# NCERT Solutions for Class 8 Maths CBSE

Get to know the rational numbers or mingle with the algebraic expressions in the CBSE NCERT solutions for Class 8 Maths. The topics in the CBSE Class 8 Maths syllabus may sound difficult, but you can easily learn them with step-wise NCERT solutions. At TopperLearning, we make sure to give you the best solutions by Maths experts for quick revision so that you can study without stress. Also, NCERT Maths solutions for Class 8 are ideal to give you the necessary learning support while completing your homework. You can do a better revision of Class 8 concepts if you practise the key textbook questions with the NCERT solutions by experts. Now, understand the questions in your Class 8 NCERT Mathematics textbook and observe the way experts would solve those questions. Another thing to note is that regular practice of problem questions in Maths will help you to remember the ways to solve different kinds of questions quickly.

## Chapter-wise NCERT Solutions for Class 8 Maths

Chapter 1 - Rational Numbers

Learn about the properties of rational numbers in the number system by using our NCERT Class 8 Maths Chapter 1 solutions. This chapter covers topics such as additive inverse, multiplicative inverse, reciprocal inverse, negative of a number and more. In NCERT Maths Class 8 Chapter 1, study the representation of rational numbers on a number line and practise word problems related to rational numbers. Also, understand how you can find a rational number between two rational numbers with our NCERT solutions for Class 8 Maths Chapter 1. While learning the properties of rational numbers, you can boost your knowledge of real numbers, whole numbers, integers and natural numbers with the NCERT Class 8 Maths book solutions.

Chapter 2 - Linear Equations in One Variable

Through the NCERT concise Mathematics Class 8 solutions for this chapter, practise the methods used by experts to solve contextual problems based on the concept of linear equations in one variable. Use our NCERT solutions for Class 8 Maths Chapter 2 to learn concepts such as equations having the variable on both sides, equations reducible to the linear form etc. Knowledge of variables gained from our NCERT Class 8 Maths Chapter 2 solutions will benefit you a lot in higher classes such as Class 9, Class 10, Class 11 and Class 12. So, use TopperLearning’s NCERT Maths Class 8 Chapter 2 solutions and study better with accurate answers to the exercise questions from your Maths textbook.

This chapter gives you a thorough understanding of the properties of quadrilaterals such as the sum of angles of a quadrilateral is equal to 360 degrees. Revise the various types of polygons such as convex, concave, regular and irregular polygons from NCERT Maths Class 8. Also, learn about the properties of parallelograms. Understand the different types of curves by utilising our NCERT solutions for Class 8 Maths Chapter 3. By revising our solutions from NCERT Maths Class 8, you’ll come across several examples of question formats that are likely to appear in your Class 8 Maths exam. Also, learn to calculate the sum of the measure of the exterior angles of a polygon with our NCERT 8 Maths solutions.

Chapter 4 - Practical Geometry

Class 8 Maths Chapter 4 helps you to understand the construction of quadrilaterals, parallelograms, rhombus, squares and rectangles. Learn about the construction of geometric shapes with TopperLearning’s NCERT solutions for Class 8 Maths Chapter 4. This chapter teaches you in detail about the concept of diagonals in shapes. Our CBSE Class 8 Maths solutions will also take you through the properties of geometric shapes. With our NCERT Class 8 Maths book solutions, you can easily learn the role played by angles and sides in different scenarios.

Chapter 5 - Data Handling

In this chapter, read in detail about what is data and what are the ways to present data. With the NCERT solutions for Class 8 Maths Chapter 5, you can learn about the visual representation of different types of data. The solutions in this chapter will teach you to read data in bar graphs and pie charts. You’ll also learn about circle graphs, pictographs, double bar graphs, histograms and more by studying this chapter. You’ll also be able to revise probability and chance from the data handling perspective along with real-life applications.

Chapter 6 - Square and Square Roots

In this chapter, learn to find square roots with the help of the division method and the factor method. Practise answers of problems from your NCERT Class 8 Maths book to understand the concept of a perfect square and square roots. With our NCERT solutions for Class 8 Maths Chapter 6, you’ll be able to do your revision of the properties of square numbers. Revise NCERT Maths Class 8 book concepts like square roots of a decimal, square of a number etc. Also, for homework, use our NCERT solutions for Class 8 Mathematics Chapter 6 that are created by some of the best Maths teachers in the country. It will be easy for you to complete assignments related to this chapter.

