) 42
  22. 22.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 76 (b) 41 (c) 42 (d) 48
  23. 23.What is the average of all the whole numbers from 53 to 65? (a) 12 (b) 6 (c) 59 (d) 60
  24. 24.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 16 (c) 27 (d) 31
  25. 25.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 42 (c) 35 (d) 19
  26. 26.What is the average of 73, 82, 71, 86 and 53? (a) 74 (b) 72 (c) 73 (d) 75
  27. 27.What is the average of 67, 69, 61, 62, 91 and 106? (a) 76 (b) 75 (c) 77 (d) 78
  28. 28.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 56 (b) 59 (c) 101 (d) 52
  29. 29.What is the average of 23, 27, 36, 27 and 57? (a) 33 (b) 34 (c) 36 (d) 35
  30. 30.What is the average of all the whole numbers from 15 to 51? (a) 34 (b) 36 (c) 33 (d) 18
  31. 31.What is the average of all the whole numbers from 34 to 60? (a) 48 (b) 13 (c) 26 (d) 47
  32. 32.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 71 (b) 61 (c) 12 (d) 63
  33. 33.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 95 (c) 29 (d) 28
  34. 34.What is the average of 63, 72, 61 and 100? (a) 76 (b) 73 (c) 74 (d) 75
  35. 35.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 44 (b) 32 (c) 28 (d) 20
  36. 36.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 64 (d) 113
  37. 37.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 10 (b) 24 (c) 51 (d) 9
  38. 38.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 18 (c) 34 (d) 33
  39. 39.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 30 (c) 58 (d) 38
  40. 40.What is the average of 18, 35, 12, 17, 14 and 48? (a) 23 (b) 25 (c) 26 (d) 24

Answer key

  1. 12
  2. 42
  3. 63
  4. 47
  5. 17
  6. 45
  7. 76
  8. 49
  9. 20
  10. 38
  11. 23
  12. 39
  13. 48
  14. 55
  15. 67
  16. 49
  17. 66
  18. 41
  19. 40
  20. 93
  21. 48
  22. 76
  23. 59
  24. 31
  25. 42
  26. 73
  27. 76
  28. 101
  29. 34
  30. 33
  31. 47
  32. 71
  33. 28
  34. 74
  35. 44
  36. 113
  37. 9
  38. 33
  39. 58
  40. 24

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