# NCERT solutions for class 8 Maths

Maths is one such subject that requires considerable time and effort. We at Physics Wallah have devised specific NCERT Solutions for class 8 Maths for all students. NCERT textbook of class 8 maths consists of 16 chapters having multiple exercises. This page consists of solutions to all questions asked in the NCERT textbook of class 8 maths. If students are looking forward to clearing competitive examinations in the future, they need to study specifically. This NCERT solution for class 8 maths is categorized in chapter-wise segments.

## NCERT Solutions for Class 8 Maths Chapters (Updated 2022-23)

### Chapter 1 Rational Numbers

In this chapter, students will learn properties related to real numbers, whole numbers, rational numbers, and natural numbers—independent, associative, and closed. The chapter covers the role of zero and one, multiplication over addition, and the representation of the rational numbers on number line, along with finding rational numbers between the two rational numbers. The topics of additive identity and multiplicative identity are also covered in this chapter. Two exercises in this chapter contain questions from all the topics covered in the chapter.

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### Chapter 2 Linear Equations in One Variable

The chapter Linear Equations in One Variable deal only with the linear expression of one variable. Here, the chapter will deal with equations with linear expressions in only one variable. Such equations are known as linear equations in one variable. This chapter has six exercises, with a total of 65 questions. The chapter covers a variety of concepts, including solving the equation of linear equations in one variable, some of its applications, reducing equations to a more straightforward form, and word problems related to linear equations in one variable.

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The chapter-3, Understanding Quadrilaterals, of Class 8 Maths, as the name says, that provides the students with a proper understanding of quadrilaterals. The chapter also covers polygons, including triangles, quadrilaterals, pentagons, and hexagons. The chapter contains four exercises that aid the students in understanding these shapes properly.

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### Chapter 4 Practical Geometry

The Practical Geometry chapter contains a method of constructing a quadrilateral with various given parameters. The chapter consists of 5 exercises, each dealing with different methods of quadrilateral construction. For example, the first exercise deals with the construction of quadrilaterals when given the lengths of the four sides and the diagonal; similarly, the second exercise involves constructing quadrilaterals, given two diagonals and three sides, and so on. So we can conclude that by studying this chapter, students are well-versed in all terms of the quadrilateral for the next lessons.

### Chapter 5 Data Handling

A collection of information that can be used for analysis is called data. In this chapter, students will learn about the organization and representation of data. Arranging data systematically is called data processing. In this chapter, students will learn to represent this data schematically as a pictogram, a bar chart, a double bar chart, a pie chart, and a histogram. Throughout this chapter, students will be introduced to the concept of probability. Three exercises in this chapter cover all the concepts covered in the chapter.

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### Chapter 6 Square and Square Roots

The chapter-6, Squares and Square Roots helps the students learn about the concept of square numbers and the square root of a number. The chapter deals with properties of square numbers, interesting patterns that could be learned by finding square of a number, finding square roots through various methods, Pythagorean triplets, Square roots of decimals, and much more.

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### Chapter 7 Cube and Cube Roots

In chapter 7, Cubes and Cube Roots, students discuss the numerous strategies to find out the cubes and cube roots of a number. The chapter discuss about the finding cube of different number, also some interesting patterns that could be learned using cubes and finding the cube roots. Two exercises in this chapter will help the students understand the basics of Cubes and Cube Roots in depth.

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### Chapter 8 Comparing Quantities

The Comparing Quantities chapter helps students learn to compare percentage increases and decreases, market value, sale value, discount, etc. The chapter discuss about an important concept that can be used in everyday life, Interest. Students will learn about simple Interest, compound interest calculated semi-annually, quarterly, monthly, or annually, and much more. There are three exercises in this chapter to help students learn the concept of comparing quantities.

### Chapter 9 Algebraic Expressions and Identities

Chapter 9, Algebraic Expressions and Identities, helps the students to understand the concepts covered in this chapter. The terms factors and coefficients are related to the Algebraic Expressions discussed in this chapter. The basics of binomials, monomials and polynomials are also discussed in this chapter. Students also examine the subtraction, addition and multiplication of Algebraic Expression. The concept of Identity discussed in this chapter. The five exercises in the chapter cover all the concepts present in Algebraic Expressions and Identities.

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### Chapter 10 Visualizing Solid Shapes

In this chapter, with the help of three exercises, students also learn to visualize solid shapes in different dimensions. This chapter is exciting since it deals with viewing 3-D shapes, Mapping the space around us, and learning about faces, edges, and vertices. The chapter also discusses Euler’s formula, which states that F + V – E = 2, where F is Faces, V is Vertices, and E is Edges, along with its application.

### Chapter 11 Mensuration

Students in lower classes must discuss the area and perimeter of various closed plane figures such as rectangles, triangles, circles, etc. In this chapter, Mensuration, students will also learn to calculate problems related to the perimeter and area of other plane closed figures like quadrilaterals. Students will discuss the surface area and volume of different solid shapes, such as a cube, cuboids, and cylinders. Four exercises are present in this chapter.

