Contents

- 1 NCERT Solutions for Class 8 Maths
- 1.1 Chapter 1 Rational Numbers
- 1.2 Chapter 2 Linear Equations In One Variable
- 1.3 Chapter 3 Understanding Quadrilaterals
- 1.4 Chapter 4 Practical Geometry
- 1.5 Chapter 5 Data Handling
- 1.6 Chapter 6 Squares and Square Roots
- 1.7 Chapter 7 Cubes and Cube Roots
- 1.8 Chapter 8 Comparing Quantities
- 1.9 Chapter 9 Algebraic Expressions and Identities
- 1.10 Chapter 10 Visualising Solid Shapes
- 1.11 Chapter 11 Mensuration
- 1.12 Chapter 12 Exponents and Powers
- 1.13 Chapter 13 Direct and Inverse Proportions
- 1.14 Chapter 14 Factorisation
- 1.15 Chapter 15 Introduction to Graphs
- 1.16 Chapter 16 Playing with Numbers

Look no further for free, accurate NCERT Solutions for class 8 Maths. We provide expert NCERT solutions for all the chapters from the NCERT Class 8 math textbook.

The answers are organised in a chapter-wise manner so that the student can easily find what they’re looking for.

## NCERT Solutions for Class 8 Maths

### Chapter 1 Rational Numbers

Until now, the student must have dealt only with whole numbers. In this chapter, they learn about rational, irrational and real numbers. They’ll also learn about their properties and representation of real numbers on the number line.

### Chapter 2 Linear Equations In One Variable

In this chapter, the students learn how to solve linear equations with only one variable. They practise doing operations on both sides of the equation to simplify the expression. They also learn the related applications and model various situations into linear equations containing one variable.

- Linear Equations In One Variable Class 8 Ex 2.1
- Linear Equations In One Variable Class 8 Ex 2.2
- Linear Equations In One Variable Class 8 Ex 2.3
- Linear Equations In One Variable Class 8 Ex 2.4
- Linear Equations In One Variable Class 8 Ex 2.5
- Linear Equations In One Variable Class 8 Ex 2.6

### Chapter 3 Understanding Quadrilaterals

A polygon with four sides is called a quadrilateral. There are many quadrilaterals, each with their own unique properties – square, rectangle, rhombus, etc. In this chapter, as the title suggests, the student learns about all these properties.

- Understanding Quadrilaterals Class 8 Ex 3.1
- Understanding Quadrilaterals Class 8 Ex 3.2
- Understanding Quadrilaterals Class 8 Ex 3.3
- Understanding Quadrilaterals Class 8 Ex 3.4

### Chapter 4 Practical Geometry

This is a crucial chapter that takes a lot of practise. To draw a triangle, 3 measurements will suffice, for example, three sides, two sides and the included angle, two angles and the included side, etc. Similarly, to construct a quadrilateral, four measurements are needed. In this chapter, the student learns to make these constructions.

- Practical Geometry Class 8 Ex 4.1
- Practical Geometry Class 8 Ex 4.2
- Practical Geometry Class 8 Ex 4.3
- Practical Geometry Class 8 Ex 4.4
- Practical Geometry Class 8 Ex 4.5

### Chapter 5 Data Handling

Going through every piece of information in the collected data will prove cumbersome in most cases. Hence, the data is represented using charts and graphs. In this chapter, the students learn the valuable skill of interpreting these charts. They work with pie charts, bar graphs, double bar graphs, pictographs and histograms.

### Chapter 6 Squares and Square Roots

As the students learn more advanced topics, they’ll often come across many squares and their square roots. This chapter lays the foundation for the same and teaches the student how to relate a number and its square. The students also learn how to compute the square and square root of a number.

- Squares and Square Roots Class 8 Ex 6.1
- Squares and Square Roots Class 8 Ex 6.2
- Squares and Square Roots Class 8 Ex 6.3
- Squares and Square Roots Class 8 Ex 6.4

### Chapter 7 Cubes and Cube Roots

In the vein of the previous chapter, this chapter deals with cubes and cube roots. The students learn many interesting ways of calculating the cube root of a number.

