# NCERT Solutions for Class 8 Maths: Chapter Wise Solution PDF

Last Updated : 10 Apr, 2024

Mathematics is an important subject in academics. If students will plan their class 8 Maths syllabus accordingly, then they can score good marks in exam. Various questions based on NCERT Class 8 Math topics were asked in almost all competitive exam in India.

The syllabus of CBSE Board class 8 Mathematics is based on NCERT. So this Class 8 Math NCERT Solution by GeeksforGeeks might help you in ace the exam. We’ve aligned NCERT Maths textbook solutions with the latest NCERT curriculum, covering topics such as Rational Numbers, Linear Equations, Quadrilaterals, Data Handling, and more according to the CBSE Class 8 Syllabus.

This Chapter wise NCERT solution of Class 8 Maths is very beneficial for students who ever is preparing for the annual as well as competitive exams.

## NCERT Solutions for Class 8 Maths – Chapter-Wise

Below is the chapter wise solution of NCERT Class 8 Maths.

Class 8 Math NCERT Solution PDF

## NCERT Class 8 Maths Solution

### Chapter 1 – Rational Numbers

Class 8th Maths Chapter 1 is about the properties of real numbers, rational numbers, the representation of a rational number on a number line, and additive and multiplicative identity. To Access and download NCERT Class 8 solution, you simply follow the links given below.

In NCERT Notes, we have covered NCERT Problems based on Rational numbers mainly discussing the characteristics of all real numbers, integers, whole numbers, rational numbers, and natural numbers.Â

Class 8 Maths NCERT Solutions Chapter 1

No Of Questions

Rational Numbers ExerciseÂ 1.1

Rational Numbers Exercise 1.2

Exercise 1.1 are related to the properties of rational numbers (closure, commutativity, associativity, etc.). However, Exercise 1.2 are completely related to the advanced concepts of rational numbers like the representation of rational numbers on a number line and determining any numbers of rational numbers between any two rational numbers.

Note: Here in this section, we have mentioned some of the most important resources you will need during the practice of NCERT class 8 math’s, chapter 1.

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### Chapter 2 – Linear Equations in One Variable

Class 8 Maths Chapter 2 deals with the Linear Equations in One Variable and its algebraic operations. This chapter contains six different exercises that have problems based on linear equations in one variable and their application. There are a total of six exercises in Class 8 Maths NCERT Solutions Chapter 2 with some extra questions. Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 2

No Of Questions

Ex 2.1

Ex 2.2

Ex 2.3

Ex 2.4

Ex 2.6

In Chapter 2 linear equations in one variable, we have 65 well-structured questions, which may be divided into 20 simple calculation sums, 38 intermediate levels, and 7 difficult problems. Exercises 2.1, 2.2, 2.3, and 2.4 are designed to determine the solution of the linear equation. However, Exercises 2.5 and 2.6 are based on the topic equations reducible to the linear form.

Note: To get more important tips on Class 8 Linear Equations, go through the below-listed resources.

### Chapter 3 – Understanding Quadrilaterals

Class 8 Maths Chapter 3 covers all types of quadrilaterals such as polygonal shapes like squares, rectangles, triangles, pentagons, hexagons, etc. In total, this chapter contains four exercises that include a total of 31 questions, out of which 7 are easy, 16 are medium and 8 are difficult problems. There are a total of four exercises in Class 8 Maths NCERT Solutions Chapter 3 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 3

No Of Questions

Ex 3.1

Ex 3.2

Ex 3.3

Ex 3.4

Exercise 3.1 covers the problems on the definition of various polygons and their properties, Exercise 3.2 is based on the concept of the Angle sum property of a polygon. However, Exercise 3.3 covers the elements and the properties of quadrilaterals like trapezium, kite, and parallelogram, and Exercise 3.4 is designed to learn some special types of parallelograms like squares, rectangles, and rhombus.

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### ChapterÂ 4 – Practical Geometry

Class 8 Maths ChapterÂ 4 helps to learn the construction of quadrilaterals when different parameters of it are known. Geometry may be visualized and realized in the actual world with the help of Practical Geometry. This can be applied in architecture, sculpture, dimension calculations, and other areas. There are a total of five exercises in the Maths Class 8 NCERT Solutions Chapter 4 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 4

No Of Questions

Ex 4.1

Ex 4.2

Ex 4.3

Ex 4.4

Ex 4.5

This chapter contains a total of five exercises only, with 8 questions in total. Each question is divided into 3-4 subparts with easy, to difficult questions. Exercise 4.1 covers the problem for the case when the lengths of four sides and a diagonal are given. Similarly, Exercises 4.2, 4.3, and 4.4 are based on the topics when two diagonals and three sides are known, two adjacent sides and three angles are given and three sides and two included angles are provided.

