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Key Facts: Berlin Abitur Math LK Exam

330 minutes

Arbeitszeit including individual Lese-/Auswahlzeit for Mathematik LK 2026

SenBJF/MBJS Prüfungsschwerpunkte Mathematik 2026 Leistungskurs

110 minutes

Latest moment to hand in Prüfungsteil A and receive mathematical aids

ps_mathematik_2026_lk.pdf §5 Dauer und Organisation

3 Sachgebiete

Analysis, Analytische Geometrie, Stochastik in the written task structure

Prüfungsschwerpunkte Mathematik 2026 Leistungskurs

05 / 15

Notenpunkte labeled ausreichend (≈45% Bewertungseinheiten)

AV Prüfungen Notenpunkte mapping; VO-GO Punktesystem

300 / 900

Minimum Gesamtqualifikation points for Allgemeine Hochschulreife

VO-GO / Auf Kurs zum Abitur (SenBJF)

No separate fee

No published per-subject Mathematik exam price for regular school candidates

SenBJF Abitur pathway (school-administered)

Berlin Mathematik LK (2026): 330 min incl. selection; Teil A aid-free (hand in within 110 min) + Teil B with Formeldokument/WTR (or CAS pathway). Domains: Analysis, analytic geometry/linear algebra, stochastics. Graded in Notenpunkte (05 ausreichend); overall Abitur ≥300/900. This free English MCQ bank is a study adaptation only—not the official German written format.

Sample Berlin Abitur Math LK Practice Questions

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

1According to the official Prüfungsschwerpunkte Mathematik 2026 (Leistungskurs) for Berlin, how is the written Abitur exam structured?

A.A single five-hour paper in which no aids of any kind are permitted

B.Two equally long papers, both to be solved exclusively with a CAS device

C.Prüfungsteil A (hilfsmittelfrei, no calculator or formula sheet) plus Prüfungsteil B (more complex tasks with approved aids)

D.An oral colloquium followed by a portfolio of coursework

Explanation: Every Berlin-Brandenburg LK task proposal consists of Prüfungsteil A, the hilfsmittelfreier Teil with several short unconnected tasks, and Prüfungsteil B, longer interconnected tasks where the approved formula document and calculator may be used. This two-part structure follows the KMK Bildungsstandards for the Allgemeine Hochschulreife.

2What is the total working time (Arbeitszeit) for the 2026 Berlin Mathematik Leistungskurs written Abitur?

A.330 minutes, including an individual reading and task-selection time

B.255 minutes, the standard time for a 3. Prüfungsfach

C.315 minutes of pure writing time plus a separate 30-minute break

D.300 minutes split into two sittings on consecutive days

Explanation: The Prüfungsschwerpunkte Mathematik 2026 (Leistungskurs) state an Arbeitszeit of 330 Minuten, which already includes the individual Lese- und Auswahlzeit for choosing tasks. Note that this is longer than the generic Berlin Leistungsfach time of 315 minutes used in subjects like Deutsch.

3In Prüfungsteil A of the 2026 Berlin LK Mathematik exam, how are the tasks of Aufgabengruppe 1 handled?

A.Candidates choose two of four tasks and may use the formula document

B.Candidates choose one of four tasks, all at Anforderungsbereich III

C.All four tasks are optional bonus tasks that only count if answered correctly

D.All four tasks are mandatory with no choice; they belong to Anforderungsbereiche I and II

Explanation: From Aufgabengruppe 1, four tasks are presented and all four must be solved without any choice (ohne Wahlmöglichkeiten); they are assigned to Anforderungsbereiche I and II. In addition, six tasks of Aufgabengruppe 2 are offered, of which any two must be chosen — group 2 reaches into Anforderungsbereich III.

4Within what time window must a Berlin LK candidate hand in Prüfungsteil A and receive the mathematical aids?

