CBSE Maths Sample Paper Class 12 2026-27 With Solutions PDF Free Download

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CBSE Class 12 science stream students who have opted for PCM/PCMB can use the CBSE Class 12 Maths sample paper 2026-27 on SelfStudys for their board exam preparation. These papers are officially released by the Central Board of Secondary Education to help students become familiar with the actual question paper. They enable candidates like you to experience the real exam pressure of scoring the full 80 marks within 3 hours during the exam preparation phase. Beyond this, you will understand how Maths questions are framed in the paper, which concepts are prioritised, how marks are distributed among the five sections, and more.

Find multiple sets of the CBSE Maths sample paper Class 12 for free in this article and begin your practice session now. These sample papers strictly adhere to the official CBSE Class 12 Maths syllabus, but you can start solving them even after covering 60–70% of the syllabus. Solve them, find your errors, and develop a strategic revision plan to improve those weak areas before the final exam date.

Set-Wise CBSE Class 12 Maths Sample Paper PDF

To help students prepare more effectively, the CBSE releases multiple sets of CBSE Maths sample paper 2027 Class 12 every year. They allow you to get access to a wide variety of question types while staying within the same syllabus and exam pattern. Set-wise sample papers also help you to focus on strengthening your understanding of the topics instead of memorising full-length sample papers. If only one sample paper existed, many students might have focused on memorising specific questions.

However, sample papers in a set-wise format provide more practice with high-quality, exam-level questions, showing the range of questions that could appear in the actual exam. In fact, schools can use different sets for pre-board exams too; therefore, solving more than one set of SQPs is helpful. You can access all those set-wise CBSE sample paper 2027 Class 12 Maths solutions from the links we’ve provided in this article.

CBSE Sample Paper 2027 Class 12 Maths Solutions

CBSE Class 12 Maths sample paper PDF along with the solutions enables you to self-assess without anyone’s help. The expert-created solutions ensure that you maintain accuracy in your answers. With these solutions, you get detailed, step-by-step working for all the Maths questions, which also helps you identify your weak areas in the subject.

Additionally, solving the CBSE 12 Maths sample paper 2026-27 boosts your confidence for board exam preparation, helps you reduce careless mistakes, and improves your answer presentation skills. In the CBSE Class 12 Mathematics paper, you are also awarded marks for using the correct method, not just for the final answers. Therefore, after solving a sample paper under an exam environment within the 3-hour time limit, use our expert-created solutions to recognise your strengths and weaknesses.

CBSE Class 12 Maths Exam Pattern and Marking Scheme 2026-27

Having a clear understanding of the exam pattern and marking scheme is essential for every board candidate to better prepare for the examination. In this class, Mathematics has a total weightage of 100 marks, which is divided into the theory paper (80 marks) and the internal assessment (20 marks). The Maths theory paper is conducted for a 3-hour duration and includes a mix of CBSE Class 12 MCQs, assertion-reason questions, case-study-based questions, short-answer questions, and long-answer questions. The table below contains the sample paper Class 12 CBSE 2026-27 Maths free structure:

CBSE Class 12 Maths SQP Structure 2026-27
Section	Type of Questions	Marks
A	MCQs and Assertion-Reason Questions	20
B	Very Short Answer Questions	10
C	Short Answer Questions	18
D	Long Answer Questions	20
E	Case-Study/Source-Based Questions	12
Total	Theory Examination	80

CBSE Class 12 Maths Unit-Wise Marks Distribution 2026-27

In CBSE Class 12 Mathematics, there are 6 main units, which are broken down into 13 chapters. The table below contains a list of those units, the important chapters to prioritise, and the marks allotted to each unit:

Unit	Important Chapters	Marks
Relations and Functions	Types of relations/functions, Inverse trigonometric functions	8
Algebra	Matrices, Determinants	10
Calculus	Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, Differential Equations	35
Vectors and Three-Dimensional Geometry	Vectors, 3D Geometry	14
Linear Programming	Linear Programming Problems (LPP)	5
Probability	Conditional probability, Bayes' theorem, Probability distribution	8
Total	80

The CBSE Class 12 Maths internal assessment is broken down into two sections: periodic tests and projects, each of which is allotted 10 marks.

