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 : 3 = 56 : ?
- 2.12 : 7 = 96 : ?
- 3.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
- 4.The ratio of boys to girls in a class is 5 : 3. There are 35 boys. How many girls are there?
- 5.Divide ₹330 between Ishaan and Ananya in the ratio 8 : 7. How much does Ishaan get (in ₹)?
- 6.Divide ₹308 between Farhan and Tara in the ratio 6 : 1. How much does Farhan get (in ₹)?
- 7.Divide ₹265 between Manav and Rohan in the ratio 3 : 2. How much does Rohan get (in ₹)?
- 8.Divide ₹230 between Kabir and Diya in the ratio 1 : 9. How much does Kabir get (in ₹)?
- 9.2 : 7 = 6 : ?
- 10.7 : 5 = 56 : ?
- 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 12.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
- 13.Divide ₹210 between Saanvi and Ishaan in the ratio 5 : 9. How much does Saanvi get (in ₹)?
- 14.Divide ₹112 between Kabir and Dev in the ratio 3 : 1. How much does Kabir get (in ₹)?
- 15.4 : 5 = 32 : ?
- 16.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
- 17.Divide ₹117 between Kavya and Arjun in the ratio 7 : 2. How much does Kavya get (in ₹)?
- 18.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
- 19.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 20.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 21.Divide ₹110 between Arjun and Vivaan in the ratio 9 : 2. How much does Arjun get (in ₹)?
- 22.9 : 6 = 45 : ?
- 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 24.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 25.Divide ₹448 between Dev and Saanvi in the ratio 9 : 5. How much does Dev get (in ₹)?
- 26.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 27.10 : 8 = 20 : ?
- 28.2 : 3 = 8 : ?
- 29.Divide ₹352 between Zoya and Pooja in the ratio 5 : 3. How much does Zoya get (in ₹)?
- 30.6 : 15 = 18 : ?
- 31.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
- 32.Divide ₹196 between Saanvi and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
- 33.Divide ₹544 between Rahul and Ishaan in the ratio 8 : 9. How much does Rahul get (in ₹)?
- 34.12 : 13 = 108 : ?
- 35.6 : 14 = 30 : ?
- 36.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
- 37.Divide ₹42 between Karan and Vivaan in the ratio 2 : 1. How much does Karan get (in ₹)?
- 38.Divide ₹65 between Nisha and Aarav in the ratio 9 : 4. How much does Nisha get (in ₹)?
- 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
- 40.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
Answer key
- 24
- 56
- 27
- 21
- 176
- 264
- 106
- 23
- 21
- 40
- 32
- 6
- 75
- 84
- 40
- 28
- 91
- 10
- 12
- 96
- 90
- 30
- 72
- 75
- 288
- 45
- 16
- 12
- 220
- 45
- 81
- 147
- 256
- 117
- 70
- 30
- 28
- 45
- 200
- 5
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