NCERT Solutions for Class 8 Maths in Hindi and English Medium Updated for academic session 2024-25 exams. We provides easy to understand class 8 Maths Solutions at Tiwari Academy in PDF and videos.

Chapter 1. Rational Numbers
Chapter 2. Linear Equations in one Variable
Chapter 3. Understanding Quadrilaterals
Chapter 4. Data Handling
Chapter 5. Square and Square Roots
Chapter 6. Cube and Cube Roots
Chapter 7. Comparing Quantities
Chapter 8. Algebraic Expressions and Identities
Chapter 9. Mensuration
Chapter 10. Exponents and Powers
Chapter 11. Direct and Inverse Proportions
Chapter 12. Factorization
Chapter 13. Introduction to Graphs
The NCERT Solutions Class 8 Maths include answers to all the questions, even the extra Try These ones. The book has only 13 chapters and the solutions for all the exercises are provided here.

NCERT Solutions for Class 8 Maths in Hindi and English Medium

Class 8 Maths solutions are created to assist students in easily understanding and solving the exercises and problems from the NCERT Class 8 Mathematics textbook. These solutions help students improve their problem-solving skills and excel in their exams. Rate and Review these solutions for further improvement.
Class 8 NCERT solutions App Download
Class 8 is a crucial year in mathematics education, and NCERT solutions are widely used by students and teachers in Bharat to prepare for class 8 mathematics exams and build a strong foundation in mathematics.


How to perform well in 8th Maths
The effectiveness of educational resources like Class 8 NCERT Solutions at Tiwari Academy may differ based on each student’s learning style and needs. It’s essential for students to explore various resources available on the website or app to find what works best for them.

NCERT Solutions for Class 8 Maths in Hindi and English

Class: 8Mathematics (CBSE NCERT Textbook)
Number of Chapters:13 – Thirteen (As per new Syllabus)
Contents:Chapter Wise NCERT Solutions
Content Type:PDF, Text, Images and Videos format
Session:Academic Year 2024-25
Medium:English Medium, Hindi Medium

Etymology and Evolution of Mathematical Terms
The term “mathematics” comes from the Ancient Greek “máthēma,” meaning “that which is learnt” or “study.” Its meaning evolved over time, and by the 17th century, it began to acquire its current meaning. Interestingly, the term “mathematics” in English was once more commonly associated with astrology rather than the study of numbers and shapes.

Class 8 Maths Solution

With the help of Class VIII Maths NCERT solution, students can understand the concepts better and score good marks in their exams. Get NCERT Solutions for class 8 Maths in PDF file format Hindi medium as well as English medium to download. All the solutions are updated for the academic session 2024-25 based on the latest NCERT Books.

Best way to prepare Class 8 Maths for Exams
Create a regular study schedule, dedicating specific times each day for Maths. This builds a strong understanding of basic concepts, making it easier to tackle more difficult topics. Use your textbooks, especially NCERT, as your main study resource, as they provide detailed explanations and plenty of practice problems. Break the syllabus into smaller, manageable parts for focused study sessions.
It’s important to balance study with relaxation. Take regular breaks and do activities you enjoy, like sports, music, or hobbies, to keep your mind fresh. Stay positive about learning and believe in your ability to improve. Regular quizzes or timed practice can help you track your progress. With steady effort, a good understanding of Maths concepts and smart time management, you can do well in Class 8 Maths.

Class 8 Maths NCERT Solutions & Main Points of All Chapters

Chapter 1: Rational Numbers

Class 8 Maths Chapter 1 is based on Rations Numbers, which is the collection of Integers, Natural Numbers, Whole Numbers, Decimal and Fractions. To download class 8 Maths, just follow the links given below.


Class 8 Maths Exercise 1.1


Class 8 Maths Exercise 1.1 in Hindi


We will learn here the closure property under Addition, Multiplication, Division and Subtraction for Rational Numbers. Exercise 1.1 of Class 8 Maths is covering the questions on Multiplicative Inverse and other properties of Rational Numbers.

