Studienkolleg entrance exam · T-Kurs
Studienkolleg der Technischen Universität Darmstadt
For the T-Kurs at Studienkolleg der Technischen Universität Darmstadt, the entrance test (Aufnahmeprüfung) is: German (C-Test) and Math (about 40 min). Here is what the official pages say, and what they leave out.
German (C-Test) · Not published by the Kolleg
Four short texts: complete the second half of every second word.
Math · about 40 min
Linear and quadratic equations, rearranging terms, area and perimeter, coordinate geometry, spatial reasoning, intercept theorems, Pythagoras, functions, percentages and powers.
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. Use (x + 2)² = x² + 4x + 4 to evaluate it at x = 2.
Answer: 16
(x + a)² = x² + 2ax + a².
2² + 4·2 + 4 = 4 + 8 + 4 = 16.
2. Expand (2x + 2)(2x + 5). What is the constant term?
Answer: 10
(ax + p)(cx + q) = ac·x² + (aq + pc)x + pq.
Constant term = p·q = 2·5 = 10.
3. A circle has radius 4. A sector of the circle has a central angle of 90°. What is the area of the sector, expressed as a multiple of π? (e.g. an area of 5π has answer 5)
Answer: 4
Sector area = (θ/360) × πr².
(90/360) × π×4² = (90/360) × 16π = 4π.
German (C-Test): Four short texts: complete the second half of every second word. Math: Linear and quadratic equations, rearranging terms, area and perimeter, coordinate geometry, spatial reasoning, intercept theorems, Pythagoras, functions, percentages and powers.
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.
Admission depends on the number of places available.
Checked against the official pages on 29 September 2026. Formats change: always confirm on the Kolleg's own site before your test.
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