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Key Facts: Berlin Abitur Math 3. PF (GK) Exam

285 minutes

Arbeitszeit including individual Lese-/Auswahlzeit for Mathematik GK 2026

SenBJF/MBJS Prüfungsschwerpunkte Mathematik 2026 Grundkurs (ps_mathematik_2026_gk.pdf §5)

100 minutes

Latest moment to hand in Prüfungsteil A and receive mathematical aids

ps_mathematik_2026_gk.pdf §5 Dauer und Organisation

06.05.2026

Mathematik LF + 3. PF Pool main written date (Berlin Prüfungsplan)

SenBJF pruefungsplan-2026.pdf

3 Sachgebiete

Analysis, Analytische Geometrie, Stochastik in the written task structure

Prüfungsschwerpunkte Mathematik 2026 Grundkurs

05 / 15

Notenpunkte labeled ausreichend (≈45% Bewertungseinheiten)

AV Prüfungen Notenpunkte mapping; VO-GO Punktesystem

No separate fee

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

SenBJF Abitur pathway (school-administered)

Berlin Mathematik 3. PF / GK (2026): 285 min incl. selection; Teil A aid-free (hand in within 100 min) + Teil B with Formeldokument/WTR (or CAS pathway). Domains: Analysis, analytic geometry, stochastics at Grundkurs depth. 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 3. PF (GK) Practice Questions

Try these sample questions to review concepts for the Berlin Abitur Math 3. PF (GK) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the total working time (Arbeitszeit) for the 2026 Berlin Abitur in Mathematik at Grundkurs level (3. Prüfungsfach)?

A.255 minutes, split evenly between the two parts

B.285 minutes, including an individual reading and task-selection time

C.330 minutes, the same as the Mathematik Leistungsfach exam

D.240 minutes plus a 30-minute supervised break

Explanation: The official Prüfungsschwerpunkte Mathematik 2026 (Grundkurs) set the Arbeitszeit at 285 minutes, which already includes the individual Lese- und Auswahlzeit (AV Prüfungen Anlage 5b framework). Mathematik Leistungsfach / Leistungskurs uses 330 minutes — do not confuse with the generic 315-minute Leistungsfach time used in some other subjects.

2By when must a candidate hand in the hilfsmittelfreier Teil A in the 2026 Berlin Mathematik GK Abitur?

A.Within the first 30 minutes after the exam begins

B.Within the first 60 minutes after the exam begins

C.Within the first 100 minutes after the exam begins

D.Exactly at the halfway point of the total working time

Explanation: Each candidate individually decides when to submit Teil A and receive the mathematical aids, but this hand-in must occur within the first 100 minutes of the exam. After handing in Teil A, the candidate works on Teil B with the approved Hilfsmittel.

3Which statement correctly describes Prüfungsteil A of the Berlin Mathematik GK Abitur?

A.It consists of several short, unconnected tasks that must be solved without calculator or formula collection

B.It contains one large contextual modelling task solved with a CAS device

C.It is an optional bonus section that only affects the oral exam grade

D.It consists entirely of multiple-choice items marked by machine

Explanation: Prüfungsteil A is the hilfsmittelfreier Teil: several kurze, nicht zusammenhängende Aufgaben of small scope, each tied to one Sachgebiet, solved without the Formeldokument or Taschenrechner. The long, contextual, aid-supported tasks belong to Prüfungsteil B.

4How is the task selection in Prüfungsteil A of the 2026 Mathematik GK exam structured?

A.Candidates freely choose any five tasks from a list of ten

B.All tasks are compulsory; there is no choice at all

C.Candidates choose exactly one task and may ignore the rest

D.Three Aufgabengruppe-1 tasks are compulsory, then candidates choose one of three further group-1 tasks and one of three group-2 tasks (group 2 reaches Anforderungsbereich III)

Explanation: For Teil A, candidates receive three Aufgabengruppe-1 tasks (Anforderungsbereiche I–II) that are compulsory with no choice, plus three more group-1 tasks and three group-2 tasks (each containing at least one AFB III subtask) from which exactly one per group must be solved. So Teil A yields five tasks in total.

5Which requirement applies to Prüfungsteil B of the Berlin Mathematik GK Abitur?

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

B.All tasks must come exclusively from Stochastik

C.Only Analytische Geometrie tasks are allowed, since vectors require aids

D.Part B contains only multiple-choice items about exam regulations

Explanation: Teil B contains complex, interconnected tasks solved with the approved aids; at least one Aufgabenstellung must be from Analysis, and further tasks come from Analytische Geometrie and Stochastik. Each Teil-B task contains subtasks across all three Anforderungsbereiche, and some tasks may be compulsory while others offer a choice between equivalent options.

6Which mathematical aids are permitted for Prüfungsteil B in the 2026 Berlin Mathematik GK Abitur (non-CAS track)?

A.Any graphing calculator with internet access disabled

B.A SenBJF-approved formula collection (Formeldokument) and a non-programmable, non-graphical calculator that can compute binomial distribution values

C.Only mental arithmetic; no aids of any kind are allowed in the Abitur

D.A personal laptop running any computer algebra software

Explanation: Permitted are a Formeldokument approved by the Senatsverwaltung and a Taschenrechner that is neither programmable nor graphing-capable and has no numeric differentiation/integration or equation-solving functions; statistical functions including binomial values are explicitly allowed. A German spelling dictionary and standard drawing tools are also permitted, even in Teil A.

