Studienkolleg entrance exam · T-Kurs
Studienkolleg der Technischen Universität Berlin
For the T-Kurs at Studienkolleg der Technischen Universität Berlin, the entrance test (Aufnahmeprüfung) is: German (about 60 min) and Math (60 min). Here is what the official pages say, and what they leave out.
Plan for about 4 hours on the day, from registration to the end of the test.
German · about 60 min
Four C-Tests (cloze texts) on different topics, at B2 level.
Math · 60 min
Eight to ten tasks without any aids, on school math up to grade 10: linear functions, polynomial equations, systems of equations, exponential and logarithmic functions, geometry and unit conversions.
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: log_3(9)
Answer: 2
log_b(x) asks: to what power must b be raised to get x?
3^2 = 9, so log_3(9) = 2.
2. Solve for x: √(2x + 37) = 7
Answer: 6
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 + 37 = 7² = 49. x = (49 − 37) / 2 = 6. Check: 2(6) + 37 = 49 = 7², and √49 = 7 ✓.
3. A circle has radius 4. An arc on the circle subtends a central angle of 270°. What is the arc length, expressed as a multiple of π? (e.g. an arc length of 3π has answer 3)
Answer: 6.0
Arc length = (θ/360) × 2πr.
(270/360) × 2π×4 = 6π.
German: Four C-Tests (cloze texts) on different topics, at B2 level. Math: Eight to ten tasks without any aids, on school math up to grade 10: linear functions, polynomial equations, systems of equations, exponential and logarithmic functions, geometry and unit conversions.
about 120 min in total: German (about 60 min) and Math (60 min).
No. The Kolleg rules out calculators, so practise mental and written arithmetic.
The entrance test can be repeated once.
The Kolleg does not publish this. If it matters for you, ask the Kolleg directly.
Checked against the official pages on 29 September 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