NCERT Solutions for Class 8 Maths: Download PDFs

NCERT Solutions for Class 8 Maths: The NCERT Solutions for Class 8 Maths cover all of the questions from the textbook that are prescribed by the CBSE Board. Using the NCERT Maths Solution for Class 8 to prepare for examinations will undoubtedly provide students with an advantage in terms of exam performance. Embibe’s NCERT Class 8 Solutions for Maths have been developed to assist students in solving problems with ease.

The Maths Class 8 textbook solutions provided here include well-prepared tasks as well as extensive explanations with NCERT solution for class 8 maths chapter 9 to NCERT solution for class 8 maths chapter 11. It is constructed by qualified tutors, making learning and understanding ideas a breeze. The NCERT Solutions for Class 8 Maths are written in such a way that students will be able to grasp and master the material with confidence. Read to know more.

Chapter-wise Solution for Class 8 Maths PDF Free Download

Check the NCERT Maths Class 8 textbook solutions for all chapters:

Chapter-wise Solutions for Class 8 Mathematics

For Class 8, we have chapter-by-chapter NCERT Maths Solutions like NCERT Solutions for Class 8 Maths Chapter 1 and NCERT Solutions for Class 8 Maths Chapter 2. Students will be able to comprehend and solve all of the NCERT Class 8 mathematics book questions with the solutions offered on this website. These solutions are available for free on the internet or as a PDF download for students.

Students will have a better understanding of the different sorts of questions as well as the marking scheme by solving NCERT Maths question papers and practice papers. Students may also practise example issues by learning from NCERT Exemplar Class 8.

All students are advised to refer to NCERT Maths Class 8 Textbook Solutions by Embibe to score higher marks in the final exams. Our academic experts have solved all the exercise questions keeping in mind the latest syllabus prescribed by the CBSE board. We have prepared NCERT Class 8 Mathematics Book Solutions in a manner that any 8th class student can understand and ace the exam.

Practice 8th CBSE Exam Questions

In the following sections, we have provided the chapter descriptions along with all the exercises and NCERT complete solutions of 8th Class Mathematics.

Important Chapters of Class 8 Maths NCERT Solutions

All of the chapters are important for exam preparation and to promote a concept-based learning approach. However, as compared to other chapters, a few carry a higher weightage of marks. This will also aid the students in improving their overall Class 8 test result. As they progress through their study, several of the core chapters will be explored in depth. Some of the key chapters to study for the examinations are square and square roots, mensuration, introduction to graphs, quadrilaterals, and so on.

Class 8 Maths Chapter 1: Rational Numbers

Recognising different types of numbers forms the basis of Mathematics. In the NCERT Solutions for Class 8 Maths Chapter 1, students will learn about real numbers, whole numbers, natural numbers, integers, and fractions, such as ½, ¾, etc., and how to add, subtract, multiply, and divide fractions.

1.1 Introduction

1.2 Properties Of Rational Numbers

• Closure
• Commutativity
• Associativity
• The role of zero 0
• The role of 1
• Negative of a number
• Reciprocal
• Distributivity of multiplication over addition for rational numbers

1.3 Representation Of Rational Numbers on the Number Line

1.4 Rational Numbers Between Two Rational Numbers

Download – NCERT Solutions for Class 8 Maths Chapter 1 PDF

Class 8 Maths Chapter 2: Linear Equations in One Variable

In this chapter, linear equations with one variable are introduced to students. Equations such as 2x – 3 = 7, which have only one variable, “x” are known as linear equations with one variable. The NCERT solution for Class 8 Maths Chapter 2 contains problems where students have to find the value of variables through such equations, simplify equations, and apply them in realistic scenarios. The sub-topics in this chapter are listed below:

2.1 Introduction

2.2 Solving Equations Which Have Linear Expressions On One Side And Numbers On The Other Side

2.3 Some Applications

2.4 Solving Equations Having The Variable On Both Sides

2.5 Some More Applications

2.6 Reducing Equations To Simpler Form

2.7 Equations Reducible To The Linear Form

Download – NCERT Solutions for Class 8 Maths Chapter 2 PDF

Class 8 Maths Chapter 3: Understanding Quadrilaterals

This chapter is based on the different types of polygons and their properties. Any closed shape or curve does not make a polygon, but when closed curves are made of only line segments, they can be referred to as polygons. The polygon can have n number of sides, starting from a triangle with three sides. The sub-topics in this chapter are listed below:

