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NCERT Syllabus for Class 12 Maths 2025-26 - Download PDF

NCERT Syllabus for Class 12 Maths 2025-26 - Download PDF

Edited By Komal Miglani | Updated on May 27, 2025 12:16 AM IST

The syllabus of Mathematics has been changed many times over the past few years, therefore, it has become very crucial for us to get up to date with the syllabus as released by the Central Board of Secondary Education (CBSE). To get a good score in the board examination, a student needs to prepare according to the syllabus of Class 12 Maths. CBSE has released the syllabus for the academic year 2025-26 in March 2025. Here, in this article, we will provide you with the latest syllabus along with the marks distribution.

This Story also Contains
  1. NCERT Syllabus for Class 12 Maths 2025-26
  2. How to Download the NCERT Syllabus for Class 12 Maths 2025-26?
  3. Mark Distribution for Class 12 Maths
  4. Best Reference Books for Class 12 CBSE Maths
  5. NCERT Class 12 Syllabus 2025-26 for Other Subjects
NCERT Syllabus for Class 12 Maths 2025-26 - Download PDF
NCERT Syllabus for Class 12 Maths 2025-26 - Download PDF

The class 12 Maths syllabus is broad and contains various concepts divided into a wide spectrum of Mathematics. The NCERT syllabus for class 12 Maths is designed in such a way that even a student with less mathematical skills will be able to get a good score after solving the NCERT Class 12 Maths book. The class 12 Maths syllabus consists of topics such as relations and functions, matrices and determinants, inverse trigonometric functions, calculus, and probability.

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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. The NCERT Maths Books for Class 12 is published in two parts,

Title

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NCERT Maths Book for Class 12 - Part I

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NCERT Maths Book for Class 12 - Part II

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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 book. The students need to complete this NCERT syllabus class 12 Maths in time to perform well in the board exams as well as the upcoming entrance exams.

Unit - I

Chapter 1: Relations and Functions

  • Introduction
  • Types of Relations
  • Types of Functions
  • Composition of Functions and Invertible Functions

Chapter 2: Inverse Trigonometric Functions

  • Introduction
  • Basic Concepts
  • Properties of Inverse Trigonometric Functions

Unit - II

Chapter 3: Matrices

  • Introduction
  • Matrix
  • Types of Matrices
  • Operations on Matrices
  • Transpose of a Matrix
  • Symmetric and Skew-Symmetric Matrices
  • Invertible Matrices

Chapter 4: Determinants

  • Introduction
  • Determinant
  • Area of a Triangle
  • Minors and Cofactors
  • Adjoint and Inverse of a Matrix
  • Applications of Determinants and Matrices

Unit - III

Chapter 5: Continuity and Discontinuity

  • Introduction
  • Continuity
  • Differentiability
  • Exponential and Logarithmic Functions
  • Logarithmic Differentiation
  • Derivatives of Functions in Parametric Forms
  • Second Order Derivative

Chapter 6: Application of Derivatives

  • Introduction
  • Rate of Change of Quantities
  • Increasing and Decreasing Functions
  • Maxima and Minima

Chapter 7: Integrals

  • Introduction
  • Integration as an Inverse Process of Differentiation
  • Methods of Integration
  • Integrals of Some Particular Functions
  • Integration by Partial Functions
  • Integration by Parts
  • Definite Integral
  • Fundamental Theorem of Calculus
  • Evaluation of Definite Integrals by Substitution
  • Some Properties of Definite Integrals

Chapter 8: Application of Integrals

  • Introduction
  • Area under Simpler Curves

Chapter 9: Differential Equations

  • Introduction
  • Basic Concepts
  • General and Particular Solutions of a Differential Equation
  • Methods of Solving First-Order, First-Degree Differential Equations

Unit - IV

Chapter 10: Vector Algebra

  • Introduction
  • Some Basic Concepts
  • Types of Vectors
  • Addition of Vectors
  • Multiplication of Vectors
  • Product of Two Vectors

Chapter 11: Three-Dimensional Geometry

  • Introduction
  • Direction Cosines and Direction Ratios of a Line
  • Equation of Line in Space
  • Angle between Two Lines
  • Shortest Distance between Two Lines

Unit - V

Chapter 12: Linear Programming

  • Introduction
  • Linear Programming Problem and its Mathematical Formulation

Unit - VI

Chapter 13: Probability

  • Introduction
  • Conditional Probability
  • Multiplication Theorem on Probability
  • Independent Events
  • Bayes’ Theorem

How to Download the NCERT Syllabus for Class 12 Maths 2025-26?

Follow the step-by-step instructions given below to download the NCERT syllabus for class 12 maths 2025-26:

  • Visit the NCERT Official Website: Go to ncert.nic.in.

  • Navigate to the Syllabus Section:
    On the homepage, search 'Syllabus' in the search bar and click on it.
    Select 'Syllabus for Secondary and Higher Secondary Classes'.

  • Select the Appropriate Class and Subject:
    Select 'Mathematics(IX-XII)' from the list.

  • Download the Syllabus:
    Click on the link to open the syllabus PDF.
    Once opened, you can download and save it for future reference.

You can also simply click on the link below to directly download the PDF file:
Download NCERT syllabus for class 12 Maths 2025-26 PDF

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


Best Reference Books for Class 12 CBSE Maths

NCERT books are the foundation for CBSE Class 12 maths, which provide conceptual clarity and a syllabus overview. For additional practice and deeper understanding of the concepts, a student needs to refer to reference books. Also, these reference books prepare students for competitive exams like JEE. These books provide a variety of questions with higher-order difficulty level questions. So, it becomes very important for a student to follow good reference books after completing the NCERT book as well as the NCERT Exemplar for class 12 Maths. Here are some suggestions for some of the best reference books for Class 12 Maths:

  • R D Sharma Mathematics for Class 12
  • Mathematics for Class 12 with MCQs - R D Sharma
  • Mathematics for Class 12 by R S Aggarwal
  • Xam Idea Mathematics Class 12

Also check: NCERT books for Class 12 for all Subjects

NCERT Class 11 Maths syllabus is very crucial if you are looking for a bright career in the field of engineering. NCERT books give you a proper understanding of the concepts, whereas reference books, previous years' questions, and practice sets will help you to improve your command of the subject.

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.

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. 

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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 3.8×107 J 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

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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