Not just a set of problems.
Why problemset exists, how it works, and who's behind it.
Purpose
Most problem banks optimise for volume — thousands of questions, endless drilling, a race to the next one. This isn't that. problemset is small on purpose.
Every question here earned its place because I found it genuinely interesting to think about, not just to solve. The goal is focused practice, not endless scrolling.
The problems worth keeping are the ones that ask you to think outside the general criteria of problem solving.
Philosophy
A good problem doesn't just test whether you know a formula — it asks you to see something. To notice a structure, reframe a question, or find the one observation that makes everything else fall into place.
Those are the problems collected here: ones that reward a shift in perspective rather than a memorised procedure.
How it works
Questions are organised by topic — number theory, trigonometry, calculus, combinatorics and algebra — each with its own colour. Click any question to reveal its answer; where a worked video solution exists, you'll find a link to it.
Search every question with ⌘K, filter by difficulty, mark problems as solved, share a direct link to any single problem, or copy a question as a clean image to send to a friend.
Scope
The set is currently pitched at the undergraduate level, covering five topics. It grows as I do — I add problems as my own mathematics deepens.
Author
I'm Madhup. I built problemset because these problems mattered to me and I wanted a good home for them. If you know a problem you think belongs here, I'd love to see it — and if something looks off, tell me.
Reach me on Discord at @madhupbhardwaj, follow along on Telegram, or email [email protected].