Home Class 12 Maths

CBSE Class 12 Mathematics Preparation Hub

Select study resources below including Chapter Notes, NCERT Solutions, Worksheets, and practice tests.
13 Chapters 100% Free Solutions 10+ Yrs PYQs 6 Unit Tests 6 Full Mock Papers Formula Guide
All 13 Chapters
Select a Chapter to Open Notes & Resources Hover or tap NCERT, PYQs & Test for options
Chapter 01 Unit 1: Relations and Functions

Relations and Functions

The Mirror, Twin, and Chain (Types of Relations) The Archer's Range (Types of Functions) The Assembly Line (Composite Functions)
Notes NCERT PYQs Test
Chapter 02 Unit 1: Relations and Functions

Inverse Trigonometric Functions

The Restricted Zone (Principal Value Branches) The Mirror Properties (Self-Cancelling & Negatives) The Identity Shifts (Complementary Relations)
Notes NCERT PYQs Test
Chapter 03 Unit 2: Algebra

Matrices

The Grid System (Order, Types, & Equality) Matrix Arithmetic (Addition & Dot Products) The Mirror Transpose (Symmetric & Skew)
Notes NCERT PYQs Test
Chapter 04 Unit 2: Algebra

Determinants

The Matrix Value (Expansions & Properties) Areas & Collinearity (Geometry Connections) Adjoint & The Inverse Path (Flipping the Grid)
Notes NCERT PYQs Test
Chapter 05 Unit 3: Calculus

Continuity and Differentiability

The Limit Break (Continuity) The Chain Rule & Inverse Trigs Implicit Differentiation Logarithmic & Exponential Forms
Notes NCERT PYQs Test
Chapter 06 Unit 3: Calculus

Applications of Derivatives

Rate of Change of Quantities Increasing & Decreasing Functions Maxima & Minima
Notes NCERT PYQs Test
Chapter 07 Unit 3: Calculus

Integrals

Integration as Inverse Process Method of Substitution Trigo Identity Substitution Definite Integrals (FTC)
Notes NCERT PYQs Test
Chapter 08 Unit 3: Calculus

Applications of Integrals

Area under Simple Curves Area of Circles & Ellipses Area between Line and Curve
Notes NCERT PYQs Test
Chapter 09 Unit 3: Calculus

Differential Equations

Order and Degree General and Particular Solutions Variable Separable Method Homogeneous Equations
Notes NCERT PYQs Test
Chapter 10 Unit 4: Vectors and 3D Geometry

Vector Algebra

Basics of Vectors Types of Vectors Vector Operations Scalar (Dot) Product
Notes NCERT PYQs Test
Chapter 11 Unit 4: Vectors and 3D Geometry

Three Dimensional Geometry

Direction Cosines & Ratios Equation of a Line Angle between Lines Shortest Distance (Skew Lines)
Notes NCERT PYQs Test
Chapter 12 Unit 5: Linear Programming

Linear Programming

LPP Terminology Graphical Method (Bounded) Graphical Method (Unbounded) Formulation of LPP
Notes NCERT PYQs Test
Chapter 13 Unit 6: Probability

Probability

Conditional Probability Multiplication Theorem Independent Events Bayes' Theorem & Total Probability
Notes NCERT PYQs Test
Unit Mastery

Class 12 Maths Unit-Wise Board Practice Tests

Unit-by-unit board preparation tests with Basic, Standard, and Advanced HOTS difficulty levels.

Unit 01 08 Marks

Relations and Functions

Chapter 1 (Relations & Functions) and Chapter 2 (Inverse Trigonometric Functions).

Basic Standard HOTS
Unit 02 10 Marks

Algebra

Chapter 3 (Matrices) and Chapter 4 (Determinants, Adjoints & Matrix Equations).

Basic Standard HOTS
Unit 03 35 Marks

Calculus

Continuity, Derivatives, Applications of Derivatives, Integrals, AOI, and Differential Equations.

Basic Standard HOTS
Unit 04 14 Marks

Vectors & 3D Geometry

Chapter 10 (Vector Algebra) and Chapter 11 (Three Dimensional Geometry Lines & Planes).

Basic Standard HOTS
Unit 05 & 06 13 Marks

Linear Programming & Probability

Chapter 12 (LPP Optimization) and Chapter 13 (Conditional Probability, Bayes Theorem & Distributions).

LPP Test Probability
Board Simulation

Class 12 Maths Full Board Mock Papers

Official 80-mark, 3-hour CBSE board simulation mock exams with detailed step-by-step marking scheme solutions.

CBSE Board Mock - 01

Complete Class 12 CBSE board exam standard practice paper with solutions.

80 Marks 3 Hours 38 Questions
Start Mock Paper 1

CBSE Board Mock - 02

Focused on high-weightage Calculus and 3D Geometry problem-solving.

80 Marks 3 Hours 38 Questions
Start Mock Paper 2

CBSE Board Mock - 03

Case-study intensive mock exam designed for top percentile scoring.

80 Marks 3 Hours 38 Questions
Start Mock Paper 3

CBSE Board Mock - 04

Comprehensive test paper covering all previous years high-frequency board questions.

80 Marks 3 Hours 38 Questions
Start Mock Paper 4
More board practice

Class 12 Maths Sample Papers

Open the sample-paper collection for full-length board practice sets.

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Frequently Asked Questions

What is the best way to prepare for Class 12 Maths board exams?

Click any chapter above to open its dedicated learning page. There you will find 5 pedagogical tabs: Chapter Notes, NCERT Solutions, Worksheets, PYQs, and Chapter Tests.

Are the Class 12 Maths notes, solutions, and tests free?

Yes, all study resources on SJMaths—including chapter notes, NCERT solutions, worksheets, PYQs, unit tests, and mock papers—are 100% free for all students.

Does SJMaths cover the latest CBSE syllabus for Class 12?

Yes, all resources are structured as per the latest NCERT syllabus and CBSE guidelines, making them ideal for standard Mathematics board exams.