Studienkolleg entrance exam · all tracks
Studienkolleg Coburg (Hochschulen für angewandte Wissenschaften in Bayern)
At Studienkolleg Coburg (Hochschulen für angewandte Wissenschaften in Bayern), every applicant sits the same entrance test (Aufnahmetest), whatever the track: German (about 60 min) and Mathematics (45 min).
Coburg prepares for universities of applied sciences in Bavaria. Its courses are TI (technical) and WW (business), the equivalents of T and W. You need an application and admission before you can sit the test.
German · about 60 min
45 to 60 minutes: reading comprehension and language structures, above B1.
Mathematics · 45 min
Terms and power and log laws; linear, fractional, quadratic, root, exponential and trigonometric equations, inequalities and systems; percentages; geometry (triangles, Pythagoras, sine and cosine, circles, solids); functions. A simple scientific calculator is allowed, no formula sheet.
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: log₂(4)
Answer: 2
logₐ(x) asks: to what power must a be raised to get x?
2² = 4, so log₂(4) = 2.
2. Simplify 6x − 5 + 4x + 4, then evaluate at x = 2.
Answer: 19
Combine like terms first, then substitute the value of x.
Simplified: 10x − 1. At x = 2: 10·2 − 1 = 20 − 1 = 19.
3. In a right triangle the hypotenuse is 40 and sin θ = 6/10. How long is the side opposite θ?
Answer: 24
sin θ = opposite / hypotenuse, so opposite = hypotenuse · sin θ.
40 · (6/10) = 24.
German: 45 to 60 minutes: reading comprehension and language structures, above B1. Mathematics: Terms and power and log laws; linear, fractional, quadratic, root, exponential and trigonometric equations, inequalities and systems; percentages; geometry (triangles, Pythagoras, sine and cosine, circles, solids); functions. A simple scientific calculator is allowed, no formula sheet.
about 105 min in total: German (about 60 min) and Mathematics (45 min).
Yes.
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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