NCERT Solutions for Class 8 Maths

• 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

With chapter-wise solutions ranging from NCERT Class 8 Math Chapter 1 (Rational Numbers) to Chapter 13 (Introduction to Graphs), students can easily explore complex topics like linear equations, Pythagoras theorem, algebraic expressions, and construction of geometrical figures. These solutions help in understanding core concepts such as commutative and associative properties, factorization, coordinate plotting and volume and surface area of solids. For convenient digital access, all materials are available in PDF format—like NCERT Class 8 Maths Textbook PDF Download and NCERT Class 8 Maths Solutions Free PDF. These resources build a strong base in problem-solving, numerical computations and logical reasoning, making Maths learning more structured and effective.

NCERT Class 8 Math Solutions serves as a critical foundation for advanced studies in mathematics, requiring students to focus on topic’s clarity and rigorous problem-solving techniques. Resources such as Class 8 Maths NCERT Solution, Class 8 Math Textbook chapter-wise solutions and 8th Mathematics solved examples provide comprehensive guidance to tackle even the most challenging algebraic expressions, geometric proofs and numerical computations. To streamline learning, students often refer to CBSE Class 8 Maths formulas, including linear equations, ratios and exponents, as well as Class 8 Math Book revision notes, which are vital for quick preparation and mastering key concepts before exams.
Study Plan for Class 8 Final Exam
NCERT Class 8 Math question banks and practice problems ensure ample problem-solving practice, enhancing both confidence and calculation accuracy. NCERT Class 8th Mathematics Textbook Solutions provide detailed answers to all exercises, including the additional Try These problems. Covering essential topics like linear equations, quadrilaterals and mensuration, these solutions help students build a strong foundation. NCERT Maths book for Grade 8 includes 13 chapters, each designed to improve understanding of conceptual frameworks and mathematical logic. With step-by-step guidance and solutions tailored for CBSE students, topics like algebraic identities, rational numbers and data handling become manageable, preparing students for advanced mathematical studies while ensuring clarity in problem-solving techniques

For effective revision, students rely on Class 8 Math formulae, CBSE Class 8 Mathematics revision notes, and NCERT Class 8 Maths study material to prepare for exams efficiently. The availability of Class 8 Mathematics important questions and Class 8 Maths question banks ensures targeted practice to build confidence.
Class 8 Mathematics solutions are designed to help students easily understand and solve exercises from the NCERT Class 8 Maths Books. These NCERT Textbook Solutions enhance problem-solving skills and support students in excelling in CBSE 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.

NCERT Class 8 Maths Solutions go beyond simply providing answers, offering in-depth guidance for exercises across chapters. From Class 8 Math Textbook Exercise Solutions for algebraic expressions and linear equations to problem-solving techniques in mathematical ratios and geometric constructions, these solutions teach varied student needs. The availability of chapter-specific guides like NCERT Book Class 8 Mathematics Chapter 5 Solutions on data handling and CBSE Class 8 Maths Chapter 10 Solutions on mensuration allows focused preparation. Whether studying online or offline, students can rely on tools like NCERT Textbook Class 8 Maths Solution Online to clarify doubts, improve numerical accuracy and build confidence in topics such as factorization, geometry and statistics. These resources have become indispensable for academic success, helping students master mathematical concepts and operations with ease.
How to perform well in 8th Maths
The effectiveness of study material like NCERT Class 8 Maths Solution at Tiwari Academy may differ based on each student’s learning style and needs. It’s essential for CBSE Class 8 students to explore various resources available on the website or app to find what works best for them.

For effective preparation, NCERT Class 8 Math sample papers and CBSE Class 8 Maths previous year papers offer insights into question patterns and frequently asked questions. To cater to diverse learning needs, platforms offer Class 8 NCERT Mathematics Textbook video lectures, Class 8 Math Book online tests and 8th Maths interactive quizzes that make studying engaging and accessible. Students can also benefit from Class 8 NCERT Maths doubt-clearing sessions and CBSE Class 8 Math online classes to resolve queries in real-time. With these extensive resources, mastering topics like algebra, geometry and data handling becomes achievable, setting a strong base for future academic success.

Study Plan to Score well in NCERT Class 8 Maths

A study plan is highly helpful for Class 8 Math. It ensures consistent practice, organizes topics systematically and helps focus on weaker areas. Regular revision boosts confidence, while solving diverse problems enhances critical thinking. A structured plan lays a strong foundation for advanced math concepts in higher classes.

NCERT Class 8 Mathematics is not about numbers, equations or tricks – it’s about understanding the concepts. Prepare well with regularity, then every problem becomes a stepping stone to success.

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.

To excel in exams, students benefit from tools like Class 8 Mathematics sample papers, NCERT Class 8 Math previous year papers and CBSE Class 8 Maths online tests, which simulate real exam conditions. Engaging resources like Class 8 NCERT Math textbook video lectures and 8th Mathematics interactive quizzes make learning enjoyable and accessible. Personalized support through Class 8 Math doubt-clearing sessions and Class 8 Mathematics online classes helps resolve queries instantly. Whether it’s preparing assignments or practicing through Class 8 Math NCERT Book practice tests, these resources are indispensable for mastering the subject and achieving academic success.

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 2025-26 based on the latest NCERT Books.

Best way to prepare Class 8 Maths for Exams
Set up a daily study schedule with Maths to build a solid understanding of basic concepts. Use your NCERT textbook as your main mathematics study guide, as it offers clear explanations and ample practice problems. Break down as per the CBSE syllabus into smaller parts for focused study sessions.
Balance study with relaxation by taking regular breaks and engaging in activities you enjoy, like sports, music, or hobbies, to keep your mind refreshed. Stay positive and confident in your ability to improve. Regular quizzes or timed practice will help you monitor progress. With steady effort, a strong grasp of Mathematics concepts and good time management, you can succeed in CBSE Class 8 Maths.

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.

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.

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.

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.

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.

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.

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).

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.

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.

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.

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.

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.

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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10 Reasons for Class 8 Maths student to Use Tiwari Academy NCERT Exercises Solutions

1. Complete Coverage: These solutions cover all the chapters and topics in the Class 8 Maths NCERT textbook, ensuring a thorough understanding of the syllabus.
2. Step-by-Step Explanations: Each problem is solved with detailed, step-by-step explanations, making it easier for students to grasp concepts and methods.
3. Exam-Focused Approach: NCERT Solutions align with CBSE exam patterns, helping students prepare effectively for school and board exams.
4. Concept Simplified: Complex mathematical concepts are broken down into simple, understandable steps to enhance conceptual understanding.
5. Practice for all Exams: The solutions provide a solid foundation for competitive exams like NTSE and Olympiads by strengthening fundamental mathematical skills.
6. Time Saving: Learning shortcuts and efficient problem-solving techniques helps students manage their time better during exams.
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8. Error-Free Content: Curated by subject matter experts, the solutions are accurate and error-free, ensuring reliable study material.
9. Confidence Building: Regular practice with NCERT Solutions boosts students’ confidence in solving both textbook problems and advanced-level questions.
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