Studienkolleg entrance exam · M-Kurs
Studienkolleg der Johannes Gutenberg-Universität Mainz (ISSK)
For the M-Kurs at Studienkolleg der Johannes Gutenberg-Universität Mainz (ISSK), the entrance test (Aufnahmeprüfung) is: Biology and 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.
Biology and mathematics (electronic test) · Not published by the Kolleg
Electronic subject test in biology and maths.
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. Evaluate: log₁₀(1000)
Answer: 3
logₐ(x) asks: to what power must a be raised to get x?
10³ = 1000, so log₁₀(1000) = 3.
2. Solve for x: √(2x − 16) = 2
Answer: 10
Square both sides to remove the root, then isolate x. Since the right side is already ≥ 0 here, squaring introduces no extraneous root, but always check that the expression under the root is ≥ 0 for your solution.
Square both sides: 2x − 16 = 2² = 4. x = (4 + 16) / 2 = 10. Check: 2(10) − 16 = 4 = 2², and √4 = 2 ✓.
3. Expand (x + 2)². What is the coefficient of x?
Answer: 4
(x + a)² = x² + 2ax + a².
The middle term is 2·a·x = 4x.
Biology and mathematics (electronic test): Electronic subject test in biology and maths.
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.
All Studienkolleg entrance exams
One diagnostic, a projected score, and your first unit. No card, no time limit on the free tier.
Start free, no card needed