\relax 
\providecommand\zref@newlabel[2]{}
\pgfsyspdfmark {pgfid2}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {2}The Pythagorean Theorem}{1}{}\protected@file@percent }
\pgfsyspdfmark {pgfid1}{3729359}{9498913}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.0.1}Theorem:}{1}{}\protected@file@percent }
\gdef\pointsonpage@i{0}
\gdef\pointsonpage@ii{0}
\gdef\pointsonpage@iii{0}
\gdef\pointsonpage@iv{0}
\gdef\pointsonpage@v{0}
\gdef\pointsonpage@vi{0}
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\pgfsyspdfmark {pgfid8}{4736286}{47362867}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2.0.2}Hypotenuse}{2}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {3}Examples}{2}{}\protected@file@percent }
\PgInfo{question@1}{2}
\PgInfo{question1@object1}{2}
\newlabel{question@1}{{1}{2}}
\newlabel{firstpoints@onpage@7}{{1}{2}}
\pgfsyspdfmark {pgfid7}{3729359}{3823752}
\gdef\pointsofq@i{0}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\gdef\pointsofq@iv{1}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@v{1}
\gdef\bonuspointsofq@v{0}
\pgfsyspdfmark {pgfid14}{4736286}{47362867}
\PgInfo{question@2}{3}
\PgInfo{question2@object1}{3}
\newlabel{question@2}{{2}{3}}
\PgInfo{question@3}{3}
\PgInfo{question3@object1}{3}
\newlabel{question@3}{{3}{3}}
\pgfsyspdfmark {pgfid9}{3729359}{16964500}
\pgfsyspdfmark {pgfid16}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {4}Exercises}{4}{}\protected@file@percent }
\PgInfo{question@1}{4}
\PgInfo{question1@object1}{4}
\newlabel{question@1}{{1}{4}}
\pgfsyspdfmark {pgfid15}{3729359}{37123044}
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\pgfsyspdfmark {pgfid18}{4736286}{47362867}
\PgInfo{question@2}{5}
\PgInfo{question2@object1}{5}
\newlabel{question@2}{{2}{5}}
\PgInfo{question@3}{5}
\PgInfo{question3@object1}{5}
\newlabel{question@3}{{3}{5}}
\PgInfo{question@4}{5}
\PgInfo{question4@object1}{5}
\newlabel{question@4}{{4}{5}}
\PgInfo{question@5}{5}
\PgInfo{question5@object1}{5}
\newlabel{question@5}{{5}{5}}
\pgfsyspdfmark {pgfid17}{3729359}{12803413}
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\gdef\pointsofq@iv{1}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\gdef\pointsofq@iv{2}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@v{3}
\gdef\bonuspointsofq@v{0}
\pgfsyspdfmark {pgfid24}{4736286}{47362867}
\PgInfo{question@1}{6}
\PgInfo{question1@object1}{6}
\newlabel{question@1}{{1}{6}}
\PgInfo{question@2}{6}
\PgInfo{question2@object1}{6}
\newlabel{question@2}{{2}{6}}
\PgInfo{question@3}{6}
\PgInfo{question3@object1}{6}
\newlabel{question@3}{{3}{6}}
\pgfsyspdfmark {pgfid19}{3729359}{24861997}
\@writefile{toc}{\contentsline {section}{\numberline {5}Introduction to Surds}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {6}Examples}{6}{}\protected@file@percent }
\PgInfo{question@1}{6}
\PgInfo{question1@object1}{6}
\newlabel{question@1}{{1}{6}}
\PgInfo{question@2}{6}
\PgInfo{question2@object1}{6}
\newlabel{question@2}{{2}{6}}
\PgInfo{question@3}{6}
