CBSE Class 12 Maths Question Bank - Free PDF

Author at PW
October 04, 2025
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CBSE Class 12 Maths Question Bank: Class 12 is one of the most important stages in a student’s life. The marks scored in this exam play a major role in helping students get admission into a good college of their choice. For students from the Science stream, Mathematics is often considered one of the toughest subjects. This is because the topics in Class 12 Maths are more advanced than anything they have studied before. The problems are long, and there are so many formulas to remember and apply. That is why regular practice becomes very important.

From the very beginning, teachers have always said that the more you practise Maths, the better you will understand it. This is especially true for Class 12 Maths. The subject needs both time and consistency. One of the best ways to improve your preparation is by using a class 12 maths question bank. It will give you many different types of questions to solve. Even if the numbers or variables change, you will be able to solve the problems easily because you’ve already practised similar types. Go through the article below to find the Class 12 Maths Question Bank and make your preparation stronger.

Check Out: CBSE Class 12th Books

Important Topics of Class 12 Maths for CBSE Board

Class 12 Maths is a scoring subject, but only if students are clear with the concepts and practice regularly. With so many chapters and formulas to remember, it’s easy to feel confused or stuck. That’s why knowing the important topics becomes really helpful. It saves time and lets you focus on the areas that carry more weight in the board exams. 

Whether you are solving NCERT questions or using a CBSE Class 12 Maths Question Bank, consider covering these topics:-

Chapter Name

Important Topics to Focus On

Relations and Functions

Types of relations, composition of functions

Inverse Trigonometric Functions

Principal values, graphs, and properties

Matrices

Operations, types of matrices, transpose

Determinants

Cofactor, minors, adjoint, and applications

Continuity and Differentiability

Chain rule, logarithmic differentiation

Application of Derivatives

Tangents, normals, maxima & minima

Integrals

Definite and indefinite integration, properties

Application of Integrals

Area under curves between two functions

Differential Equations

Formation, order & degree, general & particular solutions

Vectors

Dot and cross product, projection of vectors

Three-Dimensional Geometry

Direction ratios, line and plane equations

Linear Programming

Graphical method, feasible region

Probability

Bayes’ theorem, conditional probability

CBSE Class 12 Maths Question Bank PDF

Preparing for the CBSE Class 12 board exam requires the right resources, and one of the most effective tools is a CBSE Class 12 Maths Question Bank. There are many question banks available, but choosing the one that matches your level of understanding is very important. A good question class 12 maths question bank should not just provide questions but should also help you understand how to solve them step by step. 

That’s why Physics Wallah (PW) brings you the question bank maths class 12 edition, designed to support your exam preparation in the most effective way. This question bank includes a wide variety of questions based on the latest CBSE pattern, with clear solutions to help students improve their accuracy and speed. Download the question bank maths class 12 PDF using the below link:- 

CBSE Class 12 Question Bank Maths PDF

How to Use PW CBSE Class 12 Maths Question Bank?

Preparing for the CBSE Class 12 board exams is not just about studying hard. It is also about using the right resources. And when it comes to Maths, one of the most helpful tools you can rely on is a good question bank. There are many options available, but choosing the one that matches your understanding and helps you build clarity is what really matters.

A useful question bank should not only give you questions to practice but also guide you through the solutions step by step. This is exactly what Physics Wallah (PW) offers with its CBSE Class 12 Maths Question Bank. It is created to support students in a way that actually makes a difference during board exam preparation:-

1. Understand the Complete Syllabus First

Before starting with question practice, it’s important to first understand the Class 12 Maths syllabus. Knowing what’s in the syllabus helps you plan better, track how much you’ve covered, and focus more on chapters that carry higher marks in the board exam.

The CBSE syllabus covers important chapters like Relations and Functions, Matrices, Determinants, Applications of Derivatives, Integrals, Differential Equations, and a few more. Each chapter has its own weightage and difficulty level.

  • Go through the official CBSE syllabus and list all the chapters.

  • Mark the chapters that usually carry more marks in past board papers.

  • Figure out which ones need strong concepts and which are more about formulas.

2. Read the Chapter Summary and Key Concepts

Before solving the questions, students should make sure they understand the basic concepts of the chapter. PW’s CBSE Class 12 question bank provides important points and key ideas at the beginning of each chapter. This can help students revise the chapter quickly.

  • It also gives an idea about the types of questions that may come from that chapter.

