To use the automultiplechoice package, one uses the line

\usepackage[...]{automultiplechoice}

where the dots are replaced by a list of options separated by commas. Here are the available options:

The LaTeX source code describing the content of the test sheet has to be included in a call to the command \onecopy, the first argument being the number of distinct realizations to be produced, and the second argument being the code used to generate a realization.

\onecopy{50}{ ... }

An alternative syntax is available, using the examcopy environment, where the number of realizations is an option (default is 5).

\begin{examcopy}[50]
...
\end{examcopy}

	Note
	To use examcopy, you need the environ package to be installed, which is not available in the TeX Live 2007 distribution, still used in Ubuntu distributions up to version 9.10 (Karmic Koala).

To differentiate between odd and even-numbered copy, use \exemplairepair command.

The command \AMCStudentNumber get the copy number.

You may add an additional option of marking area (see Marks' position) with the package tikz.

\usepackage{tikz}

\AMCsetScoreZone{width=1.5em,height=1.5ex,depth=.5ex,position=margins}

With the separateanswersheet option

Type this command after \begin{document} and before the command \onecopy :

\AMCsetScoreZoneAnswerSheet{width=1.5em,height=1.5ex,depth=.5ex,position=question}

The variables width, height, depth describe the dimensions of the box marking and its location on the sheet.

The position value may be equal to : none, question, margin, margins.

	Warning
	The option margins does not work with AMC-TXT. Don't type one of those commands after printing.

Putting questions into groups allows one to shuffle questions inside these groups, in a different way for each realization of the test. Every group of questions must have a name formed solely with plain letters.

One can put questions in a group one by one, as in the following example.

\element{mygroup}{
  \begin{question}{easy}
    So, how much is one plus one?
    \begin{choiceshoriz}
      \correctchoice{two}
      \wrongchoice{zero}
      \wrongchoice{three}
    \end{choiceshoriz}
  \end{question}
}

	Important
	The formation of the group, using the element commands, must be made only once: thus, these commands have to be used before the onecopy command, which repeats some actions for every realization.

Finally, the group content can be output to the test sheet using command \insertgroup, as in

\insertgroup{mygroup}

Group insertion can be controlled by the group mode, that can be set by the \setgroupmode command (called after group creation, once for all, before \onecopy):

\setgroupmode{mygroup}{XXX}

where XXX can be one of the following: tutorial shuffle

Note that a default group mode can be set for all groups that will be created next (a group is created at the first \element call), using the command

\setdefaultgroupmode{XXX}

Without any mode definition, the fixed mode is used.

Groups of questions can be manipulated more precisely thanks to the following commands:

With these commands, you can for example make a exam taking 4 questions from group GA at random, 5 questions from group GB at random, and all the questions from group GO, shuffling all these questions, with the following code (to be used inside the argument of the command \onecopy, and supposing that the group mode of groups GA, GB and all is withoutreplacement or withreplacement):

\cleargroup{all}
\copygroup[4]{GA}{all}
\copygroup[5]{GB}{all}
\copygroup{GO}{all}
\insertgroup{all}

	Note
	A null value is allowed, if negative all the elements are copied.

The automultiplechoice LaTeX package uses geometry to set the margins and page layout. You can overwrite its settings using the \geometry command just before the \begin{document} - see the geometry package documentation for details. The values initially set by AMC are:

\geometry{hmargin=3cm,headheight=2cm,headsep=.3cm,footskip=1cm,top=3.5cm,bottom=2.5cm}

When reducing the margins to gain some space, keep in mind that:

It is also possible to set the paper size as an option to add to the list given as argument to the \geometry command. Available values include a4paper, a5paper, a6paper, b4paper, b5paper, ansibpaper, ansicpaper, ansidpaper, letterpaper, executivepaper, legalpaper.

For small paper sizes, it may also be interesting to change the position of the human readable sheet IDs (like +1/1/53+) in the header. This can be done using the \AMCidsPosition command, in the form

\AMCidsPosition{pos=p,width=w,height=h}

where p can be none, top or side, and the dimensions w and h refers to the (invisible) box containing the ID. The default values are

\AMCidsPosition{pos=side,width=4cm,height=3ex}

Let us end with an example for A5 paper sheets:

\geometry{a5paper,hmargin=1.6cm,top=2.5cm}
\AMCidsPosition{pos=top}

	Warning
	Do not load package pgfpages or any other layout applications

The \AMCboxStyle (new name for the \AMCboxDimensions command which still compatible with the options) allows one to modify one or several dimensions of the check-boxes.

Default values are :

\AMCboxStyle{shape=square,size=2.5ex,down=.4ex,rule=.5pt,outsidesep=.1em,color=black}

To obtain smaller boxes, one can e.g. use the command

\AMCboxStyle{size=1.7ex,down=.2ex}

When using separateanswersheet package option, you can also customize the boxes labeling. The default behavior is to use uppercase alphabetical labeling, or arabic numbering if the digits package option is used. To use your own labeling, one has to redefine the \AMCchoiceLabel command which takes as argument the name of the counter used to number the choices. For example, the following code will ask for lowercase letters to label the boxes:

\def\AMCchoiceLabel#1{\alph{#1}}

As an other example, when using arabxetex package, the following code may be useful:

\def\AMCchoiceLabel#1{\textLR{\Alph{#1}}}

One can also change the style of the boxes labels redefining the \AMCchoiceLabelFormat command, as in the following example (here we need bold labels):

\def\AMCchoiceLabelFormat#1{\textbf{#1}}

One can also change the style of the outside labels redefining the \AMCoutsideLabelFormat command, as in the following example (here we need bold labels):

\def\AMCoutsideLabelFormat#1{\textbf{#1}}

Note

The switch used to tick or not correct answers is \AMC@correctrue. You can define a command to set it to true, just after the \begin{document}. \makeatletter \def\AMCforcecorrect{\AMC@correctrue} \makeatother and then use it for a particular question (enclose in braces to limit its effect to one question): {\AMCforcecorrect\begin{questionmult}{test}\QuestionIndicative ..... \end{questionmult} } You should tell AMC not to count points for this question (with a 0-point scoring, or using \QuestionIndicative).

The way each question is presented can be modified by redefining the command \AMCbeginQuestion, whose default definition is the following:

\def\AMCbeginQuestion#1#2{\par\noindent{\bf Question #1} #2\hspace*{1em}}

The first parameter transmitted to this command is the number of the question to be displayed. The second parameter contains \multiSymbole in the case of a multiple question, and is void in all other cases. The \multiSymbole command too can be modified: its goal is to distinguish multiple questions from the others. By default, it displays a club.

\def\multiSymbole{$\clubsuit$}

Choices custom

The display of answers can be modified in the same fashion, if one uses the choicescustom environment instead of choices or choiceshoriz, redefining the three following LaTeX macros:

\def\AMCbeginAnswer{}
\def\AMCendAnswer{}
\def\AMCanswer#1#2{#1 #2}

Example 1

The check boxes can be used to penalize students who delay their copy, for example (8 points less for a small delay and 20 points less for an exaggerated delay). It will be enough to include at the desired place (for example in the header, something like this):

\fcolorbox{black}{gray}{\insertDelay}

the command \insertDelay is defined outside from \onecopy :

\def\insertDelay{ %
{\def\AMCbeginQuestion##1##2{}\AMCnobloc%
 \begin{questionmult}{00delay}
 \AMCnoCompleteMulti\AMCdontAnnotate%
 \def\AMCbeginAnswer{}\def\AMCendAnswer{}%
Holded~\begin{choicescustom}[o]\wrongchoice{R1~}\scoring{b=0,m=-8}\wrongchoice{R2}\scoringb=0,m=-20}\end{choicescustom}%
 \end{questionmult}}%
}

• the command \def\AMCbeginQuestion##1##2{} (combined with the use of the reponsesperso environment) allows AMC to write not "Question XX".

• \def\AMCbeginAnswer{}\def\AMCendAnswer{} also refine the result.

• \AMCnoCompleteMulti allows to tell AMC not to add the answer "none of these answers is correct" despite the use of questionmult.

• \AMCdontAnnotate ask AMC not to annotate these boxes there.