Chapter 2: Linear Equations in one Variable

Class 8 Maths Chapter 2 describes how to solve a linear equation in one variable. There are seven main points given in chapter 2 of 8th Mathematics. Get here topics separately the two exercises.


Class 8 Maths Exercise 2.1
Class 8 Maths Exercise 2.2


Class 8 Maths Exercise 2.1 in Hindi
Class 8 Maths Exercise 2.2 in Hindi


In Exercise 2.1, the simple linear equations in the variable are given to simplify and solve them, whereas Exercise 2.2 contains the questions based on the application of linear equations.

Chapter 3: Understanding Quadrilaterals

Class 8 Maths Chapter 3 deals with the plane curves like various type of polygons as a triangle, quadrilateral, pentagon, hexagon, heptagon, etc. There are total four exercises in class 8 Maths chapter 3. Students can get there solutions from the links given here.


Class 8 Maths Exercise 3.1
Class 8 Maths Exercise 3.2
Class 8 Maths Exercise 3.3
Class 8 Maths Exercise 3.4


Class 8 Maths Exercise 3.1 in Hindi
Class 8 Maths Exercise 3.2 in Hindi
Class 8 Maths Exercise 3.3 in Hindi
Class 8 Maths Exercise 3.4 in Hindi


Exercise 3.1 briefs about the interior and exterior parts of a closed figure, diagonals of a polygon, convex and concave polygons and angle sum property of a polygon. All the questions in Exercise 3.2 are following the property of the Measures of the Exterior Angles of a Polygon. Exercise 3.3 is based on types of quadrilaterals like Trapezium, Kite, Parallelogram with its angles and diagonals. Learn here about different types of quadrilaterals in Exercise 3.4. These quadrilaterals are Rhombus, Rectangle and Square.

Chapter 4: Data Handling

Class 8 Maths Chapter 4 starts with the concepts of Class Intervals, Lower and Upper Limits, Range, Class Width and Class Size. There are only two exercises in chapter 4 of class 8th Maths. Solutions links of these exercises are given here.


Class 8 Maths Exercise 4.1
Class 8 Maths Exercise 4.2


Class 8 Maths Exercise 4.1 in Hindi
Class 8 Maths Exercise 4.2 in Hindi


Here students of class VIII will learn about Histogram. The first exercise that is Exercise 4.1 represents another way of graphical representation, which is Pie Chart or Circle Graph. The second and last topic in Exercise 4.2 is Probability. It describes the concepts of events, outcomes, total favourable events and the total number of events. The Probability is an important topic, even in higher classes.

Chapter 5: Square and Square Roots

In Class 8 Maths Chapter 5, we will learn how to find square or square roots of a number. Square and square roots is one of the most important chapters of class 8th Math. This chapter is useful not only in class 8 but in next classes also. Practice well to learn it better using the solutions given here.


Class 8 Maths Exercise 5.1
Class 8 Maths Exercise 5.2
Class 8 Maths Exercise 5.3
Class 8 Maths Exercise 5.4


Class 8 Maths Exercise 5.1 in Hindi
Class 8 Maths Exercise 5.2 in Hindi
Class 8 Maths Exercise 5.3 in Hindi
Class 8 Maths Exercise 5.4 in Hindi


In Exercise 5.1, most of the questions are based on hit and trial method or successive addition method. Exercise 5.2 is related to find the square of a number by just multiplying the number to itself or using the Binomial Formula of expansion. A brief intro about Pythagoras Triplet is also given in the second exercise. In Exercise 5.3, the simple method is given to find square roots of a number by successive subtraction or using Prime Factorisation method. Exercise 5.4 is designed to find the square roots using division methods as well as by estimation.

Chapter 6: Cube and Cube Roots

In Class 8 Maths Chapter 6, we will discuss with the cubes of a number and its cube root also. There are only two exercises in class 8th Maths NCERT (https://ncert.nic.in/) chapter 6, which are given below with the complete solutions.


