2016-2017/3e/Nombres_et_calculs/Fractions/tpl_entrainement_fraction.tex

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\documentclass[a5paper,10pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
%\geometry{left=10mm,right=10mm, top=10mm, bottom=10mm}
% Title Page
\titre{Technique: calcul et évaluation}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Septembre 2016}
%\duree{1 heure}
\sujet{\Var{infos.num}}
% DS DSCorr DM DMCorr Corr
%\printanswers
\pagestyle{empty}
\newcommand{\lesexos}{%
\begin{Exo}
Completer les pointillés.
\begin{multicols}{3}
\begin{enumerate}
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
\item $ \dfrac{\ldots}{\Var{c}} = \dfrac{\Var{a}}{\Var{b}} $
\columnbreak
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"], val_min = 2, val_max = 10).split(',')}
\item $\dfrac{\Var{b}}{\Var{a}} = \dfrac{\Var{c}}{\ldots}$
\Block{set a,b,ans,c = random_str("{a*k},{b*k},{a*q},{b*q}", conditions = ["{a} != {b}", "{k} != {q}"], val_min = 2, val_max = 10).split(',')}
\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
\columnbreak
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"]).split(',')}
\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
\Block{set a,b,ans,c = random_str("{a},{b},{a*c},{b*c}", conditions = ["{a} != {b}"]).split(',')}
\item $\dfrac{\Var{b}}{\Var{a}} = \dfrac{\Var{c}}{\ldots}$
\Block{set a,b,ans,c = random_str("{a*k},{b*k},{a*q},{b*q}", conditions = ["{a} != {b}", "{k} != {q}"]).split(',')}
\item $\dfrac{\Var{a}}{\Var{b}} = \dfrac{\ldots}{\Var{c}}$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Faire les calculs suivants.
\begin{multicols}{3}
\begin{enumerate}
\Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} + {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
\item $\Var{e}$
\columnbreak
\Block{set e = Expression.random("{a} / {b} + {c} / {b}", ["{b} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} + {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} - {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
\item $\Var{e}$
\columnbreak
\Block{set e = Expression.random("{a} / {b} - {c} / {k*b}", ["{b} > 1", "{k} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} + {k}", ["{b} > 1", "{k} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} + {c} / {d}", ["{b} > 1", "{d} > 1", "gcd({b},{d})==1"], val_min = 1)}
\item $\Var{e}$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Calcule les quantités suivantes
\begin{multicols}{3}
\begin{enumerate}
\item $\dfrac{3}{4}$ de $8m$
\item $\dfrac{1}{3}$ de 12\euro
\item $\dfrac{10}{2}$ de 1\euro
\item $25\%$ de 28 élèves
\columnbreak
\item $\dfrac{3}{5}$ de $10kg$
\item $30\%$ de 10 mabawas
\item $75\%$ de 1L
\item un quart de 20 bananes
\columnbreak
\item $120\%$ de 4kg
\item un tiers de 20 élèves
\item la moitié du tiers de 12\euro
\item 10\% des trois quarts de 100L
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Faire les calculs suivants.
\begin{multicols}{3}
\begin{enumerate}
\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"], val_min = 1)}
\item $\Var{e}$
\columnbreak
\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"], val_min = 1)}
\item $\Var{e}$
\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"])}
\item $\Var{e}$
\columnbreak
\Block{set e = Expression.random("{c} * {a} / {b}", ["{b} > 1"])}
\item $\Var{e}$
\Block{set e = Expression.random("{a} / {b} * {c} / {d}", ["{b} > 1","{d} > 1"])}
\item $\Var{e}$
\end{enumerate}
\end{multicols}
\end{Exo}
}
\begin{document}
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\end{document}
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