However, Exercise 4.5 contains problems based on some special cases.

Note: Beyond these pages, you can find more related resources for NCERT Class 8 Geometry. We have listed some of the more pages related to Geometry that help sharpen your skills and ignite your understanding.

### ChapterÂ 5 – Data Handling

Class 8 Maths ChapterÂ 5 is all about Data handling which is a method of organizing data or information systematically using diagrams like pictographs, pie charts, bar graphs, and histograms. Students learn about data organization and representation in this chapter. Data handling is the process of organizing data systematically. There are a total of three exercises in the Class 8 Maths NCERT Solutions Chapter 5 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Class 8 NCERT Solutions Maths Chapter 5

No Of Questions

Ex 5.1

Ex 5.2

Ex 5.3

This chapter consists of only three exercises. Exercise 5.1 is based on the basic concept of representing, organizing, and grouping the data provided while Exercise 5.2 helps to make a pie chart for the given data. Moreover, Exercise 5.3 covers the topic that helps to understand the basic concept of probability.

Note: Explore more useful resources like data handling notes and data handling formulas to boost your data Handling concepts.

### ChapterÂ 6 – Squares and Square Roots

Class 8 Maths ChapterÂ 6 gives the knowledge of the concept to determine the squares and square roots of a number. The different properties and the pattern followed to find a square number are discussed in four exercises. There are a total of four exercises in the Class 8 Maths NCERT Solutions Chapter 6 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 6 Exercises

No Of Questions

Ex 6.1

Ex 6.2

Ex 6.3

Ex 6.4

Exercises 6.1 and 6.2 are based on the basic idea of square numbers and different ways to determine them. Though Exercises 6.3 and 6.4 are focused on the concept of the determination of the square root of a number.

Note: Get hands-on with the NCERT class 8 chapter 6 (Square and Square Roots) important formulas and RD Sharma solutions.

### ChapterÂ 7 – Cubes and Cube Roots

Class 8 Maths ChapterÂ 7 suggests Cubes and Cube roots which helps to understand the concept to determine the cubes and cube roots of a number. The different patterns followed to find a cube and cube root of a number are discussed in only two exercises. There are a total of two exercises in the Class 8 Maths NCERT Solutions Chapter 7 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 7 Exercises

No Of Questions

Exercise 7.1

Exercise 7.2

Exercise 7.1 contains the problem to determine whether the given number is a perfect cube or not. And Exercise 7.2 focused on the idea of the cube root and the determination of the cube root of a number.

### Access the following Related resources for Class 8 ChapterÂ 7 Cubes and Cube Roots:

Note: Level up your Cubes and Cube Roots concepts by exploring the below-linked important notes.

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### ChapterÂ 8 – Comparing QuantitiesÂ

Class 8 Maths ChapterÂ 8 gives a basic understanding of the topics related to comparing quantities like increased and decreased percentages, market price, selling price, cost price, discount, discount price, profit or loss, interest, etc. There are a total of Three exercises in the Class 8 Maths NCERT Solutions Chapter 8 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 8 Exercises

No Of Questions

Exercise 8.2

In total there are three exercises in this chapter, Exercise 8.1 is based on the topics of ratios and percentage, and Exercises 8.2 and 8.3 covers a wide range of concepts such as percentage, profit or loss, tax, and compound interest.

Note: Deepen your understanding of comparing quantities in Class 8, Chapter 8! Dive into related resources like important notes on Comparing Quantities, RD Sharma solutions, and all the important formulas for Class 8, Chapter 8 Comparing Quantities.

