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Class 8 Exam  >  Class 8 Notes  >  NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths PDF Download

NCERT Solutions for Class 8 Maths

Here you will find all of the Chapters 1 through Chapter 16 NCERT Solutions for Class 8 Mathematical Exercises. Our knowledgeable faculty has selected these NCERT Solutions to aid students in their test preparation. In order to find a more effective way to approach the problems, students looking for the NCERT Solutions of Class 8 Maths can download all chapter-by-chapter PDFs.

NCERT Solutions for Class 8 MathematicsNCERT Solutions for Class 8 Mathematics

The best study materials available to students are without a doubt the answers to the questions found in the NCERT books. Additionally, these CBSE NCERT Solutions for Class 8 Math 2022–23 will aid students in developing a deeper comprehension of the ideas provided in the NCERT textbook. Students will be able to assess their level of preparation and concept mastery by practising the textbook questions.

Chapter Wise NCERT Solutions for Class 8 Maths

The chapter-wise solutions for Class 8 Maths cover all the topics in the textbook, including rational numbers, algebraic expressions and equations, practical geometry, square and square roots, cube and cube roots, data handling, and more. The solutions are presented in a step-by-step manner to help students understand the logic and reasoning behind each problem. Each chapter also includes solved examples and practice exercises to reinforce the concepts learned.

Chapter 1: Rational Numbers

Students will study real numbers and irrational numbers in Chapter 1 of Class 8. The Euclid's Division Lemma asserts that "Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0rb," which is the first statement in the chapter. This lemma serves as the foundation for the Euclid's Division procedure, which determines the HCF of two positive integers. The Fundamental Theorem of Arithmetic, which is used to determine the LCM and HCF of two positive integers, is then defined. Following that, the theorem is used to describe the concepts of an irrational number, a rational number, and the decimal expansion of rational numbers.

Chapter 1 of the topics covered in class 8 Maths After examining past work and after illuminating and inspiring through examples, the Real Numbers: Fundamental Theorem of Arithmetic asserts, Evidence for the irrationality of 2, 3, and 5.

Class 8 Maths NCERT Solutions Chapter 1 Exercises

Also, access the following resources for NCERT Class 8 Chapter 1 Rational Numbers, at EduRev:

Chapter 2: Linear Equations in One Variable

The definitions of the degree, linear, quadratic, and cubic polynomials are given at the beginning of the chapter on polynomials. There are a total of 4 exercises in this chapter, one of which is optional. Questions about calculating the number of zeros in a graph can be found in Exercise 2.1. Understanding the Geometrical Meaning of a Polynomial's Zeros is necessary. Students must locate the zeros of a quadratic polynomial in Exercise 2.2, which is based on the Relationship between Zeroes and Coefficients of a Polynomial. In some cases, they must also locate the quadratic polynomial. The division algorithm concept is defined in Exercise 2.3, where students can also find the questions that pertain to it. The questions in the optional exercise 2.4 are drawn from each of the Chapter 2 topics.

Topics Covered in Class 8 Maths Chapter 2 Linear Equations in One Variable :

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

Class 8 Maths NCERT Solutions Chapter 2 Exercises

Also, access the following resources for NCERT Class 8 Chapter 2 Linear Equations in One Variable, at EduRev:

Chapter 3: Understanding Quadrilaterals

In this chapter, students will learn how to determine the distance between any two locations whose coordinates are given, as well as how to determine the area of any triangle consisting of three given points. They will also learn how to find the coordinates of the point that divides a given line segment between two points in a particular ratio. Students will learn about the Area of a Triangle, Section Formula, and Distance Formula in this chapter on coordinate geometry.

Topics Covered in Class 8 Maths Chapter 3 Understanding Quadrilaterals:
Review of linear equation graphs and coordinate geometry concepts. Distance calculation. Formula for Section (internal division).

Class 8 Maths NCERT Solutions Chapter 3 Exercises

Also, access the following resources for NCERT Class 8 Chapter 3 Understanding Quadrilaterals , at EduRev:

Chapter 4: Practical Geometry

Practical Geometry is a concept that is explained in this chapter. There are a total of 7 tasks in this chapter, and they all involve solving a pair of linear equations using various strategies. How to represent a situation algebraically and graphically is explained in Exercise 3.1. Exercise 3.2 illustrates how to use the Graphical Method to solve the pair of linear equations. The Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method are each covered in Exercises 3.3, 3.4, 3.5, and 3.6, respectively. Activity 3.7, an optional exercise, with questions of every description. In order to acquire the technique for solving linear equations, students must practice these tasks.

