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Long-term Preparation Langgymi 2026 – Mathematics

5-10 students

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

Schedule

Saturday 10:00-11:00 

Start 23.8.2025


Costs and course dates per quintal

Price: 65 CHF / lesson (60 minutes)

Summer vacations – fall vacations

  • 23.8. / 30.8. / 6.9. / 13.9. / 20.9. / 27.9.2025 

  • Costs: 390 CHF 

Fall vacations – Christmas vacations 2025/26: 

  • 25.10. / 1.11. / 8.11. / 15.11. / 22.11. / 29.11. / 6.12. / 13.12.2025

  • Costs: 520 CHF 

Christmas vacations – sports vacations 2026: 

  • 10.1. / 17.1. / 24.1. / 31.1.2026

  • Placement test & individual feedback (50 CHF)

  • Costs: 310 CHF

Sports vacations – spring vacations 2026:

  • 28.2. / 7.3. / 14.3. / 21.3. / 28.3. / 11.4.2026 

  • Costs: 390 CHF

Spring vacations – summer vacations 2026

  • 9.5. / 30.5. / 6.6. / 13.6. / 20.6. / 27.6. / 4.7.

  • Placement test & individual feedback (50 CHF)

  • Costs: 505 CHF

Summer vacations 2026 - Entrance Exam 2027

  • exact dates will be published

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 aim of this course is a long-term preparation for the entrance exam to Langgymnasium. The longer time horizon gives the teachers the opportunity to lay a good foundation in all areas relevant to the exam and to work with the students individually on their gaps.

The course is also particularly suitable for children with language challenges (e.g., DAZ/DAF).

Program Mathematics

Foundation year (August 2025 – July 2026)

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

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

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