NCERT Syllabus for Class 12 Maths 2024

NCERT Syllabus for Class 12 Maths 2024 - Download PDF

Edited By Komal Miglani | Updated on Apr 09, 2025 10:04 AM IST

Mathematics is one of the most important subject of a class 12th student. The success in the class 12th examination depends on how well the student is able to understand the NCERT syllabus for class 12 Maths. Securing a minimum mandatory score in the class 12 board examination is critical for students to secure admission to the colleges of their choice. The class 12 Maths syllabus is broad and contains various concepts divided into a wide spectrum of Mathematics. For any student with less mathematical skills and less conceptual clarity, completing the NCERT syllabus for class 12 Maths might be difficult. But this does not mean that the students must be disheartened. With focus and willingness to learn new concepts, the students can complete the NCERT class 12 Maths syllabus for 2025-26.

This Story also Contains

NCERT Syllabus for Class 12 Maths 2025-26
NCERT Class 12 Syllabus 2025-26 for Other Subjects
Mark Distribution for Class 12 Maths
NCERT Class 12 Maths Books
NCERT Solutions for Class 12 Maths
NCERT Notes for Class 12 Maths

NCERT Syllabus for Class 12 Maths 2024 - Download PDF

The class 12 Maths syllabus consists of topics such as relation and functions, matrices and determinants, inverse trigonometric functions, calculus and probability and so on. Among the class 12 NCERT Maths syllabus, the calculus section is considered to be the most difficult. More insights and information into the NCERT Maths class 10 syllabus are discussed in the article in detail.

NCERT Syllabus for Class 12 Maths 2025-26

NCERT Syllabus for Class 12 Maths gives an outline of the concepts in the NCERT Maths Book for Class 12. NCERT Maths Books for Class 12 is published in two parts,

Title	Download Link
NCERT Maths Book for Class 12 - Part I	Download Now
NCERT Maths Book for Class 12 - Part II	Download Now

NCERT Maths Syllabus for Class 12 - Mathematics

The Class 12 Maths Syllabus consists of 6 units covering a total of 13 chapters in 2 parts of books. The students need to complete this NCERT syllabus class 12 Maths in time to perform well in the board exams as well as upcoming entrance exams.

Chapters	Topics
Unit - I
Chapter 1: Relations and Functions	1.1 Introduction 1.2 Types of Relations 1.3 Types of Functions 1.4 Composition of Functions and Invertible Functions
Chapter 2: Inverse Trigonometric Functions	2.1 Introduction 2.2 Basic Concepts 2.3 Properties of Inverse Trigonometric Functions
Unit - II
Chapter 3: Matrices	3.1 Introduction 3.2 Matrix 3.3 Types of Matrices 3.4 Operations on Matrices 3.5 Transpose of a Matrix 3.6 Symmetric and Skew Symmetric Matrices 3.7 Invertible Matrices
Chapter 4: Determinants	4.1 Introduction 4.2 Determinant 4.3 Area of a Triangle 4.4 Minors and Cofactors 4.5 Adjoint and Inverse of a Matrix 4.6 Applications of Determinants and Matrices
Unit - III
Chapter 5: Continuity and Discontinuity	5.1 Introduction 5.2 Continuity 5.3 Differentiability 5.4 Exponential and Logarithmic Functions 5.5 Logarithmic Differentiation 5.6 Derivatives of Functions in Parametric Forms 5.7 Second Order Derivative
Chapter 6: Application of Derivatives	6.1 Introduction 6.2 Rate of Change of Quantities 6.3 Increasing and Decreasing Functions 6.4 Maxima and Minima
Chapter 7: Integrals	7.1 Introduction 7.2 Integration as an Inverse Process of Differentiation 7.3 Methods of Integration 7.4 Integrals of Some Particular Functions 7.5 Integration by Partial Functions 7.6 Integration by Parts 7.7 Definite Integral 7.8 Fundamental Theorem of Calculus 7.9 Evaluation of Definite Integrals by Substitution 7.10 Some Properties of Definite Integrals
Chapter 8: Application of Integrals	8.1 Introduction 8.2 Area under Simpler Curves
Chapter 9: Differential Equations	9.1 Introduction 9.2 Basic Concepts 9.3 General and Particular Solutions of a Differential Equations 9.4 Methods of Solving First Order, First Degree Differential Equations
Unit - IV
Chapter 10: Vector Algebra	10.1 Introduction 10.2 Some Basic Concepts 10.3 Types of Vectors 10.4 Addition of Vectors 10.5 Multiplication of Vectors 10.6 Product of Two Vectors
Chapter 11: Three Dimensional Geometry	11.1 Introduction 11.2 Direction Cosines and Direction Ratios of a Line 11.3 Equation of Line in Space 11.4 Angle between Two Lines 11.5 Shortest Distance between Two Lines
Unit - V
Chapter 12: Linear Programming	12.1 Introduction 12.2 Linear Programming Problem and its Mathematical Formulation
Unit - VI
Chapter 13: Probability	13.1 Introduction 13.2 Conditional Probability 13.3 Multiplication Theorem on Probability 13.4 Independent Events 13.5 Bayes’ Theorem

NCERT Class 12 Syllabus 2025-26 for Other Subjects

Due to the fact that the preparation for the NCERT class 12 Maths exam is difficult and time-consuming, it is often observed that the class 12th students spend most of their time on completing the class 12 Maths syllabus. This approach is may negatively affect the scores of the candidates in the other subjects. The students should also devote time for completing the syllabus of the other subjects. For the reference of the students, the NCERT class 12th syllabus of the other subjects is given in the table below.

