# NCERT Class 8 Maths Book PDF

**CBSE Class 8 NCERT Maths Books Free Download**

Reading books can improve students’ cognitive and reasoning skills. The **NCERT books** have been written to help the students maintain this cognitive development over a period of time. For this reason, teachers recommend NCERT books for Class 8, as doing so assists in strengthening the foundation that a child already possesses.

The PDF version of the NCERT Maths book for Class 8 is organised to encourage students to form the habit of regular practice. Students in the science department looking for NCERT Solutions for Class 8 Science will also find the solutions our in-house subject experts have handpicked to be beneficial. Each chapter provides a comprehensive analysis of the topic at hand, illuminating key points with illustrative examples to aid in comprehension.

The **CBSE** Solutions NCERT books for Class 8 will prepare you for both the internal and external examinations by following the most recent syllabus for that subject. The book is divided into 16 chapters, each with detailed explanations for the reader’s convenience. In addition, the equations and their solutions are provided in the NCERT Maths Class 8 PDF in a way that explains each step in sequential order. At the same time, one can get these books for free from the internet.

**NCERT Class 8 Maths Book PDF Free Download**

Class | 8 |

Board | CBSE |

Book | NCERT |

Subject | Maths |

Medium | English / Hindi |

Study Materials | Free Study Materials are Available |

PDF Solutions | Available in PDF File |

Part 1 | NCERT Maths Books Class 8 PDF Download |

**NCERT Class 8 Maths Book PDF**

The seemingly endless series of equations and questions can strike fear into the minds of many students. Learners can conquer this phobia, thanks to the clear and concise explanations provided in the NCERT books for Class 8.

In addition, since the NCERT Maths book for Class 8 follows the structure established by the CBSE, it is suitable for use in general and competitive examinations. Students are forced to form the habit of regular practice due to the detailed explanations and exercises.

The logic behind the equation is explained in the textbooks NCERT provides for Class 8 Mathematics.

For students whose first language is not English, we will make available, in PDF format, each Mathematics chapter from the NCERT textbook written in Hindi. This will ensure that native speakers are not disadvantaged and that all people will have access to an education of the same standard. The following list contains all of the necessary links:

**चैप्टर 1: परिमेय संख्याएँ****चैप्टर 2: एक चर वाले रैखिक समीकरण****चैप्टर 3: चतुर्भुजों को समझना****चैप्टर 4: प्रायोगिक ज्यामिती****चैप्टर 5: आँकड़ो का प्रबंधन****चैप्टर 6: वर्ग और वर्गमूल****चैप्टर 7: घन और घनमूल****चैप्टर 8: राशियों की तुलना****चैप्टर 9: बीजीय व्यंजक एवं सर्वसमिकाएँ****चैप्टर 10: ठोस आकारों का चित्रण****चैप्टर 11: क्षेत्रमिति****चैप्टर 12: घातांक और घात****चैप्टर 13: सीधा और प्रतिलोम समानुपात****चैप्टर 14: गुणनखंडन****चैप्टर 15: आलेखों से परिचय****चैप्टर 16: संख्याओं के साथ खेलना**

**Chapter-Wise Overview of Class 8 Maths**

**Chapter 1: Rational Numbers**

The idea of Rational Numbers is presented for the first time in the book’s very first chapter. It illustrates that a Rational Number is any number that can be written as the result of the division of two integers. Students become familiar with the distinction between positive and negative integers, which is an essential building block for understanding how to equate integers with natural numbers.

This Mathematics textbook for Class 8 provides a more in-depth explanation of the closure features and commutativity and associativity of rational numbers, whole numbers, and integers. In addition to this, the students are given the opportunity to understand the function that 0 and 1 play in the equation of Rational Numbers.

Also, an in-depth explanation is provided for the ideas of a negative number, reciprocal, distributive of multiplication and addition, number line, and distributive of a rational number. The student will have their questions answered through the presentation of these ideas along with examples.

