\documentclass[11pt,letterpaper]{article}
\usepackage[lmargin=1in,rmargin=1in,tmargin=1in,bmargin=1in]{geometry}
\usepackage{quiz}
% -------------------
% Content
% -------------------
\begin{document}
\quiz{1}
% Question
\prob This is an unnumbered problem. \pspace
% Question 1
\problem This is a numbered problem. \vspace{1.5cm}
% Question 2
\problem This is the second numbered problem. \vfill
% Question 3
\problem This problem has several parts:
\begin{enumerate}[(a)]
\item The first part.
\item The second part.
\item The third part.
\end{enumerate} \vspace{6cm}
\newpage
% Question 4
\problem Compute the following integral
\[
\int e^{-x^2} \;dx
\] \vspace{3cm}
% Question 5
\problem Explain why everyone loves Mathematics. \pspace
% Question 6
\problem Compute the integral $\ds \int \sin x^2 \;dx$. \vspace{2cm}
% Question 7
\problem In the space provided, prove the Riemann Hypothesis.
\end{document}