# Mastering Comparing Quantities: Free PDF Worksheet for Class 8 Students

Free Printable Maths Worksheets for Class 8 - Comparing Quantities

Looking for a free worksheet to help you practice comparing quantities in class 8? Look no further! Our worksheet includes multiple choice questions (MCQs) to test your knowledge and understanding of this important topic. Whether you're studying for a test, need some extra practice or just want to sharpen your skills, our worksheet is a great resource for students of all levels.

When it comes to learning math, having access to good quality resources is key to understanding the subject and achieving good grades. That's why comparing quantities class 8 worksheet is an essential tool for students studying this subject. Comparing quantities is a topic that is covered extensively in class 8 math, and it is important to have a solid understanding of the concepts in order to do well in exams.

A comparing quantities worksheet for class 8 is designed to help students practice and reinforce their understanding of this topic. These worksheets typically contain a variety of questions and exercises, ranging from simple to complex, that cover the various aspects of comparing quantities. By working through these worksheets, students can develop their problem-solving skills and become more confident in their ability to apply the concepts they have learned.

One popular type of worksheet on comparing quantities class 8 is the extra questions worksheet. These worksheets typically contain additional questions that are not covered in the standard class materials, and they are designed to challenge students and help them gain a deeper understanding of the topic. Class 8 math chapter 8 extra questions are a great way for students to test their knowledge and identify areas where they may need further practice.

Another useful resource for students studying comparing quantities of class 8 is the comparing quantities class 8 pdf. This document typically contains detailed explanations of the concepts covered in the topic, as well as examples and practice exercises. By studying these materials, students can gain a deeper understanding of the topic and improve their ability to solve problems.

When working with comparing quantities class 8 solutions pdf, it is important to use a variety of methods and tools to help solve the problems. One useful technique is to use proportion to compare quantities. This involves setting up a ratio of two quantities and then comparing them to find out which is larger or smaller. By using proportion, students can quickly and easily compare quantities and gain a deeper understanding of the topic.

In addition to the standard class materials, students can also benefit from class 8 comparing quantities extra questions. These questions are designed to help students test their knowledge and identify areas where they may need further practice. By working through these questions, students can gain a deeper understanding of the topic and develop their problem-solving skills.

Overall, comparing quantities is an important topic in class 8 math, and students should make use of all available resources to help them succeed. By working through comparing quantities class 8 worksheets, extra questions, and pdf materials, students can develop their understanding of the topic and improve their ability to solve problems. With the right tools and resources, students can achieve success in this challenging subject.

Comparing Quantities Class 8 Important formulas.

1. Ratio: A ratio is a comparison of two quantities of the same kind by division. If the ratio of two quantities a and b is a:b, it can also be written as a/b.

2. Proportion: A proportion is an equality of two ratios. If a:b = c:d, we say that a, b, c, and d are in proportion. This can also be written as a/b = c/d.

3. Percentage: Percentage is a fraction of 100. It is denoted by the symbol '%'. If x is the percentage of y, then it can be represented as (x/100) * y.

4. Profit and Loss: Profit is the amount earned when the selling price is higher than the cost price, while loss is the amount incurred when the selling price is lower than the cost price. Profit and loss can be calculated using the following formulas:

Profit = Selling Price - Cost Price Loss = Cost Price - Selling Price Profit or Loss Percentage = (Profit or Loss / Cost Price) * 100

5. Discount: Discount is the reduction in the marked price of an article. If a discount of d% is given on the marked price, then the selling price can be calculated using the following formula:

Selling Price = Marked Price - (d/100) * Marked Price

6. Simple Interest: Simple interest is the interest calculated only on the principal amount of a loan or investment. If P is the principal amount, R is the rate of interest, and T is the time period, then simple interest can be calculated using the following formula:

Simple Interest = (P * R * T) / 100

class 8 comparing quantities extra questions and answers

1. The ratio of the ages of A and B is 3:4. If the age of B is 28 years, find the age of A.

Solution: Let the age of A be 3x years. Then, the age of B is 4x years. From the given information, we know that 4x = 28, so x = 7. Therefore, the age of A is 3x = 21 years.

1. The price of a dozen mangoes is \$36. Find the cost of 8 mangoes.

Solution: Since a dozen has 12 mangoes, the price of one mango is \$36/12 = \$3. Therefore, the cost of 8 mangoes is 8 x \$3 = \$24.

1. The length of a rectangle is 20% more than its breadth. If the breadth is 10 cm, find the length of the rectangle.

Solution: Let the length of the rectangle be L cm. From the given information, we know that L = 1.2 x breadth. Substituting the value of breadth as 10 cm, we get L = 1.2 x 10 = 12 cm. Therefore, the length of the rectangle is 12 cm.

1. A mixture contains milk and water in the ratio 4:3. If the total quantity of the mixture is 35 litres, find the quantity of water in it.

Solution: Let the quantity of milk in the mixture be 4x litres and the quantity of water be 3x litres. From the given information, we know that 4x + 3x = 35. Therefore, x = 5. Hence, the quantity of water in the mixture is 3x = 15 litres.

1. The height of a triangle is 60% of its base. If the base is 20 cm, find the height of the triangle.

Solution: Let the height of the triangle be h cm. From the given information, we know that h = 0.6 x base. Substituting the value of base as 20 cm, we get h = 0.6 x 20 = 12 cm. Therefore, the height of the triangle is 12 cm.

FAQ's on Comparing Quantities asked by the students

1. What is meant by ratio?

A ratio is a comparison of two quantities of the same kind by division. It is denoted by the symbol ':'. For example, if the ratio of the number of boys to girls in a class is 2:3, it means that there are 2 boys for every 3 girls in the class.

1. What is meant by proportion?

A proportion is an equality of two ratios. It is denoted by the symbol '::'. For example, if a:b = c:d, we say that a, b, c, and d are in proportion. This can also be written as a/b = c/d.

1. How do you convert a fraction to a percentage?

To convert a fraction to a percentage, multiply the fraction by 100. For example, to convert 3/4 to a percentage, we can multiply it by 100 to get 75%.

1. How do you find the percentage increase or decrease?

To find the percentage increase or decrease, we can use the following formula:

Percentage increase or decrease = (Change in value / Original value) * 100

If the result is positive, it represents a percentage increase, while if it is negative, it represents a percentage decrease.

1. How do you calculate simple interest?

Simple interest is calculated using the following formula:

Simple Interest = (Principal * Rate of Interest * Time) / 100

Here, the principal is the amount borrowed or invested, the rate of interest is the percentage charged on the principal, and the time is the duration for which the principal is borrowed or invested.

1. What is the difference between profit and loss?

Profit is the amount earned when the selling price is higher than the cost price, while loss is the amount incurred when the selling price is lower than the cost price.

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