Internal Assessment
Particulars	Marks
Periodic Tests	10
Mathematics Activities/Projects	10
Total Internal Assessment	20

CBSE Class 12 Maths Past Years’ Sample Papers in PDF (SQPs Archive)

Beyond the 2026–27 session, we provide CBSE sample papers for Class 12 Maths year-wise dating back to 2021. Although older sample papers aren’t ideal for understanding the latest exam pattern, they provide additional exam-level questions to practise. Once you have practised with the latest sample papers, spend some time on these past years’ SQPs with solutions to improve your answer-writing techniques, speed, and confidence.

How to Download CBSE Maths Sample Paper Class 12 With Solutions for Free From SelfStudys?

You can either visit the official CBSE website to get the latest sample papers or follow these simple steps on SelfStudys. Beyond the official CBSE sample paper 2027 Class 12 Maths PDF, we provide additional practice questions prepared by our subject experts:

Browse Selfstudys.com on your device and navigate to the menu section.

CBSE Class 12 Maths sample paper 2026-27

Within the menu, click on ‘CBSE’ → ‘Sample Papers’.

CBSE Maths sample paper Class 12

CBSE Maths sample paper 2027 Class 12

A new page will open, where you need to select your class: ‘12th’.

CBSE sample paper 2027 Class 12 Maths solutions

After selecting your class, you will see a subject-wise list — click on ‘Maths’.

CBSE Class 12 Maths sample paper PDF

In this final step, you will find multiple sets of CBSE Class 12 Maths sample paper 2026-27 PDF download. Pick any set to access it for free.

CBSE 12 Maths sample paper 2026-27

Note: SelfStudys offers interactive PDFs, which you can use online to practise questions. However, to study offline, click on the ‘Download PDF’ button to save the CBSE Class 12 Maths sample paper 2026-27 on your device.

How to Solve Class 12 Maths Sample Paper 2026-27 to Improve Exam Score?

A student solving the CBSE Maths sample paper Class 12 during the preparation phase can improve their board exam score, especially when the approach is combined with the right strategy. Many students focus on just completing the papers, but the maximum benefits lie in finding mistakes, improving weak sections, and mastering time management. Here are some solid strategies to solve the sample paper effectively:

Timing matters; therefore, first of all, start your CBSE Maths sample paper 2027 Class 12 sessions by October at the latest. This is because our survey data has shown that last-minute starters are the most likely to score below 70%.

When you are about to start a CBSE sample paper 2027 Class 12 Maths solutions practice session, go through and revise the important formulas, identities, and theorems.

Your CBSE Class 12 Maths sample paper PDF practice sessions shouldn’t be casual or random. Follow proper exam conditions: attempt the paper in one sitting within the prescribed 3-hour duration in a quiet room. Students practising questions under these conditions are twice as likely to see improvements in their scores compared to those who never follow the same conditions during practice.

To build momentum, start by solving the CBSE 12 Maths sample paper 2026-27 questions in which you feel most confident.

Ensure you are showing all the steps in your answers while solving the sample paper Class 12 CBSE 2026-27 Maths free. Consider writing out formulas, calculations, and all the necessary steps in a crystal-clear manner to earn step-wise marking.

Keep track of the time you are spending on questions. If you are stuck on a question and it’s taking longer than it should, move ahead and return to it later if time permits. Focus on solving all the questions as per the instructions provided in the CBSE sample papers for Class 12 Maths year-wise.

The real score improvement starts after finishing the CBSE sample paper 2027 Class 12 Maths PDF. Analyse your answer sheet using our expert-created solutions and identify the topics where you lost marks. Such topics indicate that you haven’t understood them properly yet, so revise those weak topics before attempting another set of sample papers.

Also, track your performance across the CBSE Class 12 Maths sample paper 2026-27 PDF download you have solved to understand how much you have improved and which areas still need work.

5 Reasons Why CBSE Class 12 Maths Sample Paper Practice Matters

After finishing the Maths syllabus using the NCERT textbook, practising with the CBSE Class 12 Maths sample paper 2026-27 is one of the best study strategies for the board examination. Beyond helping you understand the latest exam pattern, it develops crucial exam skills such as time management, pressure handling, and more. Here are five reasons why regular sample paper practice should be a part of your board exam preparation strategy:

As you start solving the CBSE Maths sample paper Class 12, you will begin to experience the actual exam paper pattern, question structure, marking scheme, question types, and more.
For Mathematics, you need both speed and accuracy. Regular CBSE Maths sample paper 2027 Class 12 practice teaches you how to allocate time across the five sections and complete the paper within the strict 3-hour time limit.
The Maths question paper contains a variety of questions where you need to use logical reasoning and problem-solving skills. Instead of direct, formula-based questions, you will have to apply the concepts you have learned to solve them. Practising CBSE sample paper 2027 Class 12 Maths solutions significantly improves your problem-solving skills.
Practice sessions are one of the best ways to identify those weak chapters where you might lose marks in the actual exam if left unimproved. This is why the CBSE Class 12 Maths sample paper PDF is used by the majority of students as a self-assessment tool.
The more CBSE 12 Maths sample paper 2026-27 you practise under exam-like conditions, the more comfortable you become with the actual exam pattern and question types. This helps reduce your exam anxiety and boosts your confidence for the exam day.