### Chapter 8 Comparing Quantities

This chapter teaches the student practical math that is useful in everyday life. It starts off with a brief discussion of ratio and percentages, and moves on to the topic of buying, selling and loans. The student learns about profit, loss, sales tax, compound and simple interest on loans, etc.

- Comparing Quantities Class 8 Ex 8.1
- Comparing Quantities Class 8 Ex 8.2
- Comparing Quantities Class 8 Ex 8.3

### Chapter 9 Algebraic Expressions and Identities

In this chapter, the students learn standard tools that they’ll apply everywhere. They learn about factors, coefficients and terms in polynomials. They also learn to perform basic arithmetic on polynomials, like adding, subtracting and multiplying two monomials, binomials, polynomials, or between any two of them. They also learn about important algebraic identities and how to apply them.

- Algebraic Expressions and Identities Class 8 Ex 9.1
- Algebraic Expressions and Identities Class 8 Ex 9.2
- Algebraic Expressions and Identities Class 8 Ex 9.3
- Algebraic Expressions and Identities Class 8 Ex 9.4
- Algebraic Expressions and Identities Class 8 Ex 9.5

### Chapter 10 Visualising Solid Shapes

This is a continuation of chapter 15 in class 6. The students pick up where they left off, and learn about faces, edges, vertices, and views of a 3-D object.

- Visualising Solid Shapes Class 8 Ex 10.1
- Visualising Solid Shapes Class 8 Ex 10.2
- Visualising Solid Shapes Class 8 Ex 10.3

### Chapter 11 Mensuration

This is another important chapter that will be revisited in higher classes. Here, the students learn how to compute the area of special quadrilaterals, trapeziums, polygons, etc.

- Mensuration Class 8 Ex 11.1
- Mensuration Class 8 Ex 11.2
- Mensuration Class 8 Ex 11.3
- Mensuration Class 8 Ex 11.4

### Chapter 12 Exponents and Powers

For representing large numbers, scientific notation is widely used, which relies upon exponents of 10. Hence, it is important to understand this chapter thoroughly. It is also useful in general algebra. In this chapter, students learn about the rules governing exponents and powers, including raising a number to power one, raising one to any power, adding and subtracting exponents, etc.

### Chapter 13 Direct and Inverse Proportions

Everywhere in science, students have to deal with proportionality between two quantities. In this chapter, they learn in detail about the same, applying the concept of ratios in various situations.

### Chapter 14 Factorisation

The factorisation of a polynomial is a very important tool that helps in simplifying various expressions. In this chapter, students learn an easy method to factorise many difficult polynomials. They also learn about irreducible factors to make the process more efficient.

- Factorisation Class 8 Ex 14.1
- Factorisation Class 8 Ex 14.2
- Factorisation Class 8 Ex 14.3
- Factorisation Class 8 Ex 14.4

### Chapter 15 Introduction to Graphs

As the title suggests, this chapter is a thorough introduction to the topic of graphs. It contains a brief overview of various kinds of graphs, like bar graphs, line graphs and histograms. The students also learn the terminology associated with graphs and come to know of the real world applications.

- Introduction to Graphs Class 8 Ex 15.1
- Introduction to Graphs Class 8 Ex 15.2
- Introduction to Graphs Class 8 Ex 15.3

### Chapter 16 Playing with Numbers

This is a fun chapter that improves the student’s intuition regarding numbers. In this chapter, the student learns about divisibility tests, reversing the digits of a number, etc.

Middle school is quite important in any student’s life, as that is when they learn their basics and build their fundamentals.

Math might prove especially difficult for most students, as they are now constantly exposed to new, difficult concepts. Hence it is important to not take any topic lightly and study diligently.

In the process, they might get stuck on some questions in the textbook. Here, we provide simple, easy-to-understand solutions for all the questions, so that there is no struggle.

We have tried to provide a brief overview of all the chapters in NCERT Solutions for Class 8 math. The answers provided contain easy, step-by-step solutions and we hope the students benefitted from it.