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Key Facts: Saxony Abitur Mathematics Exam

3 Sachgebiete

Every Prüfungsteil of the Sachsen Mathematik Abitur covers Analysis, Analytische Geometrie/Lineare Algebra and Stochastik

VwV Abiturprüfung 2026, Mathematik Struktur der Prüfungsarbeit

255 / 300 min

Written Gesamtarbeitszeit at Grundkurs- and Leistungskursniveau, including Auswahlzeit

VwV Abiturprüfung 2026, Arbeitszeiten Mathematik

100 / 110 min

Maximum time to hand in Prüfungsteil A (Grundkurs / Leistungskurs) before receiving Hilfsmittel

VwV Abiturprüfung 2026, Mathematik Prüfungsteile A und B

06.05.2026

Written Mathematik date in the 2026 main session; Nachprüfung 21.05.2026

schule.sachsen.de Gymnasium Terminübersicht Abiturprüfung 2026

0–15 Punkte

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

Saxon Oberstufen-/Abiturprüfungsordnung (SOGYA) and related SMK VwV

IQB Formelsammlung

From 2026 Sachsen uses the Mathematisch-naturwissenschaftliche Formelsammlung des IQB in Prüfungsteil B (with MMS)

schule.sachsen.de; VwV Abiturprüfung 2026 Hilfsmittel

Free 100-question English-language MCQ study bank for Sachsen Abitur Mathematik, mapped to Analysis (~40%), Analytische Geometrie/Lineare Algebra (~30%) and Stochastik (~30%), with worked-calculation explanations. Official exam: German free-response Klausur, 255 min (GK) / 300 min (LK), written date 06.05.2026 (Nachprüfung 21.05.2026); MMS + IQB Formelsammlung in Prüfungsteil B only. Not an official-format simulation; no fee for regular school candidates.

Sample Saxony Abitur Mathematics Practice Questions

Try these sample questions to review concepts for the Saxony 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 Ableitung, f'(x0) = lim(h→0) [f(x0+h) − f(x0)] / h, find f'(4) for f(x) = x².

A.8

B.16

C.4

D.32

Explanation: [f(4+h)−f(4)]/h = [(16+8h+h²)−16]/h = (8h+h²)/h = 8+h. As h→0 this tends to 8, so f'(4) = 8, matching the Potenzregel f'(x)=2x at x=4.

2Geometrically, what does the Differenzenquotient [f(x0+h) − f(x0)] / h represent?

A.The slope of the secant line (Sekante) through (x0, f(x0)) and (x0+h, f(x0+h))

B.The slope of the tangent line at x0

C.The y-intercept of the graph

D.The area under the graph between x0 and x0+h

Explanation: The Differenzenquotient compares Δy to Δx between two distinct points, which is the slope of the Sekante joining them. Only as h→0 does it become the Tangentenanstieg (Differentialquotient).

3Evaluate lim(x→3) (x² − 9) / (x − 3).

A.6

B.0

C.The limit does not exist

D.3

Explanation: Factor: x²−9 = (x−3)(x+3), so the expression simplifies to x+3 for x≠3. The limit as x→3 is 3+3 = 6.

4For f(x) = −3x⁴ + 2x, 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: The leading term −3x⁴ dominates. Even degree with negative leading coefficient means both ends fall, so f(x) → −∞ as x → +∞.

5Let f(x) = x³ − 5x. Compute f'(2).

A.7

B.12

C.3

D.8

Explanation: f'(x) = 3x² − 5 by Potenz- and Faktorregel. At x=2: f'(2) = 3·4 − 5 = 12 − 5 = 7.

6Let f(x) = 4x³ − 6x² + 1. Compute f'(1).

A.0

B.12

C.6

D.−6

Explanation: f'(x) = 12x² − 12x. At x=1: f'(1) = 12 − 12 = 0.

7What is the slope of the Tangente to f(x) = x² − 5x + 6 at x = 3?

A.1

B.6

C.0

D.−5

Explanation: f'(x) = 2x − 5. At x=3: f'(3) = 6 − 5 = 1, the Anstieg der Tangente.

8A Stammfunktion of f(x) = 6x² is F(x) = 2x³ + C. Which check confirms this via the Hauptsatz idea F' = f?

A.F'(x) = 6x² = f(x)

B.F'(x) = 2x³

C.F'(x) = 6x

D.F'(x) = 2x²

Explanation: Differentiating F(x) = 2x³ + C gives F'(x) = 6x², which equals f(x). That is the defining relationship behind the Hauptsatz der Differential- und Integralrechnung.

9Evaluate ∫ from 0 to 2 of 3x² dx.

