MathGrit competition prep

Olympiad-Style Practice Problems

Practice olympiad-style competition math with challenging geometry, number theory, combinatorics, and proof-driven problem solving.

Practice Plan

  • Start with one or two deep problems and write down the main idea before checking hints.
  • Rotate between geometry, number theory, combinatorics, and algebra so depth does not become topic-lopsided.
  • Redo missed problems after several days and explain the key step in your own words.

Common Topics

  • Synthetic geometry
  • Number theory
  • Combinatorics
  • Inequalities
  • Functional equations
  • Proof strategy

Why MathGrit

  • Difficulty filters keep stretch work from becoming random guessing.
  • Technique pages connect hard problems to reusable solution ideas.
  • Hints can reveal structure before showing a full walkthrough.

Olympiad-style practice FAQ

When should students start olympiad-style practice?

Students should add olympiad-style problems when they are comfortable spending longer on one problem and reviewing the underlying idea, not just the answer.

Is olympiad-style practice the same as AIME practice?

There is overlap in depth, but olympiad-style work often emphasizes proof, structure, and explanation more than integer-answer execution.

Ready for a focused practice set?

Browse problems in the right difficulty band, then use hints, solutions, and review to turn missed problems into repeatable skills.

Browse Olympiad-style problems