NCERT Syllabus for Class 12 Biology

NCERT Syllabus for Class 12 Physics

NCERT Syllabus for Class 12 English

NCERT syllabus for class 12 Biology

Mark Distribution for Class 12 Maths

The mark distribution for Class 12 Maths consists of 80 marks for Theory and 20 marks for Internal Assessment. The questions in the internal as well as the final examination will only be asked from the class 12 NCERT Maths syllabus.

Units	Marks
Unit - I	08
Unit - II	10
Unit - III	35
Unit - IV	14
Unit - V	05
Unit - VI	08
Total (Theory)	80
Internal Assessment	20

NCERT Class 12 Maths Books

CBSE prescribes the NCERT books to cover the entire syllabus of each subject. The NCERT class 12 Maths Book contains 13 chapters in 2 parts.

Best Reference Books for NCERT 11th Class Maths

Mathematics for Class 12 by RD Sharma
Mathematics for Class 12 by RS Agarwal

Check Other NCERT Books for Class 12

The NCERT Books for Class 12 contain the link to all the NCERT Books for Class 12. The subject-wise NCERT Books for Class 12 are

NCERT Book for class 12 Physics

NCERT Book for Class 12 Maths

NCERT Books for Class 12 Chemistry

NCERT Books for Class 12 Biology

NCERT Book for Class 12 Hindi

NCERT Solutions for Class 12 Maths

The NCERT Solutions for Class 12 Maths include solutions provided by subject matter experts at Careers360 for all the problems in all exercises of each chapter in the NCERT Class 12 Maths Book. To practice more problems with solutions, refer to NCERT Exemplar Solutions Class 12 Maths. The NCERT solutions for class 12 Maths are given in the table below.

NCERT Solutions for Class 12 Maths Chapter 1: Relations and Functions

NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 3: Matrices

NCERT Solutions for Class 12 Maths Chapter 4: Determinants

NCERT Solutions for Class 12 Maths Chapter 5: Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 6: Applications of Derivatives

NCERT Solutions for Class 12 Maths Chapter 7: Integrals

NCERT Solutions for Class 12 Maths Chapter 8: Applications of Integrals

NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations

NCERT Solutions for Class 12 Maths Chapter 10: Vector Algebra

NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry

NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming

NCERT Solutions for Class 12 Maths Chapter 13 Probability

NCERT Notes for Class 12 Maths

NCERT Notes for Class 12 Maths are one of the useful study resources to understand and learn the basic concepts of each chapter. It also helps with the revision during exams.

Frequently Asked Questions (FAQs)

1. What are the total number of units in the NCERT Class 12 Maths Syllabus?

The NCERT Class 12 Maths Syllabus is divided into 6 units with a total of 13 chapters. The Units in NCERT Class 12 Maths Syllabus are Relations and Functions, Algebra, Calculus, Vectors and Three Dimensional Geometry, Linear Programming and Probability.

2. Is there any change in the NCERT Maths syllabus for Class 12 this year?

Yes, there have been changes to the NCERT Class 12 Mathematics syllabus for the academic year 2025-2026. The Central Board of Secondary Education (CBSE) has revised the syllabus, continuing with a 30% reduction that was implemented in previous years.

3. Which chapters are included in the term-wise syllabus of Class 12 Maths?

In the 2025-2026 syllabus, the Central Board of Secondary Education (CBSE) has reverted to a single annual examination format for Class 12 Mathematics, discontinuing the term-wise (Term 1 and Term 2) division that was implemented in previous years.

4. Does the syllabus cover topics like Probability and Linear Programming?

Yes, the 2025-2026 syllabus consists of topics like Linear Programming and Probability in Chapters 12 and 13, respectively.

5. Are all topics from Class 11 required for understanding Class 12 Maths?

Yes, It is important to understand all the topics in the Class 11 syllabus as it acts as the basis for the topics covered in Class 12 Maths.

Also Read

NCERT Class 12 Physics Chapter 6 Notes, Electromagnetic Induction Class 12 Chapter 6 Notes

NCERT Class 12 Physics Chapter 5 Notes, Magnetism and Matter Class 12 Chapter 5 Notes

NCERT Class 12 Physics Chapter 4 Notes, Moving Charges and Magnetism Class 12 Chapter 4 Notes

NCERT Class 12 Physics Chapter 3 Notes, Current Electricity Class 12 Chapter 3 Notes

NCERT Class 12 Maths Chapter 4 Notes, Determinants Class 12 Chapter 4 Notes

NCERT Class 12 Maths Chapter 3 Notes, Matrices Class 12 Chapter 3 Notes

NCERT Syllabus 2025-26 for Class 6-12 - Download All Subjects PDF Free

NCERT Book Class 12 Physics 2025-26 FREE PDF Download

NCERT Book Class 12 English 2025-26 Free PDF Download

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NCERT Book Class 12 Maths 2025-26 PDF Free Download

NCERT Books for Class 12 Biology 2025-26: Download Free PDF

NCERT Books for Class 12 - Download All Subjects PDFs Here

NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry

NCERT Solutions for Miscellaneous Exercise Chapter 7 Class 12 - Integrals

NCERT Solutions for Exercise 4.1 Class 11 Maths Chapter 4 - Principle of Mathematical Induction

NCERT Exemplar Class 12 Physics Solutions Chapter 8 Electromagnetic Waves

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Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up ? Fat supplies 3.8×10⁷J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms⁻² :

Option 1)

2.45×10⁻³ kg

Option 2)

6.45×10⁻³ kg

Option 3)

9.89×10⁻³ kg

Option 4)

12.89×10⁻³ kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

A particle is projected at 60⁰ to the horizontal with a kinetic energy $K$ . The kinetic energy at the highest point

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

In the reaction,

$2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, $Mg_{3}(PO_{4})_{2}$ will contain 0.25 mole of oxygen atoms?

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol^-1) is

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t²) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m² , the number of rotations made by the pulley before its direction of motion if reversed, is