A.8

B.6

C.4

D.12

Explanation: A Stammfunktion is x³. By the Hauptsatz: [2³] − [0³] = 8 − 0 = 8.

10The Skalarprodukt of a⃗ = (1, 2, 2) and b⃗ = (2, −1, 2) equals:

A.4

B.0

C.6

D.−2

Explanation: a·b = 1·2 + 2·(−1) + 2·2 = 2 − 2 + 4 = 4.

About the Saxony Abitur Mathematics Exam

Sachsen Abitur Mathematik is the state Mathematics examination for the Allgemeine Hochschulreife in the Freistaat Sachsen, taken as a written Prüfungsfach at Grundkurs- or Leistungskursniveau under SMK Verwaltungsvorschriften. Its content follows the sächsische Lehrpläne Mathematik and the KMK Bildungsstandards Mathematik AHR: Analysis (limits, differentiation and integration of ganzrationale, Exponential-, Logarithmus- and trigonometrische Funktionen, culminating in curve sketching, optimisation and area/volume problems), Analytische Geometrie/Lineare Algebra (vectors, lines, planes and related linear-algebra tools in 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: Sächsisches Staatsministerium für Kultus (SMK), supported by the Landesamt für Schule und Bildung, using tasks aligned with the KMK Bildungsstandards and 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 Abitur examination in Mathematik, sat either as Leistungskursfach or Grundkursfach. Both Prüfungsteile always contain tasks from Analysis, Analytische Geometrie/Lineare Algebra and Stochastik. Prüfungsteil A consists of short unrelated tasks from Aufgabengruppe 1 (AFB I–II) and Aufgabengruppe 2 (reaching AFB III in at least one Teilaufgabe) with Kurs-specific Pflicht-/Auswahlregeln; Prüfungsteil B uses up to three multi-part Pflichtaufgaben that may vernetzen Sachgebiete. Hilfsmittel in Prüfungsteil B: MMS (grafikfähiger programmierbarer Taschenrechner with or without CAS / equivalent closed-platform software as permitted), Mathematisch-naturwissenschaftliche Formelsammlung des IQB (from 2026), and Zeichengeräte. This 100-question bank is an English-language MCQ study adaptation only — it does not reproduce the German-language free-response format or official pool tasks.

Time Limit

255 minutes (Grundkursfach) or 300 minutes (Leistungskursfach), Arbeitszeit einschließlich Auswahlzeit for Prüfungsteile A and B (VwV Abiturprüfung 2026). Candidates decide individually when to submit Prüfungsteil A and receive Hilfsmittel for Prüfungsteil B, but this must happen within the first 100 minutes (GK) or 110 minutes (LK). In 2026 the written Mathematik date is Wednesday 6 May 2026, with a Nachprüfung on Thursday 21 May 2026 (schule.sachsen.de).

Passing Score

Subject performance is reported on the 0–15 Punkte scale (Note 1 = 15–13 Punkte, Note 6 = 0 Punkte), derived from Bewertungseinheiten on the Mathematik scale referenced in VwV Abiturprüfung 2026. The Gesamtqualifikation requires sufficient Punkte in Block I (Kurshalbjahresergebnisse, max 600) and Block II (Prüfungsleistungen, max 300) under Saxon Oberstufen rules (SOGYA / VwV Durchführung Oberstufe und Abiturprüfung). 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. External and Nichtschüler routes are handled under Saxon school authority rules 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.

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 ~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 / Lineare Algebra — 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 Saxony 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 Bewertungseinheiten on the Mathematik scale referenced in VwV Abiturprüfung 2026. The Gesamtqualifikation requires sufficient Punkte in Block I (Kurshalbjahresergebnisse, max 600) and Block II (Prüfungsleistungen, max 300) under Saxon Oberstufen rules (SOGYA / VwV Durchführung Oberstufe und Abiturprüfung). The 900-point maximum is converted to the Abitur-Durchschnittsnote via the national KMK table.
Assessment: Official written Sachsen Abitur examination in Mathematik, sat either as Leistungskursfach or Grundkursfach. Both Prüfungsteile always contain tasks from Analysis, Analytische Geometrie/Lineare Algebra and Stochastik. Prüfungsteil A consists of short unrelated tasks from Aufgabengruppe 1 (AFB I–II) and Aufgabengruppe 2 (reaching AFB III in at least one Teilaufgabe) with Kurs-specific Pflicht-/Auswahlregeln; Prüfungsteil B uses up to three multi-part Pflichtaufgaben that may vernetzen Sachgebiete. Hilfsmittel in Prüfungsteil B: MMS (grafikfähiger programmierbarer Taschenrechner with or without CAS / equivalent closed-platform software as permitted), Mathematisch-naturwissenschaftliche Formelsammlung des IQB (from 2026), and Zeichengeräte. This 100-question bank is an English-language MCQ study adaptation only — it does not reproduce the German-language free-response format or official pool tasks.
Time limit: 255 minutes (Grundkursfach) or 300 minutes (Leistungskursfach), Arbeitszeit einschließlich Auswahlzeit for Prüfungsteile A and B (VwV Abiturprüfung 2026). Candidates decide individually when to submit Prüfungsteil A and receive Hilfsmittel for Prüfungsteil B, but this must happen within the first 100 minutes (GK) or 110 minutes (LK). In 2026 the written Mathematik date is Wednesday 6 May 2026, with a Nachprüfung on Thursday 21 May 2026 (schule.sachsen.de).
Exam / certification fees: No exam fee for regular enrolled school candidates; the Abitur is a state school examination in Sachsen. External and Nichtschüler routes are handled under Saxon school authority rules and do not carry a published Mathematik-specific fee. Official sources