Class 8 Maths Exercise 6.1
Class 8 Maths Exercise 6.2


Class 8 Maths Exercise 6.1 in Hindi
Class 8 Maths Exercise 6.2 in Hindi


Exercise 6.1 explain the method of finding cube by adding a consecutive odd number or by using prime factors. Questions related to cube roots are given in Exercise 6.2 of Class 8 Mathematics. Students can learn here to find the cube root of a number using its Prime Factors.

Chapter 7: Comparing Quantities

Class 8 Maths Chapter 7 includes the questions related to ratio and proportion. Find the links given below to practice all the questions of Class 8 Maths chapter 7 in English and Hindi Medium.


Class 8 Maths Exercise 7.1
Class 8 Maths Exercise 7.2
Class 8 Maths Exercise 7.3


Class 8 Maths Exercise 7.1 in Hindi
Class 8 Maths Exercise 7.2 in Hindi
Class 8 Maths Exercise 7.3 in Hindi


In Exercise 7.1, questions are on ratios and percentage with some practical application. Increasing or decreasing of the percentage of given number, profit and loss percentage, discount, sell tax and VAT related questions are there in Exercise 7.2 of Class 8 Maths. Exercise 7.3 covers the questions on Simple (SI) and Compound Interest (CI).

Chapter 8: Algebraic Expressions and Identities

In Class 8 Maths Chapter 8, the concepts of algebraic expression with terms, factors and coefficient of Monomial, Binomial and Trinomials are given. 8th Maths chapter 8 is one of the most important chapters for exam.


Class 8 Maths Exercise 8.1
Class 8 Maths Exercise 8.2
Class 8 Maths Exercise 8.3
Class 8 Maths Exercise 8.4


Class 8 Maths Exercise 8.1 in Hindi
Class 8 Maths Exercise 8.2 in Hindi
Class 8 Maths Exercise 8.3 in Hindi
Class 8 Maths Exercise 8.4 in Hindi


Questions of Exercise 8.1 are based on like and unlike terms and addition or subtraction of algebraic expression. Introduction of multiplication of algebraic expression is given in Exercise 8.2 of 8th Maths. Most of the questions carry the product of monomials. Exercise 8.3 provides an overview of the questions in which we multiply a polynomial by a monomial, whereas in Exercise 8.4, we learn how to multiply a polynomial by another one.

Chapter 9: Mensuration

Class 8 Maths Chapter 9 Mensuration is not only the main topic for class 8, but it is important for further classes also. Get here the solutions, and start practicing.


Class 8 Maths Exercise 9.1
Class 8 Maths Exercise 9.2
Class 8 Maths Exercise 9.3


Class 8 Maths Exercise 9.1 in Hindi
Class 8 Maths Exercise 9.2 in Hindi
Class 8 Maths Exercise 9.3 in Hindi


The Exercise 9.1, deals with the areas related to Trapezium and another quadrilateral. In the next step of this chapter, we have to find the surface area of solid objects in Exercise 9.2 of Class 8th NCERT Maths. The volume of these 3D figures can be obtained using the formulae in Exercise 9.3 of 8th Maths.

Chapter 10: Exponents and Powers

In Class 8 Maths Chapter 10, students will study the numbers having negative or positive powers. The exercise 10.1 takes little bit more time as compare to exercise 10.2, get the solutions in link during practice, to help yourself during practice.


Class 8 Maths Exercise 10.1
Class 8 Maths Exercise 10.2


Class 8 Maths Exercise 10.1 in Hindi
Class 8 Maths Exercise 10.2 in Hindi


Exercise 10.1 is based on the Laws of Exponents. The second exercise explains about the Scientific Form or Standard Form. In 8th mathematics Exercise 10.2, we learn to convert the numbers in the standard form with the help of exponents.

Chapter 11: Direct and Inverse Proportions

Class 8 Maths Chapter 11, we have to check whether the value of both the quantities are increasing or one is increasing and other is decreasing. To practice all the NCERT questions follow the solutions links given below.


Class 8 Maths Exercise 11.1
Class 8 Maths Exercise 11.2


Class 8 Maths Exercise 11.1 in Hindi
Class 8 Maths Exercise 11.2 in Hindi


Exercise 11.1 contains the basic and easy questions of Direct Proportion, where the two quantities increase or decrease together. Similarly, Exercise 11.2 also deals with Inverse Proportion, where one value is increasing, but other is decreasing.

