ISC Class 12 Maths Syllabus 2026 | Free PDF Download

The ISC Class 12 Mathematics Syllabus has been released officially. For the 2025-26 academic year, the syllabus offers a well-rounded blend of algebra, calculus, probability, and applied mathematics, ensuring students are well-prepared for both higher studies and competitive exams.

Math doesn’t have to be a struggle. The aim is to help you connect the dots between what you’re learning and how it actually applies in the real world. By getting a strong grip on these basics, you'll be more confident when tackling subjects like the ISC Class 12 Physics Syllabus. The goal is to make math something you can use, understand, and actually enjoy as you move forward!

ISC Class 12 Mathematics Syllabus PDF for the Year 2025-26 – Download the Latest PDF

The Class 12 ISC Maths Syllabus is there to build a good base in algebra, geometry, trigonometry, and statistics, making sure students are well-prepared for academic and practical applications.

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Assessment Structure for ISC Class 12 Mathematics Syllabus

The syllabus follows a structured assessment format that includes both external and internal evaluation. The final score is divided between a written examination and project work.

• Theory Exam: 80 marks (3 hours)
• Project Work: 20 marks

The ISC Maths syllabus Class 12 assessment is structured to evaluate students' understanding of core concepts and their ability to apply them in real-world situations.

a) Marking Scheme Class 12 ISC Maths Syllabus

The Mathematics Syllabus Class 12 ISC Marking Scheme allocates marks based on the difficulty and weightage of each topic. The theory paper is divided into three sections:

• Section A (65 marks): Compulsory for all candidates
• Sections B and C (15 marks each): Candidates must choose either Section B OR Section C

b) Exam Pattern ISC Maths Syllabus Class 12

The Mathematics Syllabus Class 12 ISC follows a structured pattern, with a mix of multiple-choice, short-answer, and long-answer questions, testing a student’s understanding of concepts and application skills across various topics.

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ISC Class 12 Mathematics Syllabus Detailed Breakdown

The Mathematics Syllabus Class 12 ISC covers an extensive range of topics divided into three sections. Students must attempt Section A and choose between Section B and Section C.

Section A (65 Marks) - Compulsory

1. Relations and Functions

• Types of Relations: Reflexive, symmetric, transitive, equivalence relations
• Functions: One-to-one, onto, composite functions, inverse functions, binary operations
• Inverse Trigonometric Functions: Definition, domain, range, principal value branch, graphs, and properties

2. Algebra (Matrices and Determinants)

• Matrices: Concept, types, operations, elementary row/column operations, invertible matrices
• Determinants: Properties, minors, cofactors, applications in finding area of triangle
• Systems of Linear Equations: Consistency, solving using matrix inverse

3. Calculus

• Continuity and Differentiability: Chain rule, derivatives of composite, implicit, exponential, logarithmic, and parametric functions
• Mean Value Theorems: Rolle's and Lagrange's theorems and their geometric interpretations
• Applications of Derivatives: Rate of change, increasing/decreasing functions, tangents/normals, approximation, maxima/minima
• Integrals: Indefinite integration, methods (substitution, partial fractions, by parts), definite integrals and their properties
• Differential Equations: Definition, order, degree, solutions of first-order differential equations (variable separable, homogeneous, linear)

4. Probability

• Conditional probability, multiplication theorem
• Independent events, total probability, Bayes' theorem
• Random variables and probability distribution
• Mean and variance of random variable
• Bernoulli trials and binomial distribution

Section B (15 Marks) - Optional

5. Vectors

• Vectors and scalars, types of vectors
• Direction cosines and direction ratios
• Vector operations (addition, scalar multiplication)
• Scalar (dot) product, vector (cross) product, scalar triple product

6. Three-Dimensional Geometry

• Direction cosines/ratios of a line
• Cartesian and vector equations of lines and planes
• Coplanar and skew lines, shortest distance between lines
• Angle between lines, planes, and line-plane
• Distance of a point from a plane

7. Applications of Integrals

• Finding area bounded by simple curves and coordinate axes
• Area enclosed between two curves

Section C (15 Marks) - Optional

8. Application of Calculus in Commerce and Economics

• Cost, revenue, and profit functions
• Marginal cost, marginal revenue, and their interpretations
• Breakeven point
• Curve sketching (AR, MR, R, C, AC, MC)

9. Linear Regression

• Lines of regression (x on y and y on x)
• Method of least squares, lines of best fit
• Regression coefficients and their properties
• Estimation using regression lines

10. Linear Programming

• Constraints, objective function, optimization
• Mathematical formulation of LP problems
• Graphical method of solution for two variables
• Feasible and infeasible regions/solutions
• Optimal feasible solutions

Project Work (20 marks)

Acc to class 12 ISC Maths syllabus, students have to complete two projects: one from Section A and one from either Section B or C. To be evaluated by subject teacher and Visiting Examiner

a) Mark Allocation acc to ISC Maths syllabus Class 12 (per project)

• Overall format: 1 mark
• Content: 4 marks
• Findings: 2 marks
• Viva-voce: 3 marks
• Total: 10 marks per project (20 marks total)

b) Project Topics in ISC Maths syllabus Class 12

The syllabus provides numerous suggested project topics:

• Section A: Projects on functions, inverse trigonometric functions, determinants, linear equations, Mean Value theorems, maxima/minima, integrals, differential equations, and probability
• Section B: Projects on vector algebra applications, geometry, and finding areas bounded by different curves
• Section C: Projects on cost and revenue functions, regression analysis, and linear programming applications

Preparation Tips for Maths Board Exam Class 12 

Studying smart is the key to acing Class 12 ISC Maths Syllabus. Here are some pro tips to boost your preparation:

1. Know the Syllabus – Stick to the recommended Mathematics Syllabus Class 12 ISC for structured learning.
2. Solve PYQs – Practicing past year questions gives an idea of exam patterns.
3. Master Sample papers – Sample papers carries the most important questions, so focus on it from the start.
4. Concept over Rote Learning – Focus on understanding concepts instead of memorizing formulas.
5. Revise with Short Notes – Keep a summary of formulas and theorems for quick revision.
6. Time-Based Practice – Solve mock papers within the exam duration to improve speed and accuracy.

The ISC Class 12 Mathematics syllabus is well-structured to develop students’ analytical and problem-solving skills. With proper preparation, consistent practice, and smart study techniques, students can excel in the board exams. Stay focused, practice regularly, and make the most of available resources like sample papers and textbooks. All the best!

Frequently Asked Questions

What is the structure of the ISC Class 12 Mathematics exam?

The exam consists of two parts: Part A (compulsory) and Part B (which includes a choice of questions). Part A covers topics like Relations, Functions, Calculus, and Vectors. Part B usually includes questions on Probability, Matrices, and Determinants.

What are the main topics included in the ISC Class 12 Mathematics syllabus?

The major topics include Relations and Functions, Calculus (Differentiation and Integration), Vectors and 3D Geometry, Matrices and Determinants, Probability, and Linear Programming.

What type of questions are asked in the Mathematics exam?

The exam includes a variety of question types: short answer questions, long answer questions, and problem-solving questions. Calculations, derivations, and proofs are also an essential part of the paper.

How can I prepare for the ISC Class 12 Mathematics exam?

Practice is key! Regularly solve previous years’ papers, and understand the formulas and concepts thoroughly. Work on strengthening your problem-solving skills and learn to manage time effectively during the exam.

Is there any specific marking scheme for the Mathematics exam?

Yes, the exam has a well-defined marking scheme. The weightage is divided between different sections, with the long answer questions having more marks. Focus on solving problems step-by-step to gain maximum marks.