Mathematics — Previous-Year Question Papers

How is the Mathematics paper set, and which topics repeat? Knowing the exam pattern and the most-asked topics is the fastest way to prepare with past papers.

Frequently examined in Mathematics: Relation reflexive-transitive-not symmetric, Principal range of cot^-1 x, Symmetric and skew-symmetric matrix decomposition, Solving simultaneous linear equations by matrix method, 2x2 determinant equation and value of x, Area of triangle using determinants. See the full ranked list with how often each topic appears on the Mathematics subject page.

How to use past papers: Solve the last few years of papers under timed conditions, mark every topic you miss, and revise those first. The pattern above tells you how marks are split across sections.

Frequently asked questions

Where can I download Mathematics previous-year question papers?

Official Karnataka Board previous-year papers are published on the official Karnataka Board website. Use the official source for authentic papers, then practise with the pattern above.

How many years of Mathematics papers should I solve?

Aim for at least the last 5–10 years of papers. Past papers reveal which topics Karnataka Board asks repeatedly and how the marks are distributed.

Should I solve Mathematics sample papers or previous-year papers first?

Start with the latest sample/model paper to learn the current pattern and marking scheme, then move to previous-year papers to see which topics repeat. Finish with full timed attempts to build exam stamina.

What is the best way to use the marking scheme for Mathematics?

After attempting a paper, score yourself against the official marking scheme to see how marks are awarded step-by-step — not just for the final answer. This shows you exactly where you lose marks and how to present answers the way examiners expect.

How can I prepare for Mathematics faster?

Begin with the most-frequently-asked topics and the last few years of question papers, then test yourself under timed conditions. If you want guided help, you can use the free AI study tutor for Mathematics — practise past-paper questions and get instant feedback — or a focused Mathematics study guide that condenses the syllabus into the topics that matter most — both are free to start.