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Key Facts: Saarland Abitur Mathematics Exam

Compulsory Kernfach

Mathematik is one of three Kernfächer every Saarland Abitur candidate must take as a written Prüfungsfach

GOS-VO Saarland

270–300 / 210–240 min

Written exam time: Leistungsfach 270–300 minutes, Grundfach 210–240 minutes

GOS-VO Saarland written-exam time bands

06.05.2026

Fixed statewide written main date for Mathematik in the 2026 Abitur

Termine Gymnasien 2026 (Bildungsserver Saarland)

3 core areas

Content is organized around Analysis, Analytische Geometrie/Lineare Algebra, and Stochastik

GOS-VO Saarland; Lehrpläne Gymnasiale Oberstufe

200 / 100 points

Minimum Gesamtqualifikation: 200+ points from Block I, 100+ points from the five Abiturprüfungsfächer (Block II)

GOS-VO Saarland

Free 100-question MCQ study bank for Saarland Abitur Mathematik (compulsory Kernfach). Official exam: structured problems across Analysis, Analytische Geometrie, and Stochastik; Leistungsfach 270–300 / Grundfach 210–240 min. Written date 06.05.2026. Not an official format simulation; no fee for regular school candidates.

Sample Saarland Abitur Mathematics Practice Questions

Try these sample questions to review concepts for the Saarland Abitur Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the derivative of f(x) = x^5?

A.f'(x) = 5x^4

B.f'(x) = x^4

C.f'(x) = 5x^5

D.f'(x) = x^6/6

Explanation: By the power rule, d/dx[x^n] = n·x^(n-1), so the derivative of x^5 is 5x^4.

2Given f(x) = x^3 − 3x, what are the x-coordinates of the critical points where f'(x) = 0?

A.x = 1 and x = −1

B.x = 0 only

C.x = 3 and x = −3

D.x = 1 only

Explanation: f'(x) = 3x^2 − 3. Setting 3x^2 − 3 = 0 gives x^2 = 1, so x = 1 or x = −1.

3For f(x) = x^3 − 3x, using f''(x) = 6x, what type of extremum occurs at x = 1?

A.A local minimum, since f''(1) = 6 > 0

B.A local maximum, since f''(1) = 6 > 0

C.A local minimum, since f''(1) = 6 < 0

D.An inflection point, since f''(1) = 0

Explanation: Since f''(1) = 6 > 0, the function is concave up at x = 1, indicating a local minimum (second derivative test).

4What is the y-value of the local minimum of f(x) = x^3 − 3x at x = 1?

A.f(1) = −2

B.f(1) = 2

C.f(1) = 0

D.f(1) = −4

Explanation: f(1) = 1^3 − 3(1) = 1 − 3 = −2.

5What is the derivative of f(x) = x^2 · sin(x), using the product rule?

A.f'(x) = 2x·sin(x) + x^2·cos(x)

B.f'(x) = 2x·cos(x)

C.f'(x) = x^2·cos(x)

D.f'(x) = 2x·sin(x) − x^2·cos(x)

Explanation: The product rule gives (uv)' = u'v + uv'. With u = x^2 (u' = 2x) and v = sin(x) (v' = cos(x)), f'(x) = 2x·sin(x) + x^2·cos(x).

6What is the derivative of f(x) = (2x + 1)^3, using the chain rule?

A.f'(x) = 6(2x + 1)^2

B.f'(x) = 3(2x + 1)^2

C.f'(x) = 6(2x + 1)^3

D.f'(x) = 2(2x + 1)^2

Explanation: By the chain rule, the derivative of (2x+1)^3 is 3(2x+1)^2 multiplied by the derivative of the inner function (2x+1)', which is 2, giving 6(2x+1)^2.

7What is the derivative of f(x) = 1/x (for x ≠ 0)?

A.f'(x) = −1/x^2

B.f'(x) = 1/x^2

C.f'(x) = −1/x

D.f'(x) = ln(x)

Explanation: Rewriting f(x) = x^(−1) and applying the power rule gives f'(x) = −1·x^(−2) = −1/x^2.

8Where does f(x) = x^3 have an inflection point (Wendepunkt)?

A.x = 0, since f''(x) = 6x changes sign there

B.x = 1, since f'(1) = 3

C.x = −1, since f(−1) = −1

D.There is no inflection point

Explanation: f''(x) = 6x; this equals zero and changes sign at x = 0, confirming a genuine inflection point (concavity changes from down to up).

9For a quartic function with negative leading coefficient, f(x) = −x^4 + 2x^2, what is the end behavior as x → ±∞?

A.f(x) → −∞ in both directions

B.f(x) → +∞ in both directions

C.f(x) → −∞ as x→∞ and f(x) → +∞ as x→−∞

D.f(x) approaches a constant value

Explanation: For an even-degree polynomial with a negative leading coefficient, both ends of the graph point downward, so f(x) → −∞ as x → ±∞.

10What is the derivative of f(x) = e^x?

A.f'(x) = e^x

B.f'(x) = x·e^(x−1)

C.f'(x) = e^(x−1)

D.f'(x) = 1

Explanation: The exponential function e^x is its own derivative: d/dx[e^x] = e^x.

