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100+ Free Berlin Abitur Math 3. PF (GK) Practice Questions

Berlin Abitur Mathematics — third examination subject (3. Prüfungsfach, Grundkurs / Pool) practice questions are available now; exam metadata is being verified.

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2026 Statistics

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 test your Berlin Abitur Math 3. PF (GK) exam readiness. 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) Practice Questions

Verified exam format metadata for Berlin Abitur Mathematics — third examination subject (3. Prüfungsfach, Grundkurs / Pool) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.