CBSE Class 12 Mathematics Syllabus 2024-25: Check Course Structure, Weightage & Deleted Topics
Content Writer | Updated On - Oct 31, 2025
Class 12 Mathematics syllabus 2024-25 has been released on the official website. Students can download the pdf from the link provided below.
The CBSE Class 12 Maths Syllabus aims to provide students with an understanding of basic mathematical concepts as well as their application. The syllabus is structured into six units: Relations and Functions, Algebra, Calculus, Vectors and Three-Dimensional Geometry, Linear Programming, and Probability.
- The theory paper is of 80 marks while the internal assessment carries 20 marks.
- Calculus carries the maximum weightage of 35 marks out of 80 marks.
- To pass the exam, students need to score a minimum of 33%.
Also Check: CBSE Class 12 English Syllabus 2024-25
- Class 12 Mathematics Syllabus 2024-25: What’s New?
1.1 Why Go Through Class 12th Maths Portion Before Preparation?
- What Is Class 12 Maths Syllabus 2024-25 Course Structure?
- What Is Maths Class 12 Syllabus Chapter-Wise?
3.1 Deleted Topics Of Class 12 Maths Syllabus 2024-25
- What Is Chapter-Wise Weightage Of Class 12 Maths Syllabus?
4.1 Which Unit Has The Highest Weightage?
- What Is Class 12 Maths Question Paper Design?
5.1 What Is Class 12 Maths Exams Mark Distribution?
- How To Prepare For Class 12 Mathematics Exam?
6.1 Prescribed Books For Maths Class 12 Syllabus Chapter-Wise
6.2 Tips to Score 80 Marks In Class 12 Maths Exam
- FAQs
Class 12 Mathematics Syllabus 2024-25: What’s New?
- The number of units has been increased from five to six.
- Increased focus on problem-solving skills
- Several new topics have been added, such as matrices, determinants, and inverse trigonometric functions.
- Removal of some topics, such as sets and relations.
- A greater emphasis on applications of mathematics.
Why Go Through Class 12th Maths Portion Before Preparation?
- It is quite important to go through the syllabus before starting the preparation so that students can prepare a study plan based on the syllabus.
- They can also get an idea about the purpose of the course and how to score good marks in the subject.
- A piece of knowledge about Class 12th Maths Portion beforehand also makes it easy for the students to prepare a course calendar for them. They can invest time in different topics and assignments based on that.
What Is Class 12 Maths Syllabus 2024-25 Course Structure?
The table below shows the course structure and the distribution of marks in the updated Maths Syllabus of 2024-25.
| S.No. | Unit Name | Periods | Marks |
|---|---|---|---|
| I | Relations and Functions | 30 | 08 |
| II | Algebra | 50 | 10 |
| III | Calculus | 80 | 35 |
| IV | Vectors and Three-Dimensional Geometry | 30 | 14 |
| V | Linear Programming | 20 | 05 |
| VI | Probability | 30 | 08 |
| VII | Internal Assessment | - | 20 |
| TOTAL | 240 | 100 | |
What Is Maths Class 12 Syllabus Chapter-Wise?
Check out the table below for a breakdown of the Maths Class 12 Syllabus Chapter-Wise.
