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\author{ceyre}
\pdfinfo{
  /Title (9-maths-exam.pdf)
  /Creator (Cheatography)
  /Author (ceyre)
  /Subject (9 Maths Exam Cheat Sheet)
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\noindent
\begin{multicols}{3}
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    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{9 Maths Exam Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{ceyre} via \textcolor{DarkBackground}{\uline{cheatography.com/128194/cs/25017/}}}
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\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}ceyre \\
  \uline{cheatography.com/ceyre} \\
  \end{tabulary}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 3rd November, 2020.\\
   Updated 4th November, 2020.\\
   Page {\thepage} of \pageref{LastPage}.
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  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
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\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{x{1.84 cm} x{6.16 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Algebra Vocabulary}}  \tn
% Row 0
\SetRowColor{LightBackground}
Terms & A term is separated by a + or - sign \{\{nl\}\} E.g: 5x-3y+2 \{\{nl\}\} There are 3 terms in this equation: \{\{nl\}\}5x, -3y and 2 \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
\seqsplit{Coefficient} & The number in front. \{\{nl\}\}E.g: In the term 5y, y's coefficient is 5 \tn 
% Row Count 7 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Constant & Constant is the single number which does not have any letters or numbers attached to it. \tn 
% Row Count 10 (+ 3)
% Row 3
\SetRowColor{white}
Like terms & Terms including {\emph{exactly}} the same letter or combination of letters.\{\{nl\}\}E.g: 6p, 8p and 5p are like terms\{\{nl\}\}ab, 10ab and -2ab are like terms \tn 
% Row Count 15 (+ 5)
% Row 4
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Unlike terms & Terms which have different letters or combination of letters.\{\{nl\}\}E.g: 3x and 3y are unlike terms \tn 
% Row Count 19 (+ 4)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
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\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Simplifying Expressions}}  \tn
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{\bf{Rule}} & {\bf{Example}} \tn 
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\SetRowColor{white}
Any numbers in the expression are multiplied. & 5 X 6x = 30x \tn 
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Numbers are placed in front of letters when multiplying. & x X 3y = 3xy \tn 
% Row Count 7 (+ 3)
% Row 3
\SetRowColor{white}
If there is more than one letter they are written in \{\{nl\}\}alphabetical order.\{\{nl\}\}Numbers can be multiplied separately, then multiply letters. & 2q X 7p = 14pq\{\{nl\}\}\{\{nl\}\}6p X 3p\{\{nl\}\}= 6 X 3 X p X p\{\{nl\}\}=18p\textasciicircum{}2\textasciicircum{} \tn 
% Row Count 15 (+ 8)
% Row 4
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Like terms can be grouped together and then added or \{\{nl\}\}subtracted. \{\{nl\}\}{\bf{Remember}}, the + and - signs go with \{\{nl\}\}the terms on their {\emph{right}}. & Simplify:\{\{nl\}\}2x + y - x + 8y\{\{nl\}\}=(2x - x) + (y + 8y)\{\{nl\}\}= x + 9y \tn 
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\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
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\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Powers Rules}}  \tn
% Row 0
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p\textasciicircum{}4\textasciicircum{} means p multiplied by itself {\emph{four}} times & p\textasciicircum{}4\textasciicircum{} \{\{nl\}\}= p X p X p X p \tn 
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% Row 1
\SetRowColor{white}
Simplify as powers and then multiply by \{\{nl\}\}each other & x X x X y X y \{\{nl\}\}= x\textasciicircum{}2\textasciicircum{}y\textasciicircum{}2\textasciicircum{} \tn 
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% Row 2
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When multiplying expressions with the \{\{nl\}\}{\bf{same base}} (letter), we {\bf{add the powers}}. & x\textasciicircum{}2\textasciicircum{} X x\textasciicircum{}5\textasciicircum{} \{\{nl\}\}= x\textasciicircum{}2+5\textasciicircum{}\{\{nl\}\}=x\textasciicircum{}7\textasciicircum{} \tn 
