Creating and Automating Exams with LaTeX & Friends Uwe Ziegenhagen August 11, 2019 Dante e. V. Heidelberg 1
What’s this talk about? • As a lecturer I need to prepare exams • Exams require significant amount of time: • not too simple, not too difficult • right amount of questions • unambigous questions • L A T EX offers various packages to typeset exams and exercises, in this talk we cover exam 2
The exam document class • Maintained by Philip Hirschhorn • Current version 2.6 from November 2017 • Comes with a well-written manual • Supports various types of questions, multiple choice questions, grading tables, etc. 3
A very basic example \documentclass[12pt]{exam} 1 2 \begin{document}\Large 3 4 \begin{questions} 5 \question[10] Who was Albert Einstein? 6 \question[10] Compute \(e = m \cdot c^2 \)! 7 \end{questions} 8 9 \end{document} 10 � Listing 1: A very basic exam example 4
Resulting document 1. (10 points) Who was Albert Einstein? 2. (10 points) Compute e = m · c 2 ! Figure 1: Resulting output 5
Localizing the exam-specific terms Exam-specific terms can be localized, here’s an example for German: 1 \pointpoints{Punkt}{Punkte} \bonuspointpoints{Bonuspunkt}{Bonuspunkte} 2 \renewcommand{\solutiontitle}{\noindent\textbf{Lösung:}\enspace} 3 \chqword{Frage} 4 \chpgword{Seite} 5 \chpword{Punkte} 6 \chbpword{Bonus Punkte} 7 \chsword{Erreicht} 8 \chtword{Gesamt} 9 10 \hpword{Punkte:} \hsword{Ergebnis:} 11 \hqword{Aufgabe:} 12 \htword{Summe:} 13 6
Creating headers and footer You can create headers and footers for the first resp. running pages. \pagestyle{headandfoot} 1 2 \firstpageheadrule \runningheadrule 3 \firstpageheader{<left>}{<center>}{John Doe \\ Statistics 101 - 2019} 4 \runningheader{<l>}{<c>}{Statistics 101 - 2019} 5 \firstpagefooter{\today}{FOM Essen}{\thepage\,/\,\numpages} 6 \runningfooter{\today}{FOM Essen}{\thepage\,/\,\numpages} 7 8 \begin{document}\Large 9 \begin{questions} 10 11 \question[10] Who was Albert Einstein? \question[10] Compute \(e = m \cdot c^2 \)! 12 \end{questions} 13 \end{document} 14 � Listing 2: Setting header & footer 7
Resulting document John Doe <left> <center> Statistics 101 - 2019 1. (10 points) Who was Albert Einstein? 2. (10 points) Compute e = m · c 2 ! Figure 2: Resulting output (top) August 11, 2019 FOM Essen 1 / 1 Figure 3: Resulting output (bottom) 8
Dividing questions • Questions can be further divided, exam provides the following environments: • parts • subparts • subsubparts • Inside these environments individual questions are then added with • \part • \subpart • \subsubpart 9
Example for subdivided questions \question[10] Who was Albert Einstein? 1 2 \begin{parts} 3 \part[1] Where was he born? 4 \part[4] What has he become famous for? 5 \begin{subparts} 6 \subpart[2] What does \(e=mc^2\) mean? 7 \subpart[2] What did he get the Nobelprice for? 8 \end{subparts} 9 \end{parts} 10 11 \end{questions} 12 \end{document} 13 � Listing 3: Subdivisions \part and \subpart 10
Resulting document John Doe <left> <center> Statistics 101 - 2019 1. (10 points) Who was Albert Einstein? (a) (1 point) Where was he born? (b) (4 points) What has he become famous for? i. (2 points) What does e = mc 2 mean? ii. (2 points) What did he get the Nobelprice for? Figure 4: Resulting output 11
Multiple choice and fill-In questions • The exam class offers several environments for multiple choice and fill-in questions: • choices for vertical choices using letters • checkboxes for vertical checkboxes • oneparcheckboxes for horizontally aligned checkboxes • with \fillin[solutiontext] horizontal lines are created there, where the students are supposed to put their answer 12
Multiple choice and fill-In questions I \question Who was not a Beatle? 1 2 \begin{choices} 3 \choice John 4 \choice Paul 5 \choice George 6 \CorrectChoice Benedict 7 \end{choices} 8 Listing 4: Example for choices � 13
Multiple choice and fill-In questions II \question Who was not a Beatle? 1 2 \begin{checkboxes} 3 \choice John 4 \choice Paul 5 \choice George 6 \CorrectChoice Benedict 7 \end{checkboxes} 8 Listing 5: Example for checkboxes � 14
