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.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
- 2.3 : 14 = 12 : ?
- 3.The ratio of boys to girls in a class is 1 : 7. There are 5 boys. How many girls are there?
- 4.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
- 5.Divide ₹117 between Nisha and Arjun in the ratio 8 : 5. How much does Nisha get (in ₹)?
- 6.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
- 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 8.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
- 9.7 : 15 = 21 : ?
- 10.6 : 8 = 24 : ?
- 11.Divide ₹513 between Diya and Rohan in the ratio 4 : 5. How much does Diya get (in ₹)?
- 12.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
- 13.2 : 5 = 6 : ?
- 14.Divide ₹220 between Zoya and Tara in the ratio 3 : 2. How much does Zoya get (in ₹)?
- 15.9 : 3 = 36 : ?
- 16.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 17.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 18.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
- 19.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 20.Divide ₹352 between Farhan and Kabir in the ratio 4 : 7. How much does Kabir get (in ₹)?
- 21.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
- 22.Divide ₹119 between Ishaan and Pooja in the ratio 6 : 1. How much does Ishaan get (in ₹)?
- 23.4 : 2 = 28 : ?
- 24.6 : 14 = 30 : ?
- 25.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
- 26.9 : 12 = 27 : ?
- 27.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 28.12 : 13 = 36 : ?
- 29.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 30.The ratio of boys to girls in a class is 8 : 1. There are 16 boys. How many girls are there?
- 31.7 : 6 = 42 : ?
- 32.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
- 34.Divide ₹78 between Ananya and Tara in the ratio 5 : 1. How much does Ananya get (in ₹)?
- 35.9 : 6 = 45 : ?
- 36.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
- 37.Divide ₹115 between Pooja and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
- 38.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
- 39.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
- 40.Divide ₹352 between Kabir and Ishaan in the ratio 4 : 7. How much does Kabir get (in ₹)?
Answer key
- 90
- 56
- 35
- 125
- 72
- 6
- 32
- 80
- 45
- 32
- 228
- 30
- 15
- 132
- 12
- 80
- 200
- 28
- 8
- 224
- 8
- 102
- 14
- 70
- 50
- 36
- 128
- 39
- 18
- 2
- 36
- 4
- 30
- 65
- 30
- 15
- 23
- 6
- 70
- 128
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