Class 8 Maths NCERT Solutions Chapter 4 Exercises

Also, access the following resources for NCERT Class 8 Chapter 4 Practical Geometry, at EduRev:

Chapter 5: Data Handling

Class 8 Maths NCERT Solutions Chapter 5 Exercises

Also, access the following resources for NCERT Class 8 Chapter 5 Data Handling, at EduRev:

Chapter 6: Squares & Square Roots

Class 8 Maths NCERT Solutions Chapter 6 Exercises

Also, access the following resources for NCERT Class 8 Chapter 6 Squares & Square Roots, at EduRev:

Chapter 7: Cubes and Cube Roots

The figures with the same shape but different sizes are covered in Chapter 7 of the Class 8 CBSE Math textbook. A comparable and congruent figure is the starting point of the chapter Triangles. It goes on to explain the prerequisites for the resemblance of two triangles as well as associated theorems. Following that, a theorem was used to explain how identical triangles' areas may be calculated. The Pythagoras Theorem and its Converse are discussed at the conclusion of this chapter.

Topics Covered in Class 8 Maths Chapter 7 Cubes and Cube Roots:

Definitions, illustrations, and oppositional illustrations of related triangles.

  1. (Prove) The other two sides of a triangle are divided in the same ratio if a line parallel to one side of a triangle intersects the other two sides in clearly defined points.
  2. (Inspire) A line is parallel to the third side of a triangle if it divides the first two sides of the triangle in the same proportion.
  3. (Inspire) If the corresponding sides of two triangles are proportionate, the corresponding angles are equal, and the triangles are similar.
  4. (Inspire) Two triangles are comparable if their respective sides are proportionate, their corresponding angles are equal, and they have similar triangles.
  5. (Inspire) Two triangles are comparable if one of their angles is equal to another triangle's angle and the sides that include these angles are proportionate.

 Class 8 Maths NCERT Solutions Chapter 7 Exercises

Also, access the following resources for NCERT Class 8 Chapter 7 Cubes & Cubes Roots, at EduRev:

Chapter 8: Comparing Quantities

Class 8 Maths NCERT Solutions Chapter 8 Exercises

Also, access the following resources for NCERT Class 8 Chapter 8 Comparing Quantities , at EduRev:

Chapter 9: Algebraic Expressions & Identities

Students have learned about circles and other concepts associated with them, such as chord, segment, arc, etc., in prior classes. Students will learn about the various circumstances that can occur when a circle and a line are presented in a plane in this chapter. The concepts of Tangent to a Circle and Number of Tangents from a Point on a Circle will thus be fully understood by them.

Topics Covered in Class 8 Maths Chapter 9 Algebraic Expressions & Identities:
At the point of contact, tangent to a circle

  1. Establish that the radius across the point of contact is perpendicular to the tangent at any point on a circle.
  2. (Show) Tangents drawn from an outside point to a circle have identical lengths.

 Class 8 Maths NCERT Solutions Chapter 9 Exercises

Also, access the following resources for NCERT Class 8 Chapter 9 Area of Parallelograms & Triangles at EduRev: 

Chapter 10: Visualising Solid Shapes

Students have learned about circles and other concepts associated with them, such as chord, segment, arc, etc., in prior classes. Students will learn about the various circumstances that can occur when a circle and a line are presented in a plane in this chapter. The concepts of Tangent to a Circle and Number of Tangents from a Point on a Circle will thus be fully understood by them.

Topics Covered in Class 8 Maths Chapter 10 Visualising Solid Shapes:
At the point of contact, tangent to a circle

  1. Establish that the radius across the point of contact is perpendicular to the tangent at any point on a circle.
  2. (Show) Tangents drawn from an outside point to a circle have identical lengths.

 Class 8 Maths NCERT Solutions Chapter 10 Exercises

Also, access the following resources for NCERT Class 8 Chapter 10 Circles at EduRev: 

Chapter 11: Mensuration

This chapter consists of a total of 2 exercises. Whatever students have learned about construction in earlier classes will also help them. In Exercise 11.1, students will study how to divide a line segment, whereas in Exercise 11.2, they will study the construction of tangents to a circle. Methods and steps for construction are explained, and also some examples are additionally given to make it clearer to the students.

Topics Covered in Class 8 Maths Chapter 11 Mensuration:

  1. Division of a line segment in a given ratio (internally).
  2. Tangent to a circle from a point outside it.
  3. Construction of a triangle similar to a given triangle.

 Class 8 Maths NCERT Solutions Chapter 11 Exercises

Also, access the following resources for NCERT Class 8 Chapter 11 Mensuration, at EduRev:

Chapter 12: Exponents and Powers

Class 8 Maths NCERT Solutions Chapter 12 Exercises

Also, access the following resources for NCERT Class 8 Chapter 12 Exponents and Powers, at EduRev:

Chapter 13: Direct and Inverse Proportions

In Chapter 13, there are a total of 5 exercises. The first exercise consists of questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e. cuboid, cone, cylinder, sphere and hemisphere. In exercise 13.2, questions are based on finding the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere. Exercise 13.3 deals with the questions in which a solid is converted from one shape to another. Exercise 13.4 is based on finding the volume, curved surface area and total surface area of a frustum of a cone. The last exercise is optional and has high-level questions based on all the topics of this chapter.

