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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 890 · 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 8 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 52 (b) 31 (c) 24 (d) 59
  2. 2.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 36 (b) 16 (c) 48 (d) 68
  3. 3.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 8 (b) 38 (c) 75 (d) 45
  4. 4.What is the average of 34, 32, 10 and 8? (a) 22 (b) 28 (c) 20 (d) 21
  5. 5.What is the average of all the whole numbers from 9 to 47? (a) 19 (b) 38 (c) 29 (d) 28
  6. 6.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 18 (c) 47 (d) 31
  7. 7.What is the average of 74, 68, 62 and 60? (a) 88 (b) 66 (c) 65 (d) 67
  8. 8.What is the average of 37, 42, 29, 28 and 29? (a) 35 (b) 34 (c) 33 (d) 32
  9. 9.What is the average of all the whole numbers from 37 to 69? (a) 53 (b) 32 (c) 16 (d) 54
  10. 10.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 45 (c) 68 (d) 103
  11. 11.What is the average of all the whole numbers from 5 to 15? (a) 9 (b) 11 (c) 10 (d) 5
  12. 12.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 48 (c) 39 (d) 75
  13. 13.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 49 (c) 55 (d) 10
  14. 14.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 7 (c) 18 (d) 6
  15. 15.What is the average of all the whole numbers from 40 to 80? (a) 61 (b) 40 (c) 20 (d) 60
  16. 16.What is the average of all the whole numbers from 23 to 29? (a) 27 (b) 6 (c) 3 (d) 26
  17. 17.What is the average of 25, 38, 40, 46, 27 and 46? (a) 37 (b) 39 (c) 36 (d) 38
  18. 18.What is the average of all the whole numbers from 37 to 77? (a) 20 (b) 58 (c) 57 (d) 40
  19. 19.What is the average of all the whole numbers from 60 to 82? (a) 11 (b) 72 (c) 22 (d) 71
  20. 20.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 21 (c) 3 (d) 4
  21. 21.What is the average of 53, 70, 47, 64, 43 and 71? (a) 60 (b) 59 (c) 58 (d) 57
  22. 22.What is the average of 73, 73, 67, 58, 47 and 48? (a) 61 (b) 63 (c) 62 (d) 60
  23. 23.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 51 (c) 93 (d) 56
  24. 24.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 57 (c) 24 (d) 78
  25. 25.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 86 (b) 50 (c) 8 (d) 44
  26. 26.What is the average of 73, 76, 85 and 74? (a) 76 (b) 78 (c) 79 (d) 77
  27. 27.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 45 (b) 30 (c) 27 (d) 21
  28. 28.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 30 (c) 78 (d) 54
  29. 29.What is the average of 9, 35, 12, 16, 6 and 42? (a) 19 (b) 21 (c) 24 (d) 20
  30. 30.What is the average of all the whole numbers from 11 to 41? (a) 27 (b) 30 (c) 15 (d) 26
  31. 31.What is the average of all the whole numbers from 29 to 45? (a) 16 (b) 38 (c) 37 (d) 8
  32. 32.What is the average of all the whole numbers from 38 to 46? (a) 4 (b) 8 (c) 43 (d) 42
  33. 33.What is the average of all the whole numbers from 49 to 83? (a) 34 (b) 17 (c) 67 (d) 66
  34. 34.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 19 (b) 44 (c) 93 (d) 20
  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 35? (a) 49 (b) 35 (c) 77 (d) 42
  36. 36.What is the average of 20, 9, 9 and 46? (a) 22 (b) 21 (c) 20 (d) 28
  37. 37.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 26 (c) 16 (d) 22
  38. 38.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 48 (c) 104 (d) 70
  39. 39.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 18 (c) 54 (d) 66
  40. 40.What is the average of all the whole numbers from 47 to 69? (a) 59 (b) 22 (c) 58 (d) 11

Answer key

  1. 52
  2. 48
  3. 45
  4. 21
  5. 28
  6. 47
  7. 66
  8. 33
  9. 53
  10. 103
  11. 10
  12. 48
  13. 55
  14. 6
  15. 60
  16. 26
  17. 37
  18. 57
  19. 71
  20. 3
  21. 58
  22. 61
  23. 93
  24. 78
  25. 50
  26. 77
  27. 45
  28. 78
  29. 20
  30. 26
  31. 37
  32. 42
  33. 66
  34. 19
  35. 77
  36. 21
  37. 26
  38. 104
  39. 66
  40. 58

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