 1. CBSE Class 8 Maths Notes ChapterÂ 8Â Class 8 RD Sharma SolutionsÂ for chapter – Comparing Quantities I, II,III All important NCERT formulas for class 8 Chapter 8 Comparing Quantities

### ChapterÂ 9 – Algebraic Expressions and IdentitiesÂ

Class 8 Maths ChapterÂ 9 is on Algebraic Expressions and Identities which briefs the basics of monomials, binomials, and polynomials in an algebraic expression. In the Class 8 Maths NCERT Solutions Chapter 9 Exercises, Multiplying different polynomials, and solving questions using algebraic identities are essential topics covered in this chapter.Â

Maths Class 8 NCERT Solutions Chapter 9 Exercises

No Of Questions

Exercise 9.1

Exercise 9.2

Exercise 9.3

Exercise 9.4

There are 25 well-structured questions in Chapter 9 algebraic expressions and identities, including 8 basic identity-based problems, 12 intermediate problems, and 5 hard questions. Exercises 9.1 and 9.2 covers the basic concepts of terms related to polynomials and operations on the expressions. Exercises 9.3 and 9.4 are based on the multiplications of polynomials while Exercise 9.5 discussed the standard algebraic identities.

Note: For more input and vital knowledge on NCERT Class 8, Chapter 9, Algebraic Expressions and Identities, follow the below link. It will provide you with more useful insights on this topic.

### ChapterÂ 10 – Visualizing Solid ShapesÂ

Class 8 Maths ChapterÂ 10 provides an understanding of visualizing solids shapes when visualized in different dimensions and various terms used to describe their properties. In the Class 8 Maths NCERT Solutions Chapter 10 Exercises, the chapter covered three different exercises consisting of a total of 15 Questions. Out of which 10 are easy, 3 are moderate and 2 are easy-to-level questions.

Class 8 NCERT Solutions Maths Chapter 10 Exercises

No Of Questions

Exercise 10.1

Exercise 10.2

Exercise 10.3

Here exercises 10.1 and 10.2 are based on the concept of the visualization of different solid shapes at different positions and the mapping spaces around the observer. Though, Exercise 10.3 discussed the terms like faces, edges, vertices, and the relation between them, related to a solid shape.

Note: Here in this section, we have linked more resources, like class 8 chapter 10 notes, RD Sharma, and important formulas.

### ChapterÂ 11 – Mensuration

Class 8 Maths ChapterÂ 11 Mensuration deals with the measurement or the calculations related to determining the area, perimeter, volume of various geometrical figures like squares, cubes, rectangles, cuboids, cylinders, and triangles, etc. There are a total of four exercises in the Class 8 Maths NCERT Solutions Chapter 11 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 11 Exercises

No Of Questions

Exercise 11.1

Exercise 11.2

Exercise 11.3

Exercise 11.4

This chapter consists of only four exercises in which Exercises 11.1 and 11.2 deal with problems related to the areas of different geometrical shapes, combinations of shapes, and everyday life examples. However, Exercises 11.3 and 11.4 discussed the terminology related to 3-Dimensional shapes.

Note: Explore more resources to get more deep knowledge on Mensuration.

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## NCERT Solutions for Class 8 Maths ChapterÂ 12 – Exponents and Powers

Class 8 Maths ChapterÂ 12 cover the primary concepts such as the laws of exponents and their applications. The main topics covered in this chapter are expressing numbers in the form of exponents and applying the laws of negative exponents. There are a total of two exercises in the Class 8 Maths NCERT Solutions Chapter 12 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 12 Exercises

No Of Questions

Exercise 12.1

Exercise 12.2

In class 8 Maths chapter 12 exponents and powers, there are 11 questions, four of which are based on exponent laws, three of which are medium level, and two of which are difficult. Exercise 12.1 is specifically based on the laws of exponents, and Exercise 12.2 deals with the problems using the applications of power to write large numbers in exponents and vice-versa.

Note: Here in this section, we have listed some important resources that will help you understand NCERT Class 8 Chapter 12 Exponents and Powers.

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### ChapterÂ 13 – Direct and Inverse Proportions

Class 8 Maths ChapterÂ 13 gives a detailed explanation of inverse and direct proportions through problems discussed in two exercises. This chapter covers various types of questions on direct proportion and identifying inverse proportion. And determining the value of quantities following this relationship, the important topics explained in Class 8 Maths NCERT Solutions Chapter 13 Exercises.