Topics Covered in Class 8 Maths Chapter 13 Direct and Inverse Proportions:
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

Class 8 Maths NCERT Solutions Chapter 13 Exercises

Also, access the following resources for NCERT Class 8 Chapter 13 Direct and Inverse Proportions, at EduRev: 

Chapter 14: Factorisation

Students will learn how to find the Mean, Mode, and Median and how to numerically depict ungrouped and grouped data. Additionally, the definition of cumulative frequency, its distribution, and how to create its curves will be covered.

Topics Covered in Class 8 Maths Chapter 14 Factorisation:
Mean, median and mode of grouped data (bimodal situation to be avoided).

Class 8 Maths NCERT Solutions Chapter 14 Exercises

Also, access the following resources for NCERT Class 8 Chapter 14 Factorisation, at EduRev: 

Chapter 15: Introduction to Graphs

The final chapter covers probability. The theoretical approach to probability is where the chapter begins. The chapter then goes on to discuss the distinction between theoretical and experimental probability. It is effectively explained through a variety of instances. Students must complete the CBSE Math examples before moving on to the exercise problems.

Topics Covered in Class 8 Maths Chapter 15 Introduction to Graphs:
Classical definition of probability. Simple problems on finding the probability of an event.

Class 8 Maths NCERT Solutions Chapter 15 Exercises

Also, access the following resources for NCERT Class 8 Chapter 15 Introduction to Graphs, at EduRev: 

Students can also access NCERT Solutions of all subjects of Class 8:

How are CBSE Class 8 Maths Solutions of NCERT Helpful for the Exams?

CBSE Class 8 Maths is an important subject for students. Here, we have provided complete assistance to students for their preparation. Class 8 is the first benchmark for any student that will reflect in the future records of achievement. CBSE always prescribes the NCERT books for exam preparation.

Exam preparation is a demanding procedure that necessitates a comprehensive comprehension of each chapter. This technique necessitates diligent study efforts and a strategic method for working through the solutions. NCERT 8 Class Maths Solutions play a significant part in preparing students for competitive entrance exams. NCERT books are renowned for presenting the concepts in a straightforward manner for easier understanding. The Maths textbooks for Class 8 from NCERT are written in a way that makes complicated problems easy to understand and break down.

Keep visiting to get complete chapter-wise  NCERT Solutions for Class 8  for all the classes. Students can also find the NCERT Solutions for Class 8 Science, Social Science, English, Hindi and Sanskrit at EduRev. Students can download EduRev App to get a personalized learning experience and prepare for the exams more effectively.

Importance of NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths are important because they provide comprehensive solutions to the questions and exercises given in the NCERT textbooks. Here are some of the reasons why NCERT Solutions for Class 8 Maths are important:

  • Covers the entire syllabus: NCERT Solutions for Class 8 Maths cover the entire syllabus prescribed by the NCERT, which makes them a comprehensive resource for students preparing for their exams.
  • Provides clarity: The solutions provided in NCERT Solutions for Class 8 Maths are written in a clear and concise manner, making it easy for students to understand and grasp the concepts.
  • Helps in exam preparation: NCERT Solutions for Class 8 Maths can help students prepare for exams by providing them with practice questions and answers. This can help them build confidence and reduce exam anxiety.
  • Improves problem-solving skills: The solutions provided in NCERT Solutions for Class 8 Maths can help students improve their problem-solving skills by showing them how to approach different types of questions.
  • Enhances understanding: NCERT Solutions for Class 8 Maths can enhance a student's understanding of the subject matter by providing them with detailed explanations and examples.
  • Saves time: NCERT Solutions for Class 8 Maths can save students time by providing them with quick and accurate answers to their questions. This can help them focus on other aspects of their studies.

In conclusion, NCERT Solutions for Class 8 Maths are an important resource for students as they provide comprehensive solutions to the questions and exercises given in the NCERT textbooks. They can help students prepare for exams, improve problem-solving skills, and enhance their understanding of the subject matter.

Benefits of EduRev’s NCERT Maths Solutions for Class 8 

The Class 8 NCERT Solutions of Maths given here have several benefits, which include:

  • The solutions given here are very easy-to-understand.
  • Solutions are provided in steps for better understanding.
  • Diagrams are given to help the students to visualize the solutions.
  • All the questions from each chapter are covered.

