CBSE Class 12 Maths Sample Question Papers with Solutions - FREE PDF Download

CBSE Class 12 Maths Sample Question Papers with Solutions are considered valuable study resources for students preparing for board exams.

Want to know what to expect in your exams? These papers break down the latest patterns, question styles, and marking systems for every subject in the CBSE Class 12 syllabus.

Practicing these sample papers enables students to enhance their confidence, develop effective time management skills and evaluate their readiness for upcoming board exams.

Each question paper includes detailed solutions that guide students step by step, helping them understand concepts better and improve how they write answers.

CBSE Class 12 Exam Pattern 2025-26: Updated Subject-Wise Marking Scheme, Weightage and Key Changes

The Central Board of Secondary Education (CBSE) has released the latest exam pattern and marking scheme for Class 12 students for the 2025–26 academic session. The board exams are tentatively scheduled to begin in February 2026, and with mid-term exams nearly over, this is the ideal time for students to gear up for full-scale preparation.

Staying informed about the updated question paper format, marking weightage, and key structural changes is crucial for effective exam strategy and time management. The 2025–26 pattern emphasizes competency-based learning, in line with the National Education Policy (NEP) 2020, encouraging analytical thinking and practical understanding over rote memorization.

Question Paper Typology Breakdown

Component

Description

Exam Conducting Authority

Central Board of Secondary Education

Question Paper Pattern

MCQs: 20% 

Competency-based questions (case-based, source-based, or other types): 30% 

Short/long answer type questions: 50%

Total Duration

3 hours

Mode of Examination

Offline

Number of Subjects

5 or 6 (as elected by the student)

Maximum Marks

100 (Theory+Practical) 

80 marks for Maths written exam + 20 marks for internal assessment.

70 marks theory + 30 marks practical for Physics, Chemistry & Biology

80 marks theory + 20 marks project works for Commerce subjects (Accountancy, Business Studies & Economics) 

Passing Marks for Each Subject

33%

Passing Marks for the Overall Exam

Aggregate 33%

Increased weightage for Competency-Based Questions

As per recent updates, the new exam pattern introduces more competency-based questions and reduces the number of constructed response questions by 10% compared to the previous year.

Particulars

Type of Questions

Academic Session 2024-25 (Weightage)

Academic Session 2025-26 (Weightage)

Composition of question paper for year-end exam/ Board Exams (Theory)

Competency Focused Questions in the form of MCQs/ Case-Based Questions, Source-based Integrated Questions, or any other type

40%

50%

Select response-type questions (MCQ)

20%

20%

Constructed response questions
(Short Answer Questions/Long Answer type Questions, as per existing pattern)

40%

30%

 

CBSE Class 10 Mathematics Exam Pattern, Marking Scheme & Weightage 2025-26

The CBSE Class Exam Pattern 2025-26 features an equitable blend of objective and subjective items, aiming to evaluate both analytical reasoning and problem-solving skills.

Category

Information

Total Score

100 Marks (divided into 80 for the written exam and 20 for the internal assessment)

Written Paper Structure

55% Objective Type (MCQs, fill-in-the-blanks, true/false, or very short answer type)

25% Application-Based (Case/Source-based)

20% Descriptive (Short & Long Answers)

Internal Evaluation

Periodic tests (best 2 out of 3 will be counted) and subject-based activities in Mathematics, each carrying 10 marks.

Time Duration

3 Hours for the theory exam

Qualifying Marks

Minimum 33% required per subject and overall total

CBSE Class 12 Mathematics 2025-26 - Marking Scheme

Sections

Type of Questions

Marks

Weightage

A

18 MCQs and 2 Assertion-Reason Based Questions

1

20

B

5 Very Short Answer Type Questions

2

10

C

6 Short Answer Type Questions

3

18

D

4 Long Answer Type Questions

5

20

E

3 Source-Based/Case-Based Questions/Passage-Based/Integrated units of Assessment

4

12

Total Marks

80

CBSE Class 12 Mathematics 2025-26 - Weightage

S.No

Title

Marks

Unit-I

Relations & Functions

8

 

Chapter-1: Relations and Functions

Chapter-2: Inverse Trigonometric Functions

Unit-II

Algebra

10

 

Chapter-3: Matrices

Chapter-4: Determinants

Unit-III

Calculus

35

 

Chapter-5: Continuity and Differentiability

Chapter-6: Application of Derivatives

Chapter-7: Integrals

Chapter-8: Application of Integrals

Chapter-9: Differential Equations

Unit-IV

Vectors & Three-Dimensional Geometry

14

 

Chapter-10: Vector Algebra

Chapter-11: Three Dimensional Geometry

Unit-V

Linear Programming

5

 

Chapter-12: Linear Programming

Unit-VI

Probability

8

 

Chapter-13: Probability

Total

80

Internal Assessment

20

 

CBSE Class 10 Physics Exam Pattern, Marking Scheme & Weightage 2025-26

The CBSE Class 12 Physics exam (2025-26) will be a 100-mark paper, split into a 70-mark theory section and a 30-mark practical section. The theory paper will include MCQs, strategic questions, short answers, and long answers.

Category

Information

Marks Distribution

Theory: 70 marks

Practical/Project Work: 30 marks

Type of Questions

Multiple Choice Questions (38%)

Application-Based Questions (32%)

Descriptive – Short & Long Answers (30%)

Time Duration

The total duration of the written paper is 3 hours.