3.1 Introduction

3.2 Polygons

• Classification of polygons
• Diagonals
• Convex and concave polygons
• Regular and irregular polygons
• Angle sum property

3.3 Sum of the Measures of the Exterior Angles of a Polygon

3.4 Kinds Of Quadrilaterals

• Trapezium
• Kite
• Parallelogram
• Elements of a parallelogram
• Angles of a parallelogram
• Diagonals of a parallelogram

3.5 Some Special Parallelograms

• Rhombus
• Rectangle
• Square

Download – NCERT Solutions for Class 8 Maths Chapter 3 PDF

Class 8 Maths Chapter 4: Practical Geometry

After constructing triangles in 7th Grade, here students will learn how to construct unique quadrilaterals when they are given lengths of sides, diagonals, angles, or other special properties. The sub-topics in this chapter are listed below:

4.1 Introduction

4.2 Constructing a Quadrilateral

• When the lengths of four sides and a diagonal are given
• When two diagonals and three sides are given
• When two adjacent sides and three angles are known
• When three sides and two included angles are given

4.3 Some Special Cases

Download – NCERT Solutions for Class 8 Maths Chapter 4 PDF

Class 8 Maths Chapter 5: Data Handling

When Cricket or Football is being played, a scoreboard is kept to record runs/goals, run rate, best scoring player, etc. These are called data points. When we have raw data such as kilometres driven, the number of marks in a subject, number of biscuits, etc., we can display such data graphically, which is easier to understand. In this chapter, students will learn about these aspects of data handling. The sub-topics in this chapter are listed below:

5.1 Looking For Information

5.2 Organising Data

5.3 Grouping Data

• Bars with a difference

5.4 Circle Graph or Pie Chart

5.5 Chance And Probability

• Getting a result
• Equally likely outcomes
• Linking chances to probability
• Outcomes as events
• Chance and probability related to real life

Download – NCERT Solutions for Class 8 Maths Chapter 5 PDF

Class 8 Maths Chapter 6: Squares And Square Roots

When a number is multiplied by itself once, such as 3×3, the product 9 can be considered as 3-squared (3²). Also, from a squared number such as 9 or 25, we can also find the square root of that number; for example, the square root of 25 is 5.
The sub-topics in this chapter are listed below:

6.1 Introduction

6.2 Properties of Square Numbers

6.3 Some More Interesting Patterns

6.4 Finding The Square Of A Number

• Other patterns in squares
• Pythagorean triplets

6.5 Square Roots

• Finding Square Roots
• Finding Square Roots Through Repeated Subtraction
• Finding Square Roots Through Prime Factorization
• Finding Square Roots By Division Method

6.6 Square Roots of Decimals

6.7 Estimating Square Root

Download – NCERT Solutions for Class 8 Maths Chapter 6 PDF

Class 8 Maths Chapter 7: Cubes And Cube Roots

After learning about squares and square roots, this chapter delves into cubes and cube roots. For instance, the cube of 3 (3³) is 3x3x3 = 27. And similarly, the cube root of 64 is 4 as 64 = 4x4x4. This chapter also explains how to find cube roots through factorisation. The sub-topics in this chapter are listed below:

7.1 Introduction

7.2 Cubes

• Some interesting patterns
• Smallest multiple that is a perfect cube

7.3 Cube Roots

• Cube roots through prime factorisation method
• Cube root of a cube number

Download – NCERT Solutions for Class 8 Maths Chapter 7 PDF

Class 8 Maths Chapter 8: Comparing Quantities

Mathematics is very useful in day-to-day life. While finding the discounted price of a product, while baking a cake, or finding the interest of a loan, etc., we need to know how to do these calculations to ensure we are not cheated financially. This chapter covers ratios and percentages, tax and interests, profit and loss, and other applications of these concepts. The sub-topics in this chapter are listed below:

