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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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The document Worksheet: Ratio and Proportion | Mathematics for Class 5 is a part of the Class 5 Course Mathematics for Class 5.
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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? |  |
| 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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