## A Basic Introduction to Class 10 Maths Index

We all enjoy Maths both as a subject as well as a learning point of view. It always tests our application capabilities and makes us good problem solvers. In Class 10th, Maths takes some interesting turns as a subject by adding some new chapters such as trigonometry. In this article, we are going to learn about the chapters present in Class 10th Maths NCERT in detail. The NCERT Maths book for Class 10 has its index given below.

## Chapters

Class 10 Maths all chapter names are given below with proper description of sub topics.

## Chapter - 1: Real Numbers

1.1 Introduction

1.2 Euclid’s Division Lemma

1.3 The Fundamental Theorem of Arithmetic

1.4 Revisiting Irrational Numbers

1.5 Revision of Rational Numbers with Their Decimal Expansions

1.6 Summary

## Chapter - 2: Polynomials

2.1 Introduction

2.2 Zeroes of a Polynomial - Geometrical Meaning

2.3 Relationship between Zeroes and Coefficients of a Polynomial

2.4 Division Algorithm for Polynomials

2.5 Summary

## Chapter - 3: Pair of Linear Equations in Two Variables

3.1 Introduction

3.2 A Pair of Linear Equations in Two Variables

3.3 Graphical Method Solution for a Pair of Linear Equations

3.4 Algebraic Methods of Solving a Pair of Linear Equations

3.4.1 Substitution Method

3.4.2 Elimination Method

3.4.3 Cross-Multiplication Method

3.5 Equations Reducible to a Pair of Linear Equations in Two Variables

3.6 Summary

## Chapter - 4: Quadratic Equations

4.1 Introduction

4.2 Quadratic Equations

4.3 Solving a Quadratic Equation using Factorisation

4.4 Solution of a Quadratic Equation by Completing the Square

4.5 Nature of Roots

4.6 Summary

## Chapter - 5: Arithmetic Progressions

5.1 Introduction

5.2 Arithmetic Progressions

5.3 nth term of an AP

5.5 The Sum of First n terms of an AP

5.6 Summary

## Chapter - 6: Triangles

6.1 Introduction

6.2 Similar Figures

6.3 Similarity of Triangles

6.4 Criteria for Similarity of Triangles

6.5 Areas of Similar Triangles

6.6 Pythagoras Theorem

6.7 Summary

## Chapter - 7: Coordinate Geometry

7.1 Introduction

7.2 Distance Formula

7.3 Section Formula

7.4 Area of a Triangle

7.5 Summary

## Chapter - 8: Introduction to Trigonometry

8.1 Introduction

8.2 Trigonometric Ratios

8.3 Trigonometric Ratios of Some Specific Angles

8.4 Trigonometric Ratios of Complementary Angles

8.5 Trigonometric Identities

8.6 Summary

## Chapter - 9: Some Applications of Trigonometry

9.1 Introduction

9.2 Heights and Distances

9.3 Summary

## Chapter - 10: Circles

10.1 Introduction

10.2 Tangent to a Circle

10.3 The Number of Tangents from a Point on a Circle

10.4 Summary

## Chapter - 11: Constructions

11.1 Introduction

11.2 Division of a Line Segment

11.3 Construction of Tangents to a Circle

11.4 Summary

## Chapter - 12: Areas Related to Circles

12.1 Introduction

12.2 Area and Perimeter of a Circle — A Review

12.3 Areas of Segment and Sector of a Circle

12.4 Areas of Combinations of Plane Figures

12.5 Summary

## Chapter - 13: Surface Areas and Volumes

13.1 Introduction

13.2 Surface Area of a Combination of Solids

13.3 Volume of a Combination of Solids

13.4 Conversion of Solid from One Shape to Another

13.5 Frustum of a Cone

13.6 Summary

## Chapter - 14: Statistics

14.1 Introduction

14.2 Mean of Grouped Data

14.3 Mode of Grouped Data

14.4 Median of Grouped Data

14.5 Graphical Representation of Cumulative Frequency Distribution

14.6 Summary

## Chapter - 15: Probability

15.1 Introduction

15.2 Probability — A Theoretical Approach

15.3 Summary

## Appendix

### Appendix A1: Proofs in Mathematics

A1.1 Introduction

A1.2 Mathematical Statements Revisited

A1.3 Deductive Reasoning

A1.4 Conjectures, Theorems, Proofs, and Mathematical Reasoning

A1.5 Negation of a Statement

A1.6 Converse of a Statement

A1.7 Proof by Contradiction

A1.8 Summary

### Appendix A2: Mathematical Modelling

A2.1 Introduction

A2.2 Stages in Mathematical Modelling

A2.3 Some Illustrations

A2.4 Why is Mathematical Modelling Important?

A2.5 Summary

## Answers and Hints

This part of Class 10 Maths NCERT consists of solutions of the exercises from each chapter and hints for difficult questions.

## Conclusion

There are fifteen chapters in Class 10 Maths NCERT along with two appendices and solutions and hints for all chapters. The chapters include real numbers, polynomials, pair of linear equations in two variables, quadratic equations, arithmetic progressions, triangles, coordinate geometry, introduction to trigonometry, some applications of trigonometry, circles, constructions, circles and areas related to them, volumes and surface areas, probability, and statistics. Appendix is divided into two parts, i.e., A1 and A2, which are proofs in Mathematics and mathematical modelling, respectively.

## FAQs on Class 10 Maths Index with Chapter Names and Numbers

**1. How many units are there in Class 10 Maths NCERT?**

There are seven units in 10th class maths textbook index which include fifteen chapters. The first unit is number system which includes one chapter, second is algebra which includes four chapters, third is trigonometry which includes two chapters, fourth is coordinate geometry which includes one chapter, fifth is geometry which includes two chapters, sixth is menstruation which includes two chapters, and seventh is statistics and probability. Other than these seven units, Class 10 Maths NCERT is provided with two appendix exercises and solutions of all the chapter’s exercises.

**2. List all the chapters present in Class 10 Maths index NCERT.**

**The list of all the chapters present in maths index class 10 is given below:**

Chapter-1: Real numbers

Chapter-2: Polynomials

Chapter-3: Pair of linear equations in two variables

Chapter-4: Quadratic equations

Chapter-5: Arithmetic progressions

Chapter-6: Triangles

Chapter-7: Coordinate geometry

Chapter-8: Introduction to trigonometry

Chapter-9: Some applications of trigonometry

Chapter-10: Circles

Chapter-11: Constructions

Chapter-12: Areas related to circles

Chapter-13: Surface areas and volumes

Chapter-14: Statistics

Chapter-15: Probability

Along with these four chapters, there are two appendix exercises named A1 and A2.

**3. What are the main chapters for Maths Class 10? **

In Class 10 Maths, all the chapters are equally important to understand for building a good concept base. But according to the weightage of the chapters, algebra which includes four chapters, coordinate geometry which includes one chapter and coordinate geometry which includes one chapter have highest marks. For higher classes, introduction to trigonometry is also very important as the main chapters for class 11^{th} and 12^{th} are based on the concepts of trigonometry only.