Using Our Practice Resources

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Saxony 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 B builds on them.

2Practise full Kurvendiskussionen end to end: Nullstellen, Symmetrie, Monotonie, Extrem- and Wendepunkte, and Grenzverhalten, since Sachsen's Prüfungsteil B rewards a complete, justified argument, not just a final value.

3Rebuild the vector toolkit (Skalarprodukt, Vektorprodukt, lineare (Un-)Abhängigkeit) before tackling Geraden-, Ebenen- and Abstandaufgaben — Analytische Geometrie/Lineare Algebra is a named Sachgebiet in every paper.

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.

6Rehearse Prüfungsteil A without a calculator: many short AFB I–II tasks must be solved hilfsmittelfrei before you submit A and receive the IQB Formelsammlung and MMS for Prüfungsteil B.

Frequently Asked Questions

Is the official Sachsen Mathematik Abitur exam multiple-choice?

No. The official written paper is a German-language Klausur in which candidates work through Analysis-, Analytische-Geometrie/Lineare-Algebra- and Stochastik-Aufgaben and write out full solution paths, scored in Bewertungseinheiten across Prüfungsteile A and B. This bank is an English-language MCQ study adaptation for learning and checking the underlying calculations, not a simulation of the official format.

Which Hilfsmittel are allowed in Mathematik?

Prüfungsteil A is completed without the digital calculator/formula aids. After handing in A (within 100 min GK / 110 min LK), Prüfungsteil B permits a modular mathematics system (MMS — grafikfähiger programmierbarer Taschenrechner with or without CAS, or equivalent software on a closed platform as permitted by SMK), the Mathematisch-naturwissenschaftliche Formelsammlung des IQB (introduced for Sachsen in 2026), and Zeichengeräte. Always confirm the current year's VwV Abiturprüfung list before exam day.

Which content does the exam cover?

VwV Abiturprüfung 2026 and the sächsische Lehrpläne organise the written Mathematik paper around three Sachgebiete: Analysis (Differential- and Integralrechnung), Analytische Geometrie/Lineare Algebra (vectors, lines, planes and related linear-algebra tools), and Stochastik (bedingte Wahrscheinlichkeit, Bernoulli-Ketten, Binomial- and, at Leistungskurs level, Normalverteilung, plus beurteilende Statistik), aligned with the KMK Bildungsstandards Mathematik AHR.

How long is the written exam?

255 minutes at Grundkursniveau and 300 minutes at Leistungskursniveau, including Auswahlzeit (VwV Abiturprüfung 2026). Candidates get both Prüfungsteile at the start but must submit the hilfsmittelfreie Prüfungsteil A within the first 100 (GK) or 110 (LK) minutes before receiving Formelsammlung and MMS for Prüfungsteil B.

Is Mathematik compulsory in the Sachsen Abitur?

Mathematik is a core Fach of the Saxon gymnasiale Oberstufe and is belegungspflichtig through the Qualifikationsphase. Whether it appears as a written or oral Abiturprüfungsfach depends on the candidate's Prüfungsfachwahl under SOGYA, but the great majority of candidates sit Mathematik as a written Prüfung.

When is the exam held in 2026?

Per schule.sachsen.de, the written Mathematik exam in the 2026 main session is Wednesday 6 May 2026, with a Nachprüfung on Thursday 21 May 2026.

Is there an exam fee?

No. The Abitur is a state school examination in Sachsen and regular enrolled school candidates pay no fee. Nichtschüler and second-chance routes are administered under Saxon school authority rules and have no published Mathematik-specific fee.