About the Saarland Abitur Mathematics Exam

Saarland Abitur Mathematik is the compulsory written Kernfach examination covering Analysis, Analytische Geometrie/Lineare Algebra, and Stochastik, administered under the GOS-VO. It assesses procedural computation, modeling, and justified argumentation across differential and integral calculus, vector geometry, and probability/statistics. This free MCQ bank, including genuine worked-calculation items, trains the underlying content before students practise the official structured, CAS-supported written exam.

Exam sponsor: Ministerium für Bildung und Kultur Saarland (MBK). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official written Saarland Abitur Kernfach Mathematik. Candidates solve multi-part structured problems spanning Analysis (calculus), Analytische Geometrie/Lineare Algebra, and Stochastik, typically with both a calculator-free section and a section permitting a graphing/CAS calculator. This 100-question bank is an MCQ study adaptation only — it does not simulate the real free-response/CAS-tool exam.

Time Limit

Leistungsfach/E-Kurs: 270–300 minutes; Grundfach/G-Kurs: 210–240 minutes (GOS-VO written-exam time bands). Written main date: Wednesday 6 May 2026.

Passing Score

Subject performance is reported on the 0–15 Punkte scale. The Gesamtqualifikation requires at least 200 of 40 Halbjahresergebnisse (Block I) plus at least 100 points from five Abiturprüfungsfächer at 4x weighting (Block II), with at least 20 points (4x weighting) in three Prüfungsfächer including one Leistungsfach, and no 0-point grade (GOS-VO Saarland).

Exam / Certification Fees

No exam fee for regular school candidates; Mathematik is a compulsory Kernfach in the state-administered Saarland Abitur under the GOS-VO. External-candidate arrangements, where they exist, are school/authority-specific and not a published fee.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

Study emphasis ~22%

Analysis: functions and derivatives

Differentiation, extrema, inflection points, and curve sketching.

Study emphasis ~16%

Analysis: integrals

Definite/indefinite integrals and area/accumulation applications.

Study emphasis ~24%

Analytische Geometrie / Lineare Algebra

Vectors, lines, planes, distances, angles, and linear systems.

Study emphasis ~22%

Stochastik

Probability distributions, binomial distribution, and hypothesis testing.

Study emphasis ~10%

Exponential/logarithmic functions

Growth/decay modeling and function-family properties.

Study emphasis ~6%

Exam method and interpretation

Modeling context and justification standards for written responses.

Preparing for the Saarland Abitur Mathematics Exam

What You Need to Know

Passing score: Subject performance is reported on the 0–15 Punkte scale. The Gesamtqualifikation requires at least 200 of 40 Halbjahresergebnisse (Block I) plus at least 100 points from five Abiturprüfungsfächer at 4x weighting (Block II), with at least 20 points (4x weighting) in three Prüfungsfächer including one Leistungsfach, and no 0-point grade (GOS-VO Saarland).
Assessment: Official written Saarland Abitur Kernfach Mathematik. Candidates solve multi-part structured problems spanning Analysis (calculus), Analytische Geometrie/Lineare Algebra, and Stochastik, typically with both a calculator-free section and a section permitting a graphing/CAS calculator. This 100-question bank is an MCQ study adaptation only — it does not simulate the real free-response/CAS-tool exam.
Time limit: Leistungsfach/E-Kurs: 270–300 minutes; Grundfach/G-Kurs: 210–240 minutes (GOS-VO written-exam time bands). Written main date: Wednesday 6 May 2026.
Exam / certification fees: No exam fee for regular school candidates; Mathematik is a compulsory Kernfach in the state-administered Saarland Abitur under the GOS-VO. External-candidate arrangements, where they exist, are school/authority-specific and not a published fee. Official sources

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Saarland Abitur Mathematics: Suggested Study Strategy

1Practise all three core areas (Analysis, Analytische Geometrie, Stochastik) weekly rather than mastering one and neglecting the others — the written exam draws from all three.

2Work both calculator-free and CAS/GTR-supported problems, since the real exam usually includes both formats.

3Show full justification steps, not just final answers — written exam grading rewards documented reasoning.

4Master standard problem contexts: optimization, growth/decay modeling, and geometric distance/angle problems recur across years.

5After MCQ concept work, practise real structured multi-part problems — MCQs build content recognition, not extended written justification skill.

Frequently Asked Questions

Is the official Saarland Mathematik Abitur exam multiple-choice?

No. The official written paper is a structured problem-solving exam across Analysis, Analytische Geometrie, and Stochastik, typically with calculator-free and CAS/GTR-supported parts. This bank is an MCQ study adaptation, not an official format simulation.

Is Mathematik compulsory in the Saarland Abitur?

Yes. Mathematik is one of the three Kernfächer every candidate must take (with Deutsch and a Fremdsprache), and it must always be a written Prüfungsfach.

How long is the written exam?

Leistungsfach/E-Kurs candidates write 270–300 minutes; Grundfach/G-Kurs candidates write 210–240 minutes, under the GOS-VO time bands.

When is the written exam in 2026?

Wednesday 6 May 2026 (main session). Nachtermine written exams run 22–29 May 2026.

Is there an exam fee?

No. The Abitur is a state school examination under the GOS-VO; regular school candidates pay no fee.

Free Practice Questions for Saarland Abitur Mathematics

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