ISC Class 12 Mathematics Syllabus 2027
The ISC Class 12 Mathematics syllabus for the 2027 exam has 7 units and 14 chapters, with about 84 topics. Each chapter below links to every past question on it with answers. For how the 80-mark theory paper is laid out, see the paper pattern guide.
Marks for each unit in the syllabus
| Unit | Marks |
|---|---|
| Relations and Functions | 10 |
| Algebra | 10 |
| Calculus | 35 |
| Vector Algebra | 5 |
| Three-Dimensional Geometry | 6 |
| Linear Programming | 5 |
| Probability | 9 |
| Total | 80 |
The syllabus gives one figure to units listed together. Source: CISCE’s ISC 2027 Mathematics syllabus.
Where the marks went in the board papers since 2023
| Unit | Share of the marks |
|---|---|
| Calculus | 43% |
| Probability | 11% |
| Relations and Functions | 10% |
| Algebra | 8% |
| Linear Regression (not in the 2027 syllabus) | 7% |
| Application of Calculus (not in the 2027 syllabus) | 6% |
| Three - Dimensional Geometry | 6% |
| Vectors (not in the 2027 syllabus) | 5% |
| Linear Programming | 3% |
Counted from the 4 Mathematics board papers of 2023 to 2026 on Prashnika: each question’s marks as printed. Where a question offers an either-or choice, both options are counted, so read the shares as a guide to emphasis, not as exact marks.
Relations and Functions · Section A
- Relations and Functions 64 questions
Types of relations, Reflexive, symmetric, transitive and equivalence relations, One to one and onto functions, Composite function, Inverse of a function, Binary operations - Inverse Trigonometric Functions 53 questions
Definition, domain, range, Principal value branch, Graphs of inverse trigonometric functions, Elementary properties of inverse trigonometric functions
Algebra · Section A
- Matrices 65 questions
Concept, notation, order, equality, Types of matrices, Zero and identity matrix, Transpose of a matrix, Symmetric and skew symmetric matrices, Operation on matrices, Invertible matrices and uniqueness of inverse - Determinants 46 questions
Determinant of a square matrix, Properties of determinants, Minors and cofactors, Applications in finding area of a triangle, Adjoint and inverse of a square matrix, Consistency and inconsistency of system of linear equations, Solving system of linear equations using inverse of a matrix - Complex Numbers 2 questions
Calculus · Section A
- Continuity, Differentiability and Differentiation 75 questions
Continuity and differentiability, Derivative of composite functions, Chain rule, Derivatives of inverse trigonometric functions, Derivative of implicit functions, Exponential and logarithmic functions, Logarithmic differentiation, Derivative of functions in parametric forms, Second order derivatives - Applications of Derivatives 88 questions
Rate of change of bodies, Increasing and decreasing functions, Tangent and normal, Maxima and minima - Integrals 107 questions
Integration as inverse process of differentiation, Integration by substitution, Integration by partial fractions, Integration by parts, Fundamental Theorem of Calculus, Properties of definite integrals, Evaluation of definite integrals - Application of Integrals 28 questions
Area under the curve, Area bounded by simple curves and coordinate axes, Area enclosed between two curves - Differential Equations 51 questions
Definition, order and degree, General and particular solutions, Solution by separation of variables, Homogeneous differential equations, Linear differential equations
Vector Algebra
- All 5 questions on Vector Algebra
Vectors and scalars, Magnitude and direction of a vector, Direction cosines and direction ratios, Types of vectors, Position vector of a point, Negative of a vector, Components of a vector, Addition of vectors, Multiplication of a vector by a scalar, Section formula, Scalar product of vectors, Vector product of vectors
Three - Dimensional Geometry · Section B
- Three-dimensional Geometry 76 questions
Direction cosines and direction ratios of a line, Cartesian and vector equation of a line, Coplanar and skew lines, Shortest distance between two lines, Cartesian and vector equation of a plane, Angle between two lines, two planes, line and plane, Distance of a point from a plane
Linear Programming · Section C
- All 28 questions on Linear Programming
Introduction and related terminology, Mathematical formulation of L.P. problems, Graphical method of solution, Feasible and infeasible regions, Feasible and infeasible solutions, Optimal feasible solutions
Probability · Section A
- All 101 questions on Probability
Conditional probability, Multiplication theorem on probability, Independent events, Total probability, Bayes' theorem, Random variable and its probability distribution, Mean of random variable
Project work
Paper II is project work of 20 marks. You complete two projects, each marked out of 10 by the subject teacher and a visiting examiner: overall format 1, content 4, findings 2 and a viva-voce on the project 3.
Common questions
How many units and chapters are in the ISC Class 12 Mathematics syllabus?
The 2027 syllabus lists 7 units: Relations and Functions, Algebra, Calculus, Vector Algebra, Three - Dimensional Geometry, Linear Programming, Probability. They hold 14 chapters.
How many marks does each unit of ISC Class 12 Mathematics carry?
Relations and Functions: 10; Algebra: 10; Calculus: 35; Vector Algebra: 5; Three-Dimensional Geometry: 6; Linear Programming: 5; Probability: 9. The theory paper is 80 marks.
Which Mathematics chapters were in earlier ISC papers but not in the 2027 syllabus?
Vectors, Application of Calculus, Linear Regression. Older papers on Prashnika still have questions on them, marked by chapter, which are useful only if your syllabus still has the chapter.
Keep reading
Units, chapters and topics from CISCE’s ISC 2027 syllabus. Last checked 2026-10-16.