Schedule

Wednesday 15:00-16:00

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Costs 

• 65 CHF  / per person & lesson (60 minutes)

• Location test: +50 CHF

• Simulation exam: +65 CHF

 

Course dates

Sports holidays - Spring holidays

• 4.3. / 11.3. / 18.3. / 25.3. / 1.4. / 8.4. / 15.4.2026

Spring holidays - Summer holidays 

• 6.5. / 13.5. / 20.5. / 27.5. / 3.6. / 10.6. / 17.6. / 24.6. / 1.7. / 8.7.

Summer vacation - Entrance exam 2027

• Exact dates will be published

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Conditions​

• The current course can be joined at any time, provided there are places available.

• The course fee must be paid before the first course date.

• Participation in the course can be terminated at the end of each quintal without incurring any further costs.

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Aim

The objective of this course is to prepare students for the entrance exam for Kurzgymnasium and HMS (same exam). Students are guided to exam readiness in both mathematics and German.

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Program German

Basic course

March 2026 – July 2026

Focus goal: Improving basic skills 

• Development and practice of core skills and mathematical fundamentals related to the exam material

Preparation course

August 2026 – February 2027

Phase 1 (ca. 4 months)

Focus goal: Work through exam material

• Systematic development/repetition and consolidation of all exam-relevant basic skills

• Individualised revision of knowledge gaps and uncertainties

• A wide range of practice exercises based on the exam material or the content of the basic skills

• 1 comprehensive placement test

Phase 2 (ca. 2 months)

Focus goal: Achieve exam readiness

• Mock exams

• Targeted consolidation of examination tasks

• Exam-related psychological preparation

• Exam organisation

• 1 complete simulation exam

 

Exam material mathematics 

in accordance with the official examination requirements of ZAP1

Arithmetic

• Use terms and symbols correctly

• Order numbers by size

• Apply arithmetic rules correctly (e.g., order of operations or parentheses rules)

• Calculate divisors and multiples of natural numbers

• Factor natural numbers into prime factors

• Determine the greatest common divisor (GCD) and least common multiple (LCM)

• Represent large numbers with powers of ten

• Plot and read pairs of numbers in a coordinate system

• Describe and calculate real-world contexts using numbers

• Perform basic operations, including exponentiation and square roots

Algebra

• Use terms and symbols correctly

• Derive terms from real-world or geometric contexts

• Evaluate terms

• Apply laws and rules

• Derive a linear equation with one unknown from a factual context

• Determine the solution to a linear equation

• Solve formulas for different variables

• Compare and transform algebraic terms (fractions and root terms)

• Multiply out and factor simple terms.

Statistics and probability

• Use terms and symbols relating to data and chance correctly

• Create and interpret bar, line, and pie charts

• Perform calculations using data and charts

• Read values from lists, tables, and charts and determine the arithmetic mean

• Understand and correctly apply the terms “absolute and relative frequency” and “probability”

• Interpret line graphs showing the development of relative frequency in multiple trials.

• Calculate probabilities in single-stage and two-stage random experiments.

Sizes and masses

• Use terms and symbols relating to sizes and masses correctly.

• Use units of measurement and their abbreviations.

• Solve practical problems involving lengths, areas, volumes (solid and hollow masses), weights, and times

• Compare quantities absolutely and relatively

• Perform calculations with percentages and proportions

Functional relationships

• Use terms and symbols relating to functions correctly

• Describe and represent functional relationships

• Represent dependent pairs of quantities in a table or as a graph in a coordinate system

• Interpreting and sketching distance-time graphs and filling graphs of containers

• Recognizing proportional and inversely proportional relationships as such, calculating them, and representing them as graphs

Images and symmetries

• Recognizing and completing figures with axis, rotational, and point symmetry

• Properties of axis reflections and point reflections

Geometry in the plane

• Use terms and symbols correctly

• Use the definitions and properties of special triangles and quadrilaterals (isosceles triangle, equilateral triangle, square, rectangle, rhombus, parallelogram, kite, trapezoid)

• Calculate angles and, where necessary, use the angle sum in triangles and quadrilaterals

• Apply the Pythagorean theorem

• Apply Thales' theorem

• Calculate the perimeter and area of triangles, quadrilaterals, and figures that can be traced back to them

• Use the properties of medians, angle bisectors, and perpendicular bisectors for calculations and simple construction tasks (triangles, quadrilaterals, distance tasks)

• Recognize and construct special points and lines in triangles (altitudes and altitude intersection points, medians and centers of gravity, angle bisectors, inscribed and circumscribed circles)

• Recognize and construct special points and lines in triangles (heights and height intersection, medians and center of gravity, angle bisectors, inscribed and circumscribed circles)

Geometry in space (geometric solids)

• Relate nets and solids

• Sketch the view from the right, top, and front

• Reconstruct the solid from views

• Sketch cubes on graph paper and house paper

• Describe and sketch the movements of cubes and prisms

• Apply the Pythagorean theorem

• Perform volume and surface area calculations

• Apply geometry in the plane in intersection figures

• Use definitions and properties of cubes, cuboids, pyramids, straight prisms, and solids that can be traced back to them

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