CBSE Class 12 Mathematics Sample Papers 2026-27
Prepare for your Class 12 CBSE Board Mathematics exam with 20 full-length sample papers, each modelled on the standard question paper pattern — 38 questions, 80 marks, 3-hour format. All questions are original and cover the complete Class 12 Mathematics syllabus.
What's Inside
Each paper follows the standard five-section structure: Section A (20 MCQs and Assertion-Reason, 1 mark each), Section B (5 Very Short Answer, 2 marks each), Section C (6 Short Answer, 3 marks each), Section D (4 Long Answer, 5 marks each), and Section E (3 Case Study questions, 4 marks each). Internal choices are provided in Sections B, C, D, and E wherever applicable. Every paper is followed by a complete step-wise answer key with all working shown.
Topics Covered
Questions span all major chapters of the Class 12 Mathematics syllabus — Relations and Functions, Inverse Trigonometric Functions, Matrices and Determinants, Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals (area under curves), Differential Equations, Vector Algebra, Three Dimensional Geometry, Linear Programming, and Probability (including Bayes' Theorem).
Difficulty Levels
Papers are organised across three levels: Easy (Papers 1–3), Medium (Papers 4–9), and Hard (Papers 10–20), allowing students to build confidence progressively before tackling challenging questions.
At a Glance
20 full-length sample papers
38 questions per paper (80 marks, 3 hours)
Three difficulty levels: Easy, Medium, Hard
Complete answer keys for every paper
Figure-based questions with labelled diagrams included
Internal choices throughout
All questions are original
Disclaimer
This ebook is an independent publication by FutureTopper.in and is not affiliated with, endorsed by, or associated with the Central Board of Secondary Education (CBSE) or any other educational authority. These papers are designed for practice and self-assessment only and do not represent actual board examination papers. While care has been taken to ensure accuracy, minor errors may exist. Errors can be reported to contactfuturetopper@gmail.com.
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Reviews
The question quality and step-wise solutions are genuinely strong and I improved my Mathematics preparation significantly using this resource. The overall visual presentation could be more polished. Still a clear recommendation for any board student.
Direction cosines, plane equations and line-plane intersections appear consistently. 3D Geometry is a chapter where students either score everything or lose marks easily. This material trains you well.
The five-section structure with internal choices gives practice in deciding which questions to attempt. That decision-making under time pressure is a real skill that only develops with practice.
LHD, RHD, mean value theorem and Rolle's theorem questions appear with complete solutions showing all steps. A chapter where partial marks matter and these solutions teach how to secure them.
This chapter trips many students and the coverage here is thorough. Conditional probability, total probability and Bayes Theorem questions appear at varying difficulty across the papers.
Calculus coverage is outstanding. Integration, differentiation and applications of derivatives appear across multiple papers with proper step-wise solutions showing full working. Exactly what boards demand.
Definite integrals, substitution, integration by parts and area under curves all appear with proper difficulty progression across the papers. Good reinforcement of the most calculation-heavy chapter.
Types of relations, bijective functions, composition and inverse functions all appear. This chapter often has straightforward marks available and this material ensures you collect all of them.
In Mathematics every intermediate step carries marks. The answer keys here show complete working from start to finish following the marking scheme. Invaluable for learning how to write solutions.
The three case study questions per paper require applying maths to real-world scenarios. These are increasingly important in board exams and this material prepares you well for them.