Maths Class 8 NCERT Solutions Chapter 13 Exercises

No Of Questions

Exercise 13.1

Exercise 13.2

There are 21 well-structured problems in Chapter 13 on direct and inverse proportion. There are five simple relationship identification questions, ten moderately tough questions, and six lengthy answer-type sums. Exercise 13.1 contains problems to determine the direct proportions between any quantity and Exercise 13.2 deals with the questions from the indirect inverse.

Note: Explore more resources, like notes, formulas, and the RD Sharma solution to Chapter Direct and Inverse Proportions.

### ChapterÂ 14 – Factorization

Class 8 Maths ChapterÂ 14 teaches students how to factor algebraic equations using numerous methods and the steps required to divide different types of polynomials. Factorization is an important topic since it is an integral part of mathematics. In Class 8 Maths NCERT Solutions Chapter 14 Exercises, the chapter comprises the problems on the factors of natural numbers and algebraic expressions, factorization by regrouping terms, factorization using identities, and division of algebraic expressions.

Maths Class 8 NCERT Solutions Chapter 14 Exercises

No Of Questions

NCERT Maths Solutions Class 8 Exercise 14.1

NCERT Maths Solutions Class 8 Exercise 14.2

NCERT Maths Solutions Class 8 Exercise 14.3

NCERT Maths Solutions Class 8 Exercise 14.4

The chapter includes four exercises out of which exercises 14.1 and 14.2 are based on the topic factorizations and their application while exercises 14.3 and 14.4 emphasize the division of algebraic expressions.

Note: For more deep knowledge, follow the below links. Here we have mentioned Chapter 14 Factorization, important notes, and formulas.

### ChapterÂ 15 – Introduction to GraphsÂ

Class 8 Maths ChapterÂ 15 is all about the basic understanding of graphs, kinds of graphs, etc. Other topics include linear graphs and how to apply them to daily life problems. There are a total of three exercises in the Class 8 Maths NCERT Solutions Chapter 15 Exercises with some extra questions.

Class 8 Students can access their solutions from the links given here.

Class 8 NCERT Solutions Maths Chapter 15 Exercises

No Of Questions

NCERT Solutions for Class 8 Maths Exercise 15.1

NCERT Solutions for Class 8 Maths Exercise 15.2

NCERT Solutions for Class 8 Maths Exercise 15.3

Chapter 15 introduction to graphs consists of a total of 13 problems. 7 are difficult-to-level analytical questions, 2 are moderate and 4 are easy problems. Exercise 15.1 deals with problems from the introduction to graphs and terminology related to them while problems in Exercises 15.2 and 15.3 provided an emphasis on the construction of different types of graphs and their applications.

Note: Explore more useful notes and formulas in NCERT Chapter 15 Introduction to Graphs.

### ChapterÂ 16 – Playing with Numbers

Class 8 Maths ChapterÂ 16 helped to learn about various kinds of numbers and their different properties likewise in this chapter the concept of numbers is discussed in a more general way. Class 8 Maths NCERT Solutions Chapter 16 Exercises Playing with numbers allows students to explore the properties of numbers interactively. This chapter assists students in determining the divisibility of integers by providing a list of pointers and methods for increasing calculation speed.

Class 8 NCERT Solutions Maths Chapter 16 Exercises

No Of Questions

Exercise 16.1

Exercise 16.2

Chapter 16 Playing with Numbers consists of a total of 14 problems. Out of which, 5 are easy-to-level problems based on games, 7 are moderate-level questions based on divisibility tests, while the rests two are difficult-to-level questions. Exercise 16.1 and 16.2 contains fun activities, puzzles, etc. such as divisibility tests to determine any missing number in a series of numbers.Â

Note: If you are looking for the important notes of Chapter 16 Playing with Numbers, then here in this section we have mentioned some useful resources that will easily enhance your knowledge of NCERT Chapter 16.

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## CBSE Class 8 Math Marks Weightage 2024 – Chapter-wise

Unit Unit Name Marks
1 Number System 26
2 Algebra 21
3 Ratio and Proportion 8
4 Geometry 18
5 Mensuration 11
6 Data Handling 8
7 Introduction to Graphs 8

Total

100

## NCERT Solutions for Class 8 Maths – FAQ’s

### What are some important formulas from Class 8 Maths NCERT?

Here is the list of some important formulas covered in NCERT solutions from Mensuration and Algebra, for class 8 maths are given below:

Important Mensuration formulas:

