From 0a09464535244e246da97cf9266326f5030322e9 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 20 Sep 2022 14:15:03 +0200 Subject: [PATCH] Feat: ajoute le devoir pour les 2nd1 --- 2nd/Evaluations/DS_2022-09-22/exercises.tex | 101 ++++++++++++++++++++ 2nd/Evaluations/DS_2022-09-22/sujet.pdf | Bin 0 -> 24563 bytes 2nd/Evaluations/DS_2022-09-22/sujet.tex | 25 +++++ 3 files changed, 126 insertions(+) create mode 100644 2nd/Evaluations/DS_2022-09-22/exercises.tex create mode 100644 2nd/Evaluations/DS_2022-09-22/sujet.pdf create mode 100644 2nd/Evaluations/DS_2022-09-22/sujet.tex diff --git a/2nd/Evaluations/DS_2022-09-22/exercises.tex b/2nd/Evaluations/DS_2022-09-22/exercises.tex new file mode 100644 index 0000000..0240e02 --- /dev/null +++ b/2nd/Evaluations/DS_2022-09-22/exercises.tex @@ -0,0 +1,101 @@ +\begin{exercise}[subtitle={En vrac}, step={1}, origin={Ma tête}, topics={ Information chiffrée }, tags={ }, points={6}] + Les questions suivantes sont indépendante les unes des autres. + \begin{enumerate} + \item Sur 150 candidats à l'examen, 120 ont été admis. Calculer la proportion de candidats admis. Vous donnerez le résultat sous forme d'une fraction irréductible, d'une nombre décimal et d'un pourcentage. + \item Dans un lycée \np{1250} élèves, il y a 26\% des élèves qui ont les yeux bleus. Calculer le nombre d'élèves qui ont les yeux bleus. + \item Dans un panier, il y a 3kg de carottes ce qui représente 15\% du poids total du panier. Calculer le poids total du panier. + \item Dans un devoir 40\% des questions sont des questions de calculs. Parmi les questions de calculs, 50\% sont faciles. Quelle est la proportion de calculs facile dans ce devoir? + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Orientation}, step={1}, origin={Sesamath 2nd}, topics={ Information chiffrée }, tags={ }, points={7}] + A l'issue du conseil de classe du troisième trimestre, le professeur principale d'une classe de 2nd, qui compte 32 élèves, fait le bilan des orientations des élèves pour la première dans le tableau ci-dessous. + + Il a aussi noté que, parmi les 20 filles de la classe, une se dirige vers la voie professionnelle alors qu'un quart d'entre elles poursuivront leurs études en classe de première technologique. + + \begin{enumerate} + \item Calculer la proportion de filles dans cette classe. + \item Combien de filles vont poursuivre leurs études en première technologique? + \item Compléter le tableau sur le sujet. Vous écrirez les calculs réalisés directement dans les cases du tableau. + + \begin{center} + \begin{tabular}{|c|*{4}{p{3.5cm}|}} + \hline + & Générale & Technologique & Professionnelle & total \\ + \hline + Garçons & 5 & 5 & & \\[1.5ex] + \hline + Filles & & & & \\[1.5ex] + \hline + Total & & & & \\[1.5ex] + \hline + \end{tabular} + \end{center} + \item Les affirmations suivantes sont elles vraies ou fausses? + \begin{enumerate} + \item Moins de 10\% des élèves sont des garçons qui iront