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Key Facts: Sachsen-Anhalt Abitur Mathematics Exam

3 Sachgebiete

Every Prüfungsteil of the Sachsen-Anhalt Mathematik Abitur covers Analysis, Analytische Geometrie and Stochastik

Hinweise zu den schriftlichen Abiturprüfungen 2026 Mathematik, Anlage 2

255 / 300 min

Written Bearbeitungszeit at grundlegendem and erhöhtem Anforderungsniveau, including Auswahlzeit

Hinweise zu den schriftlichen Abiturprüfungen 2026 Mathematik, Anlage 2

80 / 100 BE

Maximum Bewertungseinheiten on the written paper at grundlegendem and erhöhtem Anforderungsniveau

Hinweise zu den schriftlichen Abiturprüfungen 2026 Mathematik, Anlage 2

06.05.2026

Written Mathematik date in the 2026 main session (Leistungskurs and Grundkurs); Nachprüfung 05.06.2026

Ministerium für Bildung des Landes Sachsen-Anhalt, Terminplan Abiturprüfung 2025/2026

0–15 Punkte

Grading scale for each Prüfungsfach, from Note 1 (15–13 Punkte) to Note 6 (0 Punkte)

Verordnung über die gymnasiale Oberstufe, Sachsen-Anhalt

Kein GTR/CAS

Only a wissenschaftlicher Taschenrechner is permitted in Prüfungsteil 2 — graphing calculators and computer-algebra systems are not approved Hilfsmittel

Hinweise zu den schriftlichen Abiturprüfungen 2026 Mathematik, Anlage 2

Free 100-question English-language MCQ study bank for Sachsen-Anhalt Abitur Mathematik, mapped to the Fachlehrplan Sachgebiete Analysis (~40%), Analytische Geometrie (~30%) and Stochastik (~30%), with worked-calculation explanations. Official exam: German free-response Klausur, 255 min (gA) / 300 min (eA), 80/100 BE, written date 06.05.2026; wissenschaftlicher Taschenrechner allowed in Prüfungsteil 2 only, no GTR/CAS. Not an official-format simulation; no fee for regular school candidates.

Sample Sachsen-Anhalt Abitur Mathematics Practice Questions

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

1Using the limit definition of the derivative, f'(x0) = lim(h→0) [f(x0+h) − f(x0)] / h, find f'(3) for f(x) = x².
A.6
B.9
C.3
D.18
Explanation: [f(3+h)−f(3)]/h = [(9+6h+h²)−9]/h = (6h+h²)/h = 6+h. As h→0 this tends to 6, so f'(3) = 6, matching the power rule f'(x)=2x at x=3.
2Geometrically, what does the Differenzenquotient [f(x0+h) − f(x0)] / h represent for a function graph?
A.The slope of the secant line (Sekante) through the points (x0, f(x0)) and (x0+h, f(x0+h))
B.The slope of the tangent line at x0
C.The y-intercept of the function
D.The area under the graph between x0 and x0+h
Explanation: The Differenzenquotient compares the change in function value to the change in x between two distinct points, which is exactly the slope of the secant line joining them. Only in the limit h→0 does it become the tangent slope (Differentialquotient).
3Let f(x) = x³ − 2x. Using the derivative rules, compute f'(2).
A.10
B.12
C.14
D.2
Explanation: f'(x) = 3x² − 2 by the Potenz- and Faktorregel. At x=2: f'(2) = 3·4 − 2 = 12 − 2 = 10.
4Evaluate the limit lim(x→2) (x² − 4) / (x − 2).
A.4
B.0
C.The limit does not exist
D.2
Explanation: Factor the numerator: (x²−4) = (x−2)(x+2), so the expression simplifies to (x+2) for x≠2. Taking the limit as x→2 gives 2+2 = 4.
5For f(x) = −2x⁴ + 3x, what happens to f(x) as x → +∞?
A.f(x) → −∞
B.f(x) → +∞
C.f(x) → 0
D.f(x) oscillates without a limit
Explanation: For large |x|, the leading term −2x⁴ dominates the lower-degree term 3x. Since the degree is even and the leading coefficient is negative, both ends of the graph fall, so f(x) → −∞ as x → +∞.
6Let f(x) = 5x³ − 4x² + 7. Compute f'(1).
A.7
B.15
C.23
D.11
Explanation: f'(x) = 15x² − 8x by the Potenz-, Faktor- and Summenregel. At x=1: f'(1) = 15 − 8 = 7.
7Let f(x) = x² · eˣ. Using the Produktregel, compute f'(1) exactly.
A.3e
B.2e
C.e
D.e²
Explanation: Produktregel: f'(x) = 2x·eˣ + x²·eˣ = eˣ(2x + x²). At x=1: f'(1) = e·(2+1) = 3e.
8Let f(x) = (2x − 1)⁴. Using the Kettenregel, compute f'(1).
A.8
B.4
C.-8
D.2
Explanation: Kettenregel: f'(x) = 4(2x−1)³ · 2 = 8(2x−1)³. At x=1: (2·1−1)=1, so f'(1) = 8·1³ = 8.
9What is the slope of the tangent line to f(x) = x² − 3x + 2 at x = 4?
A.5
B.8
C.6
D.3
Explanation: f'(x) = 2x − 3. At x=4: f'(4) = 8 − 3 = 5, which is the slope of the tangent (Anstieg der Tangente) at that point.
10For f(x) = x³ − 3x², the critical points are at x=0 and x=2. Which classification is correct?
A.x = 0 is a local maximum and x = 2 is a local minimum
B.x = 0 is a local minimum and x = 2 is a local maximum
C.Both x = 0 and x = 2 are local maxima
D.Both x = 0 and x = 2 are inflection points, not extrema
Explanation: f'(x) = 3x² − 6x = 3x(x−2), giving critical points x=0 and x=2. f''(x) = 6x − 6: f''(0) = −6 < 0 (local maximum), f''(2) = 6 > 0 (local minimum), by the hinreichende Bedingung for extrema.