8.1 Recalling Ratios And Percentages

8.2 Finding the Increase or Decrease Percentage

8.3 Finding Discounts

• Estimation in percentages

8.4 Prices Related To Buying And Selling (Profit And Loss)

• Finding cost price/selling price, profit /loss

8.5 Sales Tax/Value Added Tax

8.6 Compound Interest

8.7 Deducing a Formula for Compound Interest

8.8 Rate Compounded Annually or Half Yearly (Semi-Annually)

8.9 Applications Of Compound Interest Formula

Download – NCERT Solutions for Class 8 Maths Chapter 8 PDF

Class 8 Maths Chapter 9: Algebraic Expressions And Identities

In Algebra, solving equations is a very basic skill to be learned. In order to do that, it is important to learn about expressions, terms, factors, coefficients, variables, and other related terms. The sub-topics in this chapter are listed below:

9.1 What Are Expressions?

9.2 Terms, Factors, And Coefficients

9.3 Monomials, Binomials, And Polynomials

9.4 Like and Unlike Terms

9.5 Addition And Subtraction of Algebraic Expressions

9.6 Multiplication of Algebraic Expressions: Introduction

9.7 Multiplying a Monomial By a Monomial

• Multiplying two monomials
• Multiplying three or more monomials

9.8 Multiplying a Monomial By a Polynomial

• Multiplying a monomial by a binomial
• Multiplying a monomial by a trinomial

9.9 Multiplying A Polynomial By A Polynomial

• Multiplying a binomial by a binomial
• Multiplying a binomial by a trinomial

9.10 What Is An Identity?

9.11 Standard Identities

9.12 Applying Identities

Algebra Formulas for Class 8

Download – NCERT Solutions for Class 8 Maths Chapter 9 PDF

Class 8 Maths Chapter 10: Visualising Solid Shapes

This is an enjoyable and essential chapter. It is all about visualising shapes in things around us, such as bottles, boxes, houses, tv, etc., and matching them with shapes we have already learned, such as cylinders, circles, hexagons, etc. The chapter urges us to look at the world in a different way and helps us make sense of how the world is shaped.
The sub-topics in this chapter are listed below:

10.1 Introduction

10.2 Views of 3D-Shapes

10.3 Mapping Space Around Us

10.4 Faces, Edges, And Vertices

Download – NCERT Solutions for Class 8 Maths Chapter 10 PDF

Class 8 Maths Chapter 11: Mensuration

After learning to identify geometric shapes around us, in this chapter, we will learn how to measure the size and area of such geometric figures. The chapter includes the calculation of area and volume for trapezium, quadrilateral, polygons, cube, cuboid, etc., by learning formulas. The sub-topics in this chapter are listed below:

11.1 Introduction

11.2 Let Us Recall

11.3 Area of Trapezium

11.4 Area of a General Quadrilateral

• Area of special quadrilaterals

11.5 Area of a Polygon

11.6 Solid Shapes

11.7 Surface Area of Cube, Cuboid, and Cylinder

• Cuboid
• Cube
• Cylinder

11.8 Volume Of Cube, Cuboid, and Cylinder

• Cuboid
• Cube
• Cylinder

11.9 Volume and Capacity

Download – NCERT Solutions for Class 8 Maths Chapter 11 PDF

Class 8 Maths Chapter 12: Exponents And Powers

Coming back to Algebra, we learn about exponents. So, when we square a number (multiply it by the same number), we can denote it as 3². Here, 2 is the exponent. In this chapter, we will also learn how negative exponents and negative power values can be calculated. The sub-topics in this chapter are listed below:

12.1 Introduction

12.2 Powers With Negative Exponents

12.3 Laws Of Exponents

12.4 Use Of Exponents To Express Small Numbers In Standard Form

Download – NCERT Solutions for Class 8 Maths Chapter 12 PDF

Class 8 Maths Chapter 13: Direct and Inverse Proportions

When we go to a fruit stall to buy an apple, we check the price. If the price of an apple is 20 rupees, we have to pay 40 to buy 2 apples. The more apples we buy, the more money we pay. This indicates how the number of apples and price are directly related. At times, such values are inversely related. This chapter goes into practical problems of these types and shows us how we can solve them. The sub-topics in this chapter are listed below:

