100+ Free Abitur Mathematics Practice Questions
Pass your German Abitur Mathematics (Mathematik Allgemeine Hochschulreife) exam on the first try — instant access, no signup required.
Solve x + y = 6 and x - y = 2. What is x?
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Key Facts: Abitur Mathematics Exam
100
Original local practice questions in this bank
OpenExamPrep
300 min / 255 min
IQB pool working time for advanced/basic Mathematics levels
IQB Beschreibung der Struktur, Stand 19.06.2024
3 core areas
Analysis, Analytic Geometry/Linear Algebra, and Stochastics
KMK Bildungsstandards and IQB Mathematics pool documents
2017
First year common Abitur task pools were available for Mathematics
KMK/IQB Abituraufgabenpools
Laender variation
The detailed design and administration are responsibility of the federal states
KMK Gymnasiale Oberstufe und Abitur
Use this 100-question original practice bank for Abitur Mathematics skills aligned to KMK/IQB themes: Analysis, Analytic Geometry/Linear Algebra, vectors, Stochastics, modeling, functions, calculus, probability, statistics, and data interpretation. The real exam varies by Land and by basic or advanced course level.
Sample Abitur Mathematics Practice Questions
Try these sample questions to test your Abitur Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1For f(x) = 2x^2 -2x +1, what is f'(0)?
2Evaluate int_0^4 (3x +0) dx.
3What are the zeros of x^2 -4x +3?
4What is the slope of the line through (0, -2) and (6, 4)?
5Compute (1, 2, 2) dot (4, 3, -2).
6Solve x + y = 6 and x - y = 2. What is x?
7For A = [[4, 2], [2, 5]], what is A(3, 2)?
8For X ~ Binomial(5, 1/3), what is P(X = 2)?
9If P(B) = 2/5 and P(A | B) = 3/5, what is P(A and B)?
10What is the mean of the data set 6, 4, 8, 9?
About the Abitur Mathematics Exam
German Abitur Mathematics is a state-administered upper-secondary exit examination for the Allgemeine Hochschulreife. KMK Bildungsstandards define common expectations for mathematical competencies, while the IQB coordinates common Abitur task pools used by the Laender to support comparability. Mathematics tasks emphasize Analysis, Analytic Geometry/Linear Algebra, and Stochastics, with modeling, argumentation, representation, symbolic work, and communication integrated throughout. The exam differs by federal state and by course level: grundlegendes Anforderungsniveau focuses more strongly on foundational and transfer demands, while erhoehtes Anforderungsniveau has greater complexity, abstraction, formalization, and independent reasoning.
Assessment
The German Mathematics Abitur is not one uniform national paper. The Laender administer the exam under KMK Bildungsstandards and may use IQB common task-pool material. The IQB Mathematics pool structure separates Part A without aids from Part B with approved aids and covers Analysis, Analytic Geometry/Linear Algebra, and Stochastics. It distinguishes grundlegendes Anforderungsniveau and erhoehtes Anforderungsniveau, with state-specific implementation and possible selection rules.
Time Limit
IQB pool model: 300 minutes for erhoehtes Anforderungsniveau; 255 minutes for grundlegendes Anforderungsniveau; state rules may add selection time for Part B choices.
Passing Score
Abitur success is based on the full qualification and examination rules of the Land. KMK describes the Allgemeine Hochschulreife as awarded with at least satisfactory performance; the standards-based written-exam grid maps 45% to 5 points (ausreichend).
Exam Fee
No single national Abitur Mathematics fee. Regular school candidates sit through their school and Land system; external-candidate and administrative fees, where applicable, vary by federal state. (Education ministries of the German Laender, with KMK standards and IQB-coordinated Abitur task pools)
Abitur Mathematics Exam Content Outline
Analysis, Functions, and Calculus
Rates of change, derivatives, tangents, monotonicity, extrema, concavity, integration, accumulated quantities, exponential and logarithmic models, and interpretation of graphs.
Analytic Geometry, Vectors, and Linear Algebra
Vector operations, scalar product, angles and distances, lines and planes in space, matrix and system methods, and geometric modeling.
Stochastics, Probability, and Statistics
Multi-stage experiments, conditional probability, independence, binomial and normal models, expected value, variance, hypothesis tests, confidence ideas, and data summaries.
Modeling, Representation, and Communication
Selecting mathematical models, interpreting residuals and graphs, translating between contexts and formulas, and communicating justified conclusions.
How to Pass the Abitur Mathematics Exam
What You Need to Know
- Passing score: Abitur success is based on the full qualification and examination rules of the Land. KMK describes the Allgemeine Hochschulreife as awarded with at least satisfactory performance; the standards-based written-exam grid maps 45% to 5 points (ausreichend).
- Assessment: The German Mathematics Abitur is not one uniform national paper. The Laender administer the exam under KMK Bildungsstandards and may use IQB common task-pool material. The IQB Mathematics pool structure separates Part A without aids from Part B with approved aids and covers Analysis, Analytic Geometry/Linear Algebra, and Stochastics. It distinguishes grundlegendes Anforderungsniveau and erhoehtes Anforderungsniveau, with state-specific implementation and possible selection rules.
- Time limit: IQB pool model: 300 minutes for erhoehtes Anforderungsniveau; 255 minutes for grundlegendes Anforderungsniveau; state rules may add selection time for Part B choices.
- Exam fee: No single national Abitur Mathematics fee. Regular school candidates sit through their school and Land system; external-candidate and administrative fees, where applicable, vary by federal state.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Abitur Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is Abitur Mathematics the same in every German federal state?
No. The Laender administer the Abitur and set implementation details. KMK Bildungsstandards and IQB common task pools support comparability, but timing, selection rules, course combinations, and local regulations can vary by state.
What are grundlegendes and erhoehtes Anforderungsniveau?
They are basic and advanced levels of upper-secondary requirements. The advanced level places greater emphasis on complexity, abstraction, formalization, and independent reasoning, while both levels are aligned to the KMK Mathematics standards.
What topics are central in Abitur Mathematics?
KMK and IQB materials organize Mathematics around Analysis, Analytic Geometry/Linear Algebra, and Stochastics, with modeling, argumentation, representations, symbolic work, and communication embedded across tasks.
Are official Abitur Mathematics questions multiple-choice?
Official papers commonly use multi-part constructed-response tasks with expected solution paths and scoring notes. This local bank uses MCQs for efficient practice and does not copy official IQB or state questions.
Can calculators or software be used?
The IQB pool structure has a Part A without aids and a Part B with approved aids. IQB/KMK materials distinguish no-aid tasks, simple scientific calculator (WTR) tasks, and modular mathematics system (MMS, formerly CAS) tasks.