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.Divide ₹160 between Kavya and Meera in the ratio 5 : 3. How much does Kavya get (in ₹)?
- 2.2 : 14 = 12 : ?
- 3.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
- 4.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
- 5.Divide ₹260 between Aarav and Aditya in the ratio 7 : 3. How much does Aarav get (in ₹)?
- 6.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 7.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 8.Divide ₹78 between Manav and Kavya in the ratio 4 : 9. How much does Manav get (in ₹)?
- 9.Divide ₹378 between Tara and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
- 10.6 : 3 = 12 : ?
- 11.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 12.The ratio of boys to girls in a class is 5 : 1. There are 10 boys. How many girls are there?
- 13.The ratio of boys to girls in a class is 1 : 5. There are 6 boys. How many girls are there?
- 14.Divide ₹189 between Farhan and Pooja in the ratio 2 : 5. How much does Pooja get (in ₹)?
- 15.Divide ₹205 between Ananya and Priya in the ratio 3 : 2. How much does Priya get (in ₹)?
- 16.Divide ₹459 between Rahul and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
- 17.Divide ₹299 between Aditya and Pooja in the ratio 6 : 7. How much does Pooja get (in ₹)?
- 18.Divide ₹25 between Arjun and Kabir in the ratio 4 : 1. How much does Arjun get (in ₹)?
- 19.Divide ₹90 between Saanvi and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
- 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 21.5 : 13 = 40 : ?
- 22.Divide ₹300 between Aditya and Diya in the ratio 7 : 8. How much does Diya get (in ₹)?
- 23.Divide ₹387 between Kavya and Rohan in the ratio 5 : 4. How much does Rohan get (in ₹)?
- 24.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
- 25.Divide ₹468 between Arjun and Vivaan in the ratio 9 : 4. How much does Vivaan get (in ₹)?
- 26.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 27.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
- 28.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 29.2 : 9 = 12 : ?
- 30.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 31.Divide ₹185 between Ananya and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
- 32.11 : 3 = 99 : ?
- 33.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
- 34.Divide ₹408 between Aditya and Priya in the ratio 3 : 5. How much does Priya get (in ₹)?
- 35.7 : 9 = 56 : ?
- 36.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 37.Divide ₹333 between Rahul and Vivaan in the ratio 8 : 1. How much does Vivaan get (in ₹)?
- 38.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 39.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
- 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
Answer key
- 100
- 84
- 27
- 10
- 182
- 24
- 12
- 24
- 162
- 6
- 45
- 2
- 30
- 135
- 82
- 357
- 161
- 20
- 63
- 8
- 104
- 160
- 172
- 18
- 144
- 64
- 8
- 18
- 54
- 48
- 37
- 27
- 9
- 255
- 72
- 54
- 37
- 32
- 70
- 128
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