A.Exactly at the halfway point of the exam, when the invigilator collects all papers at once

B.At an individually chosen moment, but no later than 110 minutes after the exam begins

C.Within the first 30 minutes, after which only CAS devices are issued

D.Only after all Prüfungsteil B tasks have been attempted

Explanation: Each candidate individually decides when to submit Prüfungsteil A and receive the aids, but this handover must occur within the first 110 minutes of the 330-minute exam. Both parts are distributed at the start, so time management between the aid-free and aided parts is the candidate's own responsibility.

5Which calculator is permitted as a mathematical aid in the regular (non-CAS) 2026 Berlin LK Mathematik Abitur?

A.Any graphing calculator with a computer algebra system

B.A programmable calculator with stored solution algorithms

C.A non-programmable, non-graphing calculator without numeric differentiation, integration, or equation solving — statistical functions such as binomial values are allowed

D.No calculator of any kind is permitted in either Prüfungsteil

Explanation: The approved aid is a scientific calculator that is neither programmable nor graphing-capable and offers no numeric differentiation, integration, or automated equation solving; statistical functions — in particular values of the Binomialverteilung — are explicitly allowed. A SenBJF-approved Formeldokument, a German spelling reference, and standard geometry tools are also permitted.

6Which statement about the topic coverage of Prüfungsteil B in the 2026 Berlin LK Mathematik exam is correct?

A.At least one task must come from Analysis, with further tasks from Analytische Geometrie and Stochastik

B.All tasks come exclusively from Stochastik, since Analysis is tested in Prüfungsteil A

C.Analytische Geometrie is excluded from the central written exam and tested only orally

D.Candidates may avoid Analysis entirely by choosing only geometry tasks

Explanation: Prüfungsteil B contains complex, interconnected tasks covering all three Sachgebiete: at least one task must be from Analysis, with further tasks from Analytische Geometrie and Stochastik. Some Teil B tasks can be mandatory while others offer a choice between equivalent tasks.

7Which content is explicitly NOT required in the 2026 Berlin LK Mathematik Abitur according to the Prüfungsschwerpunkte?

A.Hypothesentests for binomially distributed random variables

B.Volume calculation of Rotationskörper about the x-axis

C.Distance calculations via the Lotfußpunkt method

D.Developing or explaining proofs (K1), simulations (L5), and complex gebrochen-rationale Funktionen (L4)

Explanation: The Schwerpunkte document explicitly waives three items: K1 'Beweise erläutern oder entwickeln', L5 'Simulationen', and L4 'komplexe gebrochen-rationale Funktionen'. Hypothesis tests, rotation volumes, and Lotfußpunkt distance methods all remain firmly in the 2026 canon.

8What is the derivative of f(x) = x³ − 4x² + 2x?

A.3x² − 4x + 2

B.3x² − 8x + 2

C.x² − 8x + 2

D.3x² − 8x

Explanation: Applying the Potenzregel, Faktorregel, and Summenregel term by term: d/dx(x³) = 3x², d/dx(−4x²) = −8x, and d/dx(2x) = 2, giving f′(x) = 3x² − 8x + 2. These basic rules are expected fluently in the hilfsmittelfreier Prüfungsteil A.

9Given f(x) = e^(2x), what is f′(x)?

A.e^(2x)

B.2x·e^(2x−1)

C.2e^(2x)

D.e^2·x

Explanation: By the Kettenregel, the derivative of e^(u(x)) is u′(x)·e^(u(x)); with u(x) = 2x and u′ = 2 we get f′(x) = 2e^(2x). Natural Exponentialfunktionen composed with linear inner functions are a core function class of the Berlin LK canon.

10What is the slope of the tangent to the graph of f(x) = x² at the point x = 3?

A.6

B.9

C.3

D.1.5

Explanation: The tangent slope equals the derivative at the point: f′(x) = 2x, so f′(3) = 6. This is the geometric meaning of the Ableitung as Tangentensteigung, a fundamental idea tested throughout the exam.

