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# Class 10 Maths Index with Chapter Names and Numbers

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Last updated date: 12th Sep 2024
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## 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.

Competitive Exams after 12th Science

## 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 11th and 12th are based on the concepts of trigonometry only.