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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 484 · 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 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 76 (b) 9 (c) 36 (d) 8
  2. 2.What is the average of all the whole numbers from 54 to 82? (a) 14 (b) 28 (c) 69 (d) 68
  3. 3.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 31 (c) 25 (d) 10
  4. 4.What is the average of 47, 73, 53, 65, 53 and 57? (a) 59 (b) 58 (c) 60 (d) 57
  5. 5.What is the average of 46, 44, 41, 67, 63 and 63? (a) 55 (b) 54 (c) 56 (d) 53
  6. 6.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 39 (c) 6 (d) 44
  7. 7.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 69 (b) 15 (c) 57 (d) 60
  8. 8.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 57 (c) 14 (d) 47
  9. 9.What is the average of 13, 10, 23 and 34? (a) 20 (b) 22 (c) 21 (d) 19
  10. 10.What is the average of all the whole numbers from 24 to 48? (a) 24 (b) 36 (c) 37 (d) 12
  11. 11.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 19 (b) 39 (c) 34 (d) 24
  12. 12.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 6 (b) 73 (c) 37 (d) 42
  13. 13.What is the average of 28, 30, 18 and 12? (a) 21 (b) 23 (c) 24 (d) 22
  14. 14.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 5 (c) 18 (d) 17
  15. 15.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 83 (c) 51 (d) 36
  16. 16.What is the average of all the whole numbers from 24 to 36? (a) 6 (b) 30 (c) 31 (d) 12
  17. 17.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 65 (c) 40 (d) 8
  18. 18.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 21 (c) 15 (d) 7
  19. 19.What is the average of 52, 59, 51, 48 and 25? (a) 46 (b) 49 (c) 48 (d) 47
  20. 20.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 50 (b) 39 (c) 79 (d) 34
  21. 21.What is the average of 45, 52, 50 and 73? (a) 56 (b) 55 (c) 57 (d) 54
  22. 22.What is the average of all the whole numbers from 6 to 20? (a) 12 (b) 7 (c) 13 (d) 14
  23. 23.What is the average of all the whole numbers from 21 to 45? (a) 12 (b) 34 (c) 24 (d) 33
  24. 24.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 15 (c) 40 (d) 53
  25. 25.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 2 (b) 1 (c) 16 (d) 35
  26. 26.What is the average of all the whole numbers from 53 to 79? (a) 66 (b) 26 (c) 13 (d) 67
  27. 27.What is the average of all the whole numbers from 35 to 43? (a) 40 (b) 4 (c) 8 (d) 39
  28. 28.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 29 (b) 14 (c) 32 (d) 17
  29. 29.What is the average of all the whole numbers from 38 to 70? (a) 55 (b) 16 (c) 54 (d) 32
  30. 30.What is the average of all the whole numbers from 16 to 50? (a) 33 (b) 32 (c) 34 (d) 17
  31. 31.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 20 (b) 37 (c) 55 (d) 39
  32. 32.What is the average of all the whole numbers from 28 to 54? (a) 41 (b) 13 (c) 42 (d) 26
  33. 33.What is the average of 73, 80, 82 and 65? (a) 74 (b) 76 (c) 75 (d) 100
  34. 34.What is the average of 50, 51, 34, 62, 55 and 42? (a) 49 (b) 50 (c) 48 (d) 51
  35. 35.What is the average of all the whole numbers from 18 to 30? (a) 25 (b) 24 (c) 12 (d) 6
  36. 36.What is the average of 81, 63, 58, 68, 65 and 61? (a) 67 (b) 66 (c) 65 (d) 68
  37. 37.What is the average of all the whole numbers from 7 to 47? (a) 27 (b) 40 (c) 28 (d) 20
  38. 38.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 66? (a) 74 (b) 66 (c) 98 (d) 40
  39. 39.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 61 (c) 26 (d) 25
  40. 40.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 28 (b) 41 (c) 37 (d) 61

Answer key

  1. 8
  2. 68
  3. 31
  4. 58
  5. 54
  6. 44
  7. 69
  8. 57
  9. 20
  10. 36
  11. 39
  12. 42
  13. 22
  14. 17
  15. 83
  16. 30
  17. 40
  18. 21
  19. 47
  20. 79
  21. 55
  22. 13
  23. 33
  24. 40
  25. 1
  26. 66
  27. 39
  28. 29
  29. 54
  30. 33
  31. 55
  32. 41
  33. 75
  34. 49
  35. 24
  36. 66
  37. 27
  38. 98
  39. 25
  40. 61

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