CBSE Class 12 · Maths

CBSE Class 12 Maths Syllabus 2026-27: Chapter-wise Topics, Marks and Changes

CBSE Class 12 Maths syllabus 2026-27: unit-wise marks, chapter-wise marks from the sample paper, deleted topics and the 20 internal assessment marks.

Updated 6 Nov 2026

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The CBSE Class 12 Maths syllabus for 2026-27 has six units and 13 chapters. The board paper is 80 marks, and internal assessment adds 20. Calculus alone carries 35 of the 80 theory marks.

The Class 12 part of CBSE's 2026-27 Mathematics (041) curriculum PDF matches the 2025-26 version word for word. Only the session label has changed. If you began Class 12 with last year's syllabus, nothing has been added or dropped. You can open the official PDF from CBSE's 2026-27 curriculum page.

CBSE Class 12 Maths syllabus 2026-27: units, chapters and marks

  • Unit I, Relations and Functions (8 marks): Relations and Functions, Inverse Trigonometric Functions.
  • Unit II, Algebra (10 marks): Matrices, Determinants.
  • Unit III, Calculus (35 marks): Continuity and Differentiability, Applications of Derivatives, Integrals, Application of the Integrals, Differential Equations.
  • Unit IV, Vectors and Three-dimensional Geometry (14 marks): Vectors, Three-dimensional Geometry.
  • Unit V, Linear Programming (5 marks): Linear Programming.
  • Unit VI, Probability (8 marks): Probability.

The 2024-25 curriculum was the last one to print teaching periods. It gave Algebra 50 of the 240 periods for only 10 marks, and Calculus 80 periods for 35 marks. If your school spends weeks on matrices, put extra hours of your own into calculus.

This page covers Mathematics (041). Applied Mathematics is a separate subject with its own syllabus.

Chapter-wise marks in the CBSE 2026-27 sample paper

CBSE fixes marks only unit by unit. To see how a unit splits across its chapters, we matched all 38 questions of the 2026-27 sample paper to a chapter. For Q23, where the two options come from different chapters, we counted option (a). Q26 mixes a matrix product with an inverse, and we put it under Matrices.

  • Integrals: 9 marks (Q12, 19, 21, 33)
  • Three-dimensional Geometry: 9 marks (Q23, 30, 36)
  • Continuity and Differentiability: 8 marks (Q7, 8, 10, 22, 28)
  • Applications of Derivatives: 8 marks (Q9, 27, 37)
  • Probability: 8 marks (Q16 to 18, 35)
  • Relations and Functions, Matrices, Determinants, Application of the Integrals, Differential Equations, Vectors and Linear Programming: 5 marks each
  • Inverse Trigonometric Functions: 3 marks (Q1 to 3)

Source: CBSE Class 12 Mathematics sample question paper and curriculum for 2026-27 (cbseacademic.nic.in), Gradehunt analysis.

What the count tells you:

  • Integration in all its forms (Integrals plus Application of the Integrals) is worth 14 marks. Differentiation, both chapters together, is worth 16.
  • Relations and Functions came as a single 5-mark question in Section D. Skip the chapter and those 5 marks go in one go.
  • Inverse trigonometric functions were three one-mark MCQs, on a graph, a domain and a principal value. That is exactly where the syllabus stops for this chapter.
  • All three case studies use core methods: shortest distance between lines (Q36), maxima by the second derivative test (Q37) and solving equations by matrix inverse (Q38).

CBSE's question paper design also says there is no chapter-wise weightage, so the board paper can move marks between chapters inside a unit. Use the count above to plan revision, not to drop chapters.

What changed in the Class 12 Maths syllabus for 2026-27

Nothing, compared with 2025-26. The last real change came in 2025-26, when three things changed against the 2024-25 curriculum:

  • Probability lost "random variable and its probability distribution, mean of random variable". The chapter now ends at Bayes' theorem.
  • Continuity and Differentiability gained the words "derivative of composite functions", alongside the chain rule.
  • The curriculum stopped listing periods for each chapter.

Topics that are not in the CBSE Class 12 Maths syllabus

Many older guides still list topics that the 2026-27 curriculum text does not include. Do not spend revision time on these:

  • Rolle's theorem and Lagrange's mean value theorem
  • Tangents and normals, and approximations
  • Binary operations, and composition and invertibility of functions
  • Properties of inverse trigonometric functions (only definition, domain, range, principal value branch and graphs are listed)
  • Equations of a plane, angle between planes and distance of a point from a plane
  • Random variables, mean and variance, and the binomial distribution

One caution on area. The syllabus says "area under simple curves". Yet both options of the 2026-27 sample paper's Q34 ask for the area of a region bounded by a curve and a line. Practise those regions too.

How the 20 internal assessment marks are given

  • Periodic tests, 10 marks: schools hold three pen-and-paper tests, suggested for July-August, November and December-January. The best two are averaged.
  • Mathematics activities, 10 marks: any 10 activities from the NCERT Class 12 lab manual over the year. The year's activities and their record carry 5 marks, a year-end activity test 3 and the viva 2.

The theory paper sets 44 of its 80 marks on remembering and understanding, 20 on applying, and 16 on analysing, evaluating and creating. The curriculum promises 33% internal choice. In the sample paper, the choices sit in Sections B to E: 2 of the 5 questions in B, 3 of 6 in C, 2 of 4 in D and one sub-part in 2 of the 3 case studies. The 20 one-mark questions in Section A have none.

