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Worksheet: Ratio and Proportion | Mathematics for Class 5 PDF Download

Q1: Express each of the following ratios in the simplest form. 
(a) 5.6 m to 28 cm
(b) dozen to a score
(c) score to a gross
(d) 6 hours to a day
(e) 20 litres to 0.75 litres
(f) 1728 : 2400

Q2: Simplify the following ratios. 
(a) 1/4 : 1/6 : 1/8
(b) 3.6 : 4.5
(c) 3²/₃ : 4¹/₂
(d) 3 : 2.4 : 2¹/₄

Q3: Determine if the following ratios form a proportion.
(a) 25 cm : 1 m = $40 : $160
(b) 200 ml : 2.5 l = $4 : $50
(c) 32 m : 64 m = 7 seconds : 14 seconds
(d) 6.5 litres : 13 litres = 50 kg : 10 kg

Q4:  Divide 3000 among P, Q, R in the ratio 2 : 3 : 5

Q5: Which of the following statements are true?
(a) 25 : 35 = 45 : 55
(b) 105 : 30 = 49 : 14
(c) 45 : 48 = 60 : 64
(d) 2/3 : 7/9 = 3/4 : 5/6
(e) 4.2 : 12.6 = 1.5 : 4.5
(f) 12 : 18 = 28 : 12

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FAQs on Worksheet: Ratio and Proportion - Mathematics for Class 5

1. What is a ratio and how do we express it?
Ans.A ratio is a way to compare two quantities by using division. It is expressed in the form of 'a:b' or as a fraction 'a/b', where 'a' and 'b' are the quantities being compared.
2. How can we find the proportion of two ratios?
Ans.To find the proportion of two ratios, we can use the cross-multiplication method. If we have two ratios a:b and c:d, we can say that they are in proportion if a*d = b*c.
3. Can you give an example of a real-life situation where ratios are used?
Ans.Yes! Ratios are often used in cooking. For example, if a recipe calls for 2 cups of flour to 3 cups of sugar, the ratio of flour to sugar is 2:3.
4. What is the difference between a ratio and a proportion?
Ans.A ratio compares two quantities, while a proportion states that two ratios are equal. For example, the ratio of boys to girls in a class could be 3:2, and if another class has a ratio of 6:4, we can say that the two ratios are in proportion.
5. How do we simplify a ratio?
Ans.To simplify a ratio, we divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 8:12, we divide both 8 and 12 by their GCD, which is 4, resulting in the simplified ratio 2:3.
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