It is advised that students prepare all of the chapters covered in the solution modules because doing so will allow them to understand concepts more thoroughly. The steps offered in the solutions must be understood by the students in order to make good preparations.

Students can also access NCERT Solutions of all subjects of Class 8:

Frequently Asked Questions (FAQs) on NCERT Solutions for Class 8 Maths

How to grasp the important concepts covered in the NCERT Solutions for Class 8 Maths?

Students who aspire to score good marks in the Class 8 exams are advised to study the NCERT Solutions from the EduRev App. The solutions are curated with utmost care by a set of faculty having vast experience in the respective subject. Each and every minute detail is explained in an interactive manner to make it easier for the students while learning. The step-wise solutions are designed by keeping in mind the marks weightage allotted as per the CBSE guidelines.

Will the NCERT Solutions for Class 8 Maths help me to solve problems easily?

The Class 8 exam is one of the major turning points in the life of students. Maths is a subject which mainly contains numericals, and understanding of concepts helps to score more marks. Students are recommended to first understand the syllabus for the academic year and learn the concepts based on them for better performance. Solving the textbook problems by referring to the solutions will improve the logical thinking and analytical skills among students.

Where will I get the NCERT Solutions for Class 8 Maths?

Students can get the NCERT Solutions for Class 8 Maths at the EduRev App. The solutions are prepared by the subject matter experts keeping in mind the understanding capacity of students. The main objective of creating solutions is to help students learn complex concepts without any difficulty. Students can also cross-check their answers while solving the textbook problems to get an idea about the other methods of answering the questions efficiently.

Are the NCERT Solutions for Class 8 Maths useful for the students under the CBSE board?

Given below are some of the uses of the NCERT Maths Solutions for Class 8 –

1. It builds a strong foundation of fundamental concepts and improves confidence to face exams.

2. The method of solving complex problems can be learnt easily.

3. It is a perfect study material for the students to finish their assignments on time and to score more marks in the exams.

How to get an idea about the important concepts in the NCERT Solutions for Class 8 Maths?

Before the start of an academic year, students should download the CBSE syllabus and go through it for a clear idea about the concepts which are important for the exams. Students must solve the NCERT Textbook problems by choosing the correct study material which satisfies their needs. Practising the problems on a regular basis by referring to the NCERT Solutions for Class 8 Maths improves the problem-solving abilities of students.

The document NCERT Solutions for Class 8 Maths is a part of Class 8 category.
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Nov 21, 2024 Last updated
Document Description: NCERT Solutions for Class 8 Maths for Class 8 2024 is part of Class 8 preparation. The notes and questions for NCERT Solutions for Class 8 Maths have been prepared according to the Class 8 exam syllabus. Information about NCERT Solutions for Class 8 Maths covers topics like NCERT Solutions for Class 8 Maths, Chapter Wise NCERT Solutions for Class 8 Maths, How are CBSE Class 8 Maths Solutions of NCERT Helpful for the Exams?, Importance of NCERT Solutions for Class 8 Maths, Benefits of EduRev’s NCERT Maths Solutions for Class 8 , Important Related Links for CBSE Class 8 Maths, Frequently Asked Questions (FAQs) on NCERT Solutions for Class 8 Maths and NCERT Solutions for Class 8 Maths Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions for Class 8 Maths.
Introduction of NCERT Solutions for Class 8 Maths in English is available as part of our Class 8 preparation & NCERT Solutions for Class 8 Maths in Hindi for Class 8 courses. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free. Class 8: NCERT Solutions for Class 8 Maths
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Additional Information about NCERT Solutions for Class 8 Maths for Class 8 Preparation

NCERT Solutions for Class 8 Maths Free PDF Download

The NCERT Solutions for Class 8 Maths is an invaluable resource that delves deep into the core of the Class 8 exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the NCERT Solutions for Class 8 Maths now and kickstart your journey towards success in the Class 8 exam.

Importance of NCERT Solutions for Class 8 Maths

The importance of NCERT Solutions for Class 8 Maths cannot be overstated, especially for Class 8 aspirants. This document holds the key to success in the Class 8 exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

NCERT Solutions for Class 8 Maths Notes

NCERT Solutions for Class 8 Maths Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to NCERT Solutions for Class 8 Maths. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, NCERT Solutions for Class 8 Maths Notes on EduRev are your ultimate resource for success.

NCERT Solutions for Class 8 Maths Class 8 Questions

The "NCERT Solutions for Class 8 Maths Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the Class 8 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study NCERT Solutions for Class 8 Maths on the App

Students of Class 8 can study NCERT Solutions for Class 8 Maths alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the NCERT Solutions for Class 8 Maths, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of NCERT Solutions for Class 8 Maths is prepared as per the latest Class 8 syllabus.
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