From f839d9c135c0e1951800c497166bfa30c30cacc8 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 10 Mar 2022 11:35:37 +0100 Subject: [PATCH] Feat: V1 du DS7 pour les 2nd --- 2nd/Evaluations/DS_2022-03-18/exercises.tex | 114 ++++++++++++++++++++ 2nd/Evaluations/DS_2022-03-18/sujet.pdf | Bin 0 -> 32854 bytes 2nd/Evaluations/DS_2022-03-18/sujet.tex | 28 +++++ 3 files changed, 142 insertions(+) create mode 100644 2nd/Evaluations/DS_2022-03-18/exercises.tex create mode 100644 2nd/Evaluations/DS_2022-03-18/sujet.pdf create mode 100644 2nd/Evaluations/DS_2022-03-18/sujet.tex diff --git a/2nd/Evaluations/DS_2022-03-18/exercises.tex b/2nd/Evaluations/DS_2022-03-18/exercises.tex new file mode 100644 index 0000000..6c87798 --- /dev/null +++ b/2nd/Evaluations/DS_2022-03-18/exercises.tex @@ -0,0 +1,114 @@ +\begin{exercise}[subtitle={Géométrie}, step={1}, origin={Création}, topics={ Géométrie repérée }, tags={ Coordonnées de points }, points=7] + % Géométrie repérée + \noindent + \begin{minipage}{0.65\linewidth} + \begin{enumerate} + \item Quelles sont les coordonnées du point $D$? + \item Placer les points dans le repère orthonormée ci-contre. + \[ + A(-2; 0) \qquad C(3;2) + \] + \item Calculer les coordonnées de $I$ le milieu de $[AC]$. + \item Calculer la distance $AC$. + \end{enumerate} + \end{minipage} + \hfill + \begin{minipage}{0.4\linewidth} + \begin{tikzpicture} + \repere{-3}{3}{-3}{3} + \draw (0, -2) node {x} node [ below left ] {$D$}; + \end{tikzpicture} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Permis}, step={1}, origin={Création}, topics={ Ensemble et probabilité }, tags={ Probabilité }, points={6}] + On a réuni un groupe de jeune à qui on a demandé s'ils avaient leur permis et où ils habitaient. Les données on été retranscrites dans le tableau suivant + + \begin{center} + \begin{tabular}{|c|*{3}{p{3cm}|}} + \hline + & Permis & Sans Permis & Total \\ + \hline + Ile de France & 176 & 264 & 440 \\ + \hline + Autre & 420 & 140 & 560 \\ + \hline + Total & 596 & 814 & 1000 \\ + \hline + \end{tabular} + \end{center} + On tire au hasard un élève dans ce groupe. + \begin{enumerate} + \item Quelle est la probabilité pour que le jeune ai le permis? + \item Quelle est la probabilité pour que le jeune vienne d'Ile de France et n'ai pas le permis? + \item Dans la suite on définit les deux évènements suivant + \[ + A = \left\{ \mbox{ a le permis } \right\} \qquad + B = \left\{ \mbox{vient d'Ile de France} \right\} + \] + Traduire les probabilités suivantes en français puis les calculer + \begin{multicols}{4} + \begin{enumerate} + \item $P(B)$ + \item $P(\overline{A})$ + \item $P(A \cap B)$ + \item $P(A \cup B)$ + \end{enumerate} + \end{multicols} + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Augmentation de salaire}, step={1}, origin={Sesamath 66p302}, topics={ Statistiques }, tags={ médiane, moyenne, quartiles }, points={6}] + Une entreprise, où le salaire mensuel moyen est de \np{2339.59}\euro, propose une augmentation généralisée du salaire de ses employés, selon deux modalités possibles: + \begin{itemize} + \item modalité 1: tous les salaires augmentent de 10\%. + \item modalité 2: tous les salaires augmentent de 200\euro. + \end{itemize} + \begin{enumerate} + \item