Chapter 7 - Cube and Cube Roots

Study this interesting chapter on cube and cube roots with TopperLearning’s NCERT solutions for Class 8 Maths Chapter 7. The two key methods for solving problems from this chapter are the estimation method and the prime factorisation method. Our NCERT solutions for CBSE Class 8 Chapter 7 gives you step-wise answers to find cube roots using the factor method. Also, learn the concept of a perfect cube and how to estimate cube roots while understanding the number system. Practise problems related to Chapter 7 effectively by going through the accurate answers by our experts for this chapter.

Chapter 8 - Comparing Quantities

NCERT Class 8 Maths Chapter 8 covers topics such as compound interest, percentages, ratios, sales tax and more. Find solutions on the unitary method and its applications. Also, revise the concept of profit and loss. NCERT Maths Class 8 Chapter 8 is an important chapter because it will present you with the basics of accounting. You’ll be able to perform complex accounting in the later years if you’ve grasped the concepts in this chapter. With NCERT solutions for Class 8 Maths Chapter 8, you can practise and learn how to calculate interest, tax etc. The application of the concepts learned in this chapter will also help you to understand the basic calculations in day-to-day life.

Chapter 9 - Algebraic Expressions and Identities

Get answers on the addition, subtraction, division and multiplication of algebraic expressions in NCERT Class 8 Maths Chapter 9. Also, study about interpretations of algebraic identities. Take advantage of TopperLearning’s NCERT solutions for Class 8 Maths Chapter 9 Algebraic Expressions to understand the relevance of pure mathematical expressions and how to implement them. Also, revise answers to exercise questions from your NCERT 8th Maths book that are based on terms like polynomials, trinomials, binomials and monomials. Also, find out what is a factor and how coefficients work.

Chapter 10 - Visualising Solid Shapes

Explore the fascinating world of 3D objects and the basics of how to work with them through our NCERT solutions for Class 8 Maths Chapter 10. Learn about ways to view a 3D object such as front view, top view and side view. Get a deeper understanding of 3D objects and how to map 3D objects by revising NCERT Maths Class 8 solutions from this chapter. Understand the importance of vertices, faces and edges in 3D objects such as triangular pyramids, prisms and more. Also, practise the use of Euler’s formula in solving Maths problems with our NCERT Class 8 Maths solutions.

Chapter 11 - Mensuration

For revision of Chapter 11 Maths Class 8 Mensuration, get Class 8 Maths solutions on finding the area of a polygon and the area of a trapezium. Learn more on the concept of volume of a cube, volume of a cylinder and volume of a cuboid in NCERT Maths Class 8 Chapter 11. Also, find out how to measure the surface area of a cube, cylinder, and cuboid. Get NCERT solutions for Class 8 Maths Chapter 11 to practise the steps to calculate the area of a general quadrilateral. In addition, find out what is the meaning of capacity and what are the properties of solid shapes.

Chapter 12 - Exponents and Powers

In NCERT solutions for Class 8 Maths Chapter 12, you will learn more about the integers in the number system. Revise the laws of exponents that have integral powers. Learn how to utilise exponents for expressing numbers in the standard form. At TopperLearning, qualified Mathematics experts have prepared the solutions for Chapter 12 to assist you with the topic of exponents and powers. With enough practice, you will be able to attempt questions based on laws of exponents and power with negative components. Once you are comfortable with the topic, try solving the problems without referring to the solutions. Use the NCERT solutions to assess yourself and score better marks in your exam.

Chapter 13 - Direct and Inverse Proportions

Learn to solve word problems on direct variation and inverse variation in quantities through the NCERT 8 Maths CBSE Board solutions given in this chapter. NCERT solutions for Class 8 Maths Chapter 13 covers all the exercises given in your Maths textbook. Use these NCERT solutions to revise the concept of proportion. Also, learn to solve problems wherein you have to find out about the proportional increase or decrease of given quantities. If you practise the NCERT solutions multiple times, you’ll be able to grasp the topic and remember the ways to tackle the questions related to this topic.

Chapter 14 - Factorisation

This chapter helps you learn the concept of factorisation and algebraic identities. Our NCERT solutions for Class 8 Maths Chapter 14 will support you to understand how the division of an algebraic expression takes place. For example, find out how a polynomial can be divided by a monomial or how a monomial can be divided by a monomial. Practise the different ways to find factors in problem questions. For your exam, the latest NCERT Maths book is the most recommended textbook to prepare for this chapter. Finding the correct solutions for the NCERT Maths Class 8 textbook questions can be difficult. At TopperLearning, we give you free access to the best NCERT solutions for Chapter 14 by some of the qualified and experienced Maths teachers in India.

