How can I put the left table outside of the margin just like in the photo?

Question

I tried with this. It's similar, but it's not outside of the margin.

\begin{minipage}[c]{0.5\textwidth}
\begin{tabular}{c}
 Departamento de Ciencias Básicas \\
     Facultad de Ingeniería\\
      I \, U \,  A\\
\end{tabular}
\end{minipage}
\qquad \qquad 
\begin{minipage}[c]{0.5\textwidth}
\centering
\begin{tabular}{c}
  Ingeniería Mecánica Aeronáutica\\
  Ingeniería Electrónica \\
\end{tabular}
\end{minipage}
\vspace{6mm}
\\
\begin{minipage}[c]{0.5\textwidth}
\begin{tabular}{l}
 \large{E}\small{XAMEN DE} \large{A}\small{NÁLISIS} \large{M}\small{ATEMÁTICO} \large{III} \\
     \large{30/6/2022}\\
\end{tabular}
\end{minipage}
\qquad \qquad \quad \qquad
\begin{minipage}[c]{0.5\textwidth}
\centering
\begin{tabular}{|m{0.5cm}|m{0.5cm}|m{0.5cm}|m{0.5cm}|m{0.5cm}|}
         \hline 
         \,\,1& \,\,2 &\,\,3 &\,\,4 & \,\% \\
         \hline
         & & & & \\
         & & & & \\
         \hline
    \end{tabular}
\end{minipage}
\\\\\\
\large \textbf{Apellido y Nombre:}
\vspace{2pt}
\hrule

Answer 1

Here is a solution using changepage package and adjustwidth command.

\documentclass{article}
\usepackage{float,array}
\usepackage[strict]{changepage}
\begin{document}
    \begin{adjustwidth}{-2cm}{-2cm}
\begin{minipage}[c]{0.5\textwidth}
    \begin{tabular}{c}
        Departamento de Ciencias Básicas \\
        Facultad de Ingeniería\\
        I \, U \,  A\\
    \end{tabular}
\end{minipage}
\hfill
\begin{minipage}[c]{0.5\textwidth}
    \centering
    \begin{tabular}{c}
        Ingeniería Mecánica Aeronáutica\\
        Ingeniería Electrónica \\
    \end{tabular}
\end{minipage}
\end{adjustwidth}
\vspace{6mm}
\mbox{}\\
\begin{minipage}[c]{0.5\textwidth}
    \begin{tabular}{l}
        \large{E}\small{XAMEN DE} \large{A}\small{NÁLISIS} \large{M}\small{ATEMÁTICO} \large{III} \\
        \large{30/6/2022}\\
    \end{tabular}
\end{minipage}
\qquad \qquad \quad \qquad
\begin{minipage}[c]{0.5\textwidth}
    \centering
    \begin{tabular}{|m{0.5cm}|m{0.5cm}|m{0.5cm}|m{0.5cm}|m{0.5cm}|}
        \hline 
        \,\,1& \,\,2 &\,\,3 &\,\,4 & \,\% \\
        \hline
        & & & & \\
        & & & & \\
        \hline
    \end{tabular}
\end{minipage}
\\\\\\
\large \textbf{Apellido y Nombre:}
\vspace{2pt}
\hrule
\end{document}

Does this work for you?

Answer 2

Modifying Venkatamaran's answer slightly, here's an other way to do it:

• (1) used option [t] for minipage to align the first two text block "top"
• (2) centering is somewhat duplicate, so I commented out what doesn't hurt
• (3) suggested using \hspace{} to move the numerical table to the right
• (4) suggested adding \usepackage[spanish]{babel} to take care of hyphenation etc. later

\documentclass{article}
\usepackage{float,array}
\usepackage[strict]{changepage}
\usepackage[spanish]{babel}% <<< (4) suggestion; will take care of hyphenation etc.

\begin{document}
    \begin{adjustwidth}{-2cm}{-2cm}
\begin{minipage}[t]{0.5\textwidth}% <<< (1) aligning tops
    \centering
%    \begin{tabular}{c}% <<< (2) duplicated centering
        Departamento de Ciencias Básicas \\
        Facultad de Ingeniería\\
        I \, U \,  A\\
%    \end{tabular}
\end{minipage}
\hfill
\begin{minipage}[t]{0.5\textwidth}% <<< (1) aligning tops
    \centering
%    \begin{tabular}{c}% <<< (2) duplicated centering
        Ingeniería Mecánica Aeronáutica\\
        Ingeniería Electrónica \\
%    \end{tabular}
\end{minipage}
\end{adjustwidth}
\vspace{6mm}
\mbox{}\\
\begin{minipage}[c]{0.5\textwidth}
    \begin{tabular}{l}
        \large{E}\small{XAMEN DE} \large{A}\small{NÁLISIS} \large{M}\small{ATEMÁTICO} \large{III} \\
        \large{30/6/2022}\\
    \end{tabular}
\end{minipage}
%\qquad \qquad \quad \qquad
\hspace{3.5cm}% <<< (3) alternative way to move the numerical table
\begin{minipage}[c]{0.5\textwidth}
    \centering
    \begin{tabular}{|m{0.5cm}|m{0.5cm}|m{0.5cm}|m{0.5cm}|m{0.5cm}|}
        \hline 
        \,\,1& \,\,2 &\,\,3 &\,\,4 & \,\% \\
        \hline
        & & & & \\
        & & & & \\
        \hline
    \end{tabular}
\end{minipage}
\\\\\\
\large \textbf{Apellido y Nombre:}
\vspace{2pt}
\hrule
\end{document}