Resulting document: checkboxes and choices John Doe <left> <center> Statistics 101 - 2019 1. Who was not a Beatle? A. John B. Paul C. George D. Benedict 2. Who was not a Beatle? � John � Paul � George � Benedict Figure 5: Resulting output 15
Multiple choice and fill-In questions III \question Who was not Beatle? 1 2 \begin{oneparcheckboxes} 3 \choice John 4 \choice Paul 5 \choice George 6 \choice Ringo 7 \CorrectChoice Benedict 8 \end{oneparcheckboxes} 9 10 \question \fillin[James Bond][7em] has the \enquote{ 11 license to kill}. � Listing 6: oneparcheckboxes and fillin 16
Resulting document John Doe <left> <center> Statistics 101 - 2019 1. Who was not Beatle? √ Benedict � John � Paul � George � Ringo 2. James Bond has the “license to kill”. Figure 6: Oneparcheckboxes and fillin 17
Resulting document Using the “answers” class option John Doe <left> <center> Statistics 101 - 2019 1. Who was not Beatle? √ Benedict � John � Paul � George � Ringo 2. James Bond has the “license to kill”. Figure 7: Resulting output 18
Creating space for answers % simple vertical space 1 \vspace*{<length>} 2 3 % vertical space to the end of the page 4 \vspace*{\stretch{1}} 5 \newpage 6 7 % empty framed box 8 \makeemptybox{<length>} 9 10 % empty framed box to the end of the page 11 \makeemptybox{\stretch{1}} 12 \newpage 13 19
More space for answers \fillwithlines{<length>} % for lines 1 % Remark: \linefillheight for the inter-line spacing 2 3 \fillwithdottedlines{<length>} % for dotted lines 4 % Remark: distance in \dottedlinefillheight 5 6 \fillwithgrid{<length>} % 7 % \setlength{\gridsize}{5mm} 8 % \setlength{\gridlinewidth}{0.1pt} 9 10 \answerline[answer] % for short answers 11 20
Space for answers John Doe <left> <center> Statistics 101 - 2019 1. Give a short overview of whatever! 2. (5 points) Describe the general theory of relativity! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . Figure 8: Resulting output 21
Space for answers John Doe <left> <center> Statistics 101 - 2019 1. Give a short overview of whatever! 2. (5 points) When was Henry VIII born? 2. Figure 9: Resulting output 22
Printing solutions • Global option answers controls printing of solutions • solution -environment after each \question \begin{solution} 1 Some text containing the solution. 2 \end{solution} 3 • Some environments for the solution space • solutionorbox • solutionorlines • solutionordottedlines • solutionorgrid 23
Example for the solution environment \begin{questions} 1 \question[1] How much does lead (Pb) weigh? 2 3 \begin{solution} 4 Pb weighs \SI{11,342}{\gram\per \centi\meter^3} 5 \end{solution} 6 7 \end{questions} 8 \end{document} 9 � Listing 7: Multiple choice 24
Resulting document Resulting document, class option “answers” set John Doe <left> <center> Statistics 101 - 2019 1. (1 point) How much does lead (Pb) weigh? Solution: Pb weighs 11 . 342 g / cm 3 Figure 10: Resulting output 25
Example for solutionorgrid \question[5] Draw the function $3x^2+4x+5$! 1 2 \begin{solutionorgrid}[8cm] 3 \begin{tikzpicture}[baseline] 4 \begin{axis}[ 5 axis y line=center,axis x line=middle,grid=both, 6 xmax=5,xmin=-5,ymin=0,ymax=10, 7 xlabel=$x$,ylabel=$y$,xtick={-5,...,5}, 8 ytick={0,...,11},anchor=center] 9 \addplot[smooth,blue,thick,samples=100]{3*x^2+4*x+5} ; 10 \end{axis} 11 \end{tikzpicture} 12 \end{solutionorgrid} 13 � Listing 8: solutionorgrid 26
Resulting document (“answers” not set) John Doe <left> <center> Statistics 101 - 2019 1. (5 points) Draw the function 3 x 2 + 4 x + 5 ! Figure 11: Resulting output 27
Resulting document (“answers” option set) John Doe <left> <center> Statistics 101 - 2019 1. (5 points) Draw the function 3 x 2 + 4 x + 5 ! 10 y 9 8 7 6 Solution: 5 4 3 2 1 x − 5 − 4 − 3 − 2 − 1 1 2 3 4 5 Figure 12: Resulting output with class option “answers” 28
Printing grade tables • exam supports the output of grade tables • grade tables can be arranged per page or question \gradetable[v][questions] vertically per question 1 \gradetable[h][questions] horizontally per questions 2 \gradetable[v][pages] vertically per page 3 \gradetable[h][pages] horizontally per page 4 29
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