\documentclass[a4paper, 12pt, landscape]{exam}

\usepackage[left=1.5cm,right=1.5cm,top=1cm,bottom=1cm]{geometry}

\usepackage[utf8]{inputenc}
\usepackage{fontspec}
\usepackage{amsmath, amsfonts, amssymb, amsthm}
\usepackage{graphicx}
\usepackage{xcolor}
\usepackage{multicol}
\usepackage{enumitem}
\usepackage{mathrsfs}
\usepackage{colortbl}
\usepackage{tcolorbox,varwidth}

\tcbuselibrary{skins,breakable}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{shadows}
\usepackage{tabularx, array}
\usepackage{setspace}
\usepackage{hyperref}
\hypersetup{
    colorlinks=true,
    urlcolor=magenta
}



% French language support
\usepackage[french]{babel}

% Bottom message in Arabic requires bidi package
\usepackage{bidi}
\newfontfamily\arabicfont[Script=Arabic,Scale=1.1]{Amiri}

% Two-page layout (conditionally included)



% --- Colors ---
\definecolor{maroon}{cmyk}{0,0.87,0.68,0.32}
\definecolor{pBlue}{RGB}{102, 53, 153}

\definecolor{myblue}{HTML}{1D2A6E}
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\definecolor{arrowblue}{RGB}{0,140,180}
\definecolor{bannerblue}{RGB}{210,240,240}

% --- Basic Settings ---
% Language variables for French exams
\def\professor{R. MOSAID}  % Should be R. MOSAID not {{R. MOSAID}}
\def\classname{TCSF}
\def\examtitle{Devoir 02 - S01 \circled{B}}
\def\schoolname{\textbf{Lycée :} Taghzirt}
\def\academicyear{2025/2026}
\def\subject{Mathématiques}
\def\duration{2h}
\def\secondtitle{\small{visit ~~\wsite~~ for more!}}
\def\province{Direction provinciale\newline de Beni Mellal}
\def\logo{\includegraphics[width=\linewidth]{images/logo-men.png}}
\def\wsite{\href{https://www.mosaid.xyz}{\textcolor{magenta}{\texttt{www.mosaid.xyz}}}}
\def\ddate{\hfill \number\day/\number\month/\number\year~~}


% Exam-specific settings and custom definitions
% This file is generated in the current working directory
% Edit this file to customize your exam settings



% 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);}~}

\newcommand{\ccc}[1]{
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        \node[circle, inner sep=3pt, draw=black, outer sep=0pt] at (0.5,0.2) {\#1};
    \end{tikzpicture}
}


\newcommand{\circled}[1]{%
  \tikz[baseline=(char.base)]{
    \node[shape=circle,draw,inner sep=1pt, font=\bf] (char) {\#1};}%
}



% Document spacing
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% Math display style
\everymath{\displaystyle}

\mathversion{bold}

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}



% Custom theorem environments (uncomment if needed)
% \newtheorem{theorem}{Theorem}
% \newtheorem{lemma}{Lemma}
% \newtheorem{corollary}{Corollary}

% Custom exercise environments (uncomment if needed)
% \newenvironment{solution}{\begin{proof}[Solution]}{\end{proof}}
% \newenvironment{remark}{\begin{proof}[Remark]}{\end{proof}}

% Custom commands for this exam (add your own below)
% \newcommand{\answerline}[1]{\underline{\hspace{\#1}}}
% \newcommand{\points}[1]{\hfill(\mbox{\#1 points})}

% Additional packages (uncomment if needed)
% \usepackage{siunitx} % For SI units
% \usepackage{chemformula} % For chemical formulas
% \usepackage{circuitikz} % For circuit diagrams

% Page layout adjustments
% \setlength{\parindent}{0pt}
% \setlength{\parskip}{1em}

% Custom colors for this exam
% \definecolor{myblue}{RGB}{0,100,200}
% \definecolor{mygreen}{RGB}{0,150,0}

