Devoir 1 S01 - Nombres Décimaux et Opérations
📅 April 18, 2024 | 👁️ Views: 298
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\documentclass[12pt,a4paper]{article}
% Packages for formatting
\usepackage[landscape, margin=1cm]{geometry} % Set landscape layout and margins
\usepackage{lipsum} % Generate placeholder text, you can remove this
\usepackage{multicol} % For multiple columns
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{tabularx,tabulary}
\usepackage{array} % Add the array package for 'm' column type
\usepackage{graphicx}
\usepackage{booktabs}
\usepackage{draftwatermark}
\usepackage{fontenc}
\usepackage{setspace}
\setstretch{1.5}
\SetWatermarkText{MOSAID}
\SetWatermarkLightness{0.95}
\SetWatermarkScale{0.4}
\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
\begin{document}
\thispagestyle{empty}
\setlength{\columnsep}{1cm} % Adjust the column separation here
\setlength{\columnseprule}{1pt}
\newcolumntype{M}[1]{>{\centering\arraybackslash}m{#1}}
\begin{multicols}{2} % Start two-column layout
\noindent
\begin{tabularx}{\linewidth}{|M{0.30\linewidth}|M{0.25\linewidth}|M{0.35\linewidth}|}
\hline
Collège Tariq Ben Ziad 2
&
Devoir à domicile N 1
&
Année Scolaire 2023-2024
\\ \hline
Prof : MOSAID
&
1APIC-A
&
durée : 1h30min
\\ \hline
\end{tabularx}
\begin{tabularx}{\linewidth}{|p{0.965\linewidth}|}
Nom et prénom : \\
\hline
\end{tabularx} \\
\noindent
\underline{\textbf{Exercice 1:}}\\
1) Calculer les expressions suivantes: \\
$A=(2,5+2)\times(6,5-2)=$\dotfill \\
\hspace*{0.4cm}=\dotfill = \dotfill\\
$B=2,2\times4+27,15:3=$\dotfill \\
\hspace*{0.4cm}=\dotfill = \dotfill\\
$C=15,5:5\times2-3\times1,2+2$=\dotfill \\
\hspace*{0.4cm}=\dotfill = \dotfill\\
2) Factoriser puis Calculer: \\
$A=3,4\times102-3,4\times2$=\dotfill \\
\hspace*{0.4cm}=\dotfill = \dotfill\\
$B=71,15\times0,25+71,15\times0,75$=\dotfill \\
\hspace*{0.4cm}=\dotfill = \dotfill\\
\underline{\textbf{Exercice 2:}}\\
1) Simplifier les fractions suivantes: \\
$x=\frac{45}{30}=$\dotfill \\
.\dotfill\\
$y=\frac{12\times11}{22\times24}=$\dotfill \\
.\dotfill\\
2) Calculer: \\
$A=\frac{3}{2}+\frac{5}{2} =$\dotfill \\
\hspace*{0.4cm}=\dotfill \\
$B=\frac{5}{7}+\frac{3}{2}=$\dotfill \\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
$C=\frac{12}{16}\times\frac{8}{7}\times\frac{14}{4}=$\dotfill \\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
$D=\left(\frac{1}{4}+\frac{1}{8}\right)\times\left(1-\frac{1}{2}\right)$ = \dotfill\\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
$E=\Large{\ddfrac{ \frac{5}{7} }{ \frac{3}{2} } }$ = \dotfill\\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
$D=\left(\frac{1}{4}+\frac{1}{8}\right)\div\left(1-\frac{1}{2}\right)$ = \dotfill\\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
\hspace*{0.4cm}=\dotfill \\
\underline{\textbf{Exercice 3:}}\\
1) Déterminer $a$ et $b$ tels que \hspace*{0.5cm} $\frac{12}{a}=\frac{24}{4}$ et $\frac{b}{3}=\frac{5}{2}$\\
\hspace*{1.4cm}$a=$\dotfill $b=$\dotfill \\
2) Completer par le nombre qui convient: \hspace*{0.5cm}
$\ddfrac{2}{4}=\ddfrac{...}{36}=\ddfrac{20}{...}$ \\
\textcolor{white}{.}\hfill \textbf{\underline{Bonne Chance}}\\
\end{multicols} % End two-column layout
\end{document}
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Frequently Asked Questions
What chapters or courses does this exam cover?
This exam covers: the relevant chapters. It is designed to test understanding of these topics.
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The exam contains approximately several questions.
Is this exam aligned with the official curriculum?
Yes, it follows the 1apic maths guidelines.
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The course "Devoir 1 S01 - Nombres Décimaux et Opérations" covers key concepts of maths for 1apic. Designed to help students master the curriculum.
Is this course suitable for beginners?
Yes, the material is structured to be accessible while providing depth for advanced learners.
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Exercises are included to help you practice.
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