CBSE Class 12 Mathematics sample papers and practice questions

Sample papers work best after you have revised each chapter. Below are a few Mathematics MCQs with answers to check yourself. LerkAI can then create a full practice paper in your board's style for any mix of the 13 chapters, time you, and explain every wrong answer. These are practice papers made by LerkAI, not official CBSE papers, so also solve your board's official sample papers.

How to use this page

  1. Choose the chapters you have finished revising.
  2. Generate a timed practice paper with board-style marks.
  3. Attempt it in one sitting without notes.
  4. Read the explanation for every wrong answer and practise your weakest chapter again.

Practice questions with answers

  1. The derivative of sin x with respect to x is:

    Answer: cos x. d/dx (sin x) = cos x.

  2. ∫ 1/x dx equals:

    Answer: log |x| + C. The integral of 1/x is log |x| + C.

  3. If A is a 3 × 3 matrix with |A| = 4, then |2A| is:

    Answer: 32. |kA| = kⁿ|A| for an n × n matrix, so 2³ × 4 = 32.

Chapters

  1. Relations and Functions
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Continuity and Differentiability
  6. Application of Derivatives
  7. Integrals
  8. Application of Integrals
  9. Differential Equations
  10. Vector Algebra
  11. Three Dimensional Geometry
  12. Linear Programming
  13. Probability

Frequently asked questions

Are these official CBSE sample papers?

No. LerkAI creates practice papers in a board-like pattern. Always also solve the official CBSE sample papers.

How many questions can a practice test have?

You can create practice tests with up to 100 questions and an optional timer.

Does LerkAI explain wrong answers?

Yes. After each test you get an explanation for every question you got wrong.

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