Mathematics Sample Paper Class 12 | PDF Download for CBSE 2025 Exams

Mathematics can be quite a challenging subject for many students. It is sometimes confusing and hence, requires a lot of practice before the students can appear for their Class 12 Board exams. To help in effective preparation, the Class 12 Math Question paper is an important resource. Here you will get insights into the Maths Sample Paper Class 12th 2024-25, highlighting its importance and structure.

The Sample Paper Class 12 Math is an essential tool without which the exam preparation cannot be completed. It works as a guiding tool helping students understand the types of questions that may appear in exams. The CBSE 12 Math Sample Paper is designed to mirror the actual exam pattern. If teachers or students are looking for valuable examination material to improve the quality of the revision/ practice time, they can go for these CBSE Class 12 Mathematics Sample Papers.

CBSE Class 12 Maths Sample Papers with Solutions

The CBSE has released the Class 12 Math Sample Papers for the Board Exams of the academic year 2024-25 on its official website. Students will be able to download these sample papers directly from this page, available in a year-wise PDF format along with detailed solutions to aid in their preparation.

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We have provided all the links to year-wise Mathematics Sample Papers with their Marking Scheme Solutions.

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2024 CBSE Class 12 Additional Practice Papers 

Including these Class 12 additional math sample papers released by CBSE, it can help in understanding the question paper structure, mark distribution, and the type of questions. Attempt the questions and boost your board exam preparation.

<red> ➜  <red> Class 12 Mathematics Set 1 SQP  + Marking Scheme

<red> ➜  <red> Class 12 Mathematics Set 2  SQP + Marking Scheme

2023-24 Edudel Class 12 Practice Papers 

The Edudel Maths practice papers are released by DOE mainly for Delhi Govt. School. Students, after practicing using the downloaded paper PDFs, can also evaluate and modify their exam preparation strategy.

<red> ➜  <red> Class 12 Mathematics Practice Paper Set 1 

<red> ➜  <red> Class 12 Mathematics Practice Paper Set 2 

Changes as per the 2025 Class 12 Maths Sample Paper

• The latest changes suggest inferential statement-based questions. 
• Graph-based questions have been increased in Section A.
• A ‘true’ statement has been added instead of the “not correct” statement.
• There is also an increase in mathematical expression-based questions in Section A.

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Exam Pattern of Class 12 Mathematics 

Understanding the exam pattern is important for better preparation. The Class 12 Math Question Paper typically follows this structure:

• Section A: Multiple Choice Questions: MCQs in the Sample Paper Class 12 Math are made to test basic knowledge, they cover all the major topics. 20 Multiple Choice Questions are present each carrying 1 mark. 
• Section B: Very Short Answer Questions (VSAQs): Very Short Answer Questions test the conceptual clarity and ability to apply knowledge concisely. These questions require students to write concise answers, there are five Very Short Answer questions each carrying 2 marks.
• Section C: Short Answer Questions (SAQs): These questions test the deep understanding and the ability to explain, there are a total of six short answer type questions carrying 3 marks each. 
• Section D: Long Answer type questions: Long answer type questions often involve multiple steps, there are a total of four Questions carrying 5 marks each. 
• Section E: Case-based questions: These are mostly case-based or source-based questions and often involve complex problem-solving, There are three questions containing 4 marks each.

The total time allotted to solve the paper is three hours and the exam is of 80 Marks. 

Overview of CBSE Class 12 Maths Syllabus

Understanding the syllabus is important for better preparation, it will make you familiar with the course content, The board exam question paper is also designed following the CBSE Class 12 Maths Syllabus, The CBSE Class 12 Maths book contains Six units, Here is a brief overview of the syllabus: 

Unit 1: Relations and Functions

It includes relations and functions, and Inverse trigonometric functions, including Types of relations, one-to-one and onto functions, and graphs of inverse trigonometric functions, this unit carries eight marks in the question paper. 

Unit 2: Algebra

Algebra contains concepts of matrices, Types of matrices, Determinants, determinants of a square matrix, minors, and co-factors. This unit has 10 marks in the Class 12 Maths Question Papers. 

Unit 3: Calculus 

Calculus is an important unit carrying the most marks weightage in the question paper, it has a total of 35 marks weightage and includes some major topics like Continuity and differentiability, applications of derivatives, integrals, Applications of Integrals, and differential equations. Having a strong understanding of this unit is very important to excel in the exam. 

