\documentclass[11pt]{article}

% Packages
\usepackage{graphicx, enumerate, amssymb, amsmath}

% Margins
\textwidth = 6.5 in
\textheight = 8.5 in
\oddsidemargin = 0.0 in
\evensidemargin = 0.0 in
\topmargin = -0.2 in
\headheight = 0.0 in
\headsep = 0.0 in
\parindent = 0.0in

% Definitions
\def\IR{\mathbb{R}}
\def\IC{\mathbb{C}}

\begin{document}

% No Page numbers
\pagestyle{empty} 

% Header
\hrule
\vskip 3mm
{\LARGE\bf
 \ Name :  \hfill Grade : \hskip 10mm
}
\vskip 4mm
\hrule

\vskip 6mm

%Begin of the Quiz body

\begin{enumerate}[I)]

  \item Calculate the following:
        \begin{enumerate}[a)]
          \item $\displaystyle\lim\limits_{x \to 1^+} \frac{1}{1-x^2}$
                \vfill
          \item $\displaystyle\int_0^{+\infty} e^{-x^2} dx$
                \vfill
          \item $\displaystyle\frac{\partial f}{\partial x}$ where $f(x,y,z) = x^2 + \sin(y)~ e^{-z}$.
        \end{enumerate}

\vfill
\eject

  \item Matrix Algebra
        \begin{enumerate}[(i)]
          \item $\begin{bmatrix}
                  0 & 1 \\
                  2 & 3
                \end{bmatrix}^{-1} = $
                \vskip 10mm
          \item $\begin{vmatrix}
                  2 & -3 \\
                  4 & \phantom{-}1 
                 \end{vmatrix} ~= $
                 \vskip 10mm  
          \item $\begin{bmatrix}
                  0 & 1 \\
                  2 & 3
                \end{bmatrix}
                \cdot
                \begin{bmatrix}
                  0 & 1 \\
                  2 & 3
                \end{bmatrix} ~=$
                \vskip 10mm 
          \item $\begin{vmatrix}
                  ~\cos(\vartheta) & -\sin(\theta)~ \\
                  ~\sin(\theta) & \phantom{-}\cos(\theta)~ 
                 \end{vmatrix} ~= $
                 \vskip 10mm                   
        \end{enumerate}
        
   \item For which $x \in \IR$ does the following series converge? For what $x \in \IC$?
         \begin{equation*}
           \sum_{k=0}^\infty (x-1)^k
         \end{equation*} 
         \vfill
   
   \item This was everything but ...
         \begin{center}
           \scalebox{0.5}{\includegraphics{kitchen_sink.pdf}}
         \end{center}    
        
\end{enumerate}



\end{document}