Preparation Entrance Exam Langgymi 2027 – Mathematics
4-10 students
Limmatstrasse 65, 8005 Zürich (5 minutes from Zürich main station)
Schedule
Saturday 13:40-14:40
Start 22.8.2026
Costs and course dates per quintal
Price: 87.50 CHF / lesson (75 minutes)
Summer vacations – fall vacations 2026
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22.8. / 29.8. / 5.9. / 12.9. / 19.9. / 26.9.2026
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Costs: 525 CHF
Fall vacations 2026 – Christmas vacations 2026/27:
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24.10. / 31.10. / 7.11. / 14.11. / 21.11. / 28.11. / 5.12. / 12.12.2026
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Placement test & individual feedback (50 CHF)
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Costs: 750 CHF
Christmas vacations 2026/27 – sports vacations 2027:
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9.1. / 16.1. / 23.1. / 30.1. / 6.2.2027
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Simulation exam & individual feedback (87.50 CHF)
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Costs: 612.50 CHF
Conditions
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The current course can be joined at any time, provided there are places available.
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The course fee must be paid before the first course date.
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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)
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Systematic development/repetition and consolidation of all exam-relevant basic skills
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Individualised revision of knowledge gaps and uncertainties
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A wide range of practice exercises based on the exam material or the content of the basic skills
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1 comprehensive placement test
Phase 2 (2 months)
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Mock exams
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Targeted consolidation of examination tasks
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Exam-related psychological preparation
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Exam organisation
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1 complete simulation exam
Exam material mathematics
Numbers and variables
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Use mathematical terms and symbols correctly (e.g. summand, divisor, denominator, fraction)
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Calculate with natural numbers up to 1 million and decimals
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Represent fractions with simple denominators and decimals
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Safely apply basic operations with natural numbers
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Expand and reduce fractions and combine them with natural numbers
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Adding, subtracting, multiplying and dividing decimals
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Practising rounding natural numbers and decimals
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Calculating with decimal numbers in accordance with the calculation rules
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Apply divisibility rules and find divisors/multiples
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Recognising and describing mathematical patterns
Geometry and spatial reasoning
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Using basic geometric terms and symbols correctly
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Work with figures, lines and points (draw, measure, construct)
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Naming, sketching and describing geometric solids
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Reflect, rotate, enlarge, reduce and combine shapes
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Calculate the perimeter and area of rectangles
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Calculate the volume of cuboids
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Assemble figures and solids from views
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Representing solids in oblique and side views
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Recognising and drawing networks of cubes and cuboids
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Estimate and measure angles and work with compasses/geo-triangles
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Working with coordinate systems and grids
Measurement, functions, and data
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Identify, apply and convert units of measurement (e.g. length, time, area and space)
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Understand and use data, diagrams and mean values
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Compare, round and calculate quantities
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Recognise and represent proportionality and functional relationships
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Calculate with proportional relationships
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Determine and compare proportions
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Solve simple combinatorial tasks
