Free JEE Mains Practice Problems — Untimed, with Stepwise Solutions
Real past JEE Mains math problems with detailed step-by-step walkthroughs. Type your answer (smart matching for fractions, radicals, decimals) or reveal the full solution on demand. Untimed · single problem at a time · no signup.
Free JEE Mains math practice — untimed, with step-by-step solutions
If you're preparing for JEE Mains, the highest-leverage activity is solving past problems and reading worked solutions written by experienced solvers. This page gives you that, free and untimed.
Each session loads a fresh random problem with the math rendered in KaTeX. The pool covers all JEE Mains math topics — sequences and series, complex numbers, matrices, determinants, vectors, 3D geometry, conic sections, calculus (limits, derivatives, integrals), probability and statistics, differential equations, and more. Both MCQ and numerical answer types are included so you train both formats.
How to use it
- Try the problem cold. For MCQ pick A/B/C/D; for numerical type the integer answer.
- Hit Check. Smart matching accepts
1/2↔\frac{1}{2},sqrt(5)↔\sqrt{5}, decimals auto-compare. - Reveal stepwise solution. Full numbered walkthrough — read the misses carefully.
- Print for offline study. Click Print on any problem to save it as a PDF worksheet with branding.
- Click Next problem for a fresh random — repeat. Stats save locally.
Want timed JEE Mains 2025 mocks?
This page is untimed practice. For a live timed mock test running an actual JEE Main 2025 paper (25 questions per shift with the official +4 / −1 / 0 scoring rule), try the shift-wise mocks:
Frequently asked questions
What level are these JEE practice problems?
Real past JEE Mains math problems plus historical pool material — covers MCQ and numerical-answer types across algebra, calculus, coordinate geometry, vectors, probability, and other Mains topics. Difficulty mirrors actual papers.
Is this timed like a real JEE mock?
This page is untimed practice — one problem at a time with full step-by-step solutions on demand. For timed shift-by-shift JEE Main 2025 mocks with +4/−1 scoring, see the JEE Mains 2025 hub.
Can I check my numerical or fractional answer?
Yes. Smart matching accepts 1/2 for \frac{1}{2}, sqrt(5) for \sqrt{5}, decimals automatically compare against fractions. For MCQ pick the option directly.
Can I print problems and solutions?
Yes. Click Print. The print view shows the question and full stepwise walkthrough at print-friendly typography with an 8gwifi.org/math/iit source line — useful as offline worksheets.
Is this also useful for JEE Advanced or NEET?
The pool overlaps significantly with NEET math and the foundational topics for JEE Advanced. Technique vocabulary transfers — use this as a warm-up before deeper JEE Advanced material.
Are my stats saved?
Yes — attempted / correct / streak / best-streak save in your browser's localStorage. Nothing is sent to a server.