1. Real Numbers
- Introduction
 - The Fundamental Theorem of Arithmetic
 - Revisiting Irrational Numbers
 - Summary
 - EXERCISE 1.1 - Solutions
 - EXERCISE 1.2 - Solutions
 - Practice Questions with Solutions
 
2. Polynomials
- Introduction
 - Terms used in Algebraic expression
 - Some Key components of an algebraic expression
 - BODMAS /PEMDAS Rules
 - Linear polynomial
 - Quadratic Polynomial
 - Cubic Polynomial
 - Geometrical Meaning of the Zeroes of a Polynomial
 - Zeros of a Polynomial
 - The value of a polynomial
 - Equations representation on a Graph
 - Geometrical Representation of a Linear Polynomial
 - Geometrical Representation of a Quadratic Polynomial
 - Find the vertex
 - Three possible zeroes
 - Relationship between Zeroes and Coefficientsof a Polynomial
 - Relationship between Zeroes and Coefficients of a Linear Polynomial
 - The sum of the reciprocals of the zeros
 - Relationship between Zeroes and Coefficients of a Quadratic Polynomial
 - By using Viète's Formulas
 - By using the Quadratic Formula
 - Discriminant
 - Difference between both methods
 - Relationship between Zeroes and Coefficients of a Cubic Polynomial
 - The sum of the reciprocals of the zeros
 - Summary
 - Exercise 2.1
 - Exercise 2.2
 - Practice Questions with Solutions
 
3. Pair of Linear Equations in Two Variables
- Graphical Method of Solution of a Pair of LinearEquations
 - Exercise 3.1
 - Algebraic Methods of Solving a Pair of LinearEquations
 - Substitution Method
 - Exercise 3.2
 - Elimination Method
 - Exercise 3.3
 - Summary
 - Practice Questions with Solutions
 
4. Quadratic Equations
- Introduction
 - Quadratic Formula
 - Solution of a Quadratic Equation by Factorisation
 - Nature of Roots
 - Examples
 - Exercise 4.1
 - Exercise 4.2
 - Exercise 4.3
 - Summary
 - Practice Questions with Solutions
 
5. Arithmetic Progressions
- Introduction
 - Rationalised 2023-24
 - Arithmetic Progressions
 - nth Term of an AP
 - Sum of First n Terms of an AP
 - Summary
 - Exercise 5.1
 - Exercise 5.2
 - Exercise 5.3
 - Exercise 5.4 * Optional
 - Practice Questions with Solutions
 
6. Triangles
- Introduction
 - Similar Figures
 - Similarity of Triangles
 - Criteria for Similarity of Triangles
 - Summary
 - Exercise 6.1
 - Exercise 6.2
 - Exercise 6.3
 - Practice Questions with Solutions
 
7. Coordinate Geometry
- Introduction
 - Distance Formula
 - Section Formula
 - Summary
 - Exercise 7.1
 - Exercise 7.2
 - Practice Questions with Solutions
 
8. Introduction to Trigonometry
- Introduction
 - Trigonometric Ratios
 - Trigonometric Ratios of Some Specific Angles
 - Trigonometric Identities
 - Summary
 - Examples
 - Exercise 8.1
 - Exercise 8.2
 - Exercise 8.3
 - Practice Questions with Solutions
 
9. Some Applications of Trigonometry
- Heights and Distances
 - Summary
 - Exercise 9.1
 - Practice Questions with Solutions
 
- Introduction
 - Tangent to a Circle
 - Number of Tangents from a Point on a Circle
 - Summary
 - Practice Questions with Solutions
 
11. Areas Related to Circles
- Areas of Sector and Segmentk of a Circle
 - Summary
 - Rationalised 2023-24
 - Exercise 11.1
 - Practice Questions with Solutions
 
12. Surface Areas and Volumes
- Introduction
 - Surface Area of a Combination of Solids
 - Volume of a Combination of Solids
 - Summary
 - Examples
 - Exercise 12.1
 - Exercise 12.2
 - Practice Questions with Solutions
 
13. Statistics
- Introduction
 - Mean of Grouped Data
 - Mode of Grouped Data
 - Median of Grouped Data
 - Summary
 - Practice Questions with Solutions
 
14. Probability
- Probability — A Theoretical Approach
 - Summary
 - Practice Questions with Solutions
 
Appendix A1: Proofs in Mathematics
- Introduction
 - Mathematical Statements Revisited
 - Deductive Reasoning
 - Conjectures, Theorems, Proofs and Mathematical Reasoning
 - Negation of a Statement
 - Converse of a Statement
 - Proof by Contradiction
 - Summary
 - Practice Questions with Solutions
 
Appendix A2: Mathematical Modelling
- Introduction
 - Stages in Mathematical Modelling
 - Some Illustrations
 - Why is Mathematical Modelling Important?
 - Summary