\documentclass{article}

\usepackage{amsmath}

\usepackage[nodirectory,navibar,designii,pdftex]{web}

\usepackage{color}
\usepackage[pdftex]{eforms}
\usepackage[pdftex]{exerquiz}

\usepackage{multicol}
\usepackage{eso-pic}
\definecolor{mycolor}{rgb}{0.4,0.4,1}
\AddToShipoutPicture{\hbox to \paperwidth{\hss\color{mycolor}\vrule width 1.5em height\paperheight}}%

\navibarTextColor{black}
\navibarBgColor{mycolor}

\makeatletter
\@newNaviIconMenu{\web@FirstPage}{34pt}{8pt}
    {$\scriptstyle\blacktriangleleft\blacktriangleleft$}{FirstPage}
\@newNaviIconMenu{\web@LastPage}{34pt}{8pt}
    {$\scriptstyle\blacktriangleright\blacktriangleright$}{LastPage}
\@newNaviIconMenu{\web@PrevPage}{34pt}{8pt}
    {$\scriptstyle\blacktriangleleft$}{PrevPage}
\@newNaviIconMenu{\web@NextPage}{34pt}{8pt}
    {$\scriptstyle\blacktriangleright$}{NextPage}

\renewcommand\web@navigationbar{%
\hfill\bfseries\footnotesize
\web@FirstPage\
\web@LastPage\
\web@PrevPage\
\web@NextPage\
}

\def\answers@@q[#1]#2%
{%
    \gdef\numCols{#2}%
    \edef\eqtmp{\aPointType}\xdef\aPointType{\eqtmp,[\eqPTs,"mc"]}%
        \ifx\q@hwdest\@empty
            \xdef\@qzsolndest{#1}%
        \else
            \gdef\@qzsolndest{\q@hwdest}%
        \fi
        \answers@q@tabular{#2}%
}

\makeatother

\let\rmdefault\sfdefault

\hypersetup{pdfmenubar=true, pdftoolbar=true}

\useBeginQuizButton
\useEndQuizButton
\def\AnswerFieldDefaults
{%
   \BC{}\S{N}\Ff{\FfReadOnly}
 }

\everymath{\displaystyle}



\def\problem#1\par{\bigskip\begin{minipage}{\linewidth}\item #1\end{minipage}}
\everymath{\displaystyle}

\begin{document}

\author{Robert Ma\v r\'\i k}
\title{Demo 1 -- Limits}
\def\optionalpagematter{
  \begin{itemize}
  \item Find the limit of basic elementary function.
  \item Click "Begin quizz", mark correct answers and click "End quizz". The number of correct answers appears in the field.
  \item Click "Correct" and you will see the correct answers.
  \item Test starts on the next page.
  \end{itemize}
}
\maketitle

\quiztype{f}

\begin{quiz}{derivace}
\begin{multicols}3
\begin{questions}