\PgInfo{question3@object1}{6}
\newlabel{question@3}{{3}{6}}
\PgInfo{question@4}{6}
\PgInfo{question4@object1}{6}
\newlabel{question@4}{{4}{6}}
\pgfsyspdfmark {pgfid20}{3729359}{6306733}
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\gdef\pointsofq@iv{1}
\gdef\bonuspointsofq@iv{0}
\pgfsyspdfmark {pgfid26}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {7}Exercises}{7}{}\protected@file@percent }
\PgInfo{question@1}{7}
\PgInfo{question1@object1}{7}
\newlabel{question@1}{{1}{7}}
\PgInfo{question@2}{7}
\PgInfo{question2@object1}{7}
\newlabel{question@2}{{2}{7}}
\PgInfo{question@3}{7}
\PgInfo{question3@object1}{7}
\newlabel{question@3}{{3}{7}}
\PgInfo{question@4}{7}
\PgInfo{question4@object1}{7}
\newlabel{question@4}{{4}{7}}
\PgInfo{question@5}{7}
\PgInfo{question5@object1}{7}
\newlabel{question@5}{{5}{7}}
\pgfsyspdfmark {pgfid25}{3729359}{13619226}
\@writefile{toc}{\contentsline {section}{\numberline {8}Simplifying Surds}{7}{}\protected@file@percent }
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@i{12}
\gdef\bonuspointsofq@i{0}
\pgfsyspdfmark {pgfid29}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {9}Examples}{8}{}\protected@file@percent }
\PgInfo{question@1}{8}
\PgInfo{question1@object1}{8}
\newlabel{question@1}{{1}{8}}
\PgInfo{question@2}{8}
\PgInfo{question2@object1}{8}
\newlabel{question@2}{{2}{8}}
\PgInfo{question@3}{8}
\PgInfo{question3@object1}{8}
\newlabel{question@3}{{3}{8}}
\PgInfo{question@4}{8}
\PgInfo{question4@object1}{8}
\newlabel{question@4}{{4}{8}}
\pgfsyspdfmark {pgfid27}{3729359}{39683017}
\@writefile{toc}{\contentsline {section}{\numberline {10}Exercises}{8}{}\protected@file@percent }
\PgInfo{question@1}{8}
\PgInfo{question1@object1}{8}
\newlabel{question@1}{{1}{8}}
\PgInfo{question@2}{8}
\PgInfo{question2@object1}{8}
\newlabel{question@2}{{2}{8}}
\pgfsyspdfmark {pgfid28}{3729359}{31389759}
\@writefile{toc}{\contentsline {section}{\numberline {11}Addition \& Subtraction of Surds}{8}{}\protected@file@percent }
\pgfsyspdfmark {pgfid31}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {12}Exercises}{9}{}\protected@file@percent }
\PgInfo{question@1}{9}
\PgInfo{question1@object1}{9}
\newlabel{question@1}{{1}{9}}
\PgInfo{part@1@1}{9}
\PgInfo{question1@object2}{9}
\newlabel{part@1@1}{{a}{9}}
\PgInfo{part@1@2}{9}
\PgInfo{question1@object3}{9}
\newlabel{part@1@2}{{b}{9}}
\PgInfo{part@1@3}{9}
\PgInfo{question1@object4}{9}
\newlabel{part@1@3}{{c}{9}}
\PgInfo{part@1@4}{9}
\PgInfo{question1@object5}{9}
\newlabel{part@1@4}{{d}{9}}
\PgInfo{part@1@5}{9}
\PgInfo{question1@object6}{9}
\newlabel{part@1@5}{{e}{9}}
\PgInfo{part@1@6}{9}
\PgInfo{question1@object7}{9}
\newlabel{part@1@6}{{f}{9}}
\PgInfo{part@1@7}{9}
\PgInfo{question1@object8}{9}
\newlabel{part@1@7}{{g}{9}}
\PgInfo{part@1@8}{9}
\PgInfo{question1@object9}{9}
\newlabel{part@1@8}{{h}{9}}
\PgInfo{part@1@9}{9}
\PgInfo{question1@object10}{9}
\newlabel{part@1@9}{{i}{9}}
\PgInfo{part@1@10}{9}
\PgInfo{question1@object11}{9}
