Ratio and Proportion Worksheet
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
- 1.4 : 8 = 16 : ?
- 2.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
- 3.4 : 6 = 28 : ?
- 4.3 : 15 = 18 : ?
- 5.Divide ₹207 between Zoya and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?
- 6.The ratio of boys to girls in a class is 8 : 3. There are 32 boys. How many girls are there?
- 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 8.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
- 9.Divide ₹952 between Sneha and Aarav in the ratio 9 : 8. How much does Sneha get (in ₹)?
- 10.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
- 11.Divide ₹252 between Aarav and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
- 12.11 : 8 = 77 : ?
- 13.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 14.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 15.Divide ₹280 between Aarav and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
- 16.6 : 13 = 18 : ?
- 17.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
- 18.The ratio of boys to girls in a class is 7 : 5. There are 70 boys. How many girls are there?
- 19.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 20.5 : 4 = 10 : ?
- 21.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
- 22.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
- 23.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
- 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 25.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 26.10 : 2 = 20 : ?
- 27.2 : 13 = 6 : ?
- 28.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
- 29.Divide ₹969 between Rohan and Farhan in the ratio 8 : 9. How much does Rohan get (in ₹)?
- 30.Divide ₹140 between Aarav and Nisha in the ratio 6 : 1. How much does Nisha get (in ₹)?
- 31.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 32.12 : 15 = 60 : ?
- 33.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 34.Divide ₹333 between Ananya and Vivaan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
- 35.8 : 4 = 48 : ?
- 36.Divide ₹473 between Meera and Ishaan in the ratio 3 : 8. How much does Ishaan get (in ₹)?
- 37.2 : 15 = 16 : ?
- 38.Divide ₹216 between Kabir and Kavya in the ratio 7 : 5. How much does Kavya get (in ₹)?
- 39.Divide ₹40 between Sneha and Kavya in the ratio 1 : 3. How much does Kavya get (in ₹)?
- 40.Divide ₹180 between Aarav and Ananya in the ratio 1 : 9. How much does Ananya get (in ₹)?
Answer key
- 32
- 54
- 42
- 90
- 184
- 12
- 8
- 2
- 504
- 18
- 216
- 56
- 48
- 128
- 168
- 39
- 8
- 50
- 72
- 8
- 3
- 36
- 6
- 75
- 45
- 4
- 39
- 45
- 456
- 20
- 27
- 75
- 50
- 74
- 24
- 344
- 120
- 90
- 30
- 162
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude