CBSE Competency-Based Questions Class 12 Maths with Answers

This page provides chapter-wise competency-based questions for class 12 maths, helping you practise effectively. CBSE introduced these questions as part of their competency test items in the updated curriculum.

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CBSE Class 12 Maths Competency-Based Questions 2024-25

One of the primary features of the updated exam pattern under NEP 2020 is competency-based questions. Such questions are specially designed to check your conceptual clarity, analytical reasoning, and your ability to apply maths concepts in real life.

Nearly 30% of your question paper for the academic session 2024-25 class 12 maths has these questions. Initially, they seem tough but with regular practice, if approached correctly, they will become a pleasure to solve.

What Do These Questions Look Like?

Competency-based questions for class 12 maths can appear in multiple forms:

  1. Case-based questions: A real-life scenario is given, and you’ll need to analyse it to solve related mathematical problems. For example, integration can be applied to find an area of an irregular plot of land.
  2. Assertion-reason questions: Here, a statement is given with a reason, and you’ll need to determine if both are correct and if one explains the other. Example: Verifying the continuity of a function at a point using limits.
  3. Higher-order thinking skills (HOTS): These involve the creative application of concepts. For instance, using derivatives to model and solve economic optimisation problems.
  4. MCQs with a twist: These are not very straightforward. It often includes close options which require careful calculation, or one has to be conceptually clear to identify the right answer. For example, solving trigonometric equations using identities.

Download Competency-Focused Practice Questions Class 12 Maths PDF

Why waste your time figuring out the correct questions when you can get all practice materials in one click? Class 12 maths competency-based questions PDFs are designed and curated by experts to ensure that you get effective preparation. They contain solved examples, unsolved exercises, and tips to tackle tricky problems.

What’s Inside These PDFs?

  • Chapter-wise questions: Covering all units from Relations and Functions to Probability.
  • Variety of formats: Includes MCQs, case studies, and assertion-reason questions.
  • Answers and explanations: Step-by-step solutions ensure clarity and help address common doubts.
  • Hints for tough questions: Provides clues to help you approach complex problems.
  • Real-world applications: Demonstrates how mathematical concepts apply to practical scenarios, aiding deeper understanding.
  • Exam-focused content: Prioritises the questions most likely to appear in board exams.
  • Additional practice sets: Includes bonus questions for each chapter to strengthen your preparation.

Where to Find Them?

Visit CBSE’s official portal or reliable educational websites like Oswal Publishers. Our question banks are tailored to the latest syllabus and exam pattern, making them invaluable for exam preparation. Read the next part for detailed steps on how to download them.

How to Download CBSE Class 12 Maths Competency-Based Test Items PDF

Downloading CBSE competency-based questions 2024-25 PDF is a straightforward process. Follow these steps:

  1. Go to the CBSE official website: Visit CBSE’s academic website (cbse.gov.in).
  2. Navigate to the academic resources section: Look for the "CBSE Resources" or similar sections on the website.
  3. Select the ‘Assessment’ category: On the header, click on the Assessment option to view related resources.
  4. Search for ‘Competency-Based Test Items’: Locate this section under Class 12 Mathematics.
  5. Download the PDF: Click the available links to save the competency-based questions for class 12 maths.

For easier access and additional practice, you can download papers from Oswal Publishers that include solved examples and unsolved problems. The chapterwise links for all CBSE competency-based questions for class 12 maths have been added below.

Chapter-Wise CBSE Competency-Based Questions Class 12 Maths

Let us break down the types of questions you might face in each chapter. Here are some examples:

Competency-Based Maths Questions for CBSE Class 12
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progression
Chapter 6 Triangles
Chapter 7 Coordinate Geometry
Chapter 8 Introduction to Trigonometry
Chapter 9 Some Applications of Trigonometry
Chapter 10 Circles
Chapter 11 Areas Related to Circles
Chapter 12 Surface Areas and Volumes
Chapter 13 Statistics
Chapter 14 Probability

You can also check answers to all chapter-wise CBSE competency-focused practice questions class 12 maths for on this page as well.

Benefits of Practising Maths Competency-Focused Questions

Wondering why these questions matter? Here’s why:

  1. Real-world relevance: These questions connect textbook concepts to everyday situations, making learning practical and enjoyable.
  2. Enhanced problem-solving skills: Regular practice sharpens your ability to think critically and solve problems efficiently.
  3. Better exam preparedness: These formats reduce anxiety and boost confidence during exams.
  4. Higher scores: Questions based on competency carry significance in the exam paper, and learning them better can benefit your overall marks.
  5. Boosts conceptual clarity: Helps to reinforce your understanding of core topics.
  6. Develops analytical thinking: Encourages skills that would be required for advanced study or professional fields.
  7. Time management: Teaches you how to approach problems systematically and solve them faster.

How to Use Competency-Focused Questions Class 12 Maths for Maximum Benefits?

To get the most out of CBSE class 12 maths exam practice questions, follow these tips:

  1. Start early: Begin solving competency-based questions as soon as you complete a chapter. This ensures that the concepts are fresh in your mind.
  2. Mix it up: Include different formats—MCQs, case studies, assertion-reason, and HOTS questions—for a comprehensive understanding.
  3. Time yourself: Set a timer while solving questions to simulate exam conditions. This helps improve your speed and accuracy.
  4. Analyse mistakes: Study your mistakes and know where you went wrong. This will help you avoid making the same mistakes again.
  5. Seek help: If you feel a question is tough, ask your teacher or look up online resources to understand it.
  6. Revision: Go through solved questions from time to time to retain concepts.
  7. Mock tests: Attempt full-length tests to gauge your overall preparation and get accustomed to the exam pattern.

To make your preparation smoother, here’s a list of must-have resources:

  1. NCERT textbook: The NCERT textbook for class 12 is essential for building a solid foundation, as it covers all the core concepts and examples aligned with the CBSE syllabus.
  2. Oswal Publishers' question bank: These question banks for class 12 offer a variety of competency-based questions, providing ample practice for the latest exam patterns and syllabi.
  3. YouTube channels: Various YouTube channels provide free video tutorials, breaking down complex topics with easy-to-follow solutions.
  4. School worksheets: Worksheets provided by your school offer additional practice and help you familiarise yourself with the types of questions likely to appear in exams.
  5. Practice books & sample papers: Practice books and sample papers offer a chance to work through realistic exam-style questions, helping you improve speed and accuracy.
  6. CBSE official website: The official CBSE website is a reliable source for updated syllabi, sample papers, and exam guidelines, ensuring you stay informed about the latest changes.
  7. Online learning platforms: Platforms like oswal.io offer interactive lessons and mock tests that help reinforce key concepts and improve problem-solving skills.

Conclusion

Competency-based questions might sound like a tough nut to crack, but with consistent practice and the right resources, you’ll master them with ease. Remember, it’s not just about solving problems—it’s about understanding the ‘why’ behind them. Keep practising, stay curious, and don’t be afraid to make mistakes—they’re the stepping stones to success!

FAQs on CBSE Competency Class 12 maths

Ans: CBQs check your understanding, analytical skills, and real-world application of maths concepts.

Ans: The competency-based question will be for around 30% of the maths question paper.

Ans: You may download the PDFs from CBSE’s website or any reliable publisher such as Oswal Publishers.

Ans: While NCERT books are a must for conceptual clarity, it is advisable to supplement them with other question banks.

Ans: To enhance your performance in CBSE class 12 maths exam practice questions, try solving different types of problems regularly and focusing on understanding the concepts thoroughly. Try to time yourself while practising to enhance speed and accuracy.

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