About the Berlin Abitur Math LK Exam

Berlin Mathematik as Leistungsfach (Leistungskurs) is a centrally prepared written Abitur examination under the 2026 Prüfungsschwerpunkte. Working time is 330 minutes including individual reading/selection time. The paper splits into aid-free Prüfungsteil A and aided Prüfungsteil B covering Analysis, Analytische Geometrie/Lineare Algebra, and Stochastik (including binomial/normal models, sigma rules, Moivre–Laplace, and binomial hypothesis tests). Grading uses Bewertungseinheiten mapped to Notenpunkte (0–15). Official language and format are German constructed-response tasks. This free bank offers 100 original English MCQs—many with genuine numeric calculation options—for concept and procedure practice only; it cannot replace timed German written work.

Exam sponsor: Senatsverwaltung für Bildung, Jugend und Familie (SenBJF), Land Berlin; Prüfungsschwerpunkte issued jointly with Brandenburg (MBJS). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Per Prüfungsschwerpunkte Mathematik 2026 (Leistungskurs): every task proposal has Prüfungsteil A (hilfsmittelfrei; Aufgabengruppe 1: four mandatory AFB I–II tasks; Aufgabengruppe 2: choose 2 of 6 tasks reaching AFB III) and Prüfungsteil B (complex multi-part tasks with approved aids; at least one Analysis task plus further Analytische Geometrie and Stochastik). Candidates receive both parts at the start and must hand in Teil A to obtain mathematical aids within the first 110 minutes of the 330-minute Arbeitszeit (includes Lese-/Auswahlzeit). Regular aids: SenBJF Formeldokument, non-programmable non-graphing calculator (binomial statistical functions allowed; no numeric differentiation/integration/equation solving), German spelling reference, drawing tools; designated CAS courses use school CAS for Teil B. Framework: Berlin Rahmenlehrplan GO Fachteil C Mathematik and KMK Bildungsstandards Mathematik (18.10.2012). Explicitly not required: developing/explaining proofs (K1), simulations (L5), complex gebrochen-rationale Funktionen (L4). This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.

Time Limit

330 minutes including individual reading and task-selection time (Prüfungsschwerpunkte Mathematik 2026 Leistungskurs; Hilfsmittel handover within first 110 minutes).

Passing Score

Only whole Bewertungseinheiten; percentage of BE converts to Notenpunkte on the 0–15 scale (05 = ausreichend ≈ 45% BE per the standard AV mapping). Overall Allgemeine Hochschulreife: Gesamtqualifikation at least 300 of 900 points (VO-GO Block I + Block II).

Exam / Certification Fees

No separate per-subject Mathematik fee is published for regular school Abitur candidates; administration is through the school/Land pathway rather than a listed exam price.

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.

40%

Analysis

Differentiation and integration of listed function classes, extrema/inflection, areas, rotation volumes, linear substitution, and parameter problems.

25%

Analytic Geometry / Linear Algebra

Vectors, scalar products, lines/planes, distances and angles, skew lines, reflections, and linear systems.

25%

Stochastics

Combinatorics, trees/tables, binomial and normal models, conditional probability, estimation ideas, and significance tests.

10%

Exam structure and grading literacy

Timing, Teil A/B rules, Hilfsmittel, Bewertungseinheiten, and Notenpunkte/Gesamtqualifikation context.

