Studienkolleg entrance exam · T-Kurs
Studienkolleg der Johannes Gutenberg-Universität Mainz (ISSK)
For the T-Kurs at Studienkolleg der Johannes Gutenberg-Universität Mainz (ISSK), the entrance test (Aufnahmeprüfung) is: Mathematics (electronic test). Here is what the official pages say, and what they leave out.
In Mainz, German is proven with a certificate at application; the entrance test itself is an electronic subject test.
Mathematics (electronic test) · Not published by the Kolleg
Electronic subject test in maths. The Kolleg offers electronic sample tests.
Generated by the same engine as the Kollego course, at a level close to the entrance math. Pick an answer in your head, then open the solution.
1. Solve for x: 4(x + 1) − 11 = 2x + 5
Answer: 6
Expand, collect x-terms on one side, constants on the other, divide.
Expand: 4x + 4 − 11 = 2x + 5, then isolate x.
2. A = [-4, 1], B = (-1, 4) How many integers lie in A ∩ B?
Answer: 2
The intersection runs from the larger left end to the smaller right end; a round bracket excludes its end.
A ∩ B = (-1, 1]: 2 integers.
3. A circle has radius 6. A sector of the circle has a central angle of 60°. What is the area of the sector, expressed as a multiple of π? (e.g. an area of 5π has answer 5)
Answer: 6
Sector area = (θ/360) × πr².
(60/360) × π×6² = (60/360) × 36π = 6π.
Mathematics (electronic test): Electronic subject test in maths. The Kolleg offers electronic sample tests.
In Mainz, German is proven with a certificate at application; the entrance test itself is an electronic subject test.
The Kolleg does not publish this. If it matters for you, ask the Kolleg directly.
The Kolleg does not publish this. If it matters for you, ask the Kolleg directly.
The Kolleg does not publish this. If it matters for you, ask the Kolleg directly.
Checked against the official pages on 1 November 2026. Formats change: always confirm on the Kolleg's own site before your test.
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