13.1 Introduction

13.2 Direct Proportion

13.3 Inverse Proportion

Download – NCERT Solutions for Class 8 Maths Chapter 13 PDF

Class 8 Maths Chapter 14: Factorisation

Every big number (other than a prime number) can be made up by multiplying smaller numbers. Such a number is called a composite number. In this chapter, we will learn how to determine the possible factors of a number. For example, 50 can be factorised as 5 x 5 x 2. We can factorise numbers till we reach prime factors, and this is known as prime factorisation. The sub-topics in this chapter are listed below:

14.1 Introduction

• Factors of natural numbers
• Factors of algebraic expressions

14.2 What Is Factorisation?

• Method of common factors
• Factorisation by regrouping terms
• Factorisation using identities
• Factors of the form (x+a) (x+b)

14.3 Division of Algebraic Expressions

• Division of a monomial by another monomial
• Division of a polynomial by a monomial

14.4 Division of Algebraic Expressions Continued (polynomial ÷ polynomial)

14.5 Can You Find The Error?

Download – NCERT Solutions for Class 8 Maths Chapter 14 PDF

Class 8 Maths Chapter 15: Introduction to Graphs

After Algebra, we go into statistics with graphs. So, in data handling, we learned about how numbers or multiple values can be shown visually through bars. Similarly, we will learn here how to show data through bar graphs, pie charts, histograms, etc., and also understand how to read important information from such graphs. The sub-topics in this chapter are listed below:

15.1 Introduction

• Bar Graph
• Pie Graph
• Histogram
• Line Graph

15.2 Linear Graphs

• Location of a point
• Coordinates

15.3 Some Applications

Download – NCERT Solutions for Class 8 Maths Chapter 15 PDF

Class 8 Maths Chapter 16: Playing with Numbers

In the final chapter, we will have fun with numbers. Through different games and challenges, we will learn how numbers work. Through different types of numbers, we will examine the divisibility of numbers as well. The sub-topics in this chapter are listed below:

16.1 Introduction

16.2 Numbers in General Form

16.3 Games with Numbers

16.4 Letters for Digits

16.5 Tests of Divisibility

• Divisibility by 10
• Divisibility by 5
• Divisibility by 2
• Divisibility by 9 and 3

Download – NCERT Solutions for Class 8 Maths Chapter 16 PDF

Attempt 8th CBSE Exam Mock Tests

8th Class Maths Textbook Answers

Nowadays, it is tedious for students to carry all their textbooks everywhere. The better alternative is to save a digital copy of their textbook on their computer/tablet/phone to be able to access it easily anytime they want. They can download the NCERT Class 8 Maths Book PDF on their preferred device and refer to it on their own time. Accessing it online on a website every time requires constant internet access. So, it is ideal for keeping a digital copy just in case.

To get Class 8 Maths NCERT Solutions, students can always refer to this article. They can download the solution in PDF format and save them on their device.

Some Important Questions on CBSE Class 8 Maths NCERT Solutions

In this section, students will find some important questions for Class 8 Maths. They can practice these questions to understand Class 8 maths NCERT papers.

Why Choose Embibe for Learning Chapter-wise Class 8 NCERT Maths Solutions?

Embibe provides detailed explanations of the CBSE Class 8 Maths problems for students who are planning to study for their Class 8 Mathematics exam. Here are some key benefits of referring to these solutions and questions for Class 8 with answers PDF by Embibe:

• Easy to Understand: While the topics can be complicated to explain, textbooks are designed to keep things brief and do not feature detailed explanations. However, experts at Embibe analyze the questions and explain them, particularly for students of Class 8.
• Best for CBSE Final Exams: Practising these questions will help students revise their NCERT Class 8 Maths book before their exams. Also, the expert solutions by Embibe are designed according to the CBSE marking scheme.
• Always Finish Assignments on Time: After any chapter gets completed in class, students might have to solve the exercise questions as an assignment. Expert solutions by Embibe ensure that their assignments are up to mark and on time.
• Covers All Basics: Expert solutions from Embibe are created after looking at the entire curriculum. So, all the basics and concepts from other chapters are covered and connected in the NCERT Class 8 Solutions for Maths.

