Create CBSE Class 12 Mathematics board-pattern question papers in seconds — fully aligned with the 2025-26 examination format. Every paper includes all 5 sections (A to E), 50% competency-based questions, case study problems, and step-wise marking schemes with answer keys.
Works for both Mathematics (Code 041) and Applied Mathematics (Code 241). Trusted by 5,000+ CBSE schools, coaching centres, and Maths teachers across India.
No sign-up required • PDF & DOCX download • Answer key included
The CBSE Class 12 Maths Question Paper Generator by SchoolDeck is a free AI-powered tool that helps teachers, tutors, and students create board-pattern question papers for Mathematics (Code 041) and Applied Mathematics (Code 241) within minutes.
Whether you need a full board exam mock paper, a chapter-wise unit test, a half-yearly examination paper, or quick revision worksheets — this generator produces professionally formatted papers that exactly match the CBSE 2025-26 examination blueprint, including the latest competency-based question format mandated by CBSE.
Every generated paper comes with a detailed step-wise marking scheme, making it ideal for both practice and formal assessment. The tool uses professional LaTeX rendering to perfectly display integrals, matrices, differential equations, 3D geometry diagrams, and all complex mathematical notation.
Official 80-Mark Theory Paper Blueprint — Unit-Wise Weightage
| Unit No. | Unit Name | Key Topics | Marks |
|---|---|---|---|
| I | Relations and Functions | Types of Relations, One-to-One & Onto Functions, Composition, Inverse Trigonometric Functions | 08 |
| II | Algebra | Matrices (Types, Operations, Inverse), Determinants (Properties, Area, Adjoint, System of Equations) | 10 |
| III | Calculus | Continuity & Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, Differential Equations | 35 |
| IV | Vectors & Three-Dimensional Geometry | Vector Algebra, Direction Cosines, Lines & Planes in 3D Space | 14 |
| V | Linear Programming | Graphical Method, Feasible Region, Optimal Solutions, LPP Word Problems | 05 |
| VI | Probability | Conditional Probability, Bayes' Theorem, Random Variables, Binomial Distribution | 08 |
| Total Theory Examination | 80 | ||
| Internal Assessment | 20 | ||
| Grand Total | 100 | ||
Source: CBSE Academic Session 2025-26 Curriculum for Mathematics (Code 041). Calculus carries the highest weightage of 35 marks (43.75%).
The SchoolDeck generator precisely follows this 5-section structure in every paper
18 MCQs + 2 Assertion-Reasoning questions. Tests quick conceptual recall across all 6 units. Includes questions on inverse trigonometric values, matrix properties, continuity conditions, and probability basics.
5 questions with internal choice. Covers direct formula application — finding derivatives, evaluating simple integrals, basic vector operations, and determinant evaluation.
6 questions with internal choice. Multi-step problems in Integration (by parts, partial fractions), Differential Equations, Continuity & Differentiability, and conditional Probability.
4 long-form questions with internal choice. Involves detailed proofs, solving systems of equations using matrices, area under curves using integration, and 3D geometry problems (distance between skew lines, equations of planes).
3 passage-based case study questions with sub-parts. Real-world applications: optimization problems using Calculus, Bayes' Theorem in medical/industrial scenarios, and 3D Geometry in architecture/engineering contexts. Essential for the NEP 2020 competency-based scoring.
| Section | Questions | Marks Each | Total Marks | Internal Choice |
|---|---|---|---|---|
| A — MCQ | 20 | 1 | 20 | No |
| B — VSA | 5 | 2 | 10 | Yes |
| C — SA | 6 | 3 | 18 | Yes |
| D — LA | 4 | 5 | 20 | Yes |
| E — Case Study | 3 | 4 | 12 | Yes (in sub-parts) |
| Total | 38 Questions | 80 Marks | ||
4 simple steps — no sign-up needed to get started
Choose CBSE → Class 12 → Mathematics (041) or Applied Mathematics (241). The tool auto-loads the official 2025-26 syllabus and blueprint.
Select full syllabus or specific chapters (e.g., only Integrals + Differential Equations). Set difficulty as Easy, Medium, Hard, or Mixed.
Select Board Exam Pattern (full 80-mark), Unit Test, Half Yearly, or Pre-Board. The AI automatically applies the correct section structure and marks allocation.
Click Generate. Review the question paper and marking scheme on screen. Download as PDF or DOCX — with or without the answer key.
Our question bank covers every chapter from both NCERT Part I & Part II textbooks
Built specifically for the complexity of Class 12 board-level Mathematics
Flawless printing of definite integrals (∫), matrices (3×3, 4×4), determinants, partial derivatives, 3D coordinate equations, and vector cross products. No broken symbols — ever.
Automatically includes higher-order thinking (HOTS) questions — application, analysis, and evaluation-level problems as mandated by CBSE for 2025-26.
Every solution is broken down into marks-per-step format matching official CBSE board checking standards. Perfect for training evaluators and student self-assessment.