Chapter 12: Factorization

In Class 8 Maths Chapter 12, we will study about factors of natural numbers as well as algebraic expressions. For any difficulty, first try yourself. If the problem persist just get the solutions and find the systematic way to solve.


Class 8 Maths Exercise 12.1
Class 8 Maths Exercise 12.2
Class 8 Maths Exercise 12.3


Class 8 Maths Exercise 12.1 in Hindi
Class 8 Maths Exercise 12.2 in Hindi
Class 8 Maths Exercise 12.3 in Hindi


In Exercise 12.1, we will make factors by regrouping the terms, whereas, in Exercise 12.2, identities are the main tool to get simple factors of any polynomial. Exercise 12.3 contains questions based on the division of polynomials by another polynomial.

Chapter 13: Introduction to Graphs

Class 8 Maths Chapter 13 describes the methods to plot a Bar Graph, a Pie Chart or Circle Graph, Histograms and a Line Graph. Here the sums are based on formation as well as observation of the graphs.


Class 8 Maths Exercise 13.1
Class 8 Maths Exercise 13.2


Class 8 Maths Exercise 13.1 in Hindi
Class 8 Maths Exercise 13.2 in Hindi


Most of the questions in Exercise 13.1 are of Line Graphs. Graphs related to two variables are present in Exercise 13.2 based on the application of linear equations in two variables.

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How to use Class 8 Maths NCERT Solutions to get good Marks in Exam?

The NCERT Solutions for Class 8 Maths are modified for academic session 2024-25. Studying class 8 mathematics using NCERT solutions is a great way to ensure a strong foundation in the subject. Start by obtaining a copy of the NCERT textbook for class 8 mathematics. NCERT Solutions for class 8 Mathematics are a valuable resource available on https://www.tiwariacademy.com for students, offering guidance and practice to help them excel in their math studies. These solutions are designed to support the NCERT curriculum, making them an ideal tool for students following this educational board’s syllabus in India. This is the primary resource you’ll be working with. Here’s a step-by-step guide on how to do it effectively.

Step 1: Understand the Syllabus and Focus on NCERT Textbooks for practice.

Step 1: Understand the Syllabus and Focus on NCERT Textbooks for practice. Familiarize yourself with the class 8 mathematics syllabus which is revised for academic session 2024-25. This will help you identify the topics you need to cover and allocate your study time accordingly. Begin by reading the relevant chapters in the textbook. Try to understand the concepts as you go through them. Take notes if needed. NCERT Solutions help students grasp the underlying concepts and principles of mathematics. They explain the logic behind each solution, enhancing conceptual clarity.

Step 2: Solve Examples and use Class 8 Maths NCERT Solutions for practicing exercises.

Step 2: Solve Examples and use Class 8 Maths NCERT Solutions for practicing exercises.After reading each chapter, solve the examples provided in the textbook. This will give you a good grasp of the concepts and their applications. NCERT Solution provides to all the exercises and problems in the NCERT textbooks. You can find these solutions in a separate NCERT solutions book or online on the NCERT website. Use these solutions to check your answers and understand the correct approach to solving problems. Work through all the exercises and problems in the textbook. Use the NCERT solutions to verify your answers and learn from any mistakes you make.

Step 3: Follow Class 8 Maths NCERT, Take Notes to clear Doubts.

Step 3: Follow Class 8 Maths NCERT, Take Notes to clear Doubts. As you study class 8 Maths textbook, take notes of important formulas, theorems, and concepts. These notes will be helpful for quick revision before exams. If you come across any concepts or problems that you find difficult to understand, don’t hesitate to seek help. You can ask your teacher, a classmate, or use online resources like educational websites like Tiwari Academy and forums. Plan your study time wisely. Allocate specific time slots for math, and stick to your schedule. Consistency is key to mastering math. Mathematics is a subject that requires regular practice. Find extra worksheets or questions in math workbooks or online resources.