### Chapter 12 Exponents and Powers

In chapter 12, Exponents and Powers, students discuss different concepts, including powers with negative exponents, using exponents and laws of exponents to express the numbers in standard form, and comparing extremely large numbers with small numbers. This chapter consists of two exercises to help the students learn about the topics of Exponents and Powers.

### Chapter 13 Direct and Inverse Proportions

This chapter contains two exercises that contain questions based on direct and indirect proportionality. Two quantities, x and y, are said to be directly proportional if they increase (decrease) together so that the ratio of their corresponding values ​​remains constant. On the other hand, two quantities, x, and y are said to be inversely proportional if an increase in x causes a proportional decrease in y (and vice versa) so that the product of their corresponding values ​​remains constant.

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### Chapter 14 Factorization

In this chapter, students will learn to factorize. Topics in this chapter include factoring natural numbers and algebraic expressions, factoring by rearranging terms, factoring by identities. The chapter also deals with division of algebraic expressions, which includes dividing a monomial by another monomial, dividing a polynomial by a monomial, etc. There are four exercises in this chapter that contain questions covering all the topics covered in the chapter.

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### Chapter 15 Introduction to Graphs

In chapter 15, Introduction to Graphs, students discuss representing different data types with different kinds of graphs. The various types of graphs include bar graphs, pie graphs, line graphs, and linear graphs. The chapter will help the students learn how to locate a point and coordinate in a graph. A total of three exercises are present in the chapter that will help the students understand the concepts of Graphs.

### Chapter 16 Playing with Numbers

So far, students have studied different types of numbers such as natural numbers, whole numbers, integers and rational numbers. They could also study a number of interesting properties about these numbers, finding factors, multiples and relationships between them. Similarly, students can explore a wide genre of numbers in detail in this chapter. These ideas can help students reason about divisibility tests. There are two exercises in this chapter that cover the topic of Playing with Numbers.

### Why are NCERT Solutions for Class 8 Maths important?

Since maths is one such subject that cannot be mugged up and a certain level of persistence. This NCERT solution for class 8 Maths created by us helps the students to answer questions accordingly. In mathematics, every question holds significant importance, whereas NCERT solutions for class 8 Maths are helpful. The team at Physics Wallah is well experienced to guide students in an optimum manner.

We provide students with an effective and practical guide through NCERT solutions for class 8 Maths prepared by our team. In today’s time, obtaining the right guidance for students can be very difficult. The team at Physics Wallah is all the way available to provide you with guidance. The students can get themselves acquainted with the latest syllabus with the planned approach through NCERT solutions for class 8 Maths.

This study material is very useful for students looking forward to making their preparation very strong. These NCERT solutions for class 8 maths are very helpful for students to revise the complete syllabus. The study material has been prepared in a very concise manner. Our faculties at Physics Wallah have done extensive research while preparing NCERT solutions for class 8 maths for students. Every sum and theorem is explained in a detailed manner.

### How to Study NCERT Solutions for Class 8 Maths effectively?

The experts in our team belong to prominent institutions like IITs. The NCERT solutions for class 8 maths study material from Physics Wallah have always been a preference of study material provided by the team at Physics Wallah. To make students' preparation easy, we have lined down important questions in our NCERT solutions for class 8 maths.

Very deep research has been done on previous year's question papers. The NCERT solutions for class 8 maths have been prepared after continuous error checking and the complete study material is flawless. We also provide students with a strategy to target exams specifically, whether they are preparing for school exams or competitive exams.

### Tips to solve Class 8 Maths Numerical

1. Numerical solving skills in Maths require good concept and application of the concept in numerical.
2. To build good concepts in maths you require a textbook that consists of detailed theory with step-by-step solved examples explaining all the concepts.
3. NCERT textbook will help you with its unique theory explanations and added solved questions. The theory given in NCERT clarifies your concept.
4. Once you are confident in concepts that you require questions to solve.
5. The NCERT consists of a good number of questions and the best part is the difficulty level of questions increases slowly which helps you to increase your confidence level and improve your problem-solving ability.
6. While solving exercises NCERT Solutions for class 8 Maths will help you a lot.
7. Solve all MCQ given in the class 8 maths section of Physics Wallah chapter-wise.

### Why Physics Wallah is best for NCERT Solutions for Class 8 Maths?

The team at Physics Wallah believes in sharing study material with needy students. We have provided complete NCERT solutions for class 8 maths on our website for free. Students looking forward to scoring great marks in their examination can download with a single click. The NCERT solutions for class 8 maths study material are provided in Pdf format.

Students can also share this study material among their friends in an easily shareable format. This study material can be accessed on multiple devices. Students can get their doubts cleared and concepts stronger from NCERT solutions for class 8 maths. Right at home, you can get the guidance of top professors in India.

