NCERT Solutions for Class 8 Maths Chapter 13 – Direct and Inverse Proportions

NCERT Solutions for Class 8 Maths Chapter 13 – Direct and Inverse Proportions will make it easier for you to find the right solutions to your queries related to this chapter. Maths NCERT Class 8 Chapter 13 has 2 exercises in total. In chapter 13 of NCERT Solutions, you will learn about direct proportions, indirect proportions and their derivations. The applications and properties of these proportions are also discussed with example. The chapter is easy to understand but sometimes solving the exercise becomes a hassle. 

The best subject matter experts of Maths have prepared these NCERT Solutions as per the CBSE syllabus and the latest exam pattern. They have presented the solutions in a very simplified language along with stepwise explanations, examples, graphs and images for your better understanding.

Our NCERT Solutions for Chapter 13 will be helpful to you as they are comprehensive. They will help you understand all the topics of the chapter and hence prepare well for your exams. Read the summary of the chapter first and then solve the NCERT exercises for clarity. 

Summary of NCERT Class 8 Maths Chapter 13 – Direct and Inverse Proportions

Chapter 13 of Class 8 Maths NCERT is based on the topic of Direct and Inverse Proportions. The direct proportion explained in the chapter consists of two variables in which both the variables change at the same rate. If one of the variables increases (decreases), the other variable to increases (decreases). The graph of a direct proportion as shown in the chapter is a straight line and it passes through the origin.

The difference between Direct and Inverse Proportion is also explained in the chapter with the help of equations. The equation of Direct Proportions is y=kx, and that of Inverse Proportion is y=k/x. In these equations, k is constant, and x and y are variables.

An example of direct proportion will be like suppose if a lady makes 10 chapatis in an  hour, how many chapatis she can make in five hours. then as per direct proportion where k= 10, x= 5 then y comes out to be 50. We can see from the above example that if a lady works for more hours, she can make more chapatis and if she works for fewer hours she will be able to make fewer chapatis. An example of inverse proportion is when x increases then y decreases. If x=2 and k=1 then y=k/x which will be equal to 1/2.

The chapter summary helps the students to strengthen the foundation of the chapter and to clear their concepts well so as to provide a base for future complex topics. The solved and unsolved problems to exercises will help you greatly to master the concept well and to perform better.

Important Concepts to be Remembered about Direct and Inverse Proportions

  • Direct proportion is y=kx, where k is constant and x and y are variables, in which, if x increases (decreases) then y also increases (decreases);
  • Inverse Proportion is y=k/x, where k is constant and x and y are variables, where if x increases (decreases) then y decreases (increases) accordingly.

Discussion of exercises in Chapter 13 – Direct and Inverse proportions

The chapter consists of 2 exercises for practice. The exercises are quite easy and help you to understand the topic better.

Exercise 13.1 consists of 10 questions. The questions are quite basic like to find whether the given numbers are in direct proportional or not and if a particular machine produces x goods in some hours how much will they produce in y hours. This exercise deals with questions on direct proportional.

Exercise 13.2  consists of 11 questions. This exercise deals with questions on inverse proportion. The questions are basically of time and work.

Benefits of NCERT Solutions for Class 8 Maths Chapter 13 – Direct and Inverse Proportions

The benefits of referring to these solutions prepared by Instasolv for Class 8 Maths Chapter 13 are as mentioned below:

  • These NCERT Solutions for Class 8 Maths is prepared by the highly qualified Mathematicians who have relevant information related to the chapter;  
  • These notes have been prepared in a very detailed manner to guide and help you work hard and score well in your exams; 
  • The solutions are provided with explanations with the help of examples so that your concepts are cleared to the best extent possible;  
  • You need not worry or attend any tuition classes as the provided solutions will offer a clear explanation to all the questions related to Direct and Inverse Proportions.

Tips for Preparing Chapter 13 – Direct and Inverse Proportions

Follow the following tips while you are studying for Chapter 13 of NCERT Class 8 Maths Textbook for better understanding and to score well.

  • First and foremost, read your NCERT chapter 13 on Direct and Indirect Proportions thoroughly; 
  • After studying the chapter, start practising the solved examples and then practice the unsolved questions; 
  • Practice both the exercises in the chapter for making your concept strong as it will greatly help you improve your performance level; 
  • If you get stuck in any question, refer to the NCERT Solutions for Class 8 Maths Chapter 13 – Direct and Inverse Proportions prepared by the Instasolv team. It will clear all your doubts related to this chapter.

Above mentioned NCERT Solutions for Class 8 Mathematics Chapter 13 – Direct and Inverse Proportions is a perfect guide for you to prepare well for your exams. After referring to such solutions, your concept on Direct and Inverse Proportion will become strong and you will be confident enough to solve any of the questions related to this topic. 

These solutions will help you build your base strong and to prepare yourself to a level you can tackle any question related to this topic. The solutions are provided in a simplified manner for your better understanding. Our solutions will definitely help you to excel in your classes and to increase your overall knowledge of the Chapter on Direct and Inverse Proportions.