The CBSE Class 12 Mathematics syllabus 2026-27 has six units and 13 chapters for the 2027 board exam. Mathematics carries 100 marks: 80 marks for the three-hour theory paper and 20 marks for internal assessment. The subject code is 041.

Calculus carries 35 marks, the highest weightage in the theory paper. CBSE gives marks for each unit but does not fix separate marks for every chapter.

CBSE Class 12 Mathematics Syllabus 2026-27

The course covers relations and functions, algebra, calculus, vectors and three-dimensional geometry, linear programming and probability. Calculus alone carries 35 of the 80 theory marks, while Vectors and Three-Dimensional Geometry carry 14 marks.

CBSE Class 12 Mathematics Syllabus 2026-27 PDF

The complete file contains the Class 11 and Class 12 syllabus, unit marks, topic limits, question paper design, internal assessment and prescribed books. Students can download the official Class 12 Mathematics syllabus PDF.

CBSE Class 12 Mathematics Unit-Wise Marks 2026-27

The marks below apply to complete units. CBSE has not assigned a fixed mark value to each chapter.

CBSE Class 12 Mathematics Chapter-Wise Syllabus 2026-27

Units I and II: Relations, Functions and Algebra

Relations and Functions covers reflexive, symmetric, transitive and equivalence relations, along with one-to-one and onto functions. Inverse Trigonometric Functions includes definitions, domain, range, principal values and graphs.

Matrices covers matrix types, operations, transpose, symmetric and skew-symmetric matrices, non-commutative multiplication and invertible matrices. Determinants includes determinants up to order three, minors, cofactors, area of a triangle, adjoint, inverse and systems of linear equations with a unique solution.

Unit III: Calculus

Continuity and Differentiability includes continuity, chain rule, composite and implicit functions, inverse trigonometric, exponential and logarithmic functions, parametric forms and second-order derivatives.

Applications of Derivatives covers rates of change, increasing and decreasing functions, maxima and minima, and simple real-life problems. Integrals includes substitution, partial fractions, integration by parts, the fundamental theorem without proof, and definite integrals.

Application of Integrals covers areas under simple lines, circles, parabolas and ellipses in standard form. Differential Equations includes order and degree, general and particular solutions, separation of variables, first-order homogeneous equations and first-order linear equations.

Units IV to VI: Vectors, Linear Programming and Probability

Vector Algebra covers vector types, components, addition, scalar multiplication, section formula, dot product and cross product. Three-Dimensional Geometry includes direction cosines and ratios, equations of a line, skew lines, shortest distance and the angle between two lines.

Linear Programming covers constraints, objective functions, graphical solutions in two variables, feasible regions and optimal solutions with up to three non-trivial constraints. Probability includes conditional probability, the multiplication rule, independent events, total probability and Bayes' theorem.

CBSE Class 12 Mathematics Question Paper Design 2026-27

Remembering and understanding carry 44 marks. Applying concepts carries 20 marks, while analysing, evaluating and creating carry 16 marks.

There is no overall choice in the paper. Internal choice is available in 33% of every section. CBSE may change the internal question mix while keeping the overall skill-based weightage. The Class 12 exam pattern explains the common board rules.

CBSE Class 12 Mathematics Internal Assessment

Internal assessment carries 20 marks. The best two scores from three periodic tests carry 10 marks. Mathematics activities carry the other 10 marks.

Students complete any 10 activities from the NCERT Laboratory Manual during the year. Activity work and record keeping carry 5 marks, the year-end activity test carries 3 marks, and viva carries 2 marks.

CBSE Class 12 Mathematics Prescribed Books

The Class 12 books are NCERT Mathematics Part I and Part II, Mathematics Exemplar Problems for Class XII and the NCERT Mathematics Lab Manual for Class XII. The Class 12 books page contains the subject-wise details.

The Class 12 subject-wise syllabus and 2026 question papers cover the other subjects and recent board papers.