\documentclass[a4paper,12pt]{article}
\usepackage[left=1.00cm, right=1.00cm, top=2cm, bottom=1.50cm]{geometry}
\usepackage[utf8]{inputenc}
\usepackage[french]{babel}
\usepackage{amsmath, amssymb}
\usepackage{graphicx}
\usepackage{xcolor}
\usepackage{multicol}
\usepackage{enumitem}
\usepackage{mathrsfs}
\usepackage{tcolorbox,varwidth}
\usepackage{fontspec}

\usepackage{colortbl}
\usepackage{libertinus}

\tcbuselibrary{skins,breakable}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{shadows}
\usepackage{tabularx, array}
\usepackage{fancyhdr}
\usepackage{setspace}

% Define column type for centered cells
\newcolumntype{Y}{>{\centering\arraybackslash}X}
\newcolumntype{M}[1]{@{}>{\centering\arraybackslash}m{\#1}@{}}

\newcommand{\tb}{\tikz[baseline=-0.6ex]{\fill (0,0) circle (2pt);}~}


% define tight enemerate on first level only {1}
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\newlist{tighten}{enumerate}{1}
\setlist[tighten]{label=\textbf{\Alph*.~}, leftmargin=*, itemsep=0pt, topsep=0pt, parsep=0pt, partopsep=0pt}



\usepackage{bidi}

\newfontfamily\arabicfont[Script=Arabic,Scale=1.1]{Amiri}


% --- Colors ---

\definecolor{lightgray}{gray}{0.6}



% --- Basic Settings ---
\def\professor{R. MOSAID}
\def\classname{1APIC}
\def\examtitle{Série exercises}
\def\schoolname{\textbf{Lycée :} Taghzirt}
\def\academicyear{2025/2026}
\def\secondtitle{\small Chapitre 3 : Nombres relatifs}
\def\duration{2h}
\def\province{Direction provinciale de\\ Beni Mellal}
\def\logo{\includegraphics[width=\linewidth]{images/logo-men.png}}
\def\wsite{\color{magenta}\texttt{www.mosaid.xyz}}
\def\ddate{\hfill \number\day/\number\month/\number\year~~}
\def\bottommsg{Bonne chance!}
\setstretch{1.3}
\everymath{\displaystyle}

% --- Exercise Theme 11 ---
% --- Theme 11: Chevron arrow banner (as in scanned sheet) ---
\definecolor{arrowblue}{RGB}{0,140,180}
\definecolor{bannerblue}{RGB}{210,240,240}

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\newcommand{\printexo}[3]{%
  \if\relax\detokenize{\#2}\relax
    \def\fulltitle{Exercice #1}%
  \else
    \def\fulltitle{Exercice #1~#2}%
  \fi
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  \vspace{0.2cm}%
}
% --- Header Style 9 ---
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  \arrayrulecolor{lightgray}

  \begin{tabular}{m{0.3\textwidth} m{0.34\textwidth} m{0.3\textwidth}}
      \textbf{\classname} & \centering \textbf{\examtitle}
      & \ddate \\
      \wsite & \centering \large\textbf{\secondtitle}
      &\hfill
        \begin{tabular}{|c}
          \hline
          \textbf{~~\professor}
        \end{tabular}\\
      \hline
  \end{tabular}

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    \printheadnine
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\pagestyle{fancy}%
\begin{document}

% Two-column layout
\setlength{\columnsep}{0.5cm}
\setlength{\columnseprule}{2pt}
\renewcommand{\columnseprulecolor}{\color{black}}
\begin{multicols}{2}[\raggedcolumns]
\vspace*{-\topskip}

% Exercise 1
\printexo{1}{}{
\begin{tightenum}
    \item Sur une droite graduée (on prendra 1 cm pour une unité), placer les points suivants : \\
      \hspace*{-0.5cm} $A(-5) ~;~ B(4,3) ~;~ C(-6,5) ~;~ D(-0,5) ~;~ E(7) ~;~ F(2,1)$
    \item Ranger les abscisses dans l'ordre croissant.
    \item Calculer les distances : \\ $AB ~;~ CD ~;~ BF ~;~ AC ~;~ ED ~;~ AE$
    \item Calculer les abscisses possibles d'un point ~$G$~ tel que ~$AG = 2cm$~.
\end{tightenum}
}

% Exercise 2
\printexo{2}{}{
Sur une droite graduée, on considère les points \\
~$A(-8)~,~B(-11)~,~C(31,5)~,~D(-8,5) ~~et~~ E(-7)$~\\. Calculer les distances ~$AC~,~BE~,~BC~,~CD~,~CE$~.
}

