A short starting-point check

Try six untimed questions from different strands. You can skip any question. The result suggests lessons to revisit; it is not a grade, an age placement or a prediction of contest performance. This check is not saved.

Interactive check loads here. You can also choose a route below.

Choose a route yourself

I want a gentle start

Build notation, exact arithmetic, equations and proof habits.

I know school mathematics

Begin with divisibility, residues and integer arguments.

I want to write proofs

Try a written challenge and return to a method when needed.

You do not need to finish one whole subject before exploring another. Follow the prerequisite links inside each lesson.