These are some of the advantages of referring to these solutions. With the help of NCERT Maths question papers and sample papers, students will be able to understand different types of questions as well as the marking scheme. This will help them most in the final examination.

Students may sign up for Embibe and use it to more efficiently learn topics from the CBSE or NCERT syllabus for Class 8 Maths or any other class. They may learn about a wide range of topics from the comfort of their own homes by utilising the internet and browsing information on their devices. Moving on, students may personalise their learning experience and do it at their own speed without having to worry about missing deadlines or being stressed. We also provide the top subject experts or mentors to help students understand the subject and its principles in a more straightforward and enjoyable manner.

Clear Your Doubts on Embibe Ask an Expert

Students often encounter problems in topics that are not covered in the textbook or ones that they are unable to understand the concept even after reading it. If students are in such a situation, Embibe is here to help them. In our portal Ask an Expert, students can post any questions that trouble them. They will be answered by experts in detail so that they can understand everything perfectly before jumping to the next topic. If students have any queries or doubts regarding these Maths Solutions, they can always post their questions on Embibe Ask an Expert.

Learn and Practice on Embibe

At Embibe, students can practice questions and take mock tests for Maths and Science for free. Our academic experts have prepared the mock tests and questions in complete adherence to the latest CBSE curriculum, so students do not have to worry. Students can easily refer to these questions to prepare for their final examination. Students can follow the steps below to start practicing questions or taking tests:

• Students should visit the website of Embibe to have the best experience. They should log in to their accounts. If they are visiting the site for the first time, they should register themselves.
• Students need to select their goals at the time of registration. They should choose their board, for example, “CBSE” then “8th CBSE”, and click on “Done”.
• To practice questions for Class 8 CBSE, students should click on the “Practice” option at the top. If they want to take a mock test, they should click on the “Test” option.

• Select the subject as “Mathematics” to take the test/practice questions for Maths.
• Students should click on the chapter name for which they want to practice questions. Then click on “Practice“ to start practicing questions.
• If students want to take mock tests for any subject, they have the option to take chapter-wise tests or full subject tests. Click on any test link and then click on “Start Test” to start the test.

FAQs on NCERT Solutions for Class 8 Maths

Some of the frequently asked questions regarding NCERT Class 8 maths solutions are as under:

Q.1: What are the benefits of referring to NCERT Class 8 Maths Solution available online?
Ans: By referring to NCERT solutions online, students do not have to wait till their next class to ask their tutors. Also, they can refer to them anytime they want, even if they don’t have an internet connection.

Q.2: Why is it important to use these NCERT solutions?
Ans: The NCERT exercise questions cover almost all concepts within the chapters. Not all of them are simple in nature. The solutions help us understand more demanding questions that can be asked in an exam. That is why it is critical that students at least solve all the exercise questions.

Q.3: How can I easily learn formulas for CBSE Class 8 Maths?
Ans: Students can refer to this article containing important Maths Formulas for Class 8.

Q.4: What is the best way to memorise math formulas for Class 8?
Ans: The best approach is to understand the formulas first and practice them regularly. It would help if students also understood their derivations. Then it would be best if they started solving questions based on them. The more the students practice, the better they get at applying the formulas to solve questions.

Q.5: How many chapters are there in NCERT Maths Class 8 book?
Ans: There are a total of 16 chapters in the NCERT Maths textbook.

Q.6: How can these Math solutions help in preparation for the Olympiad exams?
Ans: Yes, these solutions will help students in preparing for their Olympiad exam as well. However, it is advised that they also practice Maths questions from some advanced books.

Q.7: How do I prepare for Class 8 Maths exams?
Ans: The best way for students to prepare for exams is to start with the chapter. First, students should assure that they have understood the topics and solved the exercises of all the chapters. While solving exercises, they should refer to expert solutions from Embibe for more clarity. After completing all exercises, they can attempt mock exams for Class 8 on Embibe.

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The NCERT Maths Class 8 Textbook Solutions provided here will get you easy access to all the chapters and their solutions. If you have any further queries please let us know in the comment section down below.

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