The AI engine ensures every paper respects the official unit-wise marks distribution — 35 for Calculus, 14 for Vectors & 3D, 10 for Algebra, etc. No manual calculation needed.
Rich library of real-world case studies — optimization in manufacturing, Bayes' theorem in medical testing, area calculation in architecture — updated for latest CBSE patterns.
Generate multiple unique papers from the same syllabus selection. Each paper has different questions with the same difficulty and blueprint — ideal for Set A/B/C and pre-board mock exams.
Download question papers and answer keys separately as PDF or DOCX. Add your school logo, name, and custom instructions before printing.
Board Exam (80 marks), Pre-Board, Half Yearly, Quarterly, Unit Test, Weekly Test, and Chapter-wise Worksheet — all with appropriate question distribution.
Save 3-4 hours per paper. Generate unit tests, half-yearly papers, and pre-board mocks in minutes instead of hours.
Create standardized, audit-ready papers across all sections with consistent difficulty. Generate multiple sets (A/B/C/D) instantly.
Practice with unlimited board-pattern mock papers. Get step-wise solutions to understand marking scheme and improve scores.
SchoolDeck also helps automate the documentation and paper generation for the 20-mark internal evaluation component:
10 Marks — Best of two periodic tests conducted during the academic year
10 Marks — Lab activities (5) + Student portfolio (5) based on NCERT lab manual
Starting from the 2024-25 session, CBSE has mandated that approximately 50% of questions in the Class 12 Mathematics board paper must be competency-based. These are questions that test a student's ability to apply mathematical concepts to real-world situations, analyze data, interpret results, and think critically — rather than simply recall formulas or reproduce textbook solutions.
Examples of competency-based questions in Class 12 Maths include:
SchoolDeck's AI generator automatically includes the correct ratio of competency-based vs. knowledge-based questions in every paper, ensuring your students are thoroughly prepared for the actual board examination format.
Everything you need to know about generating CBSE Class 12 Maths question papers
The CBSE Class 12 Maths (Code 041) theory paper carries 80 marks distributed across 6 units: Relations & Functions (8 marks), Algebra/Matrices & Determinants (10 marks), Calculus (35 marks — the highest weightage), Vectors & 3D Geometry (14 marks), Linear Programming (5 marks), and Probability (8 marks). Internal Assessment carries an additional 20 marks, making the total 100.
Yes. Every board-pattern paper generated includes 3 Case Study questions in Section E (3 × 4 = 12 marks). These are passage-based, real-world application problems with 2-3 sub-parts, focusing on areas like Calculus optimization, Probability (Bayes' Theorem), and 3D Geometry as per official CBSE guidelines.
Yes. SchoolDeck provides a dedicated toggle to switch between Mathematics (041) and Applied Mathematics (241). The Applied Maths paper has its own separate syllabus, blueprint, and question types covering topics like Inferential Statistics, Index Numbers, Time Series, and Financial Mathematics.
The generator uses professional LaTeX mathematical rendering to perfectly display all Class 12 notation — definite/indefinite integrals, 3×3 matrices, determinants, partial fractions, differential equations, vector cross/dot products, and equations of lines and planes in 3D. Both the question paper and solution sheets render perfectly in PDF and print formats.
Absolutely. You can select single or multiple chapters from the NCERT Class 12 Maths syllabus. For example, you can create a Calculus-only paper covering Chapters 5-9, or a Vectors + 3D Geometry combined test. The AI auto-adjusts the section structure and marks distribution based on your chapter selection.
The paper has 5 sections totaling 38 questions for 80 marks: Section A has 20 MCQs (including 2 Assertion-Reasoning) for 20 marks, Section B has 5 Very Short Answer questions for 10 marks, Section C has 6 Short Answer questions for 18 marks, Section D has 4 Long Answer questions for 20 marks, and Section E has 3 Case Study questions for 12 marks. Sections B-E have internal choice options.
Yes, SchoolDeck offers a free tier that lets teachers and students generate CBSE Class 12 Maths question papers with answer keys and marking schemes. Premium plans unlock unlimited generation, custom school branding/watermarking, bulk generation for multiple sets, and priority support.
As per CBSE's circular for 2025-26, approximately 50% of the total questions will be competency-based — testing application, analysis, and higher-order thinking skills (HOTS) rather than rote memorization. SchoolDeck automatically maintains this ratio in every generated paper.
Yes. The generator supports multiple exam formats: Full Board Exam (80 marks), Pre-Board Mock (80 marks), Half Yearly (40-80 marks with first-half syllabus), Quarterly, Unit Tests (20-30 marks), and Chapter-wise Worksheets. Each format auto-applies the correct paper structure.
Yes. Every generated marking scheme follows step-wise marks allocation exactly as per CBSE board evaluation guidelines. Each step in the solution is mapped to specific marks, helping teachers evaluate consistently and helping students understand where partial marks are awarded.
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