\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{Yashwin (Yashwin)} \pdfinfo{ /Title (middle-school-math-competition-cram-sheet.pdf) /Creator (Cheatography) /Author (Yashwin (Yashwin)) /Subject (Middle School Math Competition Cram Sheet 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}{FF6100} \definecolor{LightBackground}{HTML}{FFF5EF} \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{Middle School Math Competition Cram Sheet Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Yashwin (Yashwin)} via \textcolor{DarkBackground}{\uline{cheatography.com/204683/cs/43653/}}} \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}Yashwin (Yashwin) \\ \uline{cheatography.com/yashwin} \\ \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 14th June, 2024.\\ 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}{x{0.81623 cm} p{0.65825 cm} x{0.89522 cm} p{0.2633 cm} } \SetRowColor{DarkBackground} \mymulticolumn{4}{x{3.833cm}}{\bf\textcolor{white}{Exponents}} \tn % Row 0 \SetRowColor{LightBackground} Squares & Cubes & Powers of 2 & \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} 11\textasciicircum{}2 = 121 & 1\textasciicircum{}3 = 1 & 2\textasciicircum{}0 = 1 & \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} 12\textasciicircum{}2 = 144 & 2\textasciicircum{}3 = 8 & 2\textasciicircum{}1 = 2 & \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} 13\textasciicircum{}2 = 169 & 3\textasciicircum{}3 = 27 & 2\textasciicircum{}2 = 4 & \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} 14\textasciicircum{}2 = 196 & 4\textasciicircum{}3 = 64 & 2\textasciicircum{}3 = 8 & \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} 15\textasciicircum{}2 = 225 & 5\textasciicircum{}3 = 125 & 2\textasciicircum{}4 = 16 & \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} 16\textasciicircum{}2 = 256 & 6\textasciicircum{}3 = 216 & 2\textasciicircum{}5 = 32 & \tn % Row Count 7 (+ 1) % Row 7 \SetRowColor{white} 17\textasciicircum{}2 = 289 & 7\textasciicircum{}3 = 343 & 2\textasciicircum{}6 = 64 & \tn % Row Count 8 (+ 1) % Row 8 \SetRowColor{LightBackground} 18\textasciicircum{}2 = 324 & 8\textasciicircum{}3 = 512 & 2\textasciicircum{}7 = 128 & \tn % Row Count 9 (+ 1) % Row 9 \SetRowColor{white} 19\textasciicircum{}2 = 361 & 9\textasciicircum{}3 = 729 & 2\textasciicircum{}8 = 256 & \tn % Row Count 10 (+ 1) % Row 10 \SetRowColor{LightBackground} 20\textasciicircum{}2 = 400 & 10\textasciicircum{}3 = 1000 & 2\textasciicircum{}9 = 512 & \tn % Row Count 12 (+ 2) % Row 11 \SetRowColor{white} & & 2\textasciicircum{}10 = 1024 & \tn % Row Count 13 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}----} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.75825 cm} p{1.12221 cm} p{1.15254 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{Prime Numbers}} \tn % Row 0 \SetRowColor{LightBackground} 2 & 61 & 149 \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} 3 & 67 & 151 \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} 5 & 71 & 157 \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} 7 & 73 & 163 \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} 11 & 79 & 167 \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} 13 & 83 & 173 \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} 17 & 89 & 179 \tn % Row Count 7 (+ 1) % Row 7 \SetRowColor{white} 19 & 97 & 181 \tn % Row Count 8 (+ 1) % Row 8 \SetRowColor{LightBackground} 23 & 101 & 191 \tn % Row Count 9 (+ 1) % Row 9 \SetRowColor{white} 29 & 103 & 193 \tn % Row Count 10 (+ 1) % Row 10 \SetRowColor{LightBackground} 31 & 107 & 197 \tn % Row Count 11 (+ 1) % Row 11 \SetRowColor{white} 37 & 109 & 211 \tn % Row Count 12 (+ 1) % Row 12 \SetRowColor{LightBackground} 41 & 113 & 223 \tn % Row Count 13 (+ 1) % Row 13 \SetRowColor{white} 43 & 127 & 227 \tn % Row Count 14 (+ 1) % Row 14 \SetRowColor{LightBackground} 47 & 131 & 229 \tn % Row Count 15 (+ 1) % Row 15 \SetRowColor{white} 53 & 137 & \tn % Row Count 16 (+ 1) % Row 16 \SetRowColor{LightBackground} 59 & 139 & \tn % Row Count 17 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Prime Factorizations}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{2024 = 2\textasciicircum{}3 × 11 × 23} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2025 = 3\textasciicircum{}4 x 5\textasciicircum{}2} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{2026 = 2 x 1013} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2027 = 1 x 2027; Prime Number} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{2028 = 2\textasciicircum{}2 x 3 x 13\textasciicircum{}2} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2029 = 1 x 2029; Prime Number} \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{2030 = 2 × 5 × 7 × 29} \tn % Row Count 7 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{0.84924 cm} x{1.03122 cm} x{1.15254 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{Proportions}} \tn % Row 0 \SetRowColor{LightBackground} Fraction & Decimal & Percent \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} 1/2 & .50 & 50\% \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} 1/3 & .3̅̅ & 33.3̅ \% \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} 2/3 & .6̅ & 66.6̅ \% \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} 1/4 & .25 & 25\% \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} 3/4 & .75 & 75\% \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} 1/6 & .16̅ & 16.6̅ \% \tn % Row Count 7 (+ 1) % Row 7 \SetRowColor{white} 5/6 & .83̅ & 83.3̅ \% \tn % Row Count 8 (+ 1) % Row 8 \SetRowColor{LightBackground} 1/8 & .125 & 12.5\% \tn % Row Count 9 (+ 1) % Row 9 \SetRowColor{white} 3/8 & .375 & 37.5\% \tn % Row Count 10 (+ 1) % Row 10 \SetRowColor{LightBackground} 5/8 & .625 & 62.5\% \tn % Row Count 11 (+ 1) % Row 11 \SetRowColor{white} 7/8 & .875 & 87.5\% \tn % Row Count 12 (+ 1) % Row 12 \SetRowColor{LightBackground} 1/9 & .1̅ & 11.1̅ \% \tn % Row Count 13 (+ 1) % Row 13 \SetRowColor{white} 1/99 & .0̅1̅ & 1.0̅1̅ \% \tn % Row Count 14 (+ 1) % Row 14 \SetRowColor{LightBackground} 11/99 & .1̅1̅ & 11.1̅1̅ \% \tn % Row Count 15 (+ 1) % Row 15 \SetRowColor{white} 11/999 & .0̅1̅1̅ & 1.1̅ \% \tn % Row Count 16 (+ 1) % Row 16 \SetRowColor{LightBackground} 101/999 & .1̅0̅1̅ & 10.1̅ \% \tn % Row Count 17 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Pythagorean Theorem}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{a\textasciicircum{}2 + b\textasciicircum{}2 = c\textasciicircum{}2} \tn % Row Count 1 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}