Step 4: Use NCERT Solutions for class 8 Mathematics to ensure accuracy of answers.

Step 4: Use NCERT Solutions for class 8 Mathematics to ensure accuracy of answers. NCERT Solutions provide step-by-step explanations and solutions to the exercises in the NCERT textbook. They serve as a guide to help students understand how to solve mathematical problems correctly. These solutions offer correct answers to all the questions in the textbook. This is essential for students to verify their solutions and ensure accuracy in their work. The solutions offer a wide range of practice problems. Practicing with these question answers help students build problem-solving skills and gain confidence in their mathematical abilities.

Step 5: Use Technology for better revision and take Mock Tests to test yourself.

Step 5: Use Technology for better revision and take Mock Tests to test yourself. There are various educational apps and websites that offer interactive math lessons and practice problems. Consider using them to make learning more engaging. Use your notes and the NCERT solutions to recap the key points. Before your exams, take mock tests or practice papers to assess your readiness. This will help to get used to the exam format and manage your time effectively. Math can be challenging, but maintaining a positive attitude and staying calm during exams is crucial. Believe in your preparation and do your best.

How many chapters are ther in Class 8 Maths?

According to revised syllabus for CBSE 2024-25, there are total 13 Chapters in Class 8 Maths NCERT Book. All chapters are compulsory for the exams. All the chapters are related to each other. Student can get the solutions of each questions of 8th Mathematics here in Hindi and English Medium. The tricky chapters are explained well in video also. The class 8 Maths Solutions are easy to use and understand. Follow the following steps to solve the questions:
1. Read the lesson and examples given before exercise.
2. Try to solve each question with the help of examples.
3. For the difficult questions, take help from PDF solutions.
4. To understand better the concepts, use the video solutions given here.

Is Class 8 Maths Easy?

Class 8 Maths can feel easy for some students if they have a strong grasp of the basics and stay consistent with their studies. Concepts learned in previous classes build the foundation for understanding new topics in Class 8. By practicing regularly and solving the exercises provided in the NCERT textbook, students can improve their skills and find the subject more manageable. Having a study routine and using available resources like NCERT solutions can help simplify complex topics, making them easier to understand over time.
On the other hand, some students might find Class 8 Maths challenging, especially when they encounter new concepts or have gaps in their previous understanding. In such cases, it’s essential to focus on clearing doubts and revisiting basic concepts before moving on to more advanced topics. Utilizing study aids like apps, online tutorials, and interactive practice sessions can make learning more engaging and effective. With the right approach and consistent effort, students can overcome these challenges and excel in Class 8 Maths, regardless of how difficult it may seem at first.

Which is the most interesting chapter in Class 8 Maths?

The most interesting chapter of class 8 is Chapter 13. To describe in better format videos related to this chapter is also given here. Students of 8th standard can easily understand it using class 8 Maths NCERT Solutions in Hindi or English Medium. Follow the steps to solve the questions of this chapter:
1. Spend time to find out the answer of these questions without taking any help from solutions given on websites.
2. Apply different tricks to solve the puzzles.
3. Discuss the exercise questions with family and friend for fun.
4. Make more similar questions of own to enjoy and learn more.

What are the main concepts given in Class 8 Maths NCERT book?

In Class 8 Maths NCERT textbook, students will learn deeper into mathematical concepts that build on what they have already learned. The NCERT Class 8 Maths book is designed to help students strengthen their understanding of key topics such as rational numbers, algebraic expressions and geometry. Throughout the book, you will encounter exercises that encourage you to practice and apply these concepts in a variety of problems, helping you build confidence and improve your problem-solving skills. The chapters also focus on real-life applications, showing how Maths is relevant to everyday situations.
The book introduces more advanced topics like squares and square roots, direct-inverse proportions and data handling. Each chapter is carefully structured to guide you from basic to more complex ideas, ensuring a solid foundation in mathematics. By the end of the book, you will have a strong grasp of Class 8 Maths, which will prepare you for higher-level studies. Regular practice of the exercises and examples provided in the NCERT book will help you master these concepts and perform well in exams.

How can I score good marks in 8th Maths?