Preparing for the Berlin Abitur Math LK Exam

What You Need to Know

Passing score: Only whole Bewertungseinheiten; percentage of BE converts to Notenpunkte on the 0–15 scale (05 = ausreichend ≈ 45% BE per the standard AV mapping). Overall Allgemeine Hochschulreife: Gesamtqualifikation at least 300 of 900 points (VO-GO Block I + Block II).
Assessment: Per Prüfungsschwerpunkte Mathematik 2026 (Leistungskurs): every task proposal has Prüfungsteil A (hilfsmittelfrei; Aufgabengruppe 1: four mandatory AFB I–II tasks; Aufgabengruppe 2: choose 2 of 6 tasks reaching AFB III) and Prüfungsteil B (complex multi-part tasks with approved aids; at least one Analysis task plus further Analytische Geometrie and Stochastik). Candidates receive both parts at the start and must hand in Teil A to obtain mathematical aids within the first 110 minutes of the 330-minute Arbeitszeit (includes Lese-/Auswahlzeit). Regular aids: SenBJF Formeldokument, non-programmable non-graphing calculator (binomial statistical functions allowed; no numeric differentiation/integration/equation solving), German spelling reference, drawing tools; designated CAS courses use school CAS for Teil B. Framework: Berlin Rahmenlehrplan GO Fachteil C Mathematik and KMK Bildungsstandards Mathematik (18.10.2012). Explicitly not required: developing/explaining proofs (K1), simulations (L5), complex gebrochen-rationale Funktionen (L4). This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.
Time limit: 330 minutes including individual reading and task-selection time (Prüfungsschwerpunkte Mathematik 2026 Leistungskurs; Hilfsmittel handover within first 110 minutes).
Exam / certification fees: No separate per-subject Mathematik fee is published for regular school Abitur candidates; administration is through the school/Land pathway rather than a listed exam price. Official sources

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Berlin Abitur Math LK: Suggested Study Strategy

1Drill short hilfsmittelfrei skills (derivatives, elementary integrals, vector basics) under a ~80–100 minute budget before switching to aided Teil B work.

2For rotation volumes and areas, write the definite-integral setup before computing—Teil B rewards clear Zwischenrechnung even when a calculator is allowed.

3Practice Lotfußpunkt distance arguments; Berlin Schwerpunkte do not require memorizing Hesse normal-form formulas.

4For Stochastik, name the model first (Bernoulli chain, tree/table, binomial, normal/Moivre–Laplace, or hypothesis test) before computing.

5Know Sigma-Regeln (≈68%/95%/99%) and the difference between Fehler 1. Art and Fehler 2. Art for binomial tests.

6Remember exclusions: you are not expected to develop proofs (K1), run simulations (L5), or tackle complex rational functions (L4).

Frequently Asked Questions

Is the official Berlin Mathematik Leistungskurs Abitur a multiple-choice test?

No. It is a German-language constructed-response written exam (Prüfungsteil A hilfsmittelfrei + Prüfungsteil B with aids) scored in Bewertungseinheiten. This bank is an English MCQ study adaptation only.

How long is the 2026 Mathematik LK written exam in Berlin?

The Prüfungsschwerpunkte Mathematik 2026 (Leistungskurs) set Arbeitszeit at 330 minutes, including individual Lese- und Auswahlzeit. Mathematical aids for Teil B are obtained when Teil A is handed in, no later than 110 minutes after the start.

What aids are allowed?

Regular pathway: SenBJF-approved Formeldokument; non-programmable, non-graphing calculator without numeric differentiation/integration/equation solving (binomial statistical functions allowed); German spelling reference; standard drawing tools. Designated CAS-Abitur courses use the school CAS device/software for Teil B (Teil A remains aid-free).

What topics are examined?

Analysis, Analytische Geometrie/Lineare Algebra, and Stochastik under the Rahmenlehrplan Fachteil C Mathematik and KMK Bildungsstandards (2012). Prüfungsteil B includes at least one Analysis task plus further geometry and stochastics tasks.

How is the exam graded?

Only whole Bewertungseinheiten are awarded; the percentage of BE maps to Notenpunkte (0–15), with 05 ausreichend corresponding to about 45% BE in the standard table. The full Abitur Gesamtqualifikation must reach at least 300 of 900 points (VO-GO).

Is there a separate fee for Mathematik LK?

No separate per-subject fee is published for regular school candidates; follow your school and SenBJF pathway notices.

Free Practice Questions for Berlin Abitur Math LK

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