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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 724 · 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. 1.3 : 14 = 6 : ?
  2. 2.5 : 7 = 30 : ?
  3. 3.2 : 6 = 12 : ?
  4. 4.11 : 8 = 22 : ?
  5. 5.3 : 6 = 21 : ?
  6. 6.7 : 2 = 14 : ?
  7. 7.7 : 6 = 49 : ?
  8. 8.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
  9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  10. 10.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  11. 11.6 : 11 = 12 : ?
  12. 12.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
  13. 13.5 : 13 = 15 : ?
  14. 14.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?
  15. 15.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  16. 16.9 : 4 = 63 : ?
  17. 17.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  18. 18.Divide ₹264 between Saanvi and Priya in the ratio 8 : 3. How much does Priya get (in ₹)?
  19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  20. 20.Divide ₹969 between Kabir and Nisha in the ratio 8 : 9. How much does Kabir get (in ₹)?
  21. 21.Divide ₹65 between Tara and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
  22. 22.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  23. 23.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
  24. 24.Divide ₹48 between Vivaan and Pooja in the ratio 5 : 1. How much does Vivaan get (in ₹)?
  25. 25.Divide ₹275 between Aarav and Manav in the ratio 1 : 4. How much does Manav get (in ₹)?
  26. 26.6 : 13 = 36 : ?
  27. 27.Divide ₹300 between Pooja and Ishaan in the ratio 5 : 7. How much does Ishaan get (in ₹)?
  28. 28.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
  29. 29.2 : 5 = 12 : ?
  30. 30.9 : 15 = 36 : ?
  31. 31.Divide ₹176 between Ishaan and Farhan in the ratio 7 : 9. How much does Farhan get (in ₹)?
  32. 32.4 : 8 = 8 : ?
  33. 33.The ratio of boys to girls in a class is 3 : 5. There are 15 boys. How many girls are there?
  34. 34.11 : 7 = 66 : ?
  35. 35.Divide ₹572 between Saanvi and Ananya in the ratio 4 : 9. How much does Saanvi get (in ₹)?
  36. 36.Divide ₹90 between Zoya and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  37. 37.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  38. 38.5 : 3 = 35 : ?
  39. 39.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  40. 40.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).

Answer key

  1. 28
  2. 42
  3. 36
  4. 16
  5. 42
  6. 4
  7. 42
  8. 24
  9. 32
  10. 50
  11. 22
  12. 2
  13. 39
  14. 12
  15. 9
  16. 28
  17. 56
  18. 72
  19. 175
  20. 456
  21. 13
  22. 144
  23. 45
  24. 40
  25. 220
  26. 78
  27. 175
  28. 49
  29. 30
  30. 60
  31. 99
  32. 16
  33. 25
  34. 42
  35. 176
  36. 27
  37. 36
  38. 21
  39. 64
  40. 81

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