L'entreprise réalise un votre auprès de ses employés pour savoir quelle modalité choisir. À votre avis, quelle modalité va être choisie par les employés? + \end{enumerate} + La répartition des salaires dans l'entreprise est la suivante + \begin{center} + \begin{tabular}{|c|*{4}{p{2cm}|}} + \hline + Salaire & 1450 & 1510 & 1925 & 5125 \\ + \hline + Nombre d'employés & 15 & 10 & 15 & 10 \\ + \hline + \end{tabular} + \end{center} + \begin{enumerate} + \setcounter{enumi}{1} + \item Justifier que le salaire mensuel moyen est bien de \np{2339.50}\euro. + \item Calculer la médiane, les quartiles $Q_1$ et $Q_3$ et l'écart interquartile de cette série des salaires dans l'entreprise. + \item De manière "Très surprenante", le résultats du votre montre que les emplyés préfèrent la modalité 2. Expliquer pourquoi. + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Tableau}, step={1}, origin={Création}, topics={ Informations chiffrées }, tags={ Taux d'évolution }, points={3}] + Compléter le tableau suivant en détaillant les calculs sur votre copie + \begin{center} + \begin{tabular}{|c|*{4}{c|}} + \hline + & Valeur initiale & Valeur finale & Taux d'évolution & Coefficient multiplicateur \\ + \hline + 1. & 4.5 & & +40\% & \\ + \hline + 2. & 64 & 21 & & \\ + \hline + 3. & \np{1300} & & & 0.8 \\ + \hline + \end{tabular} + \end{center} +\end{exercise} + +\begin{exercise}[subtitle={Photocopies}, step={1}, origin={Création}, topics={Informations chiffrées}, tags={Taux d'évolution}, points={3}] + On souhaite faire baisser le nombre de photocopies de 20\% en un an. Au premier trimestre, ce nombre a diminué de 10\% pour ensuite augmenter de 8\% au deuxième trimestre et enfin diminuer de 6\% au troisième trimestre. + + Deux employés s'expriment sur la situation + \begin{itemize} + \item Jeanne dit que le nombre de photocopies a au total diminué de 8\% et que l'objectif du 4e trimestre est de diminuer de le nombre de photocopies de 12\%. + \item Christophe lui pense qu'il faudrait plutôt diminuer de 14 voir 15\% au 4e trimestre si l'on veut atteindre l'objectif. + \end{itemize} + Que pensez vous de l'affirmation de ces deux employés? +\end{exercise} diff --git a/2nd/Evaluations/DS_2022-03-18/sujet.pdf b/2nd/Evaluations/DS_2022-03-18/sujet.pdf new file mode 100644 index 0000000000000000000000000000000000000000..536eeb029e9f0229b2f0d2c43c26cf84abfcdd36 GIT binary patch literal 32854 zcmce-1CVUZwk_P^y<7Z#;qpk;w1nO+%K9{D{#JPOH-PmgbBXbH*9jZdfSVQ+#@r!Hq` zX=3DzPp9N!==>i&qIQlp_;mlc{>L{M@aY5v?cDLT{(6)ipMm~=zjg5GWDJ}gE&kEZ 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--git a/2nd/Evaluations/DS_2022-03-18/sujet.tex b/2nd/Evaluations/DS_2022-03-18/sujet.tex new file mode 100644 index 0000000..ccf8a2d --- /dev/null +++ b/2nd/Evaluations/DS_2022-03-18/sujet.tex @@ -0,0 +1,28 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +% Title Page +\title{ DS7 \hfill } +\tribe{2nd} +\date{2022-03-18} +\duree{1h} + +\DeclareExerciseCollection[step=1]{banque} +\xsimsetup{collect} + + +\begin{document} +\thispagestyle{empty} +\maketitle + +Le barème est donné à titre indicatif, il pourra être modifié. + +\input{exercises.tex} +\printcollection{banque} +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: +