top of page

Preparation Entrance Exam Langgymi 2027 – Mathematics

max. 8 students

Limmatstrasse 65, 8005 Zürich (5 minutes from Zürich main station)

Schedule

Saturday 13:40-14:55

Start 22.8.2026

​

Prices

  • 87.50 CHF per person & lesson (75 minutes)

  • Placement test and individual feedback: 50 CHF

  • Simulation test and individual feedback: 70 CHF

  • Package German & Mathematics incl. 1 Placement Test & 1 Simulation Test: Discount 350 CHF / Total 3'540 CHF (payable per quintal = 3 installments)

 

Course dates and costs  

Summer vacations – fall vacations 2026

  • 22.8. / 29.8. / 5.9. / 12.9. / 19.9. / 26.9.2026 

  • Costs: 525 CHF 

Fall vacations 2026 – Christmas vacations 2026/27: 

  • 24.10. / 31.10. / 7.11. / 14.11. / 21.11. / 28.11. / 5.12. / 12.12.2026

  • Placement test & individual feedback (50 CHF)

  • Costs: 750 CHF 

Christmas vacations 2026/27 – ZAP 2027: 

  • 9.1. / 16.1. / 23.1. / 30.1. / 6.2. / 6.3.2027 

  • Simulation exam & individual feedback (87.50 CHF)

  • Costs: 612.50 CHF

​

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.

​

Aim

The goal of this course is to provide comprehensive preparation for the entrance exam and to ensure students are ready to take the exam in subject mathematics.

​

Program Mathematics

​

Exam preparation (August 2026 – February 2027)

Phase 1 (4 months)

  • 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 (2 months)

  • Mock exams

  • Targeted consolidation of examination tasks

  • Exam-related psychological preparation

  • Exam organisation 

  • 1 complete simulation exam

​​

Exam material mathematics 

Numbers and variables

  • Use mathematical terms and symbols correctly (e.g. summand, divisor, denominator, fraction)

  • Calculate with natural numbers up to 1 million and decimals

  • Represent fractions with simple denominators and decimals

  • Safely apply basic operations with natural numbers

  • Expand and reduce fractions and combine them with natural numbers

  • Adding, subtracting, multiplying and dividing decimals

  • Practising rounding natural numbers and decimals

  • Calculating with decimal numbers in accordance with the calculation rules

  • Apply divisibility rules and find divisors/multiples

  • Recognising and describing mathematical patterns

Geometry and spatial reasoning

  • Using basic geometric terms and symbols correctly

  • Work with figures, lines and points (draw, measure, construct)

  • Naming, sketching and describing geometric solids

  • Reflect, rotate, enlarge, reduce and combine shapes

  • Calculate the perimeter and area of rectangles

  • Calculate the volume of cuboids

  • Assemble figures and solids from views

  • Representing solids in oblique and side views

  • Recognising and drawing networks of cubes and cuboids

  • Estimate and measure angles and work with compasses/geo-triangles

  • Working with coordinate systems and grids

Measurement, functions, and data 

  • Identify, apply and convert units of measurement (e.g. length, time, area and space)

  • Understand and use data, diagrams and mean values

  • Compare, round and calculate quantities

  • Recognise and represent proportionality and functional relationships

  • Calculate with proportional relationships

  • Determine and compare proportions

  • Solve simple combinatorial tasks

bottom of page