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.The ratio of boys to girls in a class is 1 : 2. There are 5 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
- 3.Divide ₹180 between Kabir and Priya in the ratio 1 : 4. How much does Priya get (in ₹)?
- 4.Divide ₹231 between Kabir and Karan in the ratio 7 : 4. How much does Kabir get (in ₹)?
- 5.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 6.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
- 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 8.6 : 4 = 48 : ?
- 9.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
- 10.The ratio of boys to girls in a class is 6 : 1. There are 48 boys. How many girls are there?
- 11.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 12.Divide ₹704 between Aarav and Sneha in the ratio 9 : 7. How much does Sneha get (in ₹)?
- 13.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
- 14.5 : 2 = 40 : ?
- 15.Divide ₹506 between Karan and Ishaan in the ratio 3 : 8. How much does Karan get (in ₹)?
- 16.7 : 11 = 63 : ?
- 17.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
- 18.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 19.10 : 9 = 60 : ?
- 20.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
- 21.Divide ₹240 between Priya and Sneha in the ratio 2 : 3. How much does Priya get (in ₹)?
- 22.2 : 14 = 4 : ?
- 23.Divide ₹600 between Saanvi and Meera in the ratio 1 : 9. How much does Saanvi get (in ₹)?
- 24.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
- 25.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 26.Divide ₹319 between Meera and Kavya in the ratio 5 : 6. How much does Meera get (in ₹)?
- 27.Divide ₹352 between Saanvi and Meera in the ratio 7 : 9. How much does Saanvi get (in ₹)?
- 28.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 29.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
- 30.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
- 31.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
- 32.12 : 13 = 96 : ?
- 33.10 : 7 = 60 : ?
- 34.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
- 35.Divide ₹660 between Manav and Rohan in the ratio 2 : 9. How much does Rohan get (in ₹)?
- 36.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
- 37.Divide ₹85 between Diya and Pooja in the ratio 3 : 2. How much does Diya get (in ₹)?
- 38.10 : 4 = 80 : ?
- 39.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
- 40.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
Answer key
- 10
- 21
- 144
- 147
- 200
- 8
- 16
- 32
- 12
- 8
- 175
- 308
- 56
- 16
- 138
- 99
- 42
- 12
- 54
- 8
- 96
- 28
- 60
- 42
- 64
- 145
- 154
- 150
- 45
- 18
- 63
- 104
- 42
- 28
- 540
- 6
- 51
- 32
- 21
- 96
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