State examination in mathematics for the teaching profession at Gymnasien

On the following pages you will find hints and a collection of former state examination tasks for the teaching profession at grammar schools.

The materials have been compiled by different chairs of the Technical University of Munich and are primarily intended to be an aid for students of the TUM who want to prepare for the first state examination in mathematics. This does not imply any claim or guarantee of general validity.


  • Subject didactics
  • Algebra (linear algebra, algebra and elements of number theory) (Gymnasium)
  • Calculus (Gymnasium)

General information

  • General information about the state exam on the KM site.

For the state examination in mathematics our chair offers a preparation course every semester (in one block).