Chapter 15 - Introduction to Graphs

In this chapter, learn how to plot points in graphs for situations such as multiples of different numbers, perimeter vs. length for squares etc. Understand the different types of graphs such as bar graph, linear graph, histogram, pie chart etc. In our NCERT solutions for Class 8 Maths Chapter 15, you’ll find solutions to study the topic of graphs in detail. Use our NCERT Mathematics Class 8 model answers as a handy e-learning reference source for your Class 8 exam preparation and push your efforts to score top marks in the exams.

Chapter 16 - Playing with numbers

Learn how to write a 2-digit and 3-digit number in the generalised form by solving number puzzles in this chapter. Through our NCERT solutions for Class 8 Maths Chapter 16, learn about divisibility tests, letters for digits and other concepts. You’ll also enjoy learning the fun number exercises in this chapter.

## Why are NCERT Solutions for Class 8 important?

Learning Maths takes a lot of practice. NCERT solutions for Class 8 helps you to revise concepts such as linear equations, cube roots, square roots and more. These concepts form the foundation of advanced concepts that you will study in higher classes. Also, the knowledge of your Class 8 Maths concepts supports your preparation for competitive exams such as JEE, NEET etc. Our NCERT solutions are freely available as reliable reference material to study the concepts as well as the application of concepts as per the most recent NCERT syllabus for Class 8 Maths.

With expert NCERT solutions for Class 8 within your reach, you can practise solutions as much as you want. The chapter-wise format of NCERT solutions ensures that you can access specific chapters quickly to prepare for mock tests related to the chapter or complete class assignments based on the select chapters. The ease of using the NCERT Class 8 Maths book solutions through your dashboard will also save you time and effort. In this way, you do not have to lose precious time searching for specific solutions from the NCERT Class 8 Maths book. Instead, get all the textbook solutions in one place.

## Why study NCERT Solutions for Class 8 with TopperLearning?

We understand that for some students learning Maths can be a challenge. A perfect solution for facing the challenge is a thorough revision using the NCERT Class 8 Maths book. Our NCERT solutions for Class 8 are designed to lend you the necessary support for sufficient revision. Also, being an online study portal, it is easy for students to access TopperLearning study materials anytime from anywhere. Although NCERT solutions are a free resource, these are high-quality study materials. Our experts have prepared step-by-step model answers of Maths NCERT Class 8 that cover all the steps for scoring full marks in Maths problems as per the CBSE exam guidelines. If you thoroughly practise our Maths step-wise solutions during your scheduled revision, you are more likely to remember the expert problem-solving methods during your exam.

TopperLearning’s solutions are utilised by many students so that they do not need to look online for accurate answers for exercise questions from the Class 8 Maths textbook. Through the NCERT Maths textbook solutions for Class 8, you can improve your problem-solving capabilities and score good marks. Our Maths experts support your learning by giving more details about the NCERT Class 8 Maths book concepts and on the methods used to solve Maths problems through valuable concept notes. If you find a problem question to be difficult, practise the solution for that problem several times till you understand it. If you still have any doubts, you can seek support from our Maths experts through our portal.

## Frequently Asked Questions for NCERT Solutions for Class 8

Where can I find free NCERT solutions for Class 8 Maths?

TopperLearning provides free online solutions for exercise questions from your NCERT Class 8 Maths textbook. You can find them under ‘textbook solutions’ in the Class 8 resources section of our study portal.

Which chapters from Maths Class 8 NCERT are present on TopperLearning?

Solutions for all 16 chapters from the Maths NCERT Class 8 textbook covering topics such as rational numbers, factorisation, practical geometry etc. are available on TopperLearning.

Will the NCERT Maths book Class 8 solutions be enough for me to score high marks?

NCERT solutions for Class 8 Maths are a great resource for revision. However, for scoring high marks, you should practise more Maths problems by attempting sample papers and previous years’ question papers.

I don’t know which chapter to start for revision using NCERT solutions. What should I do?

First of all, download the latest CBSE NCERT syllabus for Class 8 Maths. Decide whether you want to revise specific chapters or topics from the entire syllabus. Based on your decision, plan your schedule for revising one chapter at a time.

How to prepare for Class 8 Maths exams?

For Maths preparation tips, you can read our blog on how to prepare for CBSE Class 8 Maths here.

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