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 : 9 = 14 : ?
- 2.Divide ₹522 between Sneha and Zoya in the ratio 4 : 5. How much does Sneha get (in ₹)?
- 3.Divide ₹72 between Zoya and Aarav in the ratio 8 : 1. How much does Zoya get (in ₹)?
- 4.Divide ₹135 between Rahul and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
- 5.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
- 6.Divide ₹160 between Pooja and Tara in the ratio 7 : 3. How much does Tara get (in ₹)?
- 7.Divide ₹532 between Aarav and Meera in the ratio 9 : 5. How much does Aarav get (in ₹)?
- 8.8 : 7 = 64 : ?
- 9.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
- 10.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
- 11.Divide ₹187 between Aditya and Kavya in the ratio 3 : 8. How much does Kavya get (in ₹)?
- 12.Divide ₹156 between Farhan and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
- 13.Divide ₹56 between Aarav and Ananya in the ratio 1 : 6. How much does Aarav get (in ₹)?
- 14.8 : 3 = 56 : ?
- 15.Divide ₹242 between Saanvi and Isha in the ratio 4 : 7. How much does Isha get (in ₹)?
- 16.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
- 17.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 18.Divide ₹30 between Rohan and Arjun in the ratio 2 : 3. How much does Rohan get (in ₹)?
- 19.Divide ₹504 between Diya and Ishaan in the ratio 4 : 5. How much does Diya get (in ₹)?
- 20.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
- 21.Divide ₹120 between Kavya and Dev in the ratio 4 : 1. How much does Kavya get (in ₹)?
- 22.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 23.9 : 4 = 18 : ?
- 24.Divide ₹432 between Priya and Meera in the ratio 7 : 1. How much does Meera get (in ₹)?
- 25.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
- 26.12 : 13 = 60 : ?
- 27.Divide ₹30 between Tara and Kabir in the ratio 1 : 2. How much does Kabir get (in ₹)?
- 28.11 : 7 = 44 : ?
- 29.4 : 6 = 36 : ?
- 30.Divide ₹430 between Isha and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
- 31.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
- 32.7 : 3 = 28 : ?
- 33.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
- 34.Divide ₹407 between Dev and Diya in the ratio 7 : 4. How much does Dev get (in ₹)?
- 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 36.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
- 37.3 : 6 = 21 : ?
- 38.Divide ₹154 between Dev and Rahul in the ratio 2 : 9. How much does Dev get (in ₹)?
- 39.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
- 40.Divide ₹208 between Ananya and Karan in the ratio 5 : 8. How much does Ananya get (in ₹)?
Answer key
- 63
- 232
- 64
- 75
- 15
- 48
- 342
- 56
- 30
- 56
- 136
- 91
- 8
- 21
- 154
- 50
- 12
- 12
- 224
- 12
- 96
- 28
- 8
- 54
- 6
- 65
- 20
- 28
- 54
- 43
- 36
- 12
- 49
- 259
- 16
- 80
- 42
- 28
- 15
- 80
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