% ----------------------------------------------------------------------
% ADD YOUR CUSTOM DEFINITIONS BELOW THIS LINE
% ----------------------------------------------------------------------

% Example:
\newcommand{\dif}{\mathrm{d}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\C}{\mathbb{C}}

% Exam settings
\pointsinmargin
\pointname{}
\pointformat{\textcolor{red}{\circled{\thepoints}}}
\colorfillwithdottedlines
\definecolor{FillWithDottedLinesColor}{gray}{0.7}
\unframedsolutions
\renewcommand{\solutiontitle}{\noindent\textbf{\textcolor{green!70!black}{Solution}}\enspace}
\SolutionEmphasis{\itshape\small}
\SolutionEmphasis{\color{red}}


% Exercise Theme 1: TikZ shadow title
\newcommand{\exothemeone}[1]{%
\par\vspace{0pt}\noindent\leavevmode
\begin{tikzpicture}[baseline=(text.base)]
    \node[] (text) at (0,0) {\textbf{\#1}};
    \fill[black] ([xshift=0.1cm, yshift=-0.1cm]text.south west)
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    \node[] at (text) {\textbf{\#1}};
\end{tikzpicture}\\[0.2cm]
}

\newcommand{\printexo}[3]{%
  \if\relax\detokenize{\#2}\relax
    \def\fulltitle{Exercice #1}%
  \else
    \def\fulltitle{Exercice #1~#2}%
  \fi
  \exothemeone{\fulltitle}%
  \noindent #3%
  \vspace{0.2cm}%
}



\begin{document}
\pagestyle{empty}

% Two-column layout
    \setlength{\columnsep}{2cm}
    \setlength{\columnseprule}{2pt}
    \renewcommand{\columnseprulecolor}{\color{black}}
    \begin{multicols}{2}[\raggedcolumns]
    \vspace*{-\topskip}
% Header for first column in landscape mode
\noindent\begin{tabularx}{\linewidth}{@{}YYY@{}}
  \schoolname & \examtitle & \academicyear \\
  Prof: \professor & \classname & Dur\'ee: \duration \\
  \hline
\end{tabularx}\\[0.3cm]

\vspace*{-0.5cm}
% Exercise 1 (originally 1)
\printexo{1}{~$: 20~ points$~}{
% Exercise 1
\vspace*{-0.3cm}
\begin{questions}
    \question[1] Simplifier ~$B=2\sqrt{27}-3\sqrt3+\sqrt{75}$~
    \question[1] Rendre le dénominateur rationel  ~$C=\frac{1}{\sqrt3-\sqrt2}$~\\
    \question[2] Calculer et simplifier $ D = \left(\frac{(b \times b^4)^2 \times a^{-3}}{(a \times b^2)^3 \times (b^{-4})^{-1}}\right)^{-2}$\\
    \question[1]  Développer ~$E=\left( 2\sqrt{3} + 3\sqrt{2} \right)^3$~
    \question[1]  Développer ~$F=x(x-2)(x-3)$~
    \question[2]  Factoriser ~$G=x^3+1-3(x^2-1)+3x+3$~
    \question[3]  Résoudre ~$|1-3x|=7$~
    \quad ;\quad   ~$|x+5|=-5$~
    \quad ;\quad  ~$|2x+4|=|x-1|$~
    \question[2]  Résoudre ~$|6-4x|< 0$~
    \quad ;\quad   ~$|4-2x|\ge 3$~
    \question[3]  Soient ~$-2\le x \le 3$~ et ~$5 \le y \le 7$~\\
      Encadrer ~$x-y$~ \quad ;\quad ~$2x-3y$~ et ~$x^2$~
    \question  Dans un repère orthonormé $(O; \vec i, \vec j)$\\
      Soient les points ~$A(-2,-3)$~, ~$B(3,-3)$~ , ~$C(3,2)$~
    \begin{parts}
      \part[2] Déterminer la nature du triangle ~$ABC$~
      \part[1] Déterminer l'ordonnée ~$y$~ du point $D(5,y)$ \\telles que les vecteurs $\overrightarrow{AC}$ et $\overrightarrow{BD}$ soient colinéaires.
      \part[1]  Donner une représentation paramétrique de la droite ~$(AB)$~
    \end{parts}
\end{questions}
}