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% Row 3
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When dividing expressions with the \{\{nl\}\}{\bf{same base}}, we can {\bf{subtract the powers}}. & 20x\textasciicircum{}4\textasciicircum{} ÷ 10x \{\{nl\}\}= 20x\textasciicircum{}4-1\textasciicircum{} ÷ 10\{\{nl\}\}=2x\textasciicircum{}3\textasciicircum{} \tn 
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\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
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\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Expanding}}  \tn
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\mymulticolumn{2}{x{8.4cm}}{Multiply each term in the brackets by the outside term.\{\{nl\}\}Then add together and simplify.} \tn 
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Examples: \{\{nl\}\}8(c + d - e)\{\{nl\}\}= 8 X c + 8 X d - 8 X e\{\{nl\}\}=8c + 8d - 8e & \{\{nl\}\}4x(2x - 5)\{\{nl\}\}=(4x X 2x) + (4x X -5)\{\{nl\}\}=8x\textasciicircum{}2\textasciicircum{} - 20x \tn 
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\mymulticolumn{1}{x{8.4cm}}{1) Find the Highest Common Factor (number that divides in all terms equally) of all terms.  Write this outside the brackets.} \tn 
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% Row 1
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\mymulticolumn{1}{x{8.4cm}}{2) Divide each term by the HCF, putting result in the brackets.} \tn 
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\mymulticolumn{1}{x{8.4cm}}{{\bf{Note:}} The HCF could be a number or a letter.} \tn 
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Solving Equations}}  \tn
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\mymulticolumn{1}{x{8.4cm}}{The goal of solving an equation is to get the {\bf{letter term}} on the {\bf{left}} of the = sign and the {\bf{number/value}} on the {\bf{right}}.\{\{nl\}\}{\bf{Remember}} if a number or term is moved across the equals, then you must use the opposite operation.} \tn 
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\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Converting Fractions, Decimals and Percentages}}  \tn
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Percentages represent an amount out of 100 & To convert, write the percentage as a fraction out of 100. \{\{nl\}\}E.g: 65\% = 65/100\{\{nl\}\} This can then be simplified by dividing both numbers by their HCF.\{\{nl\}\}65/100 = 13/20 \{\{nl\}\}(HCF of 65 and 100 is 5) \tn 
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Decimals ↔ Percentages & Decimal to Percentage: \{\{nl\}\}Divide \% by 100 (or move decimal point to the left by two places)\{\{nl\}\}65\% = 65 ÷ 100 = 0.65\{\{nl\}\}Percentage to Decimal:\{\{nl\}\}Multiply the decimal by 100 (or move decimal point to the right by two places)\{\{nl\}\}0.74 = 0.74 * 100 = 74\% \tn 
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Fractions to decimals & Divide the numerator by the denominator:\{\{nl\}\}2/3 = 2 ÷ 3 = 0.33333 \tn 
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% Row 3
\SetRowColor{white}
Decimals to fractions & Take the decimal as an amount out of 10, 100, 100 etc depending on how many decimal places:\{\{nl\}\}0.65 = 65/100 (2dp)\{\{nl\}\}0.625 = 625/1000 (3dp)\{\{nl\}\}From here you may be able to simplify further using HCF \tn 
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\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Calculating a Fraction or Percentage of an amount}}  \tn
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\mymulticolumn{1}{x{8.4cm}}{If calculating a fraction or percentage of an amount, multiply the amount by the fraction or percentage. \newline % Row Count 3 (+ 3)
For example: \newline % Row Count 4 (+ 1)
25\% of \$250 = \$250 X 25\% = \$62.50 \newline % Row Count 5 (+ 1)
1/3 of 300 = 300 X 1/3 = 100% Row Count 6 (+ 1)
} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\begin{tabularx}{8.4cm}{X}
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\begin{tabularx}{8.4cm}{X}
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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% That's all folks
\end{multicols*}

\end{document}