**Chapter 2: Linear Equations In One Variable**

The concept of linear equations with one variable is elaborated upon in further detail in the following chapter. It discusses the equations and formulae that are necessary for solving linear equations and the variables involved in them. This chapter will teach how to solve linear equations with numbers on one side and linear equations on the other, as well as linear equations with numbers on the same side.

The PDF version of the NCERT Maths book for Class 8 provides additional information regarding the equations that can be simplified to direct form. However, to solve the equations, it is necessary first to simplify the expressions that form them.

In addition, this chapter discusses the various applications of linear equations, including how they can be used to solve problems involving age, numbers, perimeter, currency, and other topics.

**Chapter 3: Understanding Quadrilaterals**

The idea of quadrilaterals is provided for the reader in the third chapter of the PDF version of the Class 8 NCERT Mathematics book. Students will study polygons, which are classified according to the vertices as a triangle, quadrilaterals, pentagons, hexagons, octagons, and so on. They will learn about polygons by continuing to read.

In addition, an explanation is provided for diagonals that connect two vertices that are not consecutive to one another. This book provides information on several sorts of polygons, such as convex and concave polygons and regular and irregular polygons.

In addition to the explanation, this chapter provides students with some background information on the angle sum property and the sum used to measure the exterior angles of polygons. In addition to that, it discusses parallelograms, including their diagonals, angle sums, elements, and unusual parallelograms.

**Chapter 4: Practical Geometry**

Beginning with the formation of quadrilaterals, the fundamentals of geometry are discussed in the book’s fourth chapter. The procedure for creating quadrilaterals when the lengths of four sides and the diagonal are supplied is covered in this chapter of the NCERT Class 8 Mathematics textbook.

- The length of four sides and diagonal is given.
- Two diagonals and three sides are given.
- Two adjacent sides and three angles are known.
- Three sides and two included angles are given.

The students are going to learn about rhombuses, rectangles, and squares, which are all different quadrilaterals. In addition, the method for solving the particular circumstances that arise when five measurements are taken to form a quadrilateral is shown and explained in this chapter.

**Chapter 5: Data handling**

Learners are instructed on the various data processing methods in the fifth Chapter of the NCERT book for Class 8 Maths, which is available in PDF format. According to the discussion, unorganised information is referred to as raw data, and to have meaningful interaction, it is necessary to organise the raw data.

Students are allowed to understand both the method of finding a frequency and the process of group frequency distribution. In addition, the chapter demonstrates the many methods for presenting the data, such as the use of bar charts and pie charts. The data are displayed using a bar histogram, with the class intervals along the horizontal axis and the frequency measurements along the vertical axis.

Students will also understand the principles of probability that govern random experiments and the results they produce. At the same time, the creation of an event is contingent on there being a greater occurrence of analysis.

**Chapter 6: Square and Square Roots**

The idea of squares and square roots are detailed in the sixth chapter of the PDF textbook for Class 8 Mathematics from NCERT. Numbers such as 1, 4, 9, and 16 are examples of square numbers. A square number is defined as a number that can be written as the product of the number itself.

As they progress through the material, students understand the characteristics of square numbers and several procedures for adding the numbers. It is possible to arrive at a square number by adding together triangular numbers, odd numbers, and even natural numbers that are odd.

The section of this book devoted to Square Root educates readers about the Pythagorean theorem and the Pythagorean triplets. In addition to this, the steps involved in determining the square root of a number via repeated subtraction, prime factorisation, division, and decimals are given. .

**Chapter 7: Cube and Cube Roots**

The fundamentals of locating square roots were covered in the previous chapter, and the seventh chapter will demonstrate how to solve issues involving cube roots. students learn to multiply numbers by themselves three times as part of the Class 8 Maths NCERT PDF syllabus.