There are some easy as well as difficult chapters in all the subjects. Its all varies from student to student. Some student enjoy doing all the time Maths but some get tired and bored in the same calculations. If a student who is somehow weak in Maths, he should start that chapter of Maths, which is most easier for him. Gradually practicing will increase the level of confidence and the interest towards Maths will be generated automatically.

Is NCERT Book is sufficient for Class 8 Maths Exams preparation?

Yes, the NCERT book is sufficient for Class 8 Maths exam preparation. It covers all the topics and concepts outlined in the curriculum, with clear explanations and plenty of exercises for practice. The book also includes additional TRY THESE problems to challenge your understanding and improve problem-solving skills. If you thoroughly study the concepts and regularly practice the exercises, you will be well-prepared for your exams.
However, for better understanding and extra practice, you should also consider using supplementary materials like NCERT solutions, NCERT Exemplar book or online resources. These can help clarify any doubts and provide additional practice, ensuring you’re fully confident before the exams.

What is better for class 8 Mathematics online or offline mode?

Studying offline through books is always better than any website or other online portals. Offline study using latest NCERT Books for class 8 Maths generates interest to do hard work whereas online portals are good only if you have any doubt in questions. Studying through Phone, laptops, computers, tablets make us mentally tired where studying offline compel us to think more and more about the fact we are studying.

How much time is needed to be perfect in class 8 Maths?

The time needed to master Class 8 Maths depends on individual learning speed, understanding of basic concepts and consistency in practice. On average, if you dedicate around 1-2 hours each day to studying and solving problems, you can build a strong foundation over the course of the school year. Regular practice and focusing on understanding rather than memorising will gradually improve your skills.
Some students might grasp concepts faster, while others may need more time, especially for difficult topics. The key is to stay consistent, clear any doubts as they arise and regularly review what you’ve learned. With steady effort, most students can achieve proficiency in Class 8 Maths within a few months.

How to score 90% or more marks in class 8 Maths exams?

Mathematics, as we all know, is a practice oriented subject. The more you practice, the more you will understand that will help you score good in the examinations. In Class 8 Maths, everyone should carefully read the examples given in each chapter of mathematics and then solve each question given in the exercises on its own. If the question is not solved or answered, then you should try and try again. Solving the questions by various methods help us to learn many different ways of doing each question. If you have no idea about a question in the exam or do not have complete confidence in any question, then this practice of solving help you here to find proper solutions. We see that even the toughest question gets solved by trying once or twice. In this way. Students will feel that their performance in day to day examinations gets better and easily get 90% or even more marks in the annual examination of Class 8 Maths.

How can I easily pass the Class 8 Maths exam?

There are a total of 13 chapters in the class 8 Maths NCERT Textbook. According to the interest of the students, they find that some chapters are simple but few are difficult one. By solving all the questions of the easy chapters we can easily manage passable marks in 8th Maths. For example, linear equations with one variable, rational numbers, Data Handling, and introduction to graphs are easy.

Which is the easiest chapter of class 8 Maths NCERT?

The easiest chapter in Class 8 Mathematics is chapter 2 Linear Equations in One Variable. It has a total of 2 exercises. Chapter 2 of 8th Maths is easy as well as very useful for examinations. By practicing this chapter, we can score better marks even in less practice. Class 8 Chapter 2 is one of the very important chapters in next classes also.

Which lesson is the most difficult chapter of Class 8 Maths?

Which chapter is difficult and which is simple, generally it can vary from student to student. But most of the students find difficulty in Chapter 9 algebraic expressions and identities of Class 8 Maths. Most of the students face difficulties during implementation of identities in questions. Even after solving each question repeatedly, one is not able to get the confidence which is easily found in the rest of the chapters.

Last Edited: October 25, 2024
Content Reviewed: October 25, 2023
Content Reviewer

Sushant Mukherjee

Providing help in science for class 6 to 10. Adviser in Tiwari Academy for the science related subjects subject as well as videos contents. Ample teaching experience in schools. I am not only working for Tiwari Academy but also provide new ideas for the website and apps.