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
- 1.2 : 14 = 4 : ?
- 2.10 : 3 = 80 : ?
- 3.8 : 10 = 72 : ?
- 4.6 : 13 = 24 : ?
- 5.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
- 6.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 7.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
- 8.Divide ₹260 between Ananya and Arjun in the ratio 7 : 6. How much does Ananya get (in ₹)?
- 9.Divide ₹196 between Farhan and Kabir in the ratio 5 : 2. How much does Farhan get (in ₹)?
- 10.4 : 3 = 8 : ?
- 11.3 : 12 = 24 : ?
- 12.Divide ₹216 between Farhan and Rohan in the ratio 5 : 3. How much does Farhan get (in ₹)?
- 13.6 : 5 = 42 : ?
- 14.Divide ₹210 between Pooja and Zoya in the ratio 3 : 4. How much does Zoya get (in ₹)?
- 15.6 : 12 = 12 : ?
- 16.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 17.2 : 5 = 12 : ?
- 18.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
- 19.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
- 20.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 21.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 22.11 : 8 = 66 : ?
- 23.Divide ₹480 between Saanvi and Meera in the ratio 5 : 7. How much does Saanvi get (in ₹)?
- 24.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 25.Divide ₹210 between Isha and Sneha in the ratio 4 : 1. How much does Sneha get (in ₹)?
- 26.7 : 15 = 21 : ?
- 27.Divide ₹119 between Zoya and Aarav in the ratio 2 : 5. How much does Aarav get (in ₹)?
- 28.6 : 7 = 12 : ?
- 29.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 30.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 31.Divide ₹60 between Kavya and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
- 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 33.The ratio of boys to girls in a class is 5 : 3. There are 50 boys. How many girls are there?
- 34.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
- 35.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
- 36.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 37.Divide ₹84 between Arjun and Kavya in the ratio 2 : 1. How much does Arjun get (in ₹)?
- 38.2 : 13 = 12 : ?
- 39.Divide ₹400 between Aarav and Saanvi in the ratio 7 : 3. How much does Aarav get (in ₹)?
- 40.Divide ₹235 between Isha and Rohan in the ratio 1 : 4. How much does Isha get (in ₹)?
Answer key
- 28
- 24
- 90
- 52
- 24
- 75
- 150
- 140
- 140
- 6
- 96
- 135
- 35
- 120
- 24
- 225
- 30
- 90
- 10
- 175
- 125
- 48
- 200
- 128
- 42
- 45
- 85
- 14
- 24
- 16
- 10
- 12
- 30
- 20
- 35
- 72
- 56
- 78
- 280
- 47
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