CBSE Class 12 Math Formulas 2025-26 List | Chapter-wise PDF with Examples

Maths Formulas for Class 12 – Introduction

Mathematics in Class 12 is a crucial subject for students preparing for board exams, competitive exams like JEE, and further studies in science or commerce streams. Mastering formulas is the key to scoring well, as most questions in Class 12 Maths involve direct application of standard formulas.

To help you prepare effectively, we’ve compiled a chapter-wise list of CBSE Class 12 Maths formulas (2025-26) as per the latest syllabus. This guide includes all important formulas from NCERT chapters like Calculus, Algebra, Vectors, Probability, and more—along with 20 solved examples and revision tips. Whether you're a student looking to revise or a teacher preparing notes, this resource is designed to make formula learning easy and efficient.

Important CBSE Class 12 Mathematics Formulas

Here’s a quick snapshot of some of the most commonly used and high-weightage formulas in Class 12 Mathematics. These formulas are useful in multiple chapters and are essential for solving questions in both board and entrance exams like JEE Main.

Table: High-Utility Formulas in Class 12 Mathematics

These formulas serve as a foundation and will also appear again in detailed form under respective chapters.

List of CBSE Class 12 Chapter-wise Maths Formulas

Chapter 1: Relations and Functions

Key Concepts:

• Types of relations: reflexive, symmetric, transitive, equivalence.
• Types of functions: one-one, onto, bijective.
• Composition of functions and invertible functions.

Important Formulas:

Chapter 2: Inverse Trigonometric Functions

Key Concepts:

• Principal values
• Domain and range of inverse trig functions

Important Formulas:

Chapter 4: Determinants

Key Concepts:

• Properties of determinants
• Cofactors and adjoint
• Area of triangle using determinants

Important Formulas:

Unit III: Calculus

Chapter 5: Continuity and Differentiability

Key Concepts:

• Continuity at a point and over an interval
• Differentiability of functions
• Chain rule, derivatives of inverse trigonometric functions

Important Formulas:

Chapter 6: Applications of Derivatives

Key Concepts:

• Rate of change
• Increasing/decreasing functions
• Maxima and minima

Important Formulas:

Chapter 7: Integrals

Key Concepts:

• Indefinite and definite integrals
• Integration by substitution, parts, and partial fractions

Chapter 8: Applications of the Integrals

Key Concepts:

• Area under a curve
• Area between two curves

Chapter 9: Differential Equations

Key Concepts:

• General and particular solutions
• Order and degree
• Methods of solving: variable separable, linear

Unit IV: Vectors and Three-Dimensional Geometry

Chapter 10: Vectors

Key Concepts:

• Position vector, direction cosines
• Dot and cross product

Chapter 11: Three-Dimensional Geometry

Key Concepts:

• Direction cosines and ratios
• Equation of line and plane

Unit V: Linear Programming

Chapter 12: Linear Programming

Key Concepts:

• Linear constraints and objective function
• Graphical method for solving LPP

Unit VI: Probability

Chapter 13: Probability

Key Concepts:

• Conditional probability
• Bayes' Theorem
• Independent events

Important CBSE Class 12 Mathematics Formulas: Examples

Here are 20 handpicked examples based on frequently asked board exam and entrance exam questions. These show how to apply key formulas from each chapter:

How to Learn CBSE Class 12 Mathematics Formulas

Mastering Class 12 Maths formulas isn’t about memorization alone—it’s about understanding, consistent practice, and smart revision. Here are some proven tips to learn and retain formulas effectively:

Tips to Learn and Remember Maths Formulas

1. Understand the Derivation

• Don’t just memorize—try to grasp the logic behind formulas.
• For example, understand why d/dx(sin⁡ x) = cos⁡ x instead of just remembering it.

2. Create a Formula Handbook

• Maintain a chapter-wise notebook with important formulas.
• Highlight difficult formulas or mark them for extra practice.

3. Use Flashcards or Charts

• Make flashcards or stick visual formula charts on your study wall.
• Great for last-minute revision and visual memory.

4. Practice with Application

• Apply each formula in 2–3 questions right after learning.
• This cements both the logic and the use-case.

5. Revise Weekly

• Set a weekly routine to revise formulas from 2–3 chapters.
• Use mock tests and previous year papers to check how often formulas are asked.

6. Use Mnemonics or Memory Hooks

• Use tricks like “All Science Teachers Are Crazy” for Addition, Subtraction, Transpose, Adjoint, Cofactor in Matrices.

7. Practice Writing Without Looking

• Cover the formula and write it from memory to test yourself.

8. Solve Mixed Problems

• Don't just solve chapter-wise problems. Mix questions from different chapters so you're forced to recall the correct formula under pressure.

Bonus Tip:

Refer to the latest CBSE Syllabus 2025–26 and official sample papers for insight into frequently tested formulas.
🔗 Visit official CBSE website

Conclusion

Class 12 Mathematics forms the foundation for various academic and professional paths, including engineering, economics, and data science. Knowing formulas isn't just about exam preparation—it's about developing problem-solving skills for life.

This chapter-wise list of CBSE Class 12 Math Formulas (2025–26) is crafted to help you revise smarter, solve faster, and build confidence in your understanding. Whether you’re appearing for the board exam or preparing for JEE and CUET, focus on regular practice, clear understanding, and weekly revision.

Use this formula list as a quick-reference guide and pair it with your NCERT textbook and sample papers for best results.

‍