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 : 8 = 8 : ?
- 2.Divide ₹104 between Ishaan and Kavya in the ratio 1 : 7. How much does Kavya get (in ₹)?
- 3.10 : 13 = 20 : ?
- 4.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
- 5.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
- 6.6 : 9 = 48 : ?
- 7.4 : 3 = 20 : ?
- 8.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 9.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 10.6 : 9 = 30 : ?
- 11.Divide ₹407 between Arjun and Rohan in the ratio 9 : 2. How much does Arjun get (in ₹)?
- 12.Divide ₹430 between Dev and Rohan in the ratio 1 : 9. How much does Rohan get (in ₹)?
- 13.Divide ₹450 between Ananya and Manav in the ratio 1 : 9. How much does Ananya get (in ₹)?
- 14.Divide ₹300 between Aditya and Pooja in the ratio 7 : 8. How much does Pooja get (in ₹)?
- 15.Divide ₹434 between Zoya and Meera in the ratio 5 : 9. How much does Zoya get (in ₹)?
- 16.Divide ₹170 between Ananya and Karan in the ratio 4 : 1. How much does Karan get (in ₹)?
- 17.3 : 10 = 9 : ?
- 18.Divide ₹245 between Rahul and Pooja in the ratio 1 : 4. How much does Rahul get (in ₹)?
- 19.The ratio of boys to girls in a class is 1 : 3. There are 7 boys. How many girls are there?
- 20.Divide ₹198 between Diya and Kavya in the ratio 8 : 3. How much does Kavya get (in ₹)?
- 21.Divide ₹616 between Diya and Karan in the ratio 9 : 2. How much does Diya get (in ₹)?
- 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 23.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
- 24.2 : 9 = 8 : ?
- 25.9 : 10 = 72 : ?
- 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 27.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
- 28.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
- 29.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 30.10 : 12 = 40 : ?
- 31.Divide ₹470 between Rahul and Kabir in the ratio 3 : 7. How much does Rahul get (in ₹)?
- 32.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
- 33.Divide ₹135 between Farhan and Priya in the ratio 3 : 2. How much does Farhan get (in ₹)?
- 34.6 : 9 = 18 : ?
- 35.2 : 9 = 18 : ?
- 36.4 : 13 = 32 : ?
- 37.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
- 38.5 : 13 = 25 : ?
- 39.7 : 3 = 49 : ?
- 40.Divide ₹255 between Dev and Sneha in the ratio 9 : 8. How much does Sneha get (in ₹)?
Answer key
- 32
- 91
- 26
- 56
- 63
- 72
- 15
- 8
- 28
- 45
- 333
- 387
- 45
- 160
- 155
- 34
- 30
- 49
- 21
- 54
- 504
- 45
- 14
- 36
- 80
- 112
- 21
- 56
- 32
- 48
- 141
- 4
- 81
- 27
- 81
- 104
- 10
- 65
- 21
- 120
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