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% Title Page
\titre{Technique: calcul et évaluation}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Septembre 2016}
%\duree{1 heure}
\sujet{\Var{infos.num}}
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\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}
}

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