en voie technologique. + \item Les trois quarts des élèves vont en première générale. + \item La proportion des élèves qui vont en première professionnelle est inférieur à 0.05. + \end{enumerate} + \end{enumerate} +\end{exercise} + +\begin{solution} + \begin{enumerate} + \item + \[ + \frac{\mbox{nombre de fille}}{\mbox{nombre total d'élèves}} = \frac{20}{32} = 0.625 = 62.5\% + \] + \item + \[ + \frac{1}{4} \times 20 = 5 \mbox{filles vont en première technologique} + \] + \item + \begin{center} + \begin{tabular}{|c|*{4}{c|}} + \hline + & Générale & Technologique & Professionnelle & total \\ + \hline + Garçons & 5 & 5 & 2& 12\\ + \hline + Filles & 14 & 5 & 1 & 20\\ + \hline + Total & 19 & 10 & 3 & 32\\ + \hline + \end{tabular} + \end{center} + \item + \begin{enumerate} + \item Proportion des élèves qui sont des garçons allant en voie technologique. + \[ + \frac{5}{32} = 0.15625 = 15.625\% > 10\% + \] + C'est donc faux + \item Proportion des élèves qui vont en première générale + \[ + \frac{19}{32} = 0.59375 \approx 59\% < 75\% = \frac{3}{4} + \] + C'est donc faux + \item Proportion des élèves qui vont en première professionnelle + \[ + \frac{3}{32} = 0.09375 > 0.05 + \] + C'est donc faux + \end{enumerate} + \end{enumerate} +\end{solution} + +\begin{exercise}[subtitle={Fractions}, step={1}, origin={Ma tête}, topics={ Information chiffrée }, tags={ }, points={7}] + \begin{enumerate} + \item Rendre la fraction suivante irréductible: $\dfrac{15}{75}$ + \item Faire les calculs suivants et donner le résultat sous forme d'une fraction irréductible. + \begin{multicols}{3} + \begin{enumerate} + \item $\dfrac{3}{5} + \dfrac{7}{5}$ + \item $\dfrac{1}{2} - \dfrac{3}{5}$ + \item $\dfrac{3}{5} \times 4$ + \end{enumerate} + \end{multicols} + \item (*) Lors de sa journée Peter déclare avoir passé les deux tiers de son temps au lycée, un quart à faire du sport, un douzième à se reposer et un sixième à faire ses devoirs. Que pensez vous de cette affirmation? + \end{enumerate} +\end{exercise} diff --git a/2nd/Evaluations/DS_2022-09-22/sujet.pdf b/2nd/Evaluations/DS_2022-09-22/sujet.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e0bc51a91939ae09a220a58c684a5acd8cec56f5 GIT binary patch literal 24563 zcmce-1FUS_wk^DuxtDEwFWa_l+qP}nwr$(CZJY1=?)&e5PV!D}US4ueB{i!u=B(LA zOKYR2dT(Hhbb z|2qCPE^p*u<797On!^ba1pc(zAkeU0;BmmL;3s1^fl}1#k;#WNrBWo%!qA-}7hr>(2i<9IXE~9Bltl z9CUv(`0pWv?r#zN=NO@*|MwyJ&uWYA-zP5mzv=$ZaYFyM1pYnhqG$NeBKbQ_{+p06 z|7Vf>E#`j@5{AE*;D4*@e@gKTbc_uDNb>(k@lzTSF@$ZuyI*QPn=TQzr2}#&%$z@SZ9uI8Lyo!IN)ez>LPtZ;dS{nNzhfV{)><(6l_tI9V` zixrB&t}lQt%3rWVYP??adG#se0Nbt$8>M$WrU+{q?*16Z`uIu&dCeyTdfB^N#4|&hnUrt4xj5$J>=#G|`=~t$m>&!A(;eFf~9(%Vo zpFcxG?j%7aj~X>9HS*M{JqpHBrKvG3q1CMwEs)roU6*!7GDVAK0%tx|b=BUfI)i!K zj9`!>{;bcw~R`c*X&V%-=AR2?&zL z1l$dct?H+9icbD~-s{OJ=!Z>x-m|(jY$JMi9`l)8m@!xcsr$mHqj|UBp0v32IW~*; z@p~5i`2$t4D04@b^gV^=v&za6C6QPuRa_2V>V-*)T6ZA6rKmz@E9uqR<843bPQDt= 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