| UNITS |
|---|
| Unit-I: Relations and Functions |
| 1. Relations and Functions - Types of relations: reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions. |
| 2. Inverse Trigonometric Functions - Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions |
| Unit-II: Algebra |
| 1. Matrices - Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication, and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restricted to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). |
| 2. Determinants - Determinants of a square matrix (up to 3 x 3 matrices), minors, co-factors, and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency, and number of solutions of a system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using the inverse of a matrix. |
| Unit-III: Calculus |
| 1. Continuity and Differentiability - Continuity and differentiability, chain rule, a derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation is a derivative of functions expressed in parametric forms. Second-order derivatives. |
| 2. Applications of Derivatives - Applications of Derivatives: rate of change of quantities, increasing/decreasing functions, maxima, and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). |
| 3. Integrals - Integration is the inverse process of differentiation. Integration of a variety of functions by substitution, partial fractions, and parts, Evaluation of simple integrals of the following types and problems based on them. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. |
| 4. Applications of the Integrals - Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only) |
| 5. Differential Equations - Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: |
| Unit-IV: Vectors and Three-Dimensional Geometry |
| 1. Vectors - Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel, and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors. |
| 2. Three-dimensional Geometry - Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. The angle between two lines. |
| Unit-V: Linear Programming |
| Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |
| Unit-VI: Probability |
| Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, mean of a random variable. |
Deleted Topics Of Class 12 Maths Syllabus 2024-25
There are a few topics, examples, and even entire chapters that are no longer part of the curriculum. The table below shows the math deleted syllabus class 12, so you and your teachers can focus on the most relevant material for your exams.
| Unit Name | Chapter Name | Deleted Topics |
|---|---|---|
| Relations and Functions | Relations and Functions | Composite functions, Inverse of a function |
| Relations and Functions | Inverse Trigonometric Functions | Elementary properties of inverse trigonometric functions |
| Algebra | Matrices | Concept of elementary row and column operations |
| Algebra | Determinants | Properties of determinants |
| Calculus | Continuity and Differentiability | Derivative of a composite function |
| Calculus | Applications of Derivatives | Tangents and normals, Use of derivatives in approximation |
| Calculus | Integrals | Definite integrals as a limit of a sum |
| Calculus | Applications of Integrals | The area between any of the two above-said curves |
| Vectors and Three-Dimensional Geometry | Vectors | Scalar triple product of vectors |
| Vectors and Three-Dimensional Geometry | Three-dimensional Geometry | Coplanar lines, Cartesian and vector equation of a plane, Angle between two lines, two planes, a line and a plane, Distance of a point from a plane |
| Linear Programming | Linear Programming | Different types of linear programming (L.P.) problems, The mathematical formulation of L.P. problems |
| Probability | Probability | Variance of random variable |
Students can also check the number of pages and the number of questions that have been deleted from the table given below.
| Chapter | Page No. | Dropped Topics/Chapters |
|---|---|---|
| 7. Integrals | 290–291, 291–292, 298–299, 613–616 | 7.2.1 Geometrical Interpretation of Indefinite Integral, 7.2.3 Comparison between Differentiation and Integration, 7.6.3 Type of Integral, 7.7.1 Definite Integral as the Limit of a Sum |
| 7. Integrals | - | Ques. 19, 32, 40, and 44 (Exercise 7.1), Point 2 in the Summary, (xiv) and (xv) in Some Standard Integrals |
| 8. Application of Integrals | 363–365, 366–372, 373–376, 377 | 8.2.1 The Area of the Region Bounded by a Curve and a Line, Ques. 3 and 6–11 (Exercise 8.1) |
| 8. Application of Integrals | - | 8.3 Area between Two Curves (Examples 11, 13, and 14), Ques. 2–3, 6–7, 8–15, 18–19 (Miscellaneous Exercise), Last Two Points of the Summary |
| 9. Differential Equations | 385–391, 415–416, 420–422 | 9.4 Formation of Differential Equations whose General Solution is Given (Example 25), Ques. 3, 5, and 15 (Miscellaneous Exercise), Point Six of the Summary |
| 10. Vector Algebra | 616–619, 619–622 | 10.7 Scalar Triple Product, 10.7.1 Coplanarity of Three Vectors |
| 11. Three-Dimensional Geometry | 465, 469–471, 477–478, 479–497, 497–499, 500–501, 502–503 | 11.2.1 Relation between the Direction Cosines of a Line, 11.3.2 Equation of a Line Passing through Two Given Points (Ques. 8–9 in Exercise 11.2) |
| 11. Three-Dimensional Geometry | - | 11.6 Plane, 11.7 Coplanarity of Two Lines, 11.8 Angle between Two Planes, 11.9 Distance of a Point from a Line, 11.10 Angle between a Line and a Plane, Ques. 1, 2, 5, 7–8, 10–19, 21–23 (Miscellaneous Exercise), Summary Points 13, 20–24 |
| 12. Linear Programming | 514–527, 528–529 | 12.3 Different Types of Linear Programming Problems (Summary Points 2–9) |
| 13. Probability | 557–558, 558–559, 559–564, 565–571, 572–578, 579–581, 583, 585–586 | 13.6 Random Variables and Its Probability Distributions (Examples 22 and 23), 13.6.1 Probability Distribution of a Random Variable, 13.6.2 Mean of Random Variables, 13.6.3 Variance of a Random Variable, 13.7 Bernoulli Trials and Binomial Distribution (Example 34 and 35), Ques. 5–7, 9–11 (Miscellaneous Exercise), Last 3 Points of the Summary |
| Answers | 594, 596–599, 601, 604–612 | Answers of Exercises 7.1, 8.1, 11.1 & 13.1 |
What Is Chapter-Wise Weightage Of Class 12 Maths Syllabus?
