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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 6 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

NameDateTime takenScore ___ / 40
  1. 1.11 : 6 = 22 : ?
  2. 2.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  3. 3.4 : 8 = 16 : ?
  4. 4.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
  5. 5.Divide ₹344 between Ananya and Aditya in the ratio 5 : 3. How much does Aditya get (in ₹)?
  6. 6.9 : 10 = 45 : ?
  7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  8. 8.7 : 8 = 14 : ?
  9. 9.12 : 11 = 24 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.Divide ₹308 between Farhan and Kavya in the ratio 5 : 6. How much does Kavya get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 8. There are 35 boys. How many girls are there?
  14. 14.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  15. 15.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  16. 16.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  17. 17.9 : 8 = 18 : ?
  18. 18.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
  19. 19.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 6 : 5. There are 30 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  24. 24.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  25. 25.Divide ₹252 between Tara and Arjun in the ratio 5 : 4. How much does Tara get (in ₹)?
  26. 26.3 : 9 = 21 : ?
  27. 27.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  29. 29.5 : 11 = 25 : ?
  30. 30.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  31. 31.Divide ₹40 between Nisha and Pooja in the ratio 1 : 3. How much does Pooja get (in ₹)?
  32. 32.Divide ₹246 between Karan and Rohan in the ratio 1 : 5. How much does Karan get (in ₹)?
  33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  34. 34.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
  35. 35.3 : 13 = 24 : ?
  36. 36.8 : 5 = 40 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
  38. 38.Divide ₹104 between Ananya and Karan in the ratio 5 : 8. How much does Ananya get (in ₹)?
  39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  40. 40.6 : 12 = 12 : ?

Answer key

  1. 12
  2. 20
  3. 32
  4. 6
  5. 129
  6. 50
  7. 8
  8. 16
  9. 22
  10. 48
  11. 144
  12. 168
  13. 56
  14. 225
  15. 81
  16. 45
  17. 16
  18. 10
  19. 42
  20. 25
  21. 16
  22. 54
  23. 24
  24. 18
  25. 140
  26. 63
  27. 45
  28. 18
  29. 55
  30. 32
  31. 30
  32. 41
  33. 125
  34. 27
  35. 104
  36. 25
  37. 56
  38. 40
  39. 50
  40. 24

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