	Important
	Inside the commande \onecopy, double the #. \def\AMCanswer##1##2{##1 ##2} \def\AMCbeginQuestion##1##2{}

Use in mathematics

\begin{questionmult}{formula}\scoring{mz=2}\AMCnoCompleteMulti
How is the identity function defined?
  \begin{choicescustom}[o]
    \[f(x)=\correctchoice[$y$]{}\wrongchoice{[$x$]{}\correctchoice[$+$]{}\correctchoice[$x^2$]{}\]
  \end{choicescustom}
\end{questionmult}

\AMCinterIrep=0pt
\AMCinterBrep=.5ex
\AMCinterIquest=0pt
\AMCinterBquest=3ex
\AMCpostNquest=1.5ex
\AMCpostOquest=7mm
\setlength{\AMChorizAnswerSep}{3em plus 4em}
\setlength{\AMChorizBoxSep}{1em}

It is also possible to modify the layout of the separate answer sheet produced with the separateanswersheet option (see  An example with a separate answer sheet).

Code acquisition can be easily performed thanks to the LaTeX command

\AMCcodeGridInt[options]{key}{n}

for instance to allow each student to enter her/his student number by herself/himself on the answer sheet. The two arguments of this command are a code/question key (identifier), and the number n of digits to be used by the code. One can e.g. use the following header

{\setlength{\parindent}{0pt}\hspace*{\fill}\AMCcodeGridInt{etu}{8}\hspace*{\fill}
\begin{minipage}[b]{6.5cm}
$\longleftarrow{}$\hspace{0pt plus 1cm} please encode your student number below,
and write your first and last names below.

\vspace{3ex}

\hfill\namefield{\fbox{
    \begin{minipage}{.9\linewidth}
      Firstname and lastname:

      \vspace*{.5cm}\dotfill

      \vspace*{.5cm}\dotfill
      \vspace*{1mm}
    \end{minipage}
  }}\hfill\vspace{5ex}\end{minipage}\hspace*{\fill}

}

If the separateanswersheet option is used, the \AMCcodeGridInt command has to be placed after the \AMCformBegin command.

Note that the codes rendering can be adapted modifying the lengths \AMCcodeHspace, \AMCcodeVspace representing the horizontal and vertical amount of space between boxes. Default values are set with the following commands:

\AMCcodeHspace=.5em
\AMCcodeVspace=.5em

The command \AMCcodeGrid[options]{key}{description} can be used to handle more complex codes, as codes including letters. Here, description is a coma-separated list of character pools to offer. As an example, a client code formed with a lettre from A to E followed by three digits can be handled with \AMCcodeGrid{client}{ABCDE,0123456789,0123456789,0123456789}.

The two commands \AMCcodeGrid and \AMCcodeGridInt accept the following options (coma-separated into the optional options argument):

\makeatletter

\def\IDbox{% 
	\begin{minipage}{10cm}
		\noindent\AMCzone[id]{identification\thepage}{) 
			\fbox{%
				\begin{minipage}{\linewidth}
					\noindent Darken the boxes corresponding to your student ID:\\[1.2ex]
					\AMCcodeGrid[h,multi]{id}{ABCDEFGHJKLM,0123456789}
				\end{minipage}%
			}%
		}%
	\end{minipage}
}
\fancypagestyle{AMCpageFull}{% 
	\fancyhf{}%
	\fancyhead[L]{\AMC@LR{\he@dbas{\leavevmode\m@rque{positionHG}}}}%
	\fancyhead[R]{\AMC@LR{\he@dbas{\leavevmode\m@rque{positionHD}}}}%
	\fancyfoot[L]{\AMC@LR{\leavevmode\m@rque{positionBG}}}%
	\fancyfoot[R]{\AMC@LR{\leavevmode\m@rque{positionBD}}}%
	\fancyhead[C]{
		\AMCIDBoxesABC\vspace{4mm}
		\ifAMC@zoneformulaire\IDbox\fi
	}%
	\fancyhfoffset[EOLR]{5mm}%
	\fancyfoot[C]{\AMC@note}%
	\renewcommand{\headrulewidth}{0pt}%
	\renewcommand{\footrulewidth}{0pt}%
}
\makeatother

One can modify the seed of the random number generator used to produce the shuffle, thanks to the following command (to be used just at the beginning of the document, and in any case outside the onecopy command):

\AMCrandomseed{1527384}

If the value that is assigned (to be chosen between 1 and 4194303) is modified, then the shuffling will differ. Of course, one must not modify this value after the test sheets have been printed.

	Note
	The value is recorded in the xy file (as \rngstate{1}{1515}). The default value is 1515.