Students will learn that perfect cubes can be created by putting together successive odd numbers and the prime factors of those numbers. They will also find out that the process of discovering the roots of a cube is analogous to doing an operation in reverse.

In addition, the text explains the procedure of prime factorisation, which is one method that can be used to get the cube root of a number.

**Chapter 8: Comparing Quantities**

Finding amounts is covered in a significant amount of depth in the eighth chapter of the NCERT 8 Maths book, making it one of the most important chapters in the book. This chapter assists in the development of students’ ability to calculate large numbers by introducing them to the concepts of ratio and percentage.

In addition to that, they are instructed on how to calculate the rise and fall of percentages as well as discounts. In addition to this, the students are taught the fundamentals of discovering profit and loss, cost price, selling price, calculating tax and interest, and finding the difference between the two.

Students will also learn the additional formulae to calculate compound interest and compound annual rates with the assistance of this book for Class 8 students.

**Chapter 9: Algebraic Expressions and Quantities**

Mathematical expressions are discussed in the ninth chapter of the NCERT textbook for students in Class 8, which is devoted to teaching students how to create expressions consisting of terms, products of factors, and numerical coefficients.

In the NCERT book, the several types of expressions that can be monomials, binomials, and polynomials are all spelt out. In addition, the chapter explains in a step-by-step fashion how to multiply a monomial by a binomial and a trinomial and how to multiply a monomial by two or more monomials.

Even the operation of multiplying polynomials by other polynomials is discussed in this subject matter. Students are also taught about identities and the various ways in which they can be applied in the sum.

**Chapter 10: Visualising Solid Shapes**

The ideas of geometry are presented to the students in the NCERT Class 8 Maths book in English by having them visualise solid shapes. This gives them their first exposure to the subject. The reader is instructed on the distinction between two-dimensional and three-dimensional shapes and the steps involved in mapping the area surrounding such shapes. This information is presented in the eleventh chapter of the book.

Additionally, it teaches concepts such as edges, faces, and vertices, in addition to the different varieties of polyhedrons. Euler’s formula is taught to the class. It can be written as the Number of faces (F) added with the Number of vertices (V) minus the Number of edges (E) (E).

The illustrative and graphic representation of the issue makes it easier for students to understand and makes it more interesting to learn. .

**Chapter 11: Mensuration**

The study of measuring things like length, volume, shape, and lateral surface areas is covered in Mathematics known as mensuration. The students in Class 8 learn how to calculate the area and perimeter of various surfaces using the NCERT Mathematics book for Class 8.

The area of a trapezium, a general quadrilateral, and a unique quadrilateral is something that students learn to calculate. In addition to that, the chapter details the process of calculating the surface area of three-dimensional structures such as cuboids, cylinders, cubes, cones, and pyramids.

Students will also learn how to calculate the volume and capacity of various forms throughout this chapter.

**Chapter 12: Exponents and Power**

Exponents are smaller numbers written above the number that serves as the base to indicate the number of times the base is multiplied. The idea of power and its exponents delves into finer points in the twelfth chapter of the PDF textbook for Class 8 Mathematics offered by NCERT.

The youngsters will understand the rules that govern using a positive and negative exponent. As the students continue to read the chapter, they will discover how to employ negative exponents when expressing numbers with little digits.

In addition, the students will be able to understand the many methods of contrasting and working with small and large numbers. The student will be able to answer algebraic issues in the future once they can complete this chapter.

**Chapter 13: Direct and Inverse Proportion**

In the thirteenth chapter, one can get a comprehensive explanation of the concepts of the direct and inverse proportion of numbers. According to a concise explanation in the text, direct proportion holds that whenever one number decreases, another number also decreases.

They also learn about the inverse proportion, which is when one number increases, then the other number decreases, and vice versa. This happens when one number is multiplied by another number. The students are instructed on using these proportions correctly and expected to understand this topic. .

The direct and inverse proportions chapter explains the procedures and includes several examples to illustrate those steps. Learners will clearly understand the ideas, applications, and functions of proportional numbers after learning the concepts carefully, they can answer any advanced level questions.

