\documentclass[a4paper,12pt]{article}

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{siunitx}

\usepackage[francais,bloc,insidebox]{automultiplechoice}
\geometry{hmargin=2cm, headsep=0cm, top=1cm, bottom=1cm, marginparsep=0pt, marginparwidth=0pt, includeall, showframe}

\usepackage{siunitx,multicol}
\sisetup{locale = FR, round-minimum=3}

\usepackage{tabularx,tabularray,array}

%pour effacer le numéro
\def\EffacementNumeroQuestion{\def\AMCbeginQuestion##1##2{}\AMCquestionNumberfalse}
\begin{document}

\exemplaire{1}{

%%% debut de l'en-tête des copies :

\noindent{\bf QCM  \hfill TEST}

\vspace*{.5cm}
\begin{minipage}{.4\linewidth}
\centering\large\bf Test\\ Examen du 01/01/2008\end{minipage}
\champnom{\fbox{
                \begin{minipage}{.5\linewidth}
                  Nom et prénom :

                  \vspace*{.5cm}\namefielddots
                  \vspace*{1mm}
                \end{minipage}
         }}






$F = G \times \frac{M_T\times M_L}{d^2}=
\qty[evaluate-expression,%
% exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e-11*5.98e24*7.35e22/(3.84e8)^2}{\newton}
$
/ \num[evaluate-expression, expression=100*##1/1e20,round-mode=places,%
 round-precision=0]{6.67e-11*5.98e24*7.35e22/(3.84e8)^2}


$F = G \times \frac{M_T\times M_L}{d}=
\qty[evaluate-expression,%
 %exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e-11*5.98e24*7.35e22/(3.84e8)}{\newton}
$ / \num[evaluate-expression,expression=100*##1/1e20, round-mode=places,%
 round-precision=0]{6.67e-11*5.98e24*7.35e22/3.84e8}

\num[evaluate-expression,expression=##1, round-mode=places,%
 round-precision=0]{763e6-1.99}


$F = G \times \frac{M_T}{d}=
\qty[evaluate-expression,%
% exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e-11*5.98e24/(3.84e8)}{\newton}
$

$F = G \times \frac{M_L}{d}=
\qty[evaluate-expression,%
 %exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e-11*7.35e22/(3.84e8)}{\newton}
$

$F = G \times M_T\times M_L \times d =
\qty[evaluate-expression,%
 %exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e-11*5.98e24*7.35e22*3.84e8}{\newton}
$

$F = G \times M_T\times M_L \times d^2 =
\qty[evaluate-expression,%
% exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e-11*5.98e24*7.35e22*(3.84e8)^2}{\newton}
$

$F = \num{6.67e11} \times \frac{M_T\times M_L}{d^2} =
\qty[evaluate-expression,%
 exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e11*5.98e24*7.35e22/(3.84e8)^2}{\newton}
$

$F = \num{6.67e11} \times \frac{M_T\times M_L}{d^2} =
\qty[evaluate-expression,%
 exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{6.67e11*5.98e24*7.35e22/(3.84e8)}{\newton}
$


$F = \frac{M_T \times M_L \times d^2}{G} =
\qty[evaluate-expression,%
% exponent-thresholds=20:28,%
 exponent-mode=scientific,%
round-mode=places,%
 round-precision=2,%
]{5.98e24*7.35e22*(3.84e8)^2/6.67e-11}{\newton}
$

On étudie la force de gravitation qui s'exerce entre la Terre et la Lune.

Données : $G = \qty{6.67e-11}{\newton\meter\squared\kilogram}$ | $d=\qty{3,84e8}{\meter}$ | $M_T = \qty{5,98e24}{\kilogram}$ | $M_L = \qty{7,35e22}{\kilogram} $



\parbox[b]{3cm}{%
\begin{question}{Force-a}
\begin{reponses}[o]
\mauvaise{\num{1.04}}
\mauvaise{\num{1.13}}
\mauvaise{\num{1.28}}
\bonne{\num{1.99}}\bareme{2}
\mauvaise{\num{4.32}}
\mauvaise{\num{7.63}}\bareme{1}
\mauvaise{\num{9.72}}
\end{reponses}
\end{question}
}
%
\EffacementNumeroQuestion
%
\parbox[b]{2.5cm}{%
\begin{question}{Force-b}
\begin{reponses}[o]
\mauvaise{$\times$\num{e4}}
\mauvaise{$\times$\num{e6}}
\bonne{$\times$\num{e20}}\bareme{2}
\mauvaise{$\times$\num{e28}}\bareme{1}
\mauvaise{$\times$\num{e42}}
\mauvaise{$\times$\num{e46}}
\mauvaise{$\times$\num{e50}}
\mauvaise{$\times$\num{e74}}
\end{reponses}
\end{question}
}

\begin{questionmultx}{q09-}
Calculer en Newtons la valeur de la force gravitationnelle exercée par la Terre sur la Lune.

\AMCnumericChoices{1.99e20}{digits=3, decimals=2, exponent=2, sign=false, exact=10, borderwidth=0pt, backgroundcol=lightgray, approx=100, scoreexact=4, scoreapprox=2}
\end{questionmultx}

\noindent
\begin{tabularx}{\linewidth}{@{}X@{}@{}c@{}@{}X@{}}

\begin{questionmultx}{A}
\AMCnumericChoices{1.99}{%
digits=3,%
decimals=2,%
sign=false,%
exact=10,%
approx=564,%
scoreexact=2,%
scoreapprox=1,%
exposign=false,%
borderwidth=.2mm,%
hspace=0.8ex,%
vspace=0.5ex,%
}
\end{questionmultx}
&
\huge$\times$10\textrm{\^}
&
\EffacementNumeroQuestion

\begin{questionmultx}{B}
\AMCnumericChoices{20}{%
digits=2,%
decimals=0,%
sign=false,%
exact=0,%
approx=8,%
scoreexact=2,%
scoreapprox=1,%
exposign=false,%
borderwidth=.2mm,%
hspace=0.8ex,%
vspace=0.5ex,%
}
\end{questionmultx}

\end{tabularx}

}


\end{document}