For sectioning to be also visible in the separate answer sheet (if any), use \AMCsection and \AMCsubsection instead of \section and \subsection (\AMCsection* and \AMCsubsection* are also defined, for unnumbered sectionning)

Using LaTeX commands \label, \ref and \pageref within questions or answers is problematic since they will be called with the same arguments for every realization of the test, which will alter the numbering of references. To solve this problem, one should use instead the commands \AMClabel, \AMCref and \AMCpageref: they add the realization number to their argument before transmitting it to \label, \ref and \pageref.

One also has to reset counters to zero at the beginning of each realization. For instance, if one wants to include references to pictures that are put together in a separate page, one might write something like

\element{animals}{
  \begin{figure}[p]
    \centering
    \includegraphics[width=.6\linewidth]{tiger}
    \caption{An animal}
    \AMClabel{tiger}
  \end{figure}

  \begin{question}{tiger}
    Which is the animal on figure~\AMCref{tiger} page~\AMCpageref{tiger}?
    \begin{choices}
      \correctchoice{A tiger}
      \wrongchoice{A giraffe}
      \wrongchoice{An elephant}
      \wrongchoice{A cat}
    \end{choices}
  \end{question}
}

and it is then important to add, just after the command \onecopy the line

\setcounter{figure}{0}

so that the numbering of figures starts at 1 for every realization. Without that last command, the numbering of figures would go on from one realization to the next one, which is clearly not desirable.

Using the package cleveref

This package sort in an ascending order the questions' numbers, the questions' pages or the labels' pages (the documentation http://mirrors.ctan.org/macros/latex/contrib/cleveref/cleveref.pdf).

	Warning
	This package must be loaded after the package automultiplechoice.

To use this package, a new command was created: \AMCstudentlabel.

\cref{\AMCstudentlabel{led},\AMCstudentlabel{lamp},\AMCstudentlabel{motor}}

led, lamp, motor are the created labels to reference the questions with the command \AMClabel{}.

Use \AMCtext for the following customizations:

AMC identifies each test and the page number of test with the binary code.

To raise the number of tests and/or pages per test modify the commands' default values \AMC@NCBetud, \AMC@NCBpage et \AMC@NCBcheck.

Load those commands below in the preambule (here with the default values).

\makeatletter
\def\AMC@NCBetud{12}
\def\AMC@NCBpage{6}
\def\AMC@NCBcheck{6}
\makeatother          

Thanks to the LaTeX package fp, whose documentation is available at http://mirrors.ctan.org/macros/latex/contrib/fp/README, and which can be downloaded with the command

\usepackage{fp}

added before that corresponding to automultiplechoice, one can create exercises with randomized numerical data. Let us start with a simple example.

\begin{question}{addition}
  \FPeval\VQa{trunc(1+random*8,0)}  
  \FPeval\VQb{trunc(4+random*5,0)}
  \FPeval\VQsomme{clip(VQa+VQb)}  
  \FPeval\VQnonA{clip(VQa+VQb-1)}  
  \FPeval\VQnonB{clip(VQa*VQb)}
  \FPeval\VQnonC{clip(VQa-VQb)}

  What is the sum of \VQa{} and \VQb{} ?
  \begin{choiceshoriz}
    \correctchoice{\VQsomme}
    \wrongchoice{\VQnonA}
    \wrongchoice{\VQnonB}
    \wrongchoice{\VQnonC}
  \end{choiceshoriz}
\end{question}

The \FPeval command is used to perform computations:

Variable names beginning with VQ have been chosen so as to avoid interference with other LaTeX commands.

	Note
	You can set the random seed with \FPseed=integer integer must be fixed, and not computed from date/time values.

\begin{question}{inf-expo-indep}
  \FPeval\VQa{trunc(2 + random * 4,0)}
  \FPeval\VQb{trunc(6 + random * 5,0)}
  \FPeval\VQr{VQa/(VQa+VQb)}

  Let $X$ and $Y$ be two independent random variables, following the exponential distribution with
respective parameters \VQa{} and \VQb{}.
  To which interval does the probability $\mathbb{P}[X<Y]$ belong ?

  \begin{multicols}{5}
    \begin{choices}[o]
      \AMCIntervals{\VQr}{0}{1}{0.1}  
    \end{choices}
  \end{multicols}
\end{question}

\def\AMCIntervalFormat#1#2{[#1,\,#2[}

Coding the result

The students can also be asked to code the numerical answer, using the \AMCnumericChoices command, as in the following example:

\begin{questionmultx}{sqrt}
  \FPeval\VQa{trunc(5+random*15,0)}
  \FPeval\VQs{VQa^0.5}
  Compute $\sqrt{\VQa}$ and round it with two digits after period.