% Exercise 3
\printexo{3}{}{
Calculer les différences suivantes en écrivant l'étape intermédiaire : \\
\noindent
\begin{minipage}{0.35\textwidth}
\begin{tighten}
    \item $(-3) - (-5)$
    \item $(+7) - (+13)$
    \item $(-5) - (+6)$
    \item $(+18) - (+5)$
    \item $(-12) - (-8)$
    \item $(+9) - (-3)$
    \item $(-5) - 2$
    \item $-8 + 3{,}5$
\end{tighten}
\end{minipage}
\hfill
\begin{minipage}{0.45\textwidth}
\begin{tighten}[start=9]
    \item $(-3) - (-5)$
    \item $(+7) - (+13)$
    \item $2 - (-2)$
    \item $4 - 7$
    \item $(-9) - 5$
    \item $(-11{,}3) - 15{,}4$
    \item $3 - (-12)$
    \item $(-12) - 38$
    \item $-27 - 40$
\end{tighten}
\end{minipage}
}

% Exercise 4
\printexo{4}{}{
Calculer mentalement les produits suivants :
\begin{tighten}
    \item \(-25 \times 4 =\) \item \(4 \times (-125) =\)
    \item \(-0,5 \times (-8) =\) \item \(0,25 \times (-12) =\)
    \item \(0,2 \times (-45) =\) \item \(-9,8 \times 100 =\)
    \item \(-1.000 \times 1,234 =\) \item \(-0,1 \times (-987) =\)
    \item \(-0,001 \times (-100) =\) \item \(0,01 \times (-2.015) =\)
\end{tighten}
}

% Exercise 5
\printexo{5}{}{
Quel est le signe de chacun de ces produits ? Le calcul n'est pas demandé.
\begin{tighten}
    \item \(4 \times (-7) \times (-6) \times 5 \times 3\)
    \item \(1,5 \times (-1,6) \times (-1,9) \times 1,1 \times (-1,4)\)
    \item \(1 \times (-2) \times 3 \times (-4) \times 5 \times (-6) \times 7\)
    \item \(-6 \times (-8) \times (-7) \times (-6) \times (-5)\)
    \item \(-9 \times 9 \times (-9) \times 9 \times 9 \times (-9)\)
    \item \(-7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \times 0\)
\end{tighten}
}

% Exercise 6
\printexo{6}{}{
Calculer, en respectant les étapes :
\begin{itemize}[label=\textbullet]
    \item A = \((-6 + 9) \times (5 - 12)\)
    \item B = \(6 \times [3 \times (-8)]\)
    \item C = \(-4 \times 7 - (-2) \times (-8)\)
    \item D = \(-7 \times 5 - 3 \times 11\)
    \item E = \(-5 \times (7 - 13 + 2)\)
    \item F = \(25 - (-2) \times (-9) \times 3\)
\end{itemize}
}

% Exercise 7
\printexo{7}{}{
Calculer les différentes sommes (on écrira toutes les étapes) : \\
\begin{tabular}{>{$}r<{$}@{}>{$}l<{$}}
A &= (-7) + (-3) + (+8) + (+4) + (-2) \\
B &= (-6) + (+2) – (-15) + (-1) – (+3) \\
C &= 15 – 3 + 2 – 7 – 21 \\
D &= -4 + 31 – 10 – 5 + 22 – 4 \\
E &= (-3) – (+10) – (+5) – (-2) \\
F &= (+3) – (-4) + (-7) + (+2) + 11 \\
G &= (+7) – (+10) – (-9) + (-3)
\end{tabular}
}
\vspace*{-0.5cm}
\begin{center}
   \vskip 3pt \hrule height 3pt \vskip 5pt \RL{\arabicfont ﴿بِسْمِ ٱللَّهِ ٱلرَّحْمَـٰنِ ٱلرَّحِيمِ هَلْ أَتَىٰ عَلَى ٱلْإِنسَـٰنِ حِينٌ مِّنَ ٱلدَّهْرِ لَمْ يَكُن شَيْـًٔا مَّذْكُورًا (1)•  إِنَّا خَلَقْنَا ٱلْإِنسَـٰنَ مِن نُّطْفَةٍ أَمْشَاجٍ نَّبْتَلِيهِ فَجَعَلْنَـٰهُ سَمِيعًۢا بَصِيرًا (2)•  إِنَّا هَدَيْنَـٰهُ ٱلسَّبِيلَ إِمَّا شَاكِرًا وَإِمَّا كَفُورًا (3)•  إِنَّآ أَعْتَدْنَا لِلْكَـٰفِرِينَ سَلَـٰسِلَا۟ وَأَغْلَـٰلًا وَسَعِيرًا (4)•  إِنَّ ٱلْأَبْرَارَ يَشْرَبُونَ مِن كَأْسٍ كَانَ مِزَاجُهَا كَافُورًا (5)•  عَيْنًا يَشْرَبُ بِهَا عِبَادُ ٱللَّهِ يُفَجِّرُونَهَا تَفْجِيرًا (6)•  يُوفُونَ بِٱلنَّذْرِ وَيَخَافُونَ يَوْمًا كَانَ شَرُّهُۥ مُسْتَطِيرًا (7)• ﴾\\ (الإنسان الآيات 1-7) }
\end{center}

\end{multicols}

\end{document}