  • Read the chapter summary carefully.

  • Write down important definitions, rules, and theorems.

  • Use a separate notebook to write short summaries in your own words.

3. List and Learn All Important Formulas

Maths has a lot of formulas, and in Class 12, they become even more important. Whether it's derivatives, integration rules, or properties of determinants, these formulas are used in almost every question. If you don’t remember them well, it gets really tough to solve problems.

4. Start Solving Chapter-Wise Questions in a Flow

Once you’ve completed the basics, syllabus, concept, and formulas, it’s time to start solving the questions. PW’s question bank is organised chapter-wise, allowing students to solve problems in a structured way.

  • It allows you to identify strengths and weaknesses topic-wise.

  • It avoids random and confusing question selection.

5. Practice with Previous Years' Questions Included in the Bank

One of the most effective features of the PW question bank is that it includes a solid collection of previous years’ CBSE board questions. These questions help students understand the pattern, marking scheme, and frequency of certain question types.

  • After completing chapter-wise questions, go through the past year’s questions from the same chapter.

  • Attempt them like mock exams, without checking solutions first.

6. Focus on Step-by-Step Solutions and Neat Presentation

In Maths, getting the correct answer is important, but how you write each step also matters. CBSE gives marks for every correct step, not just the final answer. That’s why it’s important to learn the proper way of solving and presenting your answers. CBSE Class 12 Maths question bank shows how to do this in a clear and simple way.

  • Try to follow the solution method shown in the book.

  • Write your answers in clear and proper steps, just like in the board exam.

  • Don’t skip any step, even if it seems small or easy.

7. Note Down Mistakes and Go Back to Them

Everyone makes mistakes while practising. What helps is learning from them. If you keep a note of your mistakes, you’ll know exactly where you’re going wrong and how to fix it.

  • Keep a notebook just for your mistakes and doubts.

  • Write what went wrong. Was it a concept mistake, a calculation error, or a reading mistake?

  • Before tests or exams, go through this notebook. It helps a lot.

8. Use It Along with NCERT for Good Results

NCERT is the most important book for Class 12 board Maths. Most questions in the board exam are based on it. The question bank maths class 12 is made to work with NCERT, not replace it. Using both together will help you cover everything.

  • First, finish the chapter from NCERT and solve its questions.

  • Then open the PW question bank and practise extra questions from the same chapter.

  • Use the question bank maths class 12 pdf to test your understanding after completing the chapter.

Also Check, Class 12 Sample Papers

9. Practice Time Management with Sample Sets

The question bank has full-length practice papers and mixed sets from different chapters. Solving these helps you get used to exam timing and improves speed and accuracy.

  • Choose any full paper and solve it in one sitting with a timer.

  • Treat it like a real board exam. Sit in a quiet place and don’t take breaks.

  • After finishing, check your answers honestly and see where you can improve.

10. Be Regular: A Little Every Day Helps More

Maths is not a subject you can leave for the last minute. You need to practise it regularly. Even if you do just a few questions daily, it makes a big difference.

  • Make a small weekly plan. Try to cover one chapter in a week.

  • Keep 30 to 60 minutes daily just for solving Maths from the question bank Maths class 12.

  • Don’t do the same chapter every day. Mix it up so you stay fresh and revise better.

Read More: NCERT Class 12 Maths Solutions PDF Download

CBSE Class 12 Maths Question Bank  PDF FAQs

Q1: Why is it important to learn formulas in Class 12 Maths?

A: Formulas are the base of Class 12 Maths. Whether you’re solving problems in calculus or working with matrices and determinants, every step depends on knowing the right formula. 

Q2: How can I improve problem-solving speed in Maths?

A: Practise questions daily. Try to solve them without looking at the solutions. Use a timer while solving mock tests. 

Q3: Are NCERT books enough for Class 12 board exam preparation?

A: Yes, NCERT books cover most of what’s asked in the board exams. Make sure you solve all examples and exercises from each chapter. 

Q4: What is the best way to revise a Maths chapter quickly?

A: Go through the summary and key points of the chapter. Write formulas and important steps in a notebook. Solve 3–4 important questions from each topic to recall the method.

Q5: How can I avoid silly mistakes in the Maths exam?

A: Read the question twice before solving. Keep your steps clear and neat. Always double-check your final answer.

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CBSE Class 12 Maths Question Bank - Free PDF