  \AMCnumericChoices{\VQs}{digits=3,decimals=2,sign=true,
                 borderwidth=0pt,backgroundcol=lightgray,approx=5}
\end{questionmultx}

Note the use of questionmultx environment: we need this question to be multiple as several boxes has to be ticked, but we can’t say that several answers are correct, so we don’t show the symbol for multiple questions.

Options

Available options that can be used in the second argument of the \AMCnumericChoices command are the following (bool can be true or false, and color must be a color known by the xcolor package):

digits=num

gives the number of digits to request (defaults to 3).

decimals=num

gives the number of digits after period to request (defaults to 0). Note that when num is positive, the LaTeX package fp must be loaded.

base=num

gives the base for digits and decimals (defaults to 10).

significant=bool

if true, the numbers to code are the first significant digits from the first argument of \AMCnumericChoices. For example, the right answer to

\AMCnumericChoices{56945.23}{digits=2,significant=true}

is 57.

exponent=num

switch to scientific notation mode, with num digits for the exponent.

nozero=bool

if true, the choice 0 is removed for all digits.

May be useful when using \AMCnumericChoices to enter small (<10) positive values.

sign=bool

requests (or not) a signed value (defaults to true).

exposign=bool

same for the exponent sign.

strict=bool

if true, a box has to be ticked for every digit (even null digits) and for the sign. If false, if some digits has no ticked box, they will be set to zero. Defaults to false.

ignoreblank=bool

if true, can be used (only with number base 10) to ignore digits for which no box has been ticked.

vertical=bool

if true, each digit is represented on one raw. If false (default), each digit is represented on one line.

expovertical=bool

if true, the mantissa is above the exponent. If false (default), the mantissa is beside the exponent.

reverse=bool

if true, place higher values of the digits on the top in vertical mode (defaults to true).

vhead=bool

if true, in vertical mode, a header is placed over all digits rows, made using the command \AMCntextVHead that is originally defined as

\def\AMCntextVHead#1{\emph{b#1}}

This default value is useful to number the binary digits.

Default value is false.

hspace=space

sets the horizontal space between boxes (defaults to .5em).

vspace=space

sets the vertical space between boxes (defaults to 1ex).

borderwidth=space

sets the width of the frame border around all the boxes (defaults to 1mm).

bordercol=color

sets the color of the frame (defaults to lightgray).

backgroundcol=color

sets the background color (defaults to white).

Tsign=text

sets the text to print at the top of the boxes to set the sign (Can also be redefined by \def\AMCntextSign{text}, and defaults to be empty).

Tpoint=text

sets the text for the period. Can also be redefined by \def\AMCdecimalPoint{text}, and defaults to \raisebox{1ex}{\bf .}.

Texponent=text

sets the text that separates mantissa and exponent. Can also be redefined by \def\AMCexponent{text}, and defaults to $\times10$\textasciicircum.

scoring=bool

if true, a scoring strategy is given to AMC for this question. Defaults to true.

scoreexact=num

gives the score for an exact answer (defaults to 2).

exact=num

sets the maximal distance to the correct integer value (value without the decimal point) for an answer to be said exact and be rewarded to scoreexact points (defaults to 0).

scoreapprox=num

gives the score for an approximative answer (defaults to 1).

approx=num

sets the maximal distance to the correct integer value (value without the decimal point) for an answer to be said approximative and be rewarded to scoreapprox points (defaults to 0).

	Warning
	AMC converts all numbers (decimals included) to integers (simply removing the decimal point) before subtracting them and comparing with approx. As an example, with decimals=2, if the correct answer is 3.14 and the given answer is 3.2, then the integer difference is 320-314=6, so that the student gets scoreapprox points only if approx is 6 or greater.

scorewrong=num

gives the score for an wrong answer (defaults to 0).

keepas=text

keeps the value entered by the student for future use with alsocorrect in another question.

