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 ₹462 between Priya and Dev in the ratio 6 : 5. How much does Priya get (in ₹)?
- 2.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
- 3.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 4.Divide ₹162 between Rahul and Meera in the ratio 5 : 4. How much does Rahul get (in ₹)?
- 5.Divide ₹77 between Kavya and Aarav in the ratio 4 : 3. How much does Aarav get (in ₹)?
- 6.9 : 13 = 27 : ?
- 7.The ratio of boys to girls in a class is 1 : 4. There are 10 boys. How many girls are there?
- 8.Divide ₹36 between Dev and Aarav in the ratio 2 : 1. How much does Dev get (in ₹)?
- 9.Divide ₹456 between Aarav and Kavya in the ratio 3 : 5. How much does Kavya get (in ₹)?
- 10.7 : 15 = 35 : ?
- 11.Divide ₹112 between Aditya and Rohan in the ratio 5 : 3. How much does Aditya get (in ₹)?
- 12.Divide ₹528 between Rohan and Aditya in the ratio 3 : 8. How much does Rohan get (in ₹)?
- 13.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
- 14.Divide ₹102 between Tara and Meera in the ratio 5 : 1. How much does Tara get (in ₹)?
- 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 16.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
- 17.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
- 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 19.4 : 15 = 20 : ?
- 20.8 : 7 = 40 : ?
- 21.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 22.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 23.Divide ₹60 between Aarav and Saanvi in the ratio 3 : 1. How much does Aarav get (in ₹)?
- 24.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
- 25.Divide ₹338 between Diya and Aditya in the ratio 5 : 8. How much does Aditya get (in ₹)?
- 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 27.10 : 2 = 60 : ?
- 28.Divide ₹350 between Ananya and Rahul in the ratio 9 : 5. How much does Rahul get (in ₹)?
- 29.3 : 7 = 12 : ?
- 30.Divide ₹299 between Kabir and Rohan in the ratio 9 : 4. How much does Kabir get (in ₹)?
- 31.Divide ₹561 between Ananya and Saanvi in the ratio 2 : 9. How much does Saanvi get (in ₹)?
- 32.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
- 33.Divide ₹99 between Isha and Aditya in the ratio 1 : 8. How much does Aditya get (in ₹)?
- 34.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 35.Divide ₹99 between Aditya and Kavya in the ratio 2 : 1. How much does Aditya get (in ₹)?
- 36.3 : 14 = 9 : ?
- 37.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 38.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 39.Divide ₹140 between Ishaan and Tara in the ratio 2 : 3. How much does Ishaan get (in ₹)?
- 40.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
Answer key
- 252
- 28
- 150
- 90
- 33
- 39
- 40
- 24
- 285
- 75
- 70
- 144
- 48
- 85
- 32
- 14
- 18
- 27
- 75
- 35
- 16
- 144
- 45
- 54
- 208
- 36
- 12
- 125
- 28
- 207
- 459
- 28
- 88
- 200
- 66
- 42
- 20
- 50
- 56
- 27
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