**Chapter 14: Factorisation**

PDF of class 8’s fourteenth and final chapter. The terms “factorisation” and “factors” are defined in the NCERT Maths book. It discusses the factors of natural numbers and the expressions used in algebra.

In addition, there is information on the inner workings of factorisation and the procedures for resolving common factors. This section covers how to divide monomials, polynomials, and algebraic expressions, as well as the method of factorisation that uses identity and regrouping.

Students are exposed to the idea of regrouping as well as its use in the process of solving equations. In addition, adhering to factorisation procedures makes it possible to locate the critical flaws present in an equation with relative ease.

**Chapter 15: Introduction to Graphs**

The readers of the NCERT Maths book for Class 8 are introduced to the realm of graphs and data in the chapter that is the book’s penultimate chapter. The process of drawing bars, graphs, pie charts, and histograms is demonstrated to the students in the class.

In addition, students are instructed on how to design line graphs and the various applications of line graphs in various industries. Even the process of generating linear graphs, determining the location of a point, and the significance of x and y coordinates are explained in great detail in this book.

Students can learn the distinction between an independent variable and a dependent variable, which may then be applied when preparing graphs.

**Chapter 16: Playing With Numbers**

Students will learn the concept of factorisation after reading Chapter 14. This section of the NCERT Mathematics book for Class 8 teaches the fundamentals of numbers and their applications. It describes how to reverse numbers of two digits and three digits.

In addition to this, it demonstrates how three-digit numbers can be created from three-digit ones and how letters can be substituted for numbers in an equation. The idea of locating the missing numbers is broken down into a series of engaging games and questions that are included in the material.

In addition, the test of divisibility for numbers such as 10, 9, 5, 3, and 2 is explained in detail..

**Why Do Teachers Refer to NCERT Class 8 Maths NCERT Book**

Ans: The National Council of Educational Research and Training (NCERT) textbooks are widely regarded as the first choice among educators for exam preparation due to their comprehensive coverage of the subject matter. Its solutions are helpful for students studying for the CBSE, and those studying for competitive examinations, which have contributed to the site’s widespread popularity.

Maths is a difficult subject that requires consistent study and reflection to be understood. Therefore, for the reader to succeed in his or her exam, the Mathematics book provides an in-depth and step-by-step explanation of the many concepts and theories.

The fact that the Class 8 NCERT Maths PDF book is considered the most effective answer may be attributed to many different factors. Some of them are given below:

- The NCERT book discusses various subjects connected to equations and the logic of solving them. The youngsters will acquire an in-depth understanding of Rational Numbers, factorisation, exponents, Square Roots, cube Roots, and a great deal of additional information. The foundation that students have is strengthened throughout these chapters, which may come in handy in future.

It is a fact that each and every student requires literature written in a way that clarifies their ideas on difficult subjects. This is a universal truth. Therefore, teachers will often refer to their students as the most effective option that is now accessible, which will be NCERT books. Students can quickly download the Class 8 Maths PDF and get their questions answered. Subject matter experts and education professionals highly recommend this NCERT as an excellent resource.

- Because of the straightforward nature of the NCERT book, the vast majority of educators have stated their preference for using it in the classroom. Each child will be able to understand the concept behind the equations after reading the extensive explanations provided in the chapters of the Class 8 Mathematics PDF. Aspirants who are taking the CBSE Exam can improve their knowledge of the material by working through the exercises and questions at the end of each chapter.
- Following each chapter in the book is a set of questions that were created specifically for students to use as practice. Maths is a discipline that requires consistent study and an in-depth understanding. Students can best prepare themselves for exams by using multiple-choice questions to self-evaluate. In addition, there are activities designed specifically to help students develop their thinking abilities and capacity for problem-solving.
- Each individual chapter that is included in the NCERT books Class 8 Maths book PDF was compiled by academics who excelled in their respective fields of research. It elevates the value of the subject matter to a level that cannot be matched by anything else. The fact that students taking exams from boards other than CBSE can use this book further contributes to the NCERT books as exceptional. .

