ICSE 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 19 chapters, time you, and explain every wrong answer. These are practice papers made by LerkAI, not official ICSE 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. GST
  2. Banking
  3. Shares and Dividends
  4. Linear Inequations
  5. Quadratic Equations
  6. Ratio and Proportion
  7. Factorisation
  8. Matrices
  9. Arithmetic Progression
  10. Geometric Progression
  11. Coordinate Geometry
  12. Similarity
  13. Loci
  14. Circles
  15. Constructions
  16. Mensuration
  17. Trigonometry
  18. Statistics
  19. Probability

Frequently asked questions

Are these official ICSE sample papers?

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