All following questions must follow the lexicographic order of IDs

alsocorrect=text

gives another acceptable answer, that can be based on the values entered by the student in the previous questions. The formula use perl code:

+, -, *, /, ** (power)

 \begin{question}{carre-a}
    \QuestionIndicative
    Choose any number.
    \begin{reponseshoriz}[o]
      \wronhchoice{2}\scoring{2,setglobal.Number=2}
      \wronhchoice{3}\scoring{3,setglobal.Number=3}
      \wronhchoice{4}\scoring{4,setglobal.Number=4}
      \wronhchoice{5}\scoring{5,setglobal.Number=5}
    \end{reponseshoriz}
  \end{question}

  \begin{questionmultx}{carre-b}
    \AMCdontAnnotate\bareme{MAX=2}
    What is his square?
    \AMCnumericChoices{}{digits=2,approx=1,alsocorrect=Number**2}
  \end{questionmultx}



  \begin{minipage}{.3\linewidth}
    \begin{tikzpicture}
      \draw[fill=blue!50] (0,0) ellipse (1.5 and 0.2);
      \draw (1.5,0) -- (0,5) -- (-1.5,0);
      \draw (1.6,0) -- (2,0);
      \draw (1.6,5) -- (2,5);
      \draw[<->] (1.8,0) -- (1.8,5);
      \node[right] at (1.8,2.5) {$h=5$};
      \draw (0,-0.4) -- (0,-0.8);
      \draw (1.5,-0.4) -- (1.5,-0.8);
      \draw[<->] (0,-0.6) -- (1.5,-0.6);
      \node[below] at (0.75,-0.6) {$r=1.5$};
      \draw[fill=black] (0,0) circle (0.02);
    \end{tikzpicture}
  \end{minipage}
  \begin{minipage}{.65\linewidth}
    \begin{questionmultx}{cone-a}
      What is the area of the blue disc?
      \AMCnumericChoices{pi*1.5^2}{digits=3,decimals=2,exponent=2,approx=2,sign=false,
      exposign=true,expovertical=true,keepas=Surface}
    \end{questionmultx}

    \begin{questionmultx}{cone-b}
      What is the volume of the cone?
      \AMCnumericChoices{pi*1.5^2*5/3}{digits=3,decimals=2,exponent=2,approx=2,sign=false,
      exposign=true,expovertical=true,alsocorrect=Surface*5/3}
    \end{questionmultx}
  \end{minipage}



  \begin{questionmultx}{pipi2-a}
    What is the value of$\pi$ ?
    \AMCnumericChoices{pi}{digits=3,decimals=2,sign=false,keepas=Pi}
  \end{questionmultx}

  \begin{questionmultx}{pipi2-b}
    What is the value  $\pi^2$ ?
    \AMCnumericChoices{pi^2}{digits=3,decimals=2,sign=false,approx=1,alsocorrect=Pi**2}
  \end{questionmultx}

You can set other default values (for the whole exam) for all these parameters using the command \AMCnumericOpts, like

\AMCnumericOpts{scoreexact=3,borderwidth=2pt}

Moreover, the text added at the end of the questions using \AMCnumericChoices when not in the separate answer sheet (and when a separate answer sheet is requested by the separateanswersheet package option) can also be set redefining the \AMCntextGoto command, as:

\def\AMCntextGoto{\par{\bf\emph{Please code the answer on
                           the separate answer sheet.}}}

Access to values

intX

raw value entered by student.

intV

correct raw value.

This package must be declared after the package automultiplechoice.

LaTeX package pgf/tikz (see http://www.ctan.org/tex-archive/graphics/pgf/base) provides mathematical functions that can be loaded with

\usepackage{tikz}

First of all, you must set the random seed to be sure to get the same result each time latex is run to compile the subject:

\pgfmathsetseed{2056}

A simple computation

Here is an example with a simple computation:

\begin{question}{inverse}
  \pgfmathrandominteger{\x}{1}{50}

  How much is the reciprocal of $x=\x$?

  \begin{choices}
    \correctchoice{\pgfmathparse{1/\x}\pgfmathresult }
    \wrongchoice{\pgfmathparse{1/(\x +1))}\pgfmathresult}
    \wrongchoice{\pgfmathparse{cos(\x)} \pgfmathresult}
    \wrongchoice{\pgfmathparse{\x^(-0.5)}\pgfmathresult}
  \end{choices}
\end{question}

Here, the command \pgfmathparse makes the computation, and \pgfmathresult outputs the result.