**How Should Students Prepare With The NCERT Maths Class 8 Textbook PDF?**

Ans: We have previously discussed why educators like the NCERT textbooks for their students. In the next section, we will investigate how students can improve their level of readiness by utilising the NCERT Maths textbook.

- Learning through rote memorisation is a thing of the past. Now, for students to be successful in a dynamic world like ours, they need to make an effort to understand the many different ideas that they are being taught. If you don’t just memorise the material that’s given to you but instead try to derive the
**formulas**on your own, you’ll find that your performance will improve gradually. - The NCERT Mathematics textbook provides a significant amount of information in the form of Data. You need to distinguish between the aspects of the examination that are significant and those that are not significant. Taking your own personal notes is the most effective method for accomplishing this goal. Mark the paragraph that stands out to you as particularly fascinating with a highlighter, then take notes based on that.
- The NCERT Maths textbook includes a sufficient quantity of problems, which can be found here. At the end of each section, there will be a set of exercises. A learner can use this to evaluate how well their topics are grasped and then adjust their practice accordingly. In addition to this, special activities have also been offered at the end of each chapter to ensure that students are comprehensive in their understanding of the topics and do not falter anywhere in the process. You should get as much practice as you can. The more you practice, the better you will get.This will simultaneously boost your efficiency and your ability to manage your time effectively.

**Why is Extramarks Emerging as One of the Best E-learning Platforms?**

Ans: Students can have live interaction and study sessions with the subject experts on Extramarks, and they may do so at any time and anywhere irrespective of the place. This is one of the reasons why Extramarks is the most popular website. In addition, the exam notes and study materials we supply are of the best possible quality and standard.

There are a great number of online E-learning sites available at this time; however, unlike Extramarks, none of them provides a collection of answers for each and every topic. Extramarks, one of the leading educational platforms that has been instrumental in heading the premier service which has been developed specifically to meet the needs of students, is almost ready for download.

Simply using our website or installing the Extramarks app will get you on your way to achieving your goals quickly and without any hassle. . To speed up your learning and improve your academic performance, students must register themselves now, to begin their preparation without any further delay. Step forward and discover the path that leads to success.

## NCERT Solutions for Class 8 Maths - Chapterwise PDF

## NCERT Solutions for Class 8

## FAQs (Frequently Asked Questions)

### 1. How Does the PDF Version of the NCERT Book for Class 8 Maths Help Students Understand Maths?

The NCERT textbook for Class 8 Maths uses straightforward and easy-to-understand language to convey the key ideas, allowing students to grasp them and move on easily. In addition, important formulas and examples are pointed out to students to help them understand the reasoning that lies behind each equation. The purpose of the questions at the end of each chapter is to help students develop their critical thinking skills. The primary objective of the textbook is to provide students with the knowledge necessary to understand the ideas that will be presented to them in more advanced classes. The NCERT textbook for Class 8 Maths helps students clarify the fundamental concepts and helps them to achieve excellent grades.

### 2. What topics are included in the NCERT Maths Book for Class 8 PDF?

There are a total of sixteen chapters in the NCERT Mathematics book. Each of the chapters covers a unique set of topics, such as graphs, direct and inverse proportion, rational numbers, data collection, algebra, forms, and a variety of others. At the end of each chapter, you will find some exercises, questions for practice, and a summary of the chapter’s topics. Students typically have difficulty grasping the concept of mensuration. Still, if they receive proper instruction from subject experts at Extramarks, they will also be able to succeed in this area. Due to a significant number of questions drawn from the Algebra section of the book, the chapters that fall under this area ought to be studied with the utmost focus and make sure to practice all the in-text and chapter end questions.