\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{123456789ABCDEFGH} \pdfinfo{ /Title (math-basics.pdf) /Creator (Cheatography) /Author (123456789ABCDEFGH) /Subject (Math Basics 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}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \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{Math Basics Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{123456789ABCDEFGH} via \textcolor{DarkBackground}{\uline{cheatography.com/168857/cs/35337/}}} \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}123456789ABCDEFGH \\ \uline{cheatography.com/123456789abcdefgh} \\ \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 8th November, 2022.\\ 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*}{4} \begin{tabularx}{3.833cm}{p{0.73724 cm} p{0.71091 cm} p{0.5266 cm} p{0.65825 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Negatives}} \tn % Row 0 \SetRowColor{LightBackground} Adding & \seqsplit{Subtracting} & \seqsplit{Multiplying} & Dividing \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{(+)+(+)=(+)} & \seqsplit{(+)-(+)=(+)} & \seqsplit{(+)x(+)=(+)} & (+) ÷(+)= (+) \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} (-)+(-)=\textless{}(-) & \seqsplit{(-)-(-)=(-)+(+)} & \seqsplit{(-)x(-)=(+)} & (-) ÷(-)= (+) \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \seqsplit{(+)+(-)=(+)-(+)} & \seqsplit{(+)-(-)=(+)+(+)} & \seqsplit{(+)x(-)=(-)} & (+) ÷(-)= (-) \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} \seqsplit{(-)+(+)=(+)+(-)} & \seqsplit{(-)-(+)=(+)+(+)} & \seqsplit{(-)x(+)=(-)} & (-) ÷(+)=(-) \tn % Row Count 10 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.65825 cm} p{0.68458 cm} p{0.68458 cm} p{0.60559 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Properties}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Commutative} & \seqsplit{Associative} & Identity & Inverse \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \seqsplit{commutative} property states that the numbers on which we operate can be moved or swapped from their position without making any \seqsplit{difference} to the answer & \seqsplit{associative} property is a property of some binary \seqsplit{operations} & identity is an equality relating one \seqsplit{mathematical} \seqsplit{expression} to another & Inverse means the opposite in effect \tn % Row Count 18 (+ 16) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} p{0.65825 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Fractions}} \tn % Row 0 \SetRowColor{LightBackground} Adding & \seqsplit{Subtracting} & \seqsplit{Multiplying} & Dividing \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Find a common \seqsplit{denominator}. Add the \seqsplit{numerators} (and keep the \seqsplit{denominator)} Simplify the fraction. & Make sure the bottom numbers (the \seqsplit{denominators)} are the same. Subtract the top numbers (the \seqsplit{numerators)}. Put the answer over the same \seqsplit{denominator}. Simplify the fraction (if needed) & Multiply the two \seqsplit{numerators}. Then multiply the two \seqsplit{denominators}. Simplify the new \seqsplit{fractions.} & The first step to dividing fractions is to find the \seqsplit{reciprocal} (reverse the numerator and \seqsplit{denominator)} of the second fraction. Next, multiply the two \seqsplit{numerators}. Then, multiply the two \seqsplit{denominators}. Finally, simplify the fractions if needed. \tn % Row Count 27 (+ 25) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.06423 cm} x{2.36877 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Tools}} \tn % Row 0 \SetRowColor{LightBackground} Pi & \seqsplit{3.141592653589793238462643383279502} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Place Value & M HTH TTH T H T O . 1/10 1/100 1/1000 \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} Order of Operation & Brackets, Parentheses, Exponents, Add-Subtract, Multiply-Divide \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} Area & B·H=A \tn % Row Count 8 (+ 1) % Row 4 \SetRowColor{LightBackground} Volume & B·H·W=V \tn % Row Count 9 (+ 1) % Row 5 \SetRowColor{white} Prime (1-100) & 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97... \tn % Row Count 13 (+ 4) % Row 6 \SetRowColor{LightBackground} Composite (1-100) & 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100 \tn % Row Count 24 (+ 11) % Row 7 \SetRowColor{white} Square Root & x2 = y \tn % Row Count 25 (+ 1) % Row 8 \SetRowColor{LightBackground} Denominator & Bottom number of a fraction \tn % Row Count 26 (+ 1) % Row 9 \SetRowColor{white} Numerator & Top number of a fraction \tn % Row Count 27 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}