## Mathematics has an important role in our life, it not only helps in day-to-day situations but also develops logical reasoning, abstract thinking and imagination. It enriches life and provides new dimensions to thinking. The struggle to learn abstract principles develops the power to formulate and understand arguments and the capacity to see interrelations among concepts. The enriched understanding helps us deal with abstract ideas in other subjects as well. It also helps us understand and make better patterns, maps, appreciate area and volume and see similarities between shapes and sizes. The scope of Mathematics includes many aspects of our life and our environment. This relationship needs to be brought out at all possible places.

## NCERT Solutions for Class 8 Maths for all the exercises from Chapters 1 to 15 are provided here.

## Chapter 1

## Rational Numbers

1.1 Introduction

1.2 Properties of Rational Numbers

1.3 Representation of Rational Numbers on the Number Line

1.4 Rational Number between Two Rational Numbers

## Chapter 4

## Practical Geometry

4.1 Introduction

4.2 Constructing a Quadrilateral

4.3 Some Special Cases

## Chapter 10

## Visualizing Solid Shapes

10.1 Introduction

10.2 View of 3D-Shapes

10.3 Mapping Space Around Us

10.4 Faces, Edges and Vertices

## Chapter 13

## Direct and Inverse Proportions

13.1 Introduction

13.2 Direct Proportion

13.3 Inverse Proportion

## Chapter 16

## Playing with Numbers

16.1 Introduction

16.2 Numbers in General Form

16.3 Game with Numbers

16.4 Letters for Digits

16.5 Test of Divisibility

## Chapter 2

## Linear Equations in One Variable

2.1 Introduction

2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the other Side

2.3 Some Applications

2.4 Solving Equations having the Variable on both sides

2.5 Some More Applications

2.6 Reducing Equations to Simpler Form

2.7 Equations Reducible to the Linear Form

## Chapter 5

## Data Handling

5.1 Looking for Information

5.2 Organising Data

5.3 Grouping Data

5.4 Circle Graph or Pie Chart

5.5 Chance and Probability

## Chapter 8

## Comparing Quantities

8.1 Recalling Ratios and Percentages

8.2 Finding the Increase and Decrease Percent

8.3 Finding Discounts

8.4 Prices Related to Buying and Selling (Profit and Loss)

8.5 Sales Tax/Value Added Tax/Goods and Services Tax

8.6 Compound Interest

8.7 Deducing a Formula for Compound Interest

8.8 Rate Compounded Annually or Half Yearly (Semi Annually)

8.9 Applications of Compound Interest Formula

## Chapter 11

## Mensuration

11.1 Introduction

11.2 Let us Recall

11.3 Area of Trapezium

11.4 Area of General Quadrilateral

11.5 Area of Polygons

11.6 Solid Shapes

11.7 Surface Area of Cube, Cuboid and Cylinder

11.8 Volume of Cube, Cuboid and Cylinder

11.9 Volume and Capacity

## Chapter 14

## Factorization

14.1 Introduction

14.2 What is Factorisation?

14.3 Division of Algebraic Expressions

14.4 Division of Algebraic Expressions Continued (Polynomial / Polynomial)

14.5 Can you Find the Error?

## Chapter 3

## Understanding Quadrilaterals

3.1 Introduction

3.2 Polygons

3.3 Some of the Measures of the Exterior Angles of a Polygon

3.4 Kinds of Quadrilaterals

3.5 Some Special Parallelograms

## Chapter 6

## Squares and Square Roots

6.1 Introduction

6.2 Properties of Square Numbers

6.3 Some More Interesting Patterns

6.4 Finding the Square of a Number

6.5 Square Roots

6.6 Square Roots of Decimals

6.7 Estimating Square Root

## Chapter 9

## Algebraic Expressions and Identities

9.1 What are Expressions?

9.2 Terms, Factors and Coefficients

9.3 Monomials, Binomials and Polynomials

9.4 Like and Unlike Terms

9.5 Addition and Subtraction of Algebraic Expressions

9.6 Multiplication of Algebraic Expressions: Introduction

9.7 Multiplying a Monomial by a Monomial

9.8 Multiplying a Monomial by a Polynomial

9.9 Multiplying a Polynomial by a Polynomial

9.10 What is an Identity?

9.11 Standard Identities

9.12 Applying Identities

## Chapter 12

## Exponents and Powers

12.1 Introduction

12.2 Powers with Negative Exponents

12.3 Laws of Exponents

12.4 Use of Exponents to Express Small Numbers in Standard Form

## Chapter 15

## Introduction to Graphs

15.1 Introduction

15.2 Linear Graphs

15.3 Some Applications