\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{Phoebe Zhang (Phoebe12)} \pdfinfo{ /Title (year-9-mathematics.pdf) /Creator (Cheatography) /Author (Phoebe Zhang (Phoebe12)) /Subject (Year 9 Mathematics 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{Year 9 Mathematics Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Phoebe Zhang (Phoebe12)} via \textcolor{DarkBackground}{\uline{cheatography.com/30133/cs/16011/}}} \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}Phoebe Zhang (Phoebe12) \\ \uline{cheatography.com/phoebe12} \\ \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 6th June, 2018.\\ 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} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Length}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528279135_dragoneye34_1480123197_5fin.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Volume}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528279110_dragoneye34_1480123175_4fin.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Area}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528279085_dragoneye34_1480123121_3f.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Capacity}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528279023_dragoneye34_1480122777_1.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Length of Segment}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528282411_length_of_line_segment.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Inequalities}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528281279_number-line-inequality-graph-example1.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Laws of Indices and Surds}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528282524_dragoneye34_1479800980_Capture (1).PNG}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Midpoint}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/phoebe12_1528282322_how-to-use-the-midpoint-formula_109725.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.54287 cm} x{3.43413 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Area}} \tn % Row 0 \SetRowColor{LightBackground} Trapezoid & A + (b1 + b2 ÷ 2)*h \tn % Row Count 1 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Volume}} \tn % Row 0 \SetRowColor{LightBackground} Cube & V = s\textasciicircum{}3\textasciicircum{} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Cuboid & V = lwh \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Prism & V = Bh \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} Cylinder & V = πr\textasciicircum{}2\textasciicircum{}h \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} Hollow Cylinder & V = πR\textasciicircum{}2\textasciicircum{}h-πr\textasciicircum{}2\textasciicircum{}h \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} Cone & V = 1/3*πr\textasciicircum{}2\textasciicircum{}h \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} Pyramid & V = 1/3*Bh \tn % Row Count 7 (+ 1) % Row 7 \SetRowColor{white} Sphere & V = 4/3*πr\textasciicircum{}3\textasciicircum{} \tn % Row Count 8 (+ 1) % Row 8 \SetRowColor{LightBackground} Hemisphere & V = 2/3*πr\textasciicircum{}3\textasciicircum{} \tn % Row Count 9 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.34379 cm} x{3.63321 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Surface Area}} \tn % Row 0 \SetRowColor{LightBackground} Cube & TSA = 6s\textasciicircum{}2\textasciicircum{} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Cuboid & TSA = 2(lw + lh + wh) \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Prism & TSA = 2B + ph \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} Cylinder & TSA = 2π\textasciicircum{}2\textasciicircum{} + 2πrh \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} Hollow Cylinder & TSA = 2πrh + 2πRh + 2(πR\textasciicircum{}2\textasciicircum{} - πr\textasciicircum{}2\textasciicircum{}) \tn % Row Count 6 (+ 2) % Row 5 \SetRowColor{white} Cone & TSA = πr\textasciicircum{}2\textasciicircum{} + πrs \tn % Row Count 7 (+ 1) % Row 6 \SetRowColor{LightBackground} Regular Pyramid & TSA = area of base + 1/2*ps \tn % Row Count 9 (+ 2) % Row 7 \SetRowColor{white} Square Pyramid & TSA = b\textasciicircum{}2\textasciicircum{} = 2bs \tn % Row Count 11 (+ 2) % Row 8 \SetRowColor{LightBackground} Sphere & TSA = 4πr\textasciicircum{}2\textasciicircum{} \tn % Row Count 12 (+ 1) % Row 9 \SetRowColor{white} \seqsplit{Hemisphere} & TSA = 3πr\textasciicircum{}2\textasciicircum{} \tn % Row Count 13 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{B = area of base \newline p = perimeter of base \newline h = height \newline R = radius of the outer surface \newline r = radius of the inner surface \newline s = slant height \newline b = length of the base} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Chapter 4 Summary}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{The gradient of a horizontal line (y = ...) has a gradient of zero.} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{The gradient of a vertical line (x = ...) has an undefined gradient.} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Perpendicular lines are at right angles. Their gradients m\textasciicircum{}1\textasciicircum{} and m\textasciicircum{}2\textasciicircum{} are such that m\textasciicircum{}1\textasciicircum{}m\textasciicircum{}2\textasciicircum{} = -1, i.e. m\textasciicircum{}2\textasciicircum{} = -1 ÷ m\textasciicircum{}1\textasciicircum{}} \tn % Row Count 7 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{y = mx passes through the origin, substitute x = 1 to find another point.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}