\columnbreak
% Header for second column in landscape mode
\noindent\begin{tabularx}{\linewidth}{@{}YYY@{}}
  \schoolname & \examtitle & \academicyear \\
  Prof: \professor & \classname & Dur\'ee: \duration \\
  \hline
\end{tabularx}\\[0.3cm]


\vspace*{-0.5cm}
% Repeated Exercise 1 (originally 1)
\printexo{1}{~$: 20~ points$~}{
% Exercise 1
\vspace*{-0.3cm}
\begin{questions}
    \question[1] Simplifier ~$B=2\sqrt{27}-3\sqrt3+\sqrt{75}$~
    \question[1] Rendre le dénominateur rationel  ~$C=\frac{1}{\sqrt3-\sqrt2}$~\\
    \question[2] Calculer et simplifier $ D = \left(\frac{(b \times b^4)^2 \times a^{-3}}{(a \times b^2)^3 \times (b^{-4})^{-1}}\right)^{-2}$\\
    \question[1]  Développer ~$E=\left( 2\sqrt{3} + 3\sqrt{2} \right)^3$~
    \question[1]  Développer ~$F=x(x-2)(x-3)$~
    \question[2]  Factoriser ~$G=x^3+1-3(x^2-1)+3x+3$~
    \question[3]  Résoudre ~$|1-3x|=7$~
    \quad ;\quad   ~$|x+5|=-5$~
    \quad ;\quad  ~$|2x+4|=|x-1|$~
    \question[2]  Résoudre ~$|6-4x|< 0$~
    \quad ;\quad   ~$|4-2x|\ge 3$~
    \question[3]  Soient ~$-2\le x \le 3$~ et ~$5 \le y \le 7$~\\
      Encadrer ~$x-y$~ \quad ;\quad ~$2x-3y$~ et ~$x^2$~
    \question  Dans un repère orthonormé $(O; \vec i, \vec j)$\\
      Soient les points ~$A(-2,-3)$~, ~$B(3,-3)$~ , ~$C(3,2)$~
    \begin{parts}
      \part[2] Déterminer la nature du triangle ~$ABC$~
      \part[1] Déterminer l'ordonnée ~$y$~ du point $D(5,y)$ \\telles que les vecteurs $\overrightarrow{AC}$ et $\overrightarrow{BD}$ soient colinéaires.
      \part[1]  Donner une représentation paramétrique de la droite ~$(AB)$~
    \end{parts}
\end{questions}
}

\end{multicols}
% Bottom message
\begin{multicols}{2}
\begin{center}
  \normalsize{%
    \vskip 3pt \hrule height 3pt \vskip 5pt
    \RL{\arabicfont
    ﴿ٱلَّذِينَ تَتَوَفَّىٰهُمُ ٱلْمَلَـٰٓئِكَةُ طَيِّبِينَ ۙ يَقُولُونَ سَلَـٰمٌ عَلَيْكُمُ ٱدْخُلُوا۟ ٱلْجَنَّةَ بِمَا كُنتُمْ تَعْمَلُونَ﴾ (النحل 32)
    }%
  }%
\end{center}
\columnbreak
\begin{center}
  \normalsize{%
    \vskip 3pt \hrule height 3pt \vskip 5pt
    \RL{\arabicfont
    ﴿ٱلَّذِينَ تَتَوَفَّىٰهُمُ ٱلْمَلَـٰٓئِكَةُ طَيِّبِينَ ۙ يَقُولُونَ سَلَـٰمٌ عَلَيْكُمُ ٱدْخُلُوا۟ ٱلْجَنَّةَ بِمَا كُنتُمْ تَعْمَلُونَ﴾ (النحل 32)
    }%
  }%
\end{center}
\end{multicols}

\end{document}