germany-abitur 2025 Q2

germany-abitur · Other · abitur__nrw_zentralabitur Not Maths
2. Examination Part
Furthermore, four additional task sets are offered for download for the second examination part: one GDC task set and one CAS task set each for the basic and advanced courses. The following regulations apply with regard to these task sets:
  • The subject teacher determines which task set corresponds to their course (basic course or advanced course) and the aid used in instruction (GDC or CAS).
  • Each task set (for the basic course and the advanced course, for GDC and for CAS) contains five tasks each: two analysis tasks, one task on vector geometry and one task on statistics, which may relate to the focal points ``characteristics of probability distributions'' and ``binomial distribution'' (in the basic course) or the focal points ``characteristics of probability distributions'', ``binomial distribution and normal distribution'' and ``hypothesis testing'' (in the advanced course). Furthermore, an additional analysis task is provided.
  • Basic course and advanced course: The second examination part consists of three tasks from the corresponding task set: From the two analysis tasks mentioned first above, the teacher selects exactly one task. Furthermore, the teacher selects two tasks from the remaining tasks (task on vector geometry, task on statistics, additional analysis task).
  • Task selection by students is not provided for. c) Aids
  • Dictionary for German spelling
  • GDC (Graphics Calculator) or CAS (Computer Algebra System)
  • Mathematical formula collection

d) Duration of Written Examination
The working time including selection time is 255 minutes in the basic course and 300 minutes in the advanced course. ${ } ^ { 1 }$
III. Overview - Content Focal Points of the Core Curriculum and Focuses
The focuses indicated below each relate to the content focal points specified in Chapter 2 of the core curriculum, which in their entirety are mandatory for written abitur examinations. In the overview below, they are therefore listed in full. The overarching competence expectations as well as the content focal points with their assigned concrete competence expectations remain binding, regardless of whether focuses have been established.
\footnotetext{${ } ^ { 1 }$ The duration of the written examination is indicated for uniform presentation in all subjects with student selection including selection time. This is done analogously to the KMK agreement on the design of the upper secondary level and the abitur examination (Resolution of the Conference of Ministers of Education from 07.07.1972 as amended on 18.02.2021). }
Basic Course

Functions and AnalysisAnalytical Geometry and Linear AlgebraStatistics
Functions as mathematical modelsLinear systems of equationsCharacteristics of probability distributions
\begin{tabular}{l} Continuation of differential calculus
- Investigation of polynomial functions
- Investigation of functions of the type $f ( x ) = p ( x ) e ^ { a x + b }$, where $p ( x )$ is a polynomial with at most three terms
- Investigation of functions that result as simple sums of the above-mentioned function types
- Interpretation and determination of parameters of the above-mentioned functions
- Necessary differentiation rules (product rule, chain rule)
& Representation and investigation of geometric objects & Binomial distribution \hline Basic understanding of the integral concept & Position relationships & \hline Integral calculus & Scalar product & \hline \end{tabular}
Advanced Course

Functions and AnalysisAnalytical Geometry and Linear AlgebraStatistics
Functions as mathematical modelsLinear systems of equationsCharacteristics of probability distributions
\begin{tabular}{l} Continuation of differential calculus
- Treatment of polynomial functions, natural exponential and logarithmic functions and their combinations or compositions with investigation of properties depending on parameters
- Necessary differentiation rules (product rule, chain rule)
& Representation and investigation of geometric objects & Binomial distribution and normal distribution \hline Basic understanding of the integral concept & Position relationships and distances & Hypothesis testing \hline Integral calculus & Scalar product & \hline \end{tabular}
\section*{2. Examination Part}
Furthermore, four additional task sets are offered for download for the second examination part: one GDC task set and one CAS task set each for the basic and advanced courses. The following regulations apply with regard to these task sets:

\begin{itemize}
  \item The subject teacher determines which task set corresponds to their course (basic course or advanced course) and the aid used in instruction (GDC or CAS).
  \item Each task set (for the basic course and the advanced course, for GDC and for CAS) contains five tasks each: two analysis tasks, one task on vector geometry and one task on statistics, which may relate to the focal points ``characteristics of probability distributions'' and ``binomial distribution'' (in the basic course) or the focal points ``characteristics of probability distributions'', ``binomial distribution and normal distribution'' and ``hypothesis testing'' (in the advanced course). Furthermore, an additional analysis task is provided.
  \item Basic course and advanced course: The second examination part consists of three tasks from the corresponding task set: From the two analysis tasks mentioned first above, the teacher selects exactly one task. Furthermore, the teacher selects two tasks from the remaining tasks (task on vector geometry, task on statistics, additional analysis task).
  \item Task selection by students is not provided for.\\
c) Aids
  \item Dictionary for German spelling
  \item GDC (Graphics Calculator) or CAS (Computer Algebra System)
  \item Mathematical formula collection
\end{itemize}

\section*{d) Duration of Written Examination}
The working time including selection time is 255 minutes in the basic course and 300 minutes in the advanced course. ${ } ^ { 1 }$

\section*{III. Overview - Content Focal Points of the Core Curriculum and Focuses}
The focuses indicated below each relate to the content focal points specified in Chapter 2 of the core curriculum, which in their entirety are mandatory for written abitur examinations. In the overview below, they are therefore listed in full. The overarching competence expectations as well as the content focal points with their assigned concrete competence expectations remain binding, regardless of whether focuses have been established.

\footnotetext{${ } ^ { 1 }$ The duration of the written examination is indicated for uniform presentation in all subjects with student selection including selection time. This is done analogously to the KMK agreement on the design of the upper secondary level and the abitur examination (Resolution of the Conference of Ministers of Education from 07.07.1972 as amended on 18.02.2021).
}\section*{Basic Course}
\begin{center}
\begin{tabular}{|l|l|l|}
\hline
Functions and Analysis & Analytical Geometry and Linear Algebra & Statistics \\
\hline
Functions as mathematical models & Linear systems of equations & Characteristics of probability distributions \\
\hline
\begin{tabular}{l}
Continuation of differential calculus \\
- Investigation of polynomial functions \\
- Investigation of functions of the type $f ( x ) = p ( x ) e ^ { a x + b }$, where $p ( x )$ is a polynomial with at most three terms \\
- Investigation of functions that result as simple sums of the above-mentioned function types \\
- Interpretation and determination of parameters of the above-mentioned functions \\
- Necessary differentiation rules (product rule, chain rule) \\
\end{tabular} & Representation and investigation of geometric objects & Binomial distribution \\
\hline
Basic understanding of the integral concept & Position relationships &  \\
\hline
Integral calculus & Scalar product &  \\
\hline
\end{tabular}
\end{center}

\section*{Advanced Course}
\begin{center}
\begin{tabular}{|l|l|l|}
\hline
Functions and Analysis & Analytical Geometry and Linear Algebra & Statistics \\
\hline
Functions as mathematical models & Linear systems of equations & Characteristics of probability distributions \\
\hline
\begin{tabular}{l}
Continuation of differential calculus \\
- Treatment of polynomial functions, natural exponential and logarithmic functions and their combinations or compositions with investigation of properties depending on parameters \\
- Necessary differentiation rules (product rule, chain rule) \\
\end{tabular} & Representation and investigation of geometric objects & Binomial distribution and normal distribution \\
\hline
Basic understanding of the integral concept & Position relationships and distances & Hypothesis testing \\
\hline
Integral calculus & Scalar product &  \\
\hline
\end{tabular}
\end{center}
Paper Questions