| Chapters | Marks |
|---|---|
| Relations and Functions | 08 |
| Algebra | 10 |
| Calculus | 35 |
| Vectors and Three-Dimensional Geometry | 14 |
| Linear Programming | 05 |
| Probability | 08 |
| Total | 80 |
| Internal Assessment | 20 |
| Grand Total | 100 |
Which Unit Has The Highest Weightage?
In the CBSE Class 12 Maths Syllabus, there are a total of 6 units. Unit 3 Calculus of Maths has the highest weightage of 35 marks. Many students find calculus a difficult topic, but it's not true. Students can make their grasp strong over calculus by understanding the concepts and practising questions given in the NCERT book. Solve previous year's question papers of the board exams. Calculus is not only an important topic of board exams but is also important from the competitive exams' point of view. So this chapter must not be taken lightly.
Internal Assessment
The details of the internal assessment are given in the table below.
| Component | Marks |
|---|---|
| Periodic Tests (Best 2 out of 3) | 10 |
| Mathematics Activities | 10 |
Periodic Tests
A periodic test is a paper assessment conducted by the respective subject teacher. The format of the periodic test must have question items with a balanced mix, such as very short answer (VSA), short answer (SA), and long answer (LA) to effectively assess the knowledge, understanding, application, skills, analysis, evaluation, and synthesis. Depending on the nature of the subject, the subject teacher will have the liberty of incorporating any other types of questions too.
The modalities of the PT are given below.
- Mode - The periodic test is to be taken in the form of a pen-paper test.
- Schedule - In the entire academic year, three periodic tests are to be conducted.
| Test | Pre-midterm | Midterm | Post-midterm |
|---|---|---|---|
| Tentative month | July-August | November | December -January |
- The school will convert the weightage of each of the three tests into ten marks each to identify the best two tests. The final marks for the periodic tests will be based on the average marks of the two best periodic tests.
- The marks of the students will be shared with the students and their parents to let them know about their ongoing academic performance.
Assessment Of Activity Work
Throughout the year any 10 activities shall be performed by the student from the activities given in the NCERT Laboratory Manual for the respective class (XI or XII) record of the same may be kept by the student. A year-end test on the activity may be conducted. The weightage is given below.
| Component | Marks |
|---|---|
| Activities Performed Throughout the Year (Record Keeping) | 5 |
| Year-End Test | 3 |
| Viva Voce | 2 |
| Total | 10 |
What Is Class 12 Maths Question Paper Design?
The Central Board of Secondary Education has released the question paper design for the upcoming 2024-25 academic year. This breakdown outlines the format and types of questions you can expect for the test.
| Section | Type of questions | Number of questions | Marks |
|---|---|---|---|
| Section A | MCQs | 20 | 1 × 20 = 20 |
| Section B | Very Short Answer Questions | 05 | 2 × 5 = 10 |
| Section C | Short Answer Questions | 06 | 3 × 6 = 18 |
| Section D | Long Answer Questions | 04 | 4 × 5 = 20 |
| Section E | Source Based/Case Study Based | 03 | 3 × 4 = 12 |
| Total | 80 Marks | ||
What Is Class 12 Maths Exams Mark Distribution?
