\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{cheekykid} \pdfinfo{ /Title (mathematiques-10c-alberta.pdf) /Creator (Cheatography) /Author (cheekykid) /Subject (Mathématiques 10C (Alberta) Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{318F9A} \definecolor{LightBackground}{HTML}{F2F8F8} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Mathématiques 10C (Alberta) Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{cheekykid} via \textcolor{DarkBackground}{\uline{cheatography.com/201475/cs/46852/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}cheekykid \\ \uline{cheatography.com/cheekykid} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 13th August, 2025.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{x{1.00694 cm} x{1.92234 cm} x{1.64772 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Aire et volume}} \tn % Row 0 \SetRowColor{LightBackground} \{\{ac\}\}Prisme droite & \{\{ac\}\} A = 2 · A\_base + P\_base · h & \{\{ac\}\} V = A\_base · h \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \{\{ac\}\}Pyramide droite & \{\{ac\}\} A = A\_base + A\_latérales & \{\{ac\}\} V = (1/3) · A\_base · h \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} \{\{ac\}\} Cône droit & \{\{ac\}\} A = π · r · l + π · r\textasciicircum{}2\textasciicircum{} & \{\{ac\}\} V = (1/3) · π · r\textasciicircum{}2\textasciicircum{} · h \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} \{\{ac\}\} \seqsplit{Cylindre} droit & \{\{ac\}\} A = 2 · π · r · h + 2 · π · r\textasciicircum{}2\textasciicircum{} & \{\{ac\}\} V = π · r\textasciicircum{}2\textasciicircum{} · h \tn % Row Count 12 (+ 3) % Row 4 \SetRowColor{LightBackground} \{\{ac\}\} Sphère & \{\{ac\}\} A = 4 · π · r\textasciicircum{}2\textasciicircum{} & \{\{ac\}\} V = (4/3) · π · r\textasciicircum{}3\textasciicircum{} \tn % Row Count 15 (+ 3) % Row 5 \SetRowColor{white} \{\{ac\}\} \seqsplit{Hémisphère} & \{\{ac\}\} A = 3 · π · r\textasciicircum{}2\textasciicircum{} & \{\{ac\}\} V = (2/3) · π · r\textasciicircum{}3\textasciicircum{} \tn % Row Count 18 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Les mesures impériales}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 pi = 12 po} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 vg = 3 pi = 36 po} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 mi = 1760 vg = 5280 pi} \tn % Row Count 3 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{La trigonométrie}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}SOH CAH TOA} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}sin(θ) = opposé ÷ hypoténuse} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}cos(θ) = adjacent ÷ hypoténuse} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}tan(θ) = opposé ÷ adjacent} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a\textasciicircum{}2\textasciicircum{} + b\textasciicircum{}2\textasciicircum{} = c\textasciicircum{}2\textasciicircum{}} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\} ∠A + ∠B + ∠C = 180°} \tn % Row Count 6 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Conversions}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 po = 2,54 cm} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 pi = 30,48 cm = 0,3048 m} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 vg = 91,44 cm = 0,9144 m} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 mi = 1,609 km} \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.38896 cm} x{2.58804 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Les fonctions et les relations}} \tn % Row 0 \SetRowColor{LightBackground} La forme explicite & y = m·x + b \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} La forme pente-point & y - y1 = m · (x - x1) \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} La forme générale & Ax + By + C = 0 \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{La pente}} \tn % Row 0 \SetRowColor{LightBackground} La pente & m = Δy / Δx \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} m \textgreater{} 0 & droite montante / \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} m = 0 & droite horizontale — \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} m \textless{} 0 & droite descendante \textbackslash{} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} m non-définie & droite verticale | \tn % Row Count 5 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Les mesures métriques}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 cm = 10 mm} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 m = 100 cm} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}1 km = 1000 m = 10\textasciicircum{}5\textasciicircum{} cm= 10\textasciicircum{}6\textasciicircum{} mm} \tn % Row Count 3 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Lois des exposants}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{a\textasciicircum{}m\textasciicircum{} × a\textasciicircum{}n\textasciicircum{} = a\textasciicircum{}m + n\textasciicircum{}\{\{ac\}\}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{a\textasciicircum{}m\textasciicircum{} / a\textasciicircum{}n\textasciicircum{} = a\textasciicircum{}m-n\textasciicircum{}\{\{ac\}\}} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{(a\textasciicircum{}m\textasciicircum{})\textasciicircum{}n\textasciicircum{} = a\textasciicircum{}m · n\textasciicircum{}\{\{ac\}\}} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{(a · b)\textasciicircum{}n\textasciicircum{} = a\textasciicircum{}n\textasciicircum{} · b\textasciicircum{}n\textasciicircum{}\{\{ac\}\}} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{(a/b)\textasciicircum{}n\textasciicircum{} = a\textasciicircum{}n\textasciicircum{} / b\textasciicircum{}n\textasciicircum{}\{\{ac\}\}} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{a\textasciicircum{}m/n\textasciicircum{} = ⁿ√a\textasciicircum{}m\textasciicircum{}\{\{ac\}\}} \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{a\textasciicircum{}-n\textasciicircum{} = 1 / a\textasciicircum{}n\textasciicircum{}\{\{ac\}\}} \tn % Row Count 7 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{a\textasciicircum{}0\textasciicircum{} = 1\{\{ac\}\}} \tn % Row Count 8 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}