7According to the Prüfungsschwerpunkte Mathematik 2026 (Grundkurs), which of the following is explicitly NOT required in the Abitur exam?

A.Solving natural exponential equations with the natural logarithm

B.Computing areas bounded by function graphs

C.Explaining or developing proofs (Beweise), using limits to determine derivatives or integrals, and simulations

D.Working with Bernoulli chains and the binomial distribution

Explanation: The official document lists three exclusions: K1 'Beweise erläutern oder entwickeln', L1 'Grenzwerte bei der Bestimmung von Ableitung oder Integral nutzen', and L5 'Simulationen'. Exponential equations, areas, and the binomial distribution all remain core exam content.

8What is the derivative of f(x) = x³?

A.f'(x) = 3x²

B.f'(x) = x²

C.f'(x) = 3x³

D.f'(x) = (1/4)x⁴

Explanation: The Potenzregel states that the derivative of xⁿ is n·xⁿ⁻¹. For n = 3 this gives f'(x) = 3x². The option (1/4)x⁴ is an antiderivative of x³, not its derivative.

9What is the derivative of the natural exponential function f(x) = eˣ?

A.f'(x) = x·eˣ⁻¹

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

C.f'(x) = eˣ

D.f'(x) = eˣ⁻¹

Explanation: The natural exponential function is its own derivative: (eˣ)' = eˣ. This uniqueness makes eˣ central to Differentialrechnung and to modelling growth processes in the Berlin Rahmenlehrplan.

10What are the zeros (Nullstellen) of f(x) = x² − 4x + 3?

A.x = −1 and x = −3

B.x = 1 and x = 3

C.x = 2 and x = 4

D.x = 0 and x = 4

Explanation: Factoring gives x² − 4x + 3 = (x − 1)(x − 3), so the zeros are x = 1 and x = 3. The Mitternachtsformel (quadratic formula) yields the same: x = (4 ± √(16 − 12))/2 = (4 ± 2)/2.

About the Berlin Abitur Math 3. PF (GK) Exam

Berlin Mathematik as 3. Prüfungsfach is the Grundkurs / Pool written Abitur examination under the 2026 Prüfungsschwerpunkte. Working time is 285 minutes including individual reading/selection time (distinct from Leistungsfach 330 minutes). The paper splits into aid-free Prüfungsteil A and aided Prüfungsteil B covering Analysis, Analytische Geometrie, and Stochastik at GK depth (binomial models, conditional probability, k-σ / 1/√n estimation). 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 (Grundkurs): every task proposal has Prüfungsteil A (hilfsmittelfrei; short unconnected tasks with Aufgabengruppe selection 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 100 minutes of the 285-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), using limits to determine derivatives/integrals (L1), simulations (L5). Distinct from Mathematik Leistungsfach (330 min / 110 min handover). This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.

Time Limit

285 minutes including individual reading and task-selection time (Prüfungsschwerpunkte Mathematik 2026 Grundkurs; Hilfsmittel handover within first 100 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 GK function classes, extrema/inflection, areas, and elementary parameter problems.

25%

Analytic Geometry / Linear Algebra

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

25%

Stochastics

Combinatorics/trees/tables, binomial models, conditional probability, and k-σ / 1/√n estimation (not LK hypothesis tests).

10%

Exam structure and grading literacy

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

Preparing for the Berlin Abitur Math 3. PF (GK) 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 (Grundkurs): every task proposal has Prüfungsteil A (hilfsmittelfrei; short unconnected tasks with Aufgabengruppe selection 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 100 minutes of the 285-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), using limits to determine derivatives/integrals (L1), simulations (L5). Distinct from Mathematik Leistungsfach (330 min / 110 min handover). This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.
Time limit: 285 minutes including individual reading and task-selection time (Prüfungsschwerpunkte Mathematik 2026 Grundkurs; Hilfsmittel handover within first 100 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 3. PF (GK): 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 areas and definite integrals, write the 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 at GK, name the model first (Bernoulli chain, tree/table, binomial, or k-σ / 1/√n estimate) before computing — leave Hypothesentests to LK review.

5Remember exclusions: you are not expected to develop proofs (K1), use limits to find derivatives/integrals (L1), or run simulations (L5).

6After MCQs, write full German Operator solutions under a 285-minute timer with only allowed Hilfsmittel.

Frequently Asked Questions

Is the official Berlin Mathematik 3. Prüfungsfach 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 Grundkurs written exam in Berlin?

The Prüfungsschwerpunkte Mathematik 2026 (Grundkurs) set Arbeitszeit at 285 minutes, including individual Lese- und Auswahlzeit. Mathematical aids for Teil B are obtained when Teil A is handed in, no later than 100 minutes after the start.

How is this different from Mathematik Leistungsfach?

This ID is the third-examination-subject / Grundkurs (Pool) track: 285 minutes and 100-minute aid handover. Leistungsfach Mathematik is a separate exam ID with 330 minutes and a 110-minute handover window, plus deeper LK Stochastik (e.g. Hypothesentests, Moivre–Laplace).

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, 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.

When is Mathematik written in 2026?

Prüfungsplan 2025/2026 lists Mathematik LF + 3. PF Pool on Wednesday 06.05.2026 (written sittings begin 09:00). Confirm on the current SenBJF plan and with your school.

Is there a separate fee for Mathematik 3. PF?

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 3. PF (GK)

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