Using the syllabus with past papers

Tick off each chapter once you can solve its NCERT exercises and exemplar problems, then move to timed board papers. Our CBSE Class 12 Maths past papers post has the 2020 and 2022 to 2026 board papers with solutions, the paper pattern and the time to give each question.

To find out which chapters still cost you marks, take the Gradehunt CBSE Class 12 Maths test series. You write each paper by hand, upload it and get it back within 48 hours, checked step-wise by subject experts with remarks on every answer.

CBSE Class 12 · Maths

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Syllabus Table in Detail

The table lists the 13 chapters of the CBSE Class 12 Maths syllabus for 2026-27 with the topics CBSE prescribes in each.

ChapterUnit TitleKey Topics and Subtopics

1.

Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations; one-one and onto functions.

2.

Inverse Trigonometric Functions

Definition, range, domain and principal value branch; graphs of inverse trigonometric functions.

3.

Matrices

Concept, notation, order, equality and types of matrices; zero and identity matrix; transpose; symmetric and skew-symmetric matrices; addition, multiplication and scalar multiplication and their simple properties; non-commutativity of multiplication; invertible matrices and uniqueness of the inverse (real entries only).

4.

Determinants

Determinant of a square matrix (up to 3 x 3); minors and cofactors; area of a triangle; adjoint and inverse of a square matrix; consistency, inconsistency and number of solutions; solving linear equations in two or three variables (unique solution) using the inverse of a matrix.

5.

Continuity and Differentiability

Continuity and differentiability; chain rule and derivative of composite functions; derivatives of inverse trigonometric functions and of implicit functions; exponential and logarithmic functions and their derivatives; logarithmic differentiation; derivatives in parametric form; second order derivatives.

6.

Applications of Derivatives

Rate of change of quantities; increasing and decreasing functions; maxima and minima by the first and second derivative tests; simple real-life problems.

7.

Integrals

Integration as the inverse of differentiation; substitution, partial fractions and by parts; the standard integrals listed by CBSE; Fundamental Theorem of Calculus (without proof); basic properties and evaluation of definite integrals.

8.

Application of the Integrals

Area under simple curves, especially lines, circles, parabolas and ellipses (standard form only).

9.

Differential Equations

Definition, order and degree; general and particular solutions; separation of variables; homogeneous equations of first order and first degree; linear equations of the type dy/dx + py = q and dx/dy + px = q.

10.

Vectors

Vectors and scalars; magnitude and direction; direction cosines and ratios; types of vectors; position vector and section formula; addition and scalar multiplication; scalar (dot) and vector (cross) products.

11.

Three-dimensional Geometry

Direction cosines and ratios of a line joining two points; Cartesian and vector equation of a line; skew lines; shortest distance between two lines; angle between two lines.

12.

Linear Programming

Constraints, objective function and optimisation; graphical method for two variables; feasible and infeasible regions (bounded or unbounded); optimal feasible solutions (up to three non-trivial constraints).

13.

Probability

Conditional probability, multiplication theorem, independent events, total probability and Bayes' theorem.

Updates to this page

  • 6 November 2026: checked against CBSE's 2026-27 Mathematics curriculum and sample paper. Added unit-wise marks, chapter-wise marks from the 2026-27 sample paper, what changed since 2024-25, topics not in the syllabus and the internal assessment split.

Finished reading? Now test yourself.

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  3. 3Checked with marks and remarks in 48 hours

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Frequently Asked Questions

Q1.What is the CBSE Class 12 Maths syllabus for 2026-27?

Ans.

Six units and 13 chapters: Relations and Functions (8 marks), Algebra (10), Calculus (35), Vectors and Three-dimensional Geometry (14), Linear Programming (5) and Probability (8). That makes 80 theory marks, plus 20 for internal assessment.

Q2.Is the CBSE Class 12 Maths syllabus 2026-27 the same as 2025-26?

Ans.

Yes. The Class 12 content in CBSE's 2026-27 Mathematics curriculum matches the 2025-26 version word for word. Only the session label differs.

Q3.Which chapter carries the most marks in CBSE Class 12 Maths?

Ans.

Calculus is the biggest unit at 35 marks. In the 2026-27 sample paper, Integrals and Three-dimensional Geometry got 9 marks each (counting option (a) of Q23), the most of any chapter. CBSE does not fix marks chapter by chapter, only unit by unit.

Q4.Is random variable or binomial distribution in the Class 12 Maths syllabus 2026-27?

Ans.

No. Random variable and its mean were removed in 2025-26, and the binomial distribution is not in the syllabus either. Probability now covers conditional probability, the multiplication theorem, independent events, total probability and Bayes' theorem.

Q5.Are Rolle's theorem and tangents and normals in the CBSE Class 12 Maths syllabus?

Ans.

No. Neither appears in the 2026-27 curriculum. Applications of Derivatives covers rate of change, increasing and decreasing functions, and maxima and minima.

Q6.How are internal assessment marks given in CBSE Class 12 Maths?

Ans.

20 marks: 10 for periodic tests (best two of three, averaged) and 10 for activities, split into 5 for the year's activities and record, 3 for a year-end activity test and 2 for the viva.

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