Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

The best way to complete your Class 12 Maths board preparation is to solve full-length sample papers under exam conditions. This category provides solved CBSE Class 12 Maths sample papers, previous-year sample papers and CBSE practice questions with detailed, step-by-step solutions.

Students can begin with the latest CBSE Class 12 Maths Sample Paper for the 2026 Boards and then solve earlier papers from the 2018 to 2025 board cycles. The category also includes the MCQ-based Term 1 and subjective Term 2 sample papers released for the 2022 examination.

Every paper is divided into individual questions, making it easy to attempt, check and revise one question at a time. The solutions explain the complete method instead of providing only the final answer. Question-wise video explanations are also available for the latest sample-paper questions.

What will you find in this category?

This Class 12 Maths sample-paper collection includes:

• CBSE Class 12 Maths Sample Paper for 2026 Boards

• CBSE Class 12 Maths Sample Paper for 2025 Boards

• Sample papers from previous board years

• CBSE Maths practice questions for the 2023 Boards

• CBSE Class 12 Term 2 Sample Paper for 2022

• MCQ-based Term 1 Sample Paper for 2022

• Question-wise, step-by-step solutions

• Solutions to internal-choice questions

• Chapter-wise paper and marks analysis

• Explanations of formulas and methods

• Video solutions for the latest paper

The latest Class 12 Maths sample paper is arranged question by question, including separate pages for internal alternatives and the different parts of case-study questions. This allows students to navigate directly to the question they want to study.

Why should you solve CBSE Class 12 Maths sample papers?

Completing NCERT exercises gives you chapter-wise preparation. A sample paper tests whether you can combine concepts from the entire Class 12 Maths syllabus and apply them correctly within a limited time.

Solving sample papers regularly helps you:

• Understand the latest CBSE Class 12 Maths paper pattern

• Become familiar with the distribution of questions and marks

• Practise MCQs and competency-based questions

• Prepare for short-answer and long-answer questions

• Learn how to attempt case-study-based questions

• Improve speed in lengthy calculations

• Identify weak chapters before the board examination

• Practise selecting between internal choices

• Reduce avoidable calculation and sign errors

• Improve the presentation of mathematical working

• Develop an effective time-management strategy

• Build confidence for the final board examination

Many students revise formulas repeatedly but do not test whether they can recognise which formula is required in a mixed paper. Sample-paper practice solves this problem. Since the chapter name is not written beside each question in the board exam, students must first identify the concept and then choose the correct method.

Step-by-step solutions for every question

Class 12 Maths contains several topics in which the final answer alone is not enough. Students must show the relevant formula, intermediate steps, calculations and conclusion.

Teachoo’s Class 12 Maths sample-paper solutions explain questions in a logical sequence. Complicated calculations are broken into smaller steps so that students can understand why each operation is performed.

This is especially helpful in questions involving matrices, determinants, differentiation, integration, differential equations, vectors, three-dimensional geometry and probability. If your answer is incorrect, you can compare each stage of your working with the solution and identify the exact step where the mistake occurred.

The solutions also help students learn proper answer presentation. In a board examination, writing organised steps can make an answer easier to evaluate and may help the student receive marks for the correct method even when a later calculation goes wrong.

Class 12 Maths chapters covered

The CBSE sample papers include questions from the prescribed Class 12 Maths syllabus. Depending on the year and paper, students may find questions from:

• Relations and Functions

• Inverse Trigonometric Functions

• Matrices

• Determinants

• Continuity and Differentiability

• Applications of Derivatives

• Integrals

• Applications of Integrals

• Differential Equations

• Vector Algebra

• Three-Dimensional Geometry

• Linear Programming

• Probability

The papers contain questions of different difficulty levels. Some questions test direct knowledge of a formula or concept, while others require reasoning, graphical interpretation or the application of two or more ideas.

By solving papers from different years, students can see how the same chapter may be tested using an MCQ, a short numerical problem, a proof, an application-based question or a case study.

How to use these sample papers effectively

Do not begin by reading the solutions. That creates familiarity, not exam readiness.

First, select the latest CBSE Class 12 Maths sample paper and attempt it in one uninterrupted sitting. Follow the time and marks mentioned in the selected paper. Keep your textbook, notes and solution pages closed while solving.

After completing the paper, check every answer using Teachoo’s detailed solutions. Classify every mistake under one of these headings:

• Concept not understood

• Formula not remembered

• Incorrect method selected

• Calculation or sign error

• Question read incorrectly

• Working not shown properly

• Question left because of poor time management

This classification matters because different mistakes require different corrections. A concept error needs revision. A calculation error needs slower and more organised working. A time-management error requires timed practice.

Next, solve every incorrect question again without looking at the answer. If you still cannot solve it, revise the corresponding NCERT concept and return to the question.

After finishing the latest paper, move backwards through the previous-year sample papers. This gives you more variety while keeping the latest paper as the main reference for the current exam format.

Latest paper versus previous-year papers

The latest CBSE Class 12 Maths sample paper should be attempted first because it represents the most relevant structure for the upcoming board examination.

Previous-year sample papers are still extremely useful. Although the exact pattern and distribution of question types may change, the main mathematical concepts remain important. Earlier papers provide additional practice and reveal the different ways in which CBSE can test the same topic.

The 2022 Term 1 and Term 2 papers are particularly useful as specialised practice sets. The Term 1 paper provides concentrated objective-question practice, while the Term 2 paper provides additional subjective questions. However, students should use the latest official sample paper—not the 2022 term-wise format—to understand the current examination structure.

Frequently asked questions

Which Class 12 Maths sample paper should I solve first?

Begin with the latest sample paper for your board year. It gives you the clearest idea of the current question types and paper structure. Once you complete it, solve the previous-year papers for additional practice.

Are step-by-step solutions available?

Yes. Questions are solved individually with the formula, method, calculations and final answer explained in sequence. Internal-choice questions and case-study subparts are also handled separately wherever required.

Are these sample papers useful for school pre-board examinations?

Yes. Pre-board papers are generally based on the same syllabus and broadly similar question types. Solving full CBSE sample papers can improve syllabus recall, answer presentation and time management for both pre-boards and boards.

How many sample papers should a Class 12 student solve?

There is no useful target unless you analyse your mistakes. Solving five papers carefully—checking errors and reattempting weak questions—is better than rushing through fifteen papers without correction. Continue until you can finish the paper on time with stable accuracy.

Should I solve NCERT or sample papers first?

Complete the NCERT examples, exercises and important questions first. Sample papers should then be used to test your full-syllabus preparation. If a sample paper reveals a weak chapter, return to the NCERT material, revise it and reattempt the question.

Can previous-year sample papers help with competitive examinations?

They are primarily designed for CBSE board preparation. However, they can strengthen NCERT concepts, calculation accuracy and mathematical reasoning, which are also useful for entrance-exam preparation. They should not replace dedicated JEE or other competitive-exam questions.

Choose a paper, set a timer and start solving. Do not merely read the solutions. Attempt every question on paper, check every step and correct every mistake. That is how CBSE Class 12 Maths sample papers become marks in the board examination.