About the Sachsen-Anhalt Abitur Mathematics Exam

Sachsen-Anhalt Abitur Mathematik is the state Mathematics examination for the Allgemeine Hochschulreife, taken as a Kernfach across all four Kurshalbjahre of the Qualifikationsphase and, for the great majority of candidates, as one of the five Abiturprüfungsfächer, written at grundlegendem or erhöhtem Anforderungsniveau under the Oberstufenverordnung. Its content follows the Fachlehrplan Mathematik Gymnasium (Stand 01.08.2022): Analysis (limits, differentiation and integration of ganzrationale, Exponential-, Logarithmus- and trigonometrische Funktionen, culminating in curve sketching, optimisation and area/volume problems), Analytische Geometrie (vectors, lines, planes and circles in three-dimensional space, including distances and angles), and Stochastik (conditional probability, Bernoulli chains, the binomial and, at Leistungskurs level, normal distribution, and confidence-interval-based inferential statistics). This free bank of 100 original multiple-choice questions is an English-language study adaptation with fully worked calculations, designed to build and check computational fluency across that content. It is not a simulation of the official exam, which is written in German, scored in Bewertungseinheiten and answered with full derivations rather than selected responses.

Exam sponsor: Ministerium für Bildung des Landes Sachsen-Anhalt (MB), supported by the Landesinstitut für Schulqualität und Lehrerbildung (LISA) and the Landesschulamt, using tasks from the IQB-coordinated ländergemeinsamer Aufgabenpool Mathematik. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official written Sachsen-Anhalt Abitur examination in Mathematik, sat either as Leistungskurs (erhöhtes Anforderungsniveau) or Grundkurs (grundlegendes Anforderungsniveau). Both Prüfungsteile always contain tasks from all three Sachgebiete: Analysis, Analytische Geometrie and Stochastik. Prüfungsteil 1 is Hilfsmittel-free and lets the candidate choose Wahlpflichtaufgaben; Prüfungsteil 2 uses complex, multi-part Pflichtaufgaben and permits a Formelsammlung, Zeichengeräte and a wissenschaftlicher Taschenrechner (not a graphing calculator or CAS). This 100-question bank is an English-language MCQ study adaptation only — it does not reproduce the German-language free-response format or the official Aufgabenpool tasks.

Time Limit

255 minutes (grundlegendes Anforderungsniveau) or 300 minutes (erhöhtes Anforderungsniveau), Arbeitszeit einschließlich Auswahlzeit. Candidates decide individually when to submit Prüfungsteil 1 and receive the Hilfsmittel for Prüfungsteil 2, but this must happen within the first 100 minutes (gA) or 110 minutes (eA) without the exam being paused. In 2026 the written Mathematik date was Wednesday 6 May 2026 for both Leistungskurs and Grundkurs, with a Nachprüfung on Friday 5 June 2026; mündliche Prüfungen began 11 May 2026 and Zeugnisse were issued by 3 July 2026.

Passing Score

Subject performance is reported on the 0–15 Punkte scale (Note 1 = 15–13 Punkte, Note 6 = 0 Punkte), derived from the 80 BE (gA) or 100 BE (eA) scored on the written paper. The Gesamtqualifikation requires at least 200 of a possible 600 Punkte in Block I from the Kurshalbjahresergebnisse (§38 Oberstufenverordnung) and at least 100 of a possible 300 Punkte in Block II from the five Prüfungsfächer/-elemente in vierfacher Wertung (§39), with no element scored 0, at least 4 Punkte in each element and at least 20 Punkte in vierfacher Wertung in three or more elements including one auf erhöhtem Anforderungsniveau. The 900-point maximum is converted to the Abitur-Durchschnittsnote via the national KMK table.