• TSA of Cuboid = 2(lb + bh +lh)
• TSA of Cube = 6a2
• TSA of Right Circular Cone = Ï€r (l + r)
• CSA of Solid Shapes
• CSA of Cuboid = 2(l + b)
• CSA of Cube = 4a2
• CSA of Right Circular Cone = Ï€rl
• Volume of Cuboid = lbh
• Volume of Cube = a3
• Volume of Right Circular Cone = â…“ Ã— Ï€r2h

Important Algebraic Expressions

• (x + a)(x + b) = x2 + (a + b)x + ab
• (x – a)(x – b) = x2 – (a + b)x + ab
• (x – a)(x + b) = x2 + (b – a)x – ab

### Why it is important to study Class 8 Maths Notes for CBSE Exams?

Making notes when studying the NCERT Solutions Class 8 Maths is usually a good idea because they serve as guides for pupils while revising the amounts. Furthermore, notes aid students in recalling topics involved in a problem at a glance. This cuts down on the amount of time it takes to go over an issue during an exam.

### Why are NCERT Solutions for Class 8 Maths Important?

NCERT Solutions for Class 8 Math are essential since they allow students to double-check their responses to exercise problems. These NCERT answers for class 8 math are self-explanatory and give pupils a full overview of the procedures they must take to obtain the correct answer using the most effective way.

### How Many Chapters are there in Class 8 Maths NCERT?

The NCERT solutions for class 8 maths contain 16 chapters. Mensuration, graphs, factorization, exponents, and other topics covered in this chapter create the foundation for higher levels. Because mathematics is a subject in which all subjects are interconnected, it is critical to be well-versed in all of these chapters in order to prevent misunderstanding in higher grades.

### Where can I download CBSE Class 10 NCERT Mathematics PDF Solutions?

You can download CBSE Class 8 NCERT Mathematics PDF Solutions from the our website and from official website as well of National Council of Educational Research and Training (NCERT).

### How to perform well in 8th Maths?

The usefulness of educational resources, such as Class 8 NCERT Solutions at Tiwari Academy, can differ based on how each student learns. It’s a good idea for students to explore various resources on our website or app and select the ones that match their learning style and goals.

### What are the Class 8 Maths NCERT Solutions & Main Exercises of all chapters?

Chapter 1: Rational Numbers

• Class 8 Maths Exercise 1.1
• Class 8 Maths Exercise 1.2

Chapter 2: Linear Equations in one Variable

• Class 8 Maths Exercise 2.1
• Class 8 Maths Exercise 2.2

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

Chapter 4: Data Handling

• Class 8 Maths Exercise 4.1
• Class 8 Maths Exercise 4.2

Chapter 5: Square and Square Roots

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

Chapter 6: Cube and Cube Roots

• Class 8 Maths Exercise 6.1
• Class 8 Maths Exercise 6.2

Chapter 7: Comparing Quantities

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

Chapter 8: Algebraic Expressions and Identities

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

Chapter 9: Mensuration

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

Chapter 10: Exponents and Powers

• Class 8 Maths Exercise 10.1
• Class 8 Maths Exercise 10.2

Chapter 11: Direct and Inverse Proportions

• Class 8 Maths Exercise 11.1
• Class 8 Maths Exercise 11.2

Chapter 12: Factorization

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

Chapter 13: Introduction to Graphs

• Class 8 Maths Exercise 13.1
• Class 8 Maths Exercise 13.2

### Which is the most interesting chapter in Class 8 Maths?

The captivating Chapter 13 in Class 8 is accompanied by helpful videos. Utilize Class 8 Maths NCERT Solutions in Hindi or English to grasp it effortlessly. Follow these steps:

1. Try answering questions independently before seeking online solutions.

2. Employ various problem-solving techniques.

3. Engage in discussions with friends and family about exercise questions.

### How can I easily pass the Class 8 Maths exam?

The Class 8 Maths NCERT Textbook has 13 chapters. Some chapters, like linear equations with one variable, rational numbers, Data Handling, and introduction to graphs, are easier. Focus on mastering these chapters to secure passable marks in 8th-grade Maths.

### Which is the easiest chapter of class 8 Maths NCERT?

Chapter 2, ‘Linear Equations in One Variable,’ in Class 8 Mathematics is the easiest and highly beneficial for exams. With only 2 exercises, it allows for better marks with less practice. It also lays a strong foundation for future classes.