\newlabel{part@1@10}{{j}{9}}
\PgInfo{part@1@11}{9}
\PgInfo{question1@object12}{9}
\newlabel{part@1@11}{{k}{9}}
\PgInfo{part@1@12}{9}
\PgInfo{question1@object13}{9}
\newlabel{part@1@12}{{l}{9}}
\pgfsyspdfmark {pgfid30}{3729359}{5775433}
\gdef\pointsofq@i{2}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{0}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{2}
\gdef\bonuspointsofq@iii{0}
\gdef\pointsofq@iv{0}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@v{2}
\gdef\bonuspointsofq@v{0}
\gdef\pointsofq@vi{0}
\gdef\bonuspointsofq@vi{0}
\gdef\pointsofq@vii{2}
\gdef\bonuspointsofq@vii{0}
\gdef\pointsofq@viii{0}
\gdef\bonuspointsofq@viii{0}
\gdef\pointsofq@i{1}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{1}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{1}
\gdef\bonuspointsofq@iii{0}
\gdef\pointsofq@iv{1}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@v{1}
\gdef\bonuspointsofq@v{0}
\pgfsyspdfmark {pgfid46}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {13}Multiplication \& Division of Surds}{10}{}\protected@file@percent }
\pgfsyspdfmark {pgfid32}{16736233}{42898754}
\pgfsyspdfmark {pgfid33}{17448934}{42898754}
\pgfsyspdfmark {pgfid34}{19122826}{42898754}
\pgfsyspdfmark {pgfid35}{19835527}{42898754}
\pgfsyspdfmark {pgfid36}{23458337}{42898754}
\pgfsyspdfmark {pgfid37}{23714714}{42898754}
\@writefile{toc}{\contentsline {section}{\numberline {14}Examples}{10}{}\protected@file@percent }
\PgInfo{question@1}{10}
\PgInfo{question1@object1}{10}
\newlabel{question@1}{{1}{10}}
\PgInfo{question@2}{10}
\PgInfo{question2@object1}{10}
\newlabel{question@2}{{2}{10}}
\PgInfo{question@3}{10}
\PgInfo{question3@object1}{10}
\newlabel{question@3}{{3}{10}}
\PgInfo{question@4}{10}
\PgInfo{question4@object1}{10}
\newlabel{question@4}{{4}{10}}
\PgInfo{question@5}{10}
\PgInfo{question5@object1}{10}
\newlabel{question@5}{{5}{10}}
\PgInfo{question@6}{10}
\PgInfo{question6@object1}{10}
\newlabel{question@6}{{6}{10}}
\PgInfo{question@7}{10}
\PgInfo{question7@object1}{10}
\newlabel{question@7}{{7}{10}}
\PgInfo{question@8}{10}
\PgInfo{question8@object1}{10}
\newlabel{question@8}{{8}{10}}
\pgfsyspdfmark {pgfid38}{3729359}{15300026}
\@writefile{toc}{\contentsline {section}{\numberline {15}Exercises}{10}{}\protected@file@percent }
\pgfsyspdfmark {pgfid39}{14691739}{8277557}
\pgfsyspdfmark {pgfid40}{16005992}{8277557}
\pgfsyspdfmark {pgfid41}{16934316}{8277557}
\pgfsyspdfmark {pgfid42}{18248524}{8277557}
\pgfsyspdfmark {pgfid43}{25811894}{8277557}
\pgfsyspdfmark {pgfid44}{26068271}{8277557}
\PgInfo{question@1}{10}
\PgInfo{question1@object1}{10}
\newlabel{question@1}{{1}{10}}
\pgfsyspdfmark {pgfid45}{3729359}{3729359}
\pgfsyspdfmark {pgfid48}{4736286}{47362867}
\PgInfo{question@2}{11}
\PgInfo{question2@object1}{11}
\newlabel{question@2}{{2}{11}}
\PgInfo{question@3}{11}
\PgInfo{question3@object1}{11}
\newlabel{question@3}{{3}{11}}
\PgInfo{question@4}{11}
\PgInfo{question4@object1}{11}
\newlabel{question@4}{{4}{11}}