Exam / Certification Fees

No exam fee for regular enrolled school candidates; the Abitur is a state school examination in Sachsen-Anhalt. External and Nichtschüler routes are handled by the Landesschulamt and do not carry a published Mathematik-specific fee.

Exam sponsor website

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

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 ~25%

Analysis — Differentialrechnung

Grenzwerte, Differenzen- und Differentialquotient, Ableitungsregeln, Monotonie, Extrem- und Wendepunkte, Kurvendiskussion, Extremwertaufgaben, Newtonverfahren und Funktionsscharen.

Study emphasis ~15%

Analysis — Integralrechnung

Stammfunktion, bestimmtes Integral, Hauptsatz der Differential- und Integralrechnung, Flächen- und Rotationsvolumenberechnung.

Study emphasis ~20%

Analytische Geometrie — Vektoren, Geraden und Ebenen

Skalar- und Vektorprodukt, Geraden- und Ebenengleichungen, Lagebeziehungen und Schnittwinkel im Raum.

Study emphasis ~10%

Analytische Geometrie — Abstände und Kreise

Abstandsberechnungen (Punkt-Gerade, Punkt-Ebene, Gerade-Gerade), Hesse-Normalenform, Kreisgleichungen und Tangenten.

Study emphasis ~9%

Stochastik — Bedingte Wahrscheinlichkeit

Vierfeldertafeln, Verknüpfung von Ereignissen, bedingte Wahrscheinlichkeit und stochastische Unabhängigkeit.

Study emphasis ~15%

Stochastik — Binomialverteilung

Bernoulli-Ketten, Binomialkoeffizient, Kenngrößen binomialverteilter Zufallsgrößen, σ-Umgebungen und (Leistungskurs) Normalverteilung.

Study emphasis ~6%

Stochastik — Beurteilende Statistik

Vertrauens- und Prognoseintervalle, Verträglichkeit eines vermuteten Wahrscheinlichkeitswerts mit einer Stichprobe.

Preparing for the Sachsen-Anhalt Abitur Mathematics Exam

What You Need to Know

  • Passing score: Subject performance is reported on the 0–15 Punkte scale (Note 1 = 15–13 Punkte, Note 6 = 0 Punkte), derived from the 80 BE (gA) or 100 BE (eA) scored on the written paper. The Gesamtqualifikation requires at least 200 of a possible 600 Punkte in Block I from the Kurshalbjahresergebnisse (§38 Oberstufenverordnung) and at least 100 of a possible 300 Punkte in Block II from the five Prüfungsfächer/-elemente in vierfacher Wertung (§39), with no element scored 0, at least 4 Punkte in each element and at least 20 Punkte in vierfacher Wertung in three or more elements including one auf erhöhtem Anforderungsniveau. The 900-point maximum is converted to the Abitur-Durchschnittsnote via the national KMK table.
  • Assessment: Official written Sachsen-Anhalt Abitur examination in Mathematik, sat either as Leistungskurs (erhöhtes Anforderungsniveau) or Grundkurs (grundlegendes Anforderungsniveau). Both Prüfungsteile always contain tasks from all three Sachgebiete: Analysis, Analytische Geometrie and Stochastik. Prüfungsteil 1 is Hilfsmittel-free and lets the candidate choose Wahlpflichtaufgaben; Prüfungsteil 2 uses complex, multi-part Pflichtaufgaben and permits a Formelsammlung, Zeichengeräte and a wissenschaftlicher Taschenrechner (not a graphing calculator or CAS). This 100-question bank is an English-language MCQ study adaptation only — it does not reproduce the German-language free-response format or the official Aufgabenpool tasks.
  • Time limit: 255 minutes (grundlegendes Anforderungsniveau) or 300 minutes (erhöhtes Anforderungsniveau), Arbeitszeit einschließlich Auswahlzeit. Candidates decide individually when to submit Prüfungsteil 1 and receive the Hilfsmittel for Prüfungsteil 2, but this must happen within the first 100 minutes (gA) or 110 minutes (eA) without the exam being paused. In 2026 the written Mathematik date was Wednesday 6 May 2026 for both Leistungskurs and Grundkurs, with a Nachprüfung on Friday 5 June 2026; mündliche Prüfungen began 11 May 2026 and Zeugnisse were issued by 3 July 2026.
  • Exam / certification fees: No exam fee for regular enrolled school candidates; the Abitur is a state school examination in Sachsen-Anhalt. External and Nichtschüler routes are handled by the Landesschulamt and do not carry a published Mathematik-specific fee. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
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Sachsen-Anhalt Abitur Mathematics: Suggested Study Strategy

