Choose the competition and round you are preparing for. Germany has several routes into national IMO selection; Mathematik-Olympiade and Bundeswettbewerb Mathematik are separate competitions.

These are original practice papers in English, with the German competition names retained to help you find your stage. They are not official papers, translations of official questions or selection predictions.

Choose the correct school year and format

The Mathematik-Olympiade sets here target Klasse 9 (school year 9). They are not a complete question library for every German school year. Check your local organiser’s instructions before using a timer. Bundeswettbewerb rounds 1 and 2 are take-home competitions. AIMO entry tests are invitational; completing a practice paper does not make you eligible.

How the German route fits together

In the Mathematik-Olympiade, students progress through the Schulrunde, Regionalrunde, Landesrunde and Bundesrunde. Relevant success in the Bundesrunde is one route to an AIMO invitation. Qualifying performance in Bundeswettbewerb round 2 is another; the BWM colloquium is its own final, not a compulsory extra step before AIMO. The specified Jugend forscht mathematics winners provide a separate project-based route.

After the two initial AIMO examinations, selected students attend seminars and further selection tests before the team of six is chosen. Read the sourced selection guide for the current rules and the official German paper archive guide for released contest papers.

Stages without a fixed written mock here

The Bundeswettbewerb final is a mathematical conversation. Jugend forscht assesses research projects. We explain these routes instead of presenting them as timed written examinations. The later AIMO seminar tests need their own verified format and preparation coverage; they are not represented by the initial-selection mocks.

Turn an attempt into learning

  1. Attempt the paper independently and write down a complete argument.
  2. Use one hint at a time only after a serious attempt.
  3. Compare your proof with the solution, including edge cases and equality conditions.
  4. Review the linked concepts and rewrite the argument without looking.

Proofs are not automatically graded. The optional self-review rubric is editorial study guidance. Print a question-only copy or include solutions using your browser’s Print / Save as PDF option.