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
- 1.7 : 6 = 63 : ?
- 2.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 3.6 : 7 = 12 : ?
- 4.Divide ₹234 between Diya and Farhan in the ratio 7 : 2. How much does Farhan get (in ₹)?
- 5.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 6.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 8.Divide ₹234 between Meera and Rohan in the ratio 6 : 7. How much does Rohan get (in ₹)?
- 9.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 10.9 : 7 = 45 : ?
- 11.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
- 12.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
- 13.4 : 13 = 16 : ?
- 14.Divide ₹364 between Dev and Sneha in the ratio 9 : 5. How much does Dev get (in ₹)?
- 15.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 17.5 : 14 = 35 : ?
- 18.Divide ₹294 between Diya and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
- 19.3 : 5 = 9 : ?
- 20.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 21.9 : 10 = 54 : ?
- 22.The ratio of boys to girls in a class is 4 : 3. There are 36 boys. How many girls are there?
- 23.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
- 24.11 : 2 = 66 : ?
- 25.Divide ₹40 between Isha and Manav in the ratio 5 : 3. How much does Isha get (in ₹)?
- 26.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
- 27.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 28.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?
- 29.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
- 30.2 : 5 = 12 : ?
- 31.Divide ₹455 between Kabir and Nisha in the ratio 7 : 6. How much does Kabir get (in ₹)?
- 32.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
- 34.Divide ₹280 between Manav and Priya in the ratio 1 : 9. How much does Priya get (in ₹)?
- 35.10 : 8 = 70 : ?
- 36.Divide ₹105 between Zoya and Rahul in the ratio 6 : 1. How much does Rahul get (in ₹)?
- 37.Divide ₹171 between Farhan and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
- 38.6 : 13 = 24 : ?
- 39.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 40.Divide ₹152 between Zoya and Saanvi in the ratio 5 : 3. How much does Saanvi get (in ₹)?
Answer key
- 54
- 75
- 14
- 52
- 72
- 27
- 24
- 126
- 50
- 35
- 5
- 50
- 52
- 234
- 28
- 16
- 98
- 252
- 15
- 225
- 60
- 27
- 40
- 12
- 25
- 10
- 96
- 9
- 10
- 30
- 245
- 4
- 42
- 252
- 56
- 15
- 133
- 52
- 112
- 57
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