\PgInfo{question@5}{11}
\PgInfo{question5@object1}{11}
\newlabel{question@5}{{5}{11}}
\pgfsyspdfmark {pgfid47}{3729359}{23557886}
\gdef\pointsofq@i{3}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{3}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{2}
\gdef\bonuspointsofq@iii{0}
\pgfsyspdfmark {pgfid52}{4736286}{47362867}
\@writefile{toc}{\contentsline {section}{\numberline {16}Homework}{12}{}\protected@file@percent }
\PgInfo{question@1}{12}
\PgInfo{question1@object1}{12}
\newlabel{question@1}{{1}{12}}
\PgInfo{part@1@1}{12}
\PgInfo{question1@object2}{12}
\newlabel{part@1@1}{{a}{12}}
\PgInfo{part@1@2}{12}
\PgInfo{question1@object3}{12}
\newlabel{part@1@2}{{b}{12}}
\PgInfo{part@1@3}{12}
\PgInfo{question1@object4}{12}
\newlabel{part@1@3}{{c}{12}}
\PgInfo{question@2}{12}
\PgInfo{question2@object1}{12}
\newlabel{question@2}{{2}{12}}
\PgInfo{part@2@1}{12}
\PgInfo{question2@object2}{12}
\newlabel{part@2@1}{{a}{12}}
\PgInfo{part@2@2}{12}
\PgInfo{question2@object3}{12}
\newlabel{part@2@2}{{b}{12}}
\PgInfo{part@2@3}{12}
\PgInfo{question2@object4}{12}
\newlabel{part@2@3}{{c}{12}}
\PgInfo{question@3}{12}
\PgInfo{question3@object1}{12}
\newlabel{question@3}{{3}{12}}
\PgInfo{part@3@1}{12}
\PgInfo{question3@object2}{12}
\newlabel{part@3@1}{{a}{12}}
\PgInfo{part@3@2}{12}
\PgInfo{question3@object3}{12}
\newlabel{part@3@2}{{b}{12}}
\PgInfo{question@4}{12}
\PgInfo{question4@object1}{12}
\newlabel{question@4}{{4}{12}}
\gdef\pointsofq@iv{2}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@v{2}
\gdef\bonuspointsofq@v{0}
\gdef\pointsofq@i{3}
\gdef\bonuspointsofq@i{0}
\pgfsyspdfmark {pgfid56}{4736286}{47362867}
\PgInfo{question@5}{13}
\PgInfo{question5@object1}{13}
\newlabel{question@5}{{5}{13}}
\PgInfo{question@1}{13}
\PgInfo{question1@object1}{13}
\newlabel{question@1}{{1}{13}}
\PgInfo{part@1@1}{13}
\PgInfo{question1@object2}{13}
\newlabel{part@1@1}{{a}{13}}
\PgInfo{part@1@2}{13}
\PgInfo{question1@object3}{13}
\newlabel{part@1@2}{{b}{13}}
\PgInfo{part@1@3}{13}
\PgInfo{question1@object4}{13}
\newlabel{part@1@3}{{c}{13}}
\PgInfo{question@1}{13}
\PgInfo{question1@object1}{13}
\newlabel{question@1}{{1}{13}}
\PgInfo{part@1@1}{13}
\PgInfo{question1@object2}{13}
\newlabel{part@1@1}{{a}{13}}
\PgInfo{part@1@2}{13}
\PgInfo{question1@object3}{13}
\newlabel{part@1@2}{{b}{13}}
\PgInfo{part@1@3}{13}
\PgInfo{question1@object4}{13}
\newlabel{part@1@3}{{c}{13}}
\PgInfo{part@1@4}{13}
\PgInfo{question1@object5}{13}
\newlabel{part@1@4}{{d}{13}}
\PgInfo{part@1@5}{13}
\PgInfo{question1@object6}{13}
\newlabel{part@1@5}{{e}{13}}
\PgInfo{part@1@6}{13}
\PgInfo{question1@object7}{13}
\newlabel{part@1@6}{{f}{13}}
\PgInfo{part@1@7}{13}
\PgInfo{question1@object8}{13}
\newlabel{part@1@7}{{g}{13}}
\PgInfo{part@1@8}{13}
\PgInfo{question1@object9}{13}
\newlabel{part@1@8}{{h}{13}}
\PgInfo{part@1@9}{13}
\PgInfo{question1@object10}{13}
\newlabel{part@1@9}{{i}{13}}
\gdef\pointsofq@i{18}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{4}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{2}
