draft project

Road to the Olympiad

problem by problem to nationals

Work seriously toward the national rounds of the mathematical olympiad โ€” past problems, technique, and the long patience of proof โ€” measuring progress in problems truly solved.

A copy carries over only the public parts you see here โ€” the owners' private files never leave their own vaults.

๐Ÿšง Draft โ€” not final. This page was auto-generated as day-one scaffolding for the project and still needs a human pass before it reads as finished. The blanks and placeholders below are intentional โ€” someone who runs this project should fill them in and delete this notice.

Problem log

The heart of the project: every attempt recorded, honestly. The most valuable column is the last one โ€” what the solution knew that we didn't โ€” because olympiad progress is really a collection of ideas, and this is where they get named and kept.

The ladder

IOQM โ†’ RMO โ†’ INMO (fill in this year's dates once the calendar is out.)

Rules

  • Two past-paper problems a week, full write-ups.
  • No peeking before the hour is up โ€” a problem seen too early is a problem wasted.
  • Watch the collected walkthroughs after attempting, never before.

Log

P001 ยท 2026-07-21 ยท (source, e.g. RMO 20xx Q2) ยท topic: _____

  • Time spent: ___ ยท Got it? โ˜ solved โ˜ partial โ˜ stuck
  • My approach: (what I actually tried)
  • The idea I was missing: (the key move โ€” "add and subtract the same term", "count it two ways", "extend the line") โ€” this is the real takeaway
  • Add to the toolkit: (the reusable trick, filed for next time)

Toolkit (grows one problem at a time)

  • (e.g. Pigeonhole; invariants; symmetry; extremal principle โ€” each with the problem where it first bit)