The Class 12 Maths topic-wise marks distribution is tabulated below.
| Unit | Topic | Chapters | Marks |
|---|---|---|---|
| I | Relation and function |
| 8 |
| II. | Algebra |
| 10 |
| III. | Calculus |
| 35 |
| IV. | Vectors and Three-dimensional geometry |
| 14 |
| V. | Linear programming | - | 05 |
| VI. | Probability | - | 08 |
How To Prepare For Class 12 Mathematics Exam?
- Understand the Syllabus: Familiarize yourself with the entire syllabus to know what topics you need to cover.
- Create a Study Plan: Make a realistic study schedule that allocates time for each topic based on its weight and your understanding level.
- Start Early: Begin studying well in advance to avoid last-minute rush and stress. Early preparation allows for better understanding and retention of concepts.
- Break It Down: Divide the syllabus into smaller, manageable sections and tackle them one at a time. Focus on mastering one concept before moving on to the next.
- Use Quality Resources: Refer to NCERT textbooks, reference books, online resources, and previous year's question papers for comprehensive study materials.
- Practice Regularly: Practice solving problems regularly to strengthen your understanding of concepts and improve problem-solving skills. Aim to solve a variety of problems from different sources.
Prescribed Books For Maths Class 12 Syllabus Chapter-Wise
- Mathematics Textbook for Class XI, NCERT Publications
- Mathematics Part I - Textbook for Class XII, NCERT Publication
- Mathematics Part II - Textbook for Class XII, NCERT Publication
- Mathematics Exemplar Problem for Class XI, Published by NCERT
- Mathematics Exemplar Problem for Class XII, Published by NCERT
- Mathematics Lab Manual class XI, published by NCERT
- Mathematics Lab Manual class XII, published by NCERT
List of some other important books is given below.
| Reference Book | Author Name |
|---|---|
| Senior Secondary School Math 12 | R.S. Aggarwal |
| CBSE Chapter-Wise Solutions – Mathematics | Hemant Malhotra |
| CBSE Examination Mathematics: 15 Sample Question Papers | Prem Kumar |
| I.I.T. Mathematics | M.L. Khanna |
| Problems Plus in IIT Mathematics | A Das Gupta |
| Solutions of Objective Mathematics with Chapter Tests | Dhanpat Rai |
Tips to Score 80 Marks In Class 12 Maths Exam
- Use mindmaps to revise formulas.
- Prioritize the highest weightage topics.
- Use NCERT to solve any topic.
- Target most repeated important questions.
- Solve sample papers to assess your performance.
FAQs
Ques. Are there any changes in the CBSE Class 12 Maths syllabus for this year?
Ans. No changes have been made to the Maths syllabus this year. Previously, the board deleted 30% of the syllabus due to the pandemic. The deleted chapters in the Maths syllabus are Relations and Functions, Inverse Trigonometric Functions, Matrices, Continuity and Differentiability, Three-Dimensional Geometry, Linear Programming, etc.
Ques. Can I use a calculator during the CBSE Class 12 maths exam?
Ans. The use of a calculator is not allowed during the exam. It is important to develop mental math skills and be able to solve problems without the use of a calculator.
Ques. How is the maths exam graded?
Ans. The maths exam is graded on a scale of 1 to 100. The exact grading criteria may vary depending on the specific exam and the board. In general, a score of 60 or above is considered a passing grade, while a score of 80 or above is considered excellent.
Ques. Is NCERT enough to complete the Class 12 Maths Syllabus 2024-25?
Ans. Yes, NCERTs are more than enough to complete the CBSE Class 12 Maths Syllabus 2024-25.
*The article might have information for the previous academic years, please refer the official website of the exam.