Class 10 Maths Index with Chapter Names and Numbers

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.