### Tips to score Good Marks in Class 8 Maths

Maths is the subject of intensive practice and application of concepts in numerical. To score good marks in maths one must follow a few important do and don’ts

What are do’s

1. You must read the theory parts of the chapter.
2. Make sure you have a good understanding of the chapter and you have prepared your note in detail.
3. Write down all important math formulas and try to remember all the important formulas used in these chapters.
4. Write down step-by-step solutions to important and difficult questions.
5. Practice questions from the Physics Wallah class 8 maths section, do objective questions and try to solve all questions by your method don’t jump to the solution immediately.

What are don'ts

1. Don’t believe in learning maths from maths solutions, always try to prepare your solution make sure you have attempted questions several times before moving to the solution part of the question.
2. Try to build concepts from the NCERT textbook.

### Right Approach to use NCERT Solutions for Class 8 Maths

In class 8 maths you are going to read lots of new chapters which are very important in your upcoming classes. Mathematics foundations start to form class 8 maths so one must be careful while preparing your subject.The best approach to build your subject is to read the theory given in the NCERT textbook which is explained very nicely.

You can easily understand the concepts with the theory and are able to learn how to apply the formula in questions with the help of examples given in NCERT textbook. Once you have gone through the theory written in the textbook of NCERT that attends your tuition or school lecture reading theory before your maths class will bust your confidence in class.

Start preparing your notes based on your class 8 maths. To prepare notes NCERT textbooks are a good resource. If you are preparing for the Olympiad or want to have a more solid foundation in class 8 maths then start reading the Physics Wallah resource given in the maths section.

Start with exercise 1 try to solve the question by yourself, don't take any help from the solution or teacher. If you feel you have attempted a particular question several times still your answer is incorrect then take help from NCERT solutions for class 8 maths prepared by Physics Wallah.

Q1. How can I study for Class 8 Maths?

Ans. To score good marks in class 8 Maths one must follow the right strategies from day one of his/her class 8. Start your preparation with the NCERT textbook, read the theory carefully, and try to prepare your notes of every chapter by mentioning all-important formulas required in the chapter.

Move to solve the exercise and try to solve all questions given in the NCERT exercise with the help of NCERT solutions for class 8 Maths. While preparing the note make sure you have added all important points to the chapter. Do as many as the questions you can do use NCERT Exemplar to solve more questions of class 8 Maths.

Q2. What are the chapters of Class 8 Maths?

Ans. There is a total of 16 chapters which are as follows:

• Chapter 1: Rational Numbers
• Chapter 2: Linear Equations in One Variable
• Chapter 4: Practical Geometry
• Chapter 5: Data Handling
• Chapter 6: Square and Square Roots
• Chapter 7: Cube and Cube Roots
• Chapter 8: Comparing Quantities
• Chapter 9: Algebraic Expressions and Identities
• Chapter 10: Visualizing Solid Shapes
• Chapter 11: Mensuration
• Chapter 12: Exponents and Powers
• Chapter 13: Direct and Inverse Proportions
• Chapter 14: Factorization
• Chapter 15: Introduction to Graphs
• Chapter 16: Playing with Numbers

Q3. What are the most important chapters in NCERT Class 8 Maths?

Ans. Based on the weightage of allocated marks mensuration is the highest weightage unit and if you want a good foundation in class 8 Maths for class 10 and 11 you need to focus on few chapters like Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Mensuration, Exponents, and Powers.

Q4. From where we will get MCQ-based Questions in Class 8 Maths?

Ans. Objective questions are a good method to check your concepts. Solving MCQ-based questions helps you to identify the error in the concept and you will get a direction to modify your mistakes. To solve MCQ-based questions for class 8 Maths uploaded by Physics Wallah. All questions are with detailed solutions to give you a better understanding.

Q5. What is the correct method to use NCERT solutions for class 8 Maths?

Ans. The best way to use NCERT solutions for class 8 Maths is using it as a reference for those questions which you aren't able to solve after taking multiple attempts. While solving the NCERT exercise make sure you learn all formulas which are used in the chapters. Never depend on NCERT Solutions for Class 8 Maths.

Q6. Sample papers along with NCERT class 8 Maths will help?

Ans. Sample papers for class 8 Maths are very important for the entire revision of the syllabus. One must do practice from sample papers. To help you our team uploaded several sample papers for class 8 maths having all types of questions like subjective and MCQ-based questions.

Q7. If we are preparing for the Olympiad and other competitive exams, do we need additional resources?

Ans. Now a day’s foundation course is doing very well preparing for the Olympiad exam from the very beginning like from class 8. If you are preparing for a foundation course then you need some additional resources apart from NCERT class 8 Maths. For such students, Physics Wallah prepared a separate section for class 8 Maths to read all theories and solve additional questions given in this section.