Unit 4: Vectors and Three-Dimensional Geometry 

It explores Vectors and Scalars, magnitudes, directions, and types of vectors including direction cosines, Cartesian Equations, and distance between two angles. The unit Carries 14 marks weightage in the exam.

Unit 5: Linear Programming 

Linear Programming carries a total of five marks weightage in the exam, key topics are feasible and unfeasible regions, Objective functions, and graphical methods of Solutions for problems in two variables. 

Unit 6: Probability 

Probability contains eight marks in the question paper and includes topics like multiplication theorem on Probability, Bayes’ Theorem, Independent events, random variables, and its probability distribution. 

Why should you solve Class XII Mathematics Sample Paper ?

The CBSE Class 12 Math Sample Paper is not just a collection of questions but an essential tool to excel in the board exams. It helps students to: 

1. Understand the Exam Pattern: Familiarise students with the structure, marking scheme, and type of questions, this familiarisation helps in boosting Confidence. 
2. Time Management: Practising with CBSE Sample Paper Maths Class 12 helps manage time effectively to ensure they can complete the paper within the allotted time. 
3. Increased Confidence:  Regular practice boosts confidence, reducing exam anxiety. 
4. Enhanced Understanding: Students better understand how to approach different types of questions. 
5. Self Assessment: Evaluate their preparation level and identify areas that need more focus. 

Importance of Class 12 Maths Question Paper

The CBSE Class 12 Math Sample Paper is not just a collection of questions but an essential tool to excel in the board exams. It helps students to: 

1. Understand the Exam Pattern: Familiarise students with the structure, marking scheme, and type of questions, this familiarisation helps in boosting Confidence. 
2. Time Management: Practising with CBSE Sample Paper Maths Class 12 helps manage time effectively to ensure they can complete the paper within the allotted time. 
3. Increased Confidence:  Regular practice boosts confidence, reducing exam anxiety. 
4. Enhanced Understanding: Students better understand how to approach different types of questions. 
5. Self Assessment: Evaluate their preparation level and identify areas that need more focus. 

How to use 12th Class Math Sample Paper effectively?

To use the Class 12 CBSE Maths Sample Papers effectively, students should:

• Start by carefully going over the material in the NCERT textbooks.
• Try the practise exams in a timed environment to resemble an exam.
• Examine the marking system and solutions to determine the appropriate methodology.
• Examine performance and concentrate on areas that require development.

Tips for Solving Class 12 Maths Question Paper 

To score well in the Class 12 Mathematics board exam, students can adopt the following study tips for better preparation: 

• Read questions carefully. Take time to understand what is being asked before attempting to answer.
• Start with easy questions; answer the questions you are confident about first to secure those marks. 
• Step-wise answering is advised. Even if you get the final answer wrong, partial marks can be awarded for the correct steps.
• Keep an eye on the clock and ensure you have enough time for all sections to manage time. 
• After completing the paper, always review your answers to correct any mistakes.
• Focus on understanding the concepts rather than rote memorisation.
• Math is all about practicing; try to practice questions as much as you can. 
• Take regular mock tests using the CBSE Class 12 Mathematics Sample Paper to stimulate exam-like conditions. 
• Use online resources such as video lectures and math sample papers in class 12 with solutions to clarify doubts. 

The CBSE Class 12 Board exam is the end of school life, but it also opens doors to various future careers. Preparing for the Class 12 Board exam is essential for students, and one of the most crucial subjects is mathematics.

FAQs

1. How to download the CBSE Sample Paper Class 12 Maths for 2024-25 Exams?

CBSE has released the latest 2025 sample paper for class 12th on its official website- cbseacademic.nic.in. You can also easily download the latest class 12 sample paper (for free) for the academic session 2024-25 from- Class 12 Sample Paper 

2. What are the benefits of solving Sample Paper Class 12th Math?

Solving sample papers has become a necessity in today’s education system where CBSE tends to change the pattern almost every year. It is important that students practice as 7-10 sample papers prior exams so that they can be fully aware about the typology of questions and how they can manage time effectively.

3. What are the important topics covered in the Maths Sample Paper Class 12 2024-25?

 The key topics include Algebra, Calculus, Vectors, and Three-dimensional Geometry, Probability, and Linear Programming. 

4. Is Calculus an Important Chapter in the CBSE Math Class 12 Syllabus?

Calculus is a very important chapter in the CBSE Class 12 Math Syllabus, it contains 35 marks on the question paper, which is almost half of the total marks of the exam.