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.The ratio of boys to girls in a class is 7 : 5. There are 35 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 6 : 7. There are 42 boys. How many girls are there?
- 3.Divide ₹156 between Diya and Ananya in the ratio 5 : 1. How much does Diya get (in ₹)?
- 4.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 5.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
- 6.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 7.Divide ₹165 between Aditya and Zoya in the ratio 3 : 8. How much does Aditya get (in ₹)?
- 8.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
- 9.11 : 9 = 33 : ?
- 10.Divide ₹363 between Saanvi and Meera in the ratio 9 : 2. How much does Meera get (in ₹)?
- 11.Divide ₹50 between Meera and Ananya in the ratio 4 : 1. How much does Meera get (in ₹)?
- 12.7 : 2 = 35 : ?
- 13.9 : 12 = 27 : ?
- 14.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
- 15.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
- 16.10 : 12 = 40 : ?
- 17.4 : 9 = 8 : ?
- 18.6 : 12 = 12 : ?
- 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 20.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 21.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
- 22.Divide ₹255 between Pooja and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
- 23.Divide ₹120 between Farhan and Arjun in the ratio 1 : 2. How much does Arjun get (in ₹)?
- 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
- 25.Divide ₹119 between Rahul and Kavya in the ratio 2 : 5. How much does Rahul get (in ₹)?
- 26.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
- 27.Divide ₹121 between Nisha and Rohan in the ratio 9 : 2. How much does Rohan get (in ₹)?
- 28.Divide ₹160 between Rahul and Tara in the ratio 5 : 3. How much does Rahul get (in ₹)?
- 29.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
- 30.8 : 4 = 72 : ?
- 31.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
- 32.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
- 33.Divide ₹329 between Karan and Vivaan in the ratio 6 : 1. How much does Karan get (in ₹)?
- 34.Divide ₹240 between Dev and Diya in the ratio 1 : 9. How much does Dev get (in ₹)?
- 35.2 : 3 = 8 : ?
- 36.Divide ₹629 between Nisha and Kabir in the ratio 8 : 9. How much does Nisha get (in ₹)?
- 37.7 : 4 = 56 : ?
- 38.Divide ₹210 between Karan and Saanvi in the ratio 1 : 5. How much does Karan get (in ₹)?
- 39.6 : 7 = 18 : ?
- 40.6 : 2 = 24 : ?
Answer key
- 25
- 49
- 130
- 225
- 6
- 32
- 45
- 144
- 27
- 66
- 40
- 10
- 36
- 24
- 4
- 48
- 18
- 24
- 32
- 8
- 80
- 153
- 80
- 36
- 34
- 42
- 22
- 100
- 64
- 36
- 36
- 72
- 282
- 24
- 12
- 296
- 32
- 35
- 21
- 8
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