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).
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- 1.Divide ₹108 between Sneha and Ananya in the ratio 5 : 1. How much does Ananya get (in ₹)?
- 2.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 4.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
- 5.Divide ₹63 between Farhan and Isha in the ratio 5 : 4. How much does Farhan get (in ₹)?
- 6.5 : 6 = 30 : ?
- 7.12 : 11 = 60 : ?
- 8.Divide ₹840 between Pooja and Kavya in the ratio 9 : 5. How much does Kavya get (in ₹)?
- 9.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 10.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
- 11.Divide ₹216 between Meera and Karan in the ratio 5 : 1. How much does Meera get (in ₹)?
- 12.Divide ₹270 between Aditya and Vivaan in the ratio 3 : 2. How much does Vivaan get (in ₹)?
- 13.2 : 12 = 8 : ?
- 14.Divide ₹136 between Pooja and Kabir in the ratio 7 : 1. How much does Kabir get (in ₹)?
- 15.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 16.Divide ₹175 between Kabir and Rahul in the ratio 3 : 4. How much does Rahul get (in ₹)?
- 17.Divide ₹468 between Manav and Kabir in the ratio 1 : 8. How much does Manav get (in ₹)?
- 18.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
- 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 20.7 : 6 = 28 : ?
- 21.11 : 10 = 22 : ?
- 22.4 : 3 = 16 : ?
- 23.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
- 24.Divide ₹110 between Nisha and Pooja in the ratio 7 : 3. How much does Pooja get (in ₹)?
- 25.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
- 26.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
- 27.11 : 15 = 33 : ?
- 28.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
- 29.The ratio of boys to girls in a class is 7 : 6. There are 63 boys. How many girls are there?
- 30.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
- 31.3 : 7 = 21 : ?
- 32.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
- 33.10 : 6 = 60 : ?
- 34.Divide ₹270 between Vivaan and Meera in the ratio 1 : 5. How much does Vivaan get (in ₹)?
- 35.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
- 36.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 37.2 : 11 = 18 : ?
- 38.Divide ₹170 between Ananya and Pooja in the ratio 2 : 3. How much does Pooja get (in ₹)?
- 39.Divide ₹160 between Ishaan and Nisha in the ratio 7 : 1. How much does Ishaan get (in ₹)?
- 40.Divide ₹410 between Ananya and Vivaan in the ratio 1 : 9. How much does Ananya get (in ₹)?
Answer key
- 18
- 36
- 75
- 14
- 35
- 36
- 55
- 300
- 128
- 20
- 180
- 108
- 48
- 17
- 45
- 100
- 52
- 6
- 48
- 24
- 20
- 12
- 12
- 33
- 63
- 6
- 45
- 36
- 54
- 27
- 49
- 30
- 36
- 45
- 45
- 18
- 99
- 102
- 140
- 41
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