How to Prepare for CBSE 12 Maths Sample Paper 2026-27?

Before solving the full-length sample paper Class 12 CBSE 2026-27 Maths free, you should ensure that all units are covered fully, or at least 60% of the syllabus. To help you strengthen your fundamentals and improve your problem-solving skills, here is the unit-wise preparation strategy:

Unit-Wise Preparation Strategy for CBSE Class 12 Maths
Unit	Preparation Strategy
Relations and Functions	Revise types of relations, functions, composition of functions, and inverse functions. Don’t waste time on memorising definitions and focus on understanding concepts.
Algebra	Through textbook exercises and solved examples, practise operations on matrices, determinants, properties, and applications. Also, arrange and solve a variety of questions in the CBSE sample papers for Class 12 Maths year-wise that involve matrix equations and determinant-based problems.
Calculus	This is one of the most important units in this class because it has the highest weightage. Make sure you have mastered continuity, differentiability, applications of derivatives, integration, and differential equations through regular practice before solving the CBSE sample paper 2027 Class 12 Maths PDF.
Vectors and Three-Dimensional Geometry	Vector operations, direction ratios, direction cosines, equations of lines, and planes are worth focusing on. To improve visual understanding, also practice drawing diagrams wherever required in the CBSE Class 12 Maths sample paper 2026-27 PDF download.
Linear Programming	In this unit, you need to learn how to formulate constraints and objective functions. Make sure you are practicing graphical solutions to improve accuracy.
Probability	Before attempting the CBSE Class 12 Maths sample paper 2026-27, revise conditional probability, Bayes' theorem, random variables, and probability distributions. Pay attention to understanding how concepts work behind formulas.

Conclusion

The CBSE Maths sample paper Class 12, along with solutions and marking schemes, is the ultimate practice resource for board exam preparation. Along with helping you become familiar with the latest exam pattern and question types, they enable you to develop crucial exam-related skills such as speed, accuracy, and problem-solving abilities. When you solve multiple sets of sample papers under actual exam conditions, they will reveal your weak areas and help you improve your overall performance. This is a practice-oriented subject, and that is why consistent question practice is important for scoring higher marks. Therefore, download the Maths sample papers from the links provided in this article and make them a part of your preparation strategy to increase your chances of scoring higher marks in the final exam.

FAQs

Need answers? Find them here...

One common mistake in the CBSE Maths sample paper Class 12 is that students focus only on the final answer. Instead, you should focus on writing out step-by-step solutions and showing their calculations to secure step-wise marking.

Yes, 100%. Case-study questions are an important part of the latest CBSE Class 12 Maths sample paper 2026-27 PDF download. To solve such questions, you are required to comprehend contextual information, apply mathematical concepts, and solve multiple related questions.

You should aim to solve 15+ full-length CBSE sample papers for Class 12 Maths year-wise before the examination to score above 95%. However, a minimum of 6–10 papers is mandatory if you want your scores to be higher than average.

Special attention should be given to chapters such as Calculus, Algebra, Vectors and Three-Dimensional Geometry, Probability, Relations and Functions, and Matrices. These cover a large portion of the Class 12 syllabus, and students require a strong conceptual understanding to be able to solve the CBSE 12 Maths sample paper 2026-27.

Based on the latest exam pattern, the CBSE sample paper 2027 Class 12 Maths solutions include MCQs, assertion-reason questions, case-study-based questions, short-answer questions, and long-answer questions. Through these question types, the board examines your conceptual understanding and problem-solving skills.

One of the best strategies is to study the chapters properly, revise concepts before attempting the papers, and solve the CBSE Maths sample paper 2027 Class 12 in an exam-like environment. Furthermore, analyse your mistakes using our expert-created Maths solutions and revise those weak topics again before attempting another SQP.