% This file is public domain
\documentclass[a4paper]{article}

\usepackage{probsoln}
 % uncomment the following line to display the answers
 % \showanswers

 % The following will generate a different set of
 % problems each year
 %\PSNrandseed{\year}

 % Load 1 problem randomly selected from the given file
 % and store in database 'firstprinciples':
\loadrandomproblems[firstprinciples]{1}{prob-1stprncp}

 % Load 5 problems randomly selected from the given file
 % and store in database 'easy':
\loadrandomproblems[easy]{5}{prob-easy}

 % Load 2 problems randomly selected from the given file
 % and store in database 'implicit':
\loadrandomproblems[implicit]{2}{prob-implicit}

 % Load 2 problems randomly selected from the given file
 % and store in database 'probspaces':
\loadrandomproblems[probspaces]{2}{prob-probspaces}

 % Load 1 problem randomly selected from the given file
 % and store in database 'mchoice':
\loadrandomproblems[mchoice]{1}{prob-mchoice}

 % Load 1 problem randomly selected from the given file
 % and store in database 'nosoln':
\loadrandomproblems[nosoln]{1}{prob-nosoln}


\begin{document}
\title{Sample Problem Sheet}
\author{Nicola Talbot}
\maketitle

\begin{enumerate}
 % Differentiation from first principles
 \foreachproblem[firstprinciples]{\item \thisproblem}

\item Differentiate the following functions:
\begin{enumerate}
  \foreachproblem[easy]{\item \thisproblem}
\end{enumerate}

 % Implicit differentiation
\foreachproblem[implicit]{\item \thisproblem}

 % Finite probability spaces
\foreachproblem[probspaces]{\item \thisproblem}

 % Multiple choice question
\foreachproblem[mchoice]{\item \thisproblem}

 % select one essay style question that doesn't come with a solution

\foreachproblem[nosoln]{\item \thisproblem}
\end{enumerate}
\end{document}