CBSE Class 10 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 15 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 roots of x² − 5x + 6 = 0 are:

    Answer: 2 and 3. x² − 5x + 6 = (x − 2)(x − 3), so x = 2 or x = 3.

  2. The 10th term of the AP 3, 7, 11, … is:

    Answer: 39. aₙ = a + (n − 1)d = 3 + 9 × 4 = 39.

  3. The value of sin²θ + cos²θ is:

    Answer: 1. This is the basic trigonometric identity: sin²θ + cos²θ = 1.

Chapters

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equations in Two Variables
  4. Quadratic Equations
  5. Arithmetic Progressions
  6. Triangles
  7. Coordinate Geometry
  8. Introduction to Trigonometry
  9. Some Applications of Trigonometry
  10. Circles
  11. Constructions
  12. Areas Related to Circles
  13. Surface Areas and Volumes
  14. Statistics
  15. 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.

Create a practice paper