NCERT Solutions for Class 8 Maths Chapter 11 Exercise 11.1 Direct and Inverse Proportions - PDF Download

NCERT solution for class 8 maths chapter 11 ex 11.1Direct and Inverse proportions is based on concepts and techniques related to proportions and finding direct proportions. These solutions will provide students with the opportunity to explore the relation between terms, formulas and values that are directly proportional to one another. Class 8 maths chapter 11 exercise 11.1 NCERT solutions is a step-by-step guide that gives you the practice to reduce your errors.

Ex 11.1 class 8 maths chapter 11 solutions consists of 10 short answer type questions that focus on finding the directly proportional quantities. These questions will help you get a basic grasp of these important concepts and help you understand them better. Ex 11.1 class 8 maths ch 11 NCERT solutions are prepared by the academic team of maths at eSaral. These solutions will help you to prepare for exams that will build your self-confidence. Download NCERT solutions PDF for class 8 maths chapter 11 ex 11.1 from eSaral. These solution PDFs are available for free to download.

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Topics Covered in Exercise 11.1 Class 8 Mathematics Questions

Ex 11.1 class 8 maths chapter 11 solutions are provided topic based on direct proportion. You will get to know this topic in detail provided here.

1. Variation - If the values of two objects depend on one another, such that the increase or decrease of one object influences the value of the other object, then those two objects are referred to as being in variation.
2. Direct Proportion - It is said that two quantities, a and b, are in direct proportion, if

• Increase in a increases the b
• Decrease in a decreases the b

However, the ratio between their respective values shall be the same.

• a and b will be in direct proportion if a/b = k(k is constant) or a = kb.
• In such a case if b₁, b₂ are the values of b corresponding to the values a₁, a₂ of a respectively then, a₁/ b₂ =a₂/b₁

3. Symbol of Proportion 

We denote proportion by ‘∝'

When two quantities a and b are in proportion then they can written as a ∝ b where ∝ represents “is proportion to”.

There are two methods to solve questions related to direct proportion.

1. Tabular Method
2. Unitary Method

Tips for Solving Exercise 11.1 Class 8 Chapter 11 Direct and Inverse Proportions

To solve questions of ex 11.1 class 8 maths chapter 11, you need to understand the concept of direct proportion. eSaral’s subject experts have provided here some tips to solve questions related to this topic. You can go through these tips to get a good grasp of the concepts and can solve questions easily.

1. Students will be able to easily learn the methods and techniques of finding the value of direct proportions by regularly practicing all the questions included in NCERT solutions class 8 maths chapter 11 ex 11.1 direct and inverse proportions.
2. Practice the properties-based questions based on NCERT solutions class 8 maths ex 11.1 and you will get the skills needed for advanced maths questions.
3. These solutions can also be used to review all terms and definitions before exams. NCERT solutions class 8 maths chapter 11 exercise 11.1 helps to strengthen all difficult topics and sub-topics related to direct proportion easily.

Importance of Solving Ex 11.1 Class 8 Maths Chapter 11 Direct and Inverse Proportions

There are a lot of benefits of studying from NCERT solutions class 8 maths ex 11.1. We have listed some of them right here, so you can get the most out of NCERT solutions class 8 maths chapter 11 ex 11.1 provided by eSaral.

1. The NCERT solutions class 8 maths at eSaral are prepared by our best subject matter experts. The experts have explained the concepts of direct proportion of ex 11.1 in easy to understand language which can help you in preparing for exams.
2. Class 8 maths chapter 11 ex 11.1 NCERT solutions provides a wide coverage on all the types of questions associated with the topic of direct proportion that gives you a clear and precise understanding of concepts. 
3. These solutions are also available in PDF format that will help you to cross-check your answers.
4. By practicing examples and questions of ex 11.1 in NCERT solutions will help you to increase your problem solving skills.
   

Frequently Asked Questions

Question 1. What do you understand by the term ‘Variation’ in class 8 maths chapter 11 ex 11.1?

Answer 1. If the values of two objects depend on one another, such that the increase or decrease of one object influences the value of the other object, then those two objects are referred to as being in variation.

Question 2. What are some examples of Direct proportion in class 8 maths chapter 11 ex 11.1?

Answer 2. There are few examples of direct proportion.

• The more hours you work, the more money you earn.
• The more ingredients you use, the more sweets you can bake.
• The faster you run, the more distance you cover.