\gdef\bonuspointsofq@iii{0}
\pgfsyspdfmark {pgfid57}{4736286}{47362867}
\PgInfo{part@1@10}{14}
\PgInfo{question1@object11}{14}
\newlabel{part@1@10}{{j}{14}}
\PgInfo{part@1@11}{14}
\PgInfo{question1@object12}{14}
\newlabel{part@1@11}{{k}{14}}
\PgInfo{part@1@12}{14}
\PgInfo{question1@object13}{14}
\newlabel{part@1@12}{{l}{14}}
\PgInfo{part@1@13}{14}
\PgInfo{question1@object14}{14}
\newlabel{part@1@13}{{m}{14}}
\PgInfo{part@1@14}{14}
\PgInfo{question1@object15}{14}
\newlabel{part@1@14}{{n}{14}}
\PgInfo{part@1@15}{14}
\PgInfo{question1@object16}{14}
\newlabel{part@1@15}{{o}{14}}
\PgInfo{part@1@16}{14}
\PgInfo{question1@object17}{14}
\newlabel{part@1@16}{{p}{14}}
\PgInfo{part@1@17}{14}
\PgInfo{question1@object18}{14}
\newlabel{part@1@17}{{q}{14}}
\PgInfo{part@1@18}{14}
\PgInfo{question1@object19}{14}
\newlabel{part@1@18}{{r}{14}}
\PgInfo{question@2}{14}
\PgInfo{question2@object1}{14}
\newlabel{question@2}{{2}{14}}
\PgInfo{part@2@1}{14}
\PgInfo{question2@object2}{14}
\newlabel{part@2@1}{{a}{14}}
\PgInfo{part@2@2}{14}
\PgInfo{question2@object3}{14}
\newlabel{part@2@2}{{b}{14}}
\PgInfo{part@2@3}{14}
\PgInfo{question2@object4}{14}
\newlabel{part@2@3}{{c}{14}}
\PgInfo{part@2@4}{14}
\PgInfo{question2@object5}{14}
\newlabel{part@2@4}{{d}{14}}
\PgInfo{question@3}{14}
\PgInfo{question3@object1}{14}
\newlabel{question@3}{{3}{14}}
\PgInfo{part@3@1}{14}
\PgInfo{question3@object2}{14}
\newlabel{part@3@1}{{a}{14}}
\PgInfo{part@3@2}{14}
\PgInfo{question3@object3}{14}
\newlabel{part@3@2}{{b}{14}}
\PgInfo{question@1}{14}
\PgInfo{question1@object1}{14}
\newlabel{question@1}{{1}{14}}
\PgInfo{part@1@1}{14}
\PgInfo{question1@object2}{14}
\newlabel{part@1@1}{{a}{14}}
\PgInfo{part@1@2}{14}
\PgInfo{question1@object3}{14}
\newlabel{part@1@2}{{b}{14}}
\PgInfo{part@1@3}{14}
\PgInfo{question1@object4}{14}
\newlabel{part@1@3}{{c}{14}}
\gdef\pointsofq@i{16}
\gdef\bonuspointsofq@i{0}
\pgfsyspdfmark {pgfid58}{4736286}{47362867}
\PgInfo{part@1@4}{15}
\PgInfo{question1@object5}{15}
\newlabel{part@1@4}{{d}{15}}
\PgInfo{part@1@5}{15}
\PgInfo{question1@object6}{15}
\newlabel{part@1@5}{{e}{15}}
\PgInfo{part@1@6}{15}
\PgInfo{question1@object7}{15}
\newlabel{part@1@6}{{f}{15}}
\PgInfo{part@1@7}{15}
\PgInfo{question1@object8}{15}
\newlabel{part@1@7}{{g}{15}}
\PgInfo{part@1@8}{15}
\PgInfo{question1@object9}{15}
\newlabel{part@1@8}{{h}{15}}
\PgInfo{part@1@9}{15}
\PgInfo{question1@object10}{15}
\newlabel{part@1@9}{{i}{15}}
\PgInfo{part@1@10}{15}
\PgInfo{question1@object11}{15}
\newlabel{part@1@10}{{j}{15}}
\PgInfo{part@1@11}{15}
\PgInfo{question1@object12}{15}
\newlabel{part@1@11}{{k}{15}}
\PgInfo{part@1@12}{15}
\PgInfo{question1@object13}{15}
\newlabel{part@1@12}{{l}{15}}
\PgInfo{part@1@13}{15}
\PgInfo{question1@object14}{15}
\newlabel{part@1@13}{{m}{15}}
\PgInfo{part@1@14}{15}
\PgInfo{question1@object15}{15}
\newlabel{part@1@14}{{n}{15}}
\PgInfo{part@1@15}{15}
\PgInfo{question1@object16}{15}
\newlabel{part@1@15}{{o}{15}}
\PgInfo{part@1@16}{15}
