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100+ Free Berlin Abitur Math LK Practice Questions
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2026 Statistics
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 test your Berlin Abitur Math LK exam readiness. 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 Practice Questions
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