CBSE Class 12 Physics 2025-26 - Marking Scheme

Sections

Type of Questions

Marks

Weightage

A

16 Questions (MCQs, Very short and Short response)

1

16

B

5 Short Answer Type Questions

2

10

C

7 Short Answer Type Questions

3

21

D

2 Case-Based Questions

4

8

E

3 Short Answer Type Questions

5

15

Theory Total

-

-

70

Practical Exam

Activities, Experiments, Viva and Record work

-

30

Grand Total

Combined Score of Theory and Practical

-

100

CBSE Class 12 Physics 2025-26 - Weightage

S.No

Title

Marks

Unit-I

Electrostatics

16

 

Chapter-1: Electric Charges and Fields

Chapter-2: Electrostatic Potential and Capacitance

Unit-II

Current Electricity

 

Chapter-3: Current Electricity

Unit-III

Magnetic Effects of Current & Magnetism Unit

17

 

Chapter-4: Moving Charges and Magnetism

Chapter-5: Magnetism and Matter

Unit-IV

Electromagnetic Induction & Alternating Currents

 

Chapter-6: Electromagnetic Induction

Chapter-7: Alternating Current

Unit-V

Electromagnetic Waves

18

 

Chapter-8: Electromagnetic Waves

Unit-VI

Optics

 

Chapter-9: Ray Optics and Optical Instruments

Chapter-10: Wave Optics

Unit-VII

Dual Nature of Radiation & Matter

12

 

Chapter-11: Dual Nature of Radiation & Matter

Unit-VIII

Atoms and Nuclei

 

Chapter-12: Atoms

Chapter-13: Nuclei

Unit-IX

Electronic Devices

7

 

Chapter-14: Semiconductor Electronics: Materials, Devices and Simple Circuits

Total Theory Marks

70

Practical Components

Two Experiments (One from each section)

7+7

Practical file (with activities and experiments recorded)

5

One hands-on activity from any section

3

Project work (investigatory type)

3

Viva, based on experiments and a project

5

Practical/Project Work

30

 

CBSE Class 10 Chemistry Exam Pattern, Marking Scheme & Weightage 2025-26

The CBSE Class 12 Chemistry exam for 2025-26 will be 70 marks for the written paper and 30 for practical. The theory paper has five sections with varied question types and weightage.

Category

Information

Marks Distribution

Theory: 70 marks

Practical/Project Work: 30 marks

Type of Questions

Multiple Choice Questions (40%)

Competency-Based Questions (30%)

Descriptive – Short & Long Answers (30%)

Time Duration

The total duration of the written paper is 3 hours.

CBSE Class 12 Chemistry 2025-26 - Marking Scheme

Sections

Type of Questions

Marks

Weightage

A

16 Questions (MCQs, Very short and Short response)

1

16

B

5 Very Short Answer Type Questions

2

10

C

7 Short Answer Type Questions

3

21

D

2 Case-Based Questions

4

8

E

3 Short Answer Type Questions

5

15

Theory Total

-

-

70

Practical Exam

Activities, Experiments, Viva and Record work

-

30

Grand Total

Combined Score of Theory and Practical

-

100

CBSE Class 12 Chemistry 2025-26 - Weightage

S.No

Title

Marks

Unit-1

Solutions

7

Unit-2

Electrochemistry

9

Unit-3

Chemical Kinetics

7

Unit-4

d -and f- f-block elements

7

Unit-5

Coordination Compounds

7

Unit-6

Haloalkanes & Haloarnes

6

Unit-7

Alcohol, Phenols & Ethers

6

Unit-8

Aldehydes, Ketones & Carboxylic Acids

8

Unit-9

Amines

6

Unit-10

Biomolecules

7

Total Theory Marks

70

Practical Components

Volumetric Analysis

8

Salt Analysis

8

Content-Based Experiment

6

Project

4

Class record & viva

4

Practical/Project Work

30

 

CBSE Class 10 Biology Exam Pattern, Marking Scheme & Weightage 2025-26

The CBSE Class 12 Biology exam for 2025-26 will be 70 marks for the written paper and 30 for practical. The theory paper has five sections with varied question types and weightage.

Category

Information

Marks Distribution

Theory: 70 marks

Practical/Project Work: 30 marks

Type of Questions

Multiple Choice Questions (50%)

Competency-Based Questions (30%)

Descriptive – Short & Long Answers (20%)

Time Duration

The total duration of the written paper is 3 hours.

CBSE Class 12 Biology 2025-26 - Marking Scheme

Sections

Type of Questions

Marks

Weightage

A

16 Questions (MCQs, Very short and Short response)

1

16

B

5 Short Answer Type Questions

2

10

C

7 Short Answer Type Questions

3

21

D

2 Case-Based Questions

4

8

E

3 Short Answer Type Questions

5

15

Theory Total

-

-

70

Practical Exam

Acitivities, Experiments, Viva and Record work

-

30

Grand Total

Combined Score of Theory and Practical

-

100

CBSE Class 12 Biology 2025-26 - Weightage

Unit

Title

Marks

Unit VI

Reproduction

16

 

Chapter-1: Sexual Reproduction in Flowering Plants

Chapter-2: Human Reproduction

Chapter-3: Reproductive Health

Unit VII

Genetics and Evolution

20

 

Chapter-4: Principles of Inheritance and Variation

Chapter-5: Molecular Basis of Inheritance

Chapter-6: Evolution

Unit VIII

Biology and Human Welfare

12

 

Chapter-7: Human Health and Diseases

Chapter-8: Microbes in Human Welfare

Unit IX

Biotechnology

12

 

Chapter-9: Biotechnology: Principles and Processes

Chapter-10: Biotechnology and its Applications

Unit X

Ecology

10

 

Chapter-11: Organisms and Populations

Chapter-12: Ecosystem

Chapter-13: Biodiversity and Conservation

Total Theory Marks

70

Practical Components

1 Major experiment

5

1 Minor experiment

4

Slide preparation

5

Spotting

7

Practical record & viva

4

Investigatory Project and its Project Record + Viva

5

Practical/Project Work

30