Output formatting is also available with the command \pgfmathprintnumber, as in the following example (three digits after decimal point, and use of the comma as a decimal point).

\begin{question}{inverse3}
  \pgfmathrandominteger{\x}{1}{50}
  \pgfkeys{/pgf/number format/.cd,fixed,fixed zerofill,precision=3,use comma}
  How much is the reciprocal of $x=\pgfmathprintnumber{\x}$?

  \begin{choices}
    \correctchoice{\pgfmathparse{1/\x}\pgfmathprintnumber{\pgfmathresult}}
    \wrongchoice{\pgfmathparse{1/(\x +1))} \pgfmathprintnumber{\pgfmathresult}}
    \wrongchoice{\pgfmathparse{cos(\x)} \pgfmathprintnumber{\pgfmathresult}}
    \wrongchoice{\pgfmathparse{\x^(-0.5)} \pgfmathprintnumber{\pgfmathresult}}
  \end{choices}
\end{question}

	Note
	You can also use the \AMCIntervals and \AMCnumericChoices commands (see the section called “Choosing an interval” and the section called “Coding the result”)

\begin{questionmult}{graph}
  Let us consider the three functions which graphs are plotted below:
  \pgfmathrandominteger{\a}{2}{4}
  \begin{center}
    \begin{tikzpicture}[domain=0:4]
      \draw[very thin,color=gray] (-0.1,-4.1) grid (3.9,3.9);
      \draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
      \draw[->] (0,-4.2) -- (0,4.2) node[above] {$f(x)$};
      \draw[color=red] plot (\x,{(1+\a/4)*\x-\a}) node[right] {$f_{1} (x)$};
      \draw[color=blue] plot (\x,{\a*sin(\x r)}) node[right] {$f_{2}(x)$};
      \draw[color=orange] plot (\x,{\a*cos(\x r)}) node[right] {$f_{3}(x)$};
    \end{tikzpicture}
  \end{center}
  Then:
  \begin{choices}
    \pgfmathrandominteger{\x0}{2}{4}
    \correctchoice{$f_{2}(\x0)$=\pgfmathparse{\a*sin(\x0 r)} \pgfmathprintnumber{\pgfmathresult}.}
    \correctchoice{$f_{3}(\x0)$=\pgfmathparse{\a*cos(\x0 r)} \pgfmathprintnumber{\pgfmathresult}.}
    \wrongchoice{La fonction $f_{1}(x)$ est une fonction linéaire.}
  \end{choices}
\end{questionmult}

LUA language can be used inside LaTeX documents thanks to the lualatex command. If you uses it, your document needs to be UTF-8 encoded, and you must not load the inputenc package. See http://www.luatex.org/documentation.html for some information.

LUA commands are to be given as a \directlua argument. The most useful LUA function is tex.print, which will output results back to LaTeX.

Once again, if you use random numbers, always fix the random seed to get the same results across different compilations:

\directlua{math.randomseed (2048)}

Here is a very simple sample source file:

\documentclass[a4paper]{article}
%\usepackage[utf8x]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[box,completemulti]{automultiplechoice}
\begin{document}

\onecopy{10}{

%%% head

\noindent{\bf QCM  \hfill TEST}

\vspace*{.5cm}
\begin{minipage}{.4\linewidth}
  \centering\large\bf LuaLaTeX sample exam
\end{minipage}
\namefield{\fbox{\begin{minipage}{.5\linewidth}
Name :

\vspace*{.5cm}\dotfill
\vspace*{1mm}
\end{minipage}}}

%%%

\directlua{math.randomseed (2048)}
\directlua{a=math.random()}

\begin{question}{square-root}
  How much is the square root of \directlua{tex.print(a)}?

  \begin{choices}
    \correctchoice{\directlua{tex.print(math.sqrt(a))}}
    \wrongchoice{\directlua{tex.print(math.sqrt(2*a))}}
    \wrongchoice{\directlua{tex.print(math.sqrt(a*1.001))}}
  \end{choices}
\end{question}

}

\end{document}      

Output formatting can be obtained using lua functions, or with the siunitx package.

	Note
	You can also use the \AMCIntervals and \AMCnumericChoices commands (see the section called “Choosing an interval” and the section called “Coding the result”)