1Drill the six Ableitungsregeln (Konstanten-, Potenz-, Summen-, Faktor-, Produkt-, Kettenregel) until they are automatic — nearly every Analysis Aufgabe in Prüfungsteil 2 builds on them.
2Practise full Kurvendiskussionen end to end: Nullstellen, Symmetrie, Monotonie, Extrem- and Wendepunkte, and Grenzverhalten, since Sachsen-Anhalt's Prüfungsteil 2 rewards a complete, justified argument, not just a final value.
3Rebuild the vector toolkit from Schuljahrgang 10 (Skalarprodukt, Vektorprodukt, lineare (Un-)Abhängigkeit) before tackling Geraden-, Ebenen- and Kreisaufgaben — the 11/12 Fachlehrplan assumes it as a prerequisite.
4Memorise the Bernoulli-Formel and Binomialkoeffizient cold, then practise reading Kenngrößen (Erwartungswert np, Varianz np(1−p)) directly off a problem statement without extra derivation.
5For Beurteilende Statistik, keep the Vertrauensintervall and Prognoseintervall formulas and their 1.96-factor (95 %) straight — mixing them up is the single most common Stochastik error.
6Since Prüfungsteil 2 is worked with a Formelsammlung and only a wissenschaftlicher Taschenrechner, rehearse evaluating expressions like e^x, ln x, sin/cos and binomial coefficients by hand or with a basic calculator — a GTR or CAS is not available on exam day.

Frequently Asked Questions

Is the official Sachsen-Anhalt Mathematik Abitur exam multiple-choice?

No. The official written paper is a German-language Klausur in which candidates work through Analysis-, Analytische-Geometrie- and Stochastik-Aufgaben and write out full solution paths, scored in Bewertungseinheiten (80 BE at grundlegendem, 100 BE at erhöhtem Anforderungsniveau). This bank is an English-language MCQ study adaptation for learning and checking the underlying calculations, not a simulation of the official format.

Can I use a graphing calculator or CAS in the exam?

No. Sachsen-Anhalt's 2026 Hinweise for the written Mathematik exam permit only a wissenschaftlicher Taschenrechner (a non-graphing, non-CAS scientific calculator meeting the rules in force since the 2025 exam year) in Prüfungsteil 2, alongside a Formelsammlung, Zeichengeräte and a Wörterbuch. Graphing calculators (GTR) and computer-algebra systems (CAS) are not on the approved list.

Which content does the exam cover?

The Fachlehrplan Mathematik Gymnasium (Stand 01.08.2022) organises Schuljahrgänge 11/12 into three Sachgebiete taught throughout the Qualifikationsphase: Analysis (Differential- and Integralrechnung, building on Sekundarstufe-I function theory), Analytische Geometrie (vectors, lines, planes and circles in space, extending the Vektorrechnung introduced in Schuljahrgang 10) and Stochastik (bedingte Wahrscheinlichkeit, Bernoulli-Ketten, Binomial- and, at Leistungskurs level, Normalverteilung, plus beurteilende Statistik).

How long is the written exam?

255 minutes at grundlegendem Anforderungsniveau and 300 minutes at erhöhtem Anforderungsniveau, including Auswahlzeit. Candidates get both Prüfungsteile at the start but must submit the Hilfsmittel-free Prüfungsteil 1 within the first 100 (gA) or 110 (eA) minutes before receiving the Formelsammlung and calculator for Prüfungsteil 2.

Is Mathematik compulsory in the Sachsen-Anhalt Abitur?

Mathematik is one of the four Kernfächer (with Deutsch and the Fremdsprachen) and is belegungspflichtig across all four Kurshalbjahre of the Qualifikationsphase for every candidate. Under the current Oberstufenverordnung, at least two of the three Kernfächer Deutsch, Mathematik and fortgeführte Fremdsprache must be among the five Abiturprüfungsfächer, so Mathematik is the fixed written or oral Prüfungsfach for the great majority of candidates even though the strict rule technically allows the other two to be chosen instead.

When was the exam held in 2026?

In the 2026 main session the written Mathematik exam was set for Wednesday 6 May 2026 for both Leistungskurs and Grundkurs, with a Nachprüfung on Friday 5 June 2026. Mündliche Prüfungen began on 11 May 2026 and Zeugnisse were issued by 3 July 2026, with roughly 5,600 candidates sitting the Abitur across Gymnasien, Gesamtschulen, Gemeinschaftsschulen mit gymnasialer Oberstufe, berufliche Gymnasien, Freie Waldorfschulen and Schulen des zweiten Bildungsweges.

Is there an exam fee?

No. The Abitur is a state school examination in Sachsen-Anhalt and regular enrolled school candidates pay no fee. Nichtschüler and second-chance routes are administered by the Landesschulamt and have no published Mathematik-specific fee.