\PgInfo{question1@object17}{15}
\newlabel{part@1@16}{{p}{15}}
\PgInfo{question@1}{15}
\PgInfo{question1@object1}{15}
\newlabel{question@1}{{1}{15}}
\PgInfo{part@1@1}{15}
\PgInfo{question1@object2}{15}
\newlabel{part@1@1}{{a}{15}}
\PgInfo{part@1@2}{15}
\PgInfo{question1@object3}{15}
\newlabel{part@1@2}{{b}{15}}
\PgInfo{part@1@3}{15}
\PgInfo{question1@object4}{15}
\newlabel{part@1@3}{{c}{15}}
\PgInfo{part@1@4}{15}
\PgInfo{question1@object5}{15}
\newlabel{part@1@4}{{d}{15}}
\PgInfo{part@1@5}{15}
\PgInfo{question1@object6}{15}
\newlabel{part@1@5}{{e}{15}}
\gdef\pointsofq@i{8}
\gdef\bonuspointsofq@i{0}
\gdef\pointsofq@ii{12}
\gdef\bonuspointsofq@ii{0}
\gdef\pointsofq@iii{0}
\gdef\bonuspointsofq@iii{0}
\pgfsyspdfmark {pgfid59}{4736286}{47362867}
\PgInfo{part@1@6}{16}
\PgInfo{question1@object7}{16}
\newlabel{part@1@6}{{f}{16}}
\PgInfo{part@1@7}{16}
\PgInfo{question1@object8}{16}
\newlabel{part@1@7}{{g}{16}}
\PgInfo{part@1@8}{16}
\PgInfo{question1@object9}{16}
\newlabel{part@1@8}{{h}{16}}
\PgInfo{question@2}{16}
\PgInfo{question2@object1}{16}
\newlabel{question@2}{{2}{16}}
\PgInfo{part@2@1}{16}
\PgInfo{question2@object2}{16}
\newlabel{part@2@1}{{a}{16}}
\PgInfo{part@2@2}{16}
\PgInfo{question2@object3}{16}
\newlabel{part@2@2}{{b}{16}}
\PgInfo{part@2@3}{16}
\PgInfo{question2@object4}{16}
\newlabel{part@2@3}{{c}{16}}
\PgInfo{part@2@4}{16}
\PgInfo{question2@object5}{16}
\newlabel{part@2@4}{{d}{16}}
\PgInfo{part@2@5}{16}
\PgInfo{question2@object6}{16}
\newlabel{part@2@5}{{e}{16}}
\PgInfo{part@2@6}{16}
\PgInfo{question2@object7}{16}
\newlabel{part@2@6}{{f}{16}}
\PgInfo{part@2@7}{16}
\PgInfo{question2@object8}{16}
\newlabel{part@2@7}{{g}{16}}
\PgInfo{part@2@8}{16}
\PgInfo{question2@object9}{16}
\newlabel{part@2@8}{{h}{16}}
\PgInfo{part@2@9}{16}
\PgInfo{question2@object10}{16}
\newlabel{part@2@9}{{i}{16}}
\PgInfo{part@2@10}{16}
\PgInfo{question2@object11}{16}
\newlabel{part@2@10}{{j}{16}}
\PgInfo{part@2@11}{16}
\PgInfo{question2@object12}{16}
\newlabel{part@2@11}{{k}{16}}
\PgInfo{part@2@12}{16}
\PgInfo{question2@object13}{16}
\newlabel{part@2@12}{{l}{16}}
\PgInfo{question@3}{16}
\PgInfo{question3@object1}{16}
\newlabel{question@3}{{3}{16}}
\PgInfo{question@4}{16}
\PgInfo{question4@object1}{16}
\newlabel{question@4}{{4}{16}}
\gdef\pointsofq@iv{2}
\gdef\bonuspointsofq@iv{0}
\gdef\pointsofq@v{2}
\gdef\bonuspointsofq@v{0}
\gdef\pointsofq@vi{2}
\gdef\bonuspointsofq@vi{0}
\pgfsyspdfmark {pgfid60}{4736286}{47362867}
\PgInfo{question@5}{17}
\PgInfo{question5@object1}{17}
\newlabel{question@5}{{5}{17}}
\PgInfo{question@6}{17}
\PgInfo{question6@object1}{17}
\newlabel{question@6}{{6}{17}}
\gdef\exam@lastpage{17}
\gdef\exam@lastcoverpage{0}
\gdef\exam@totalpages{17}
\gdef\exam@numpoints{134}
\gdef\exam@numbonuspoints{0}
\gdef\exam@numquestions{56}
\gdef\exam@numparts{83}
\gdef\exam@numsubparts{0}
\gdef\exam@numsubsubparts{0}
\gdef\pointsonpage@vii{134}
\gdef\lastpage@withpoints{7}
\gdef\lastpage@withbonuspoints{0}
\gdef \@abspage@last{17}