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% Document Info
\author{kkim1207}
\pdfinfo{
  /Title (gre-prep.pdf)
  /Creator (Cheatography)
  /Author (kkim1207)
  /Subject (GRE Prep Cheat Sheet)
}

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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\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{GRE Prep Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{kkim1207} via \textcolor{DarkBackground}{\uline{cheatography.com/30129/cs/8926/}}}
\end{tabulary}
\end{multicols}}

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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}kkim1207 \\
  \uline{cheatography.com/kkim1207} \\
  \end{tabulary}
\vfill
\columnbreak
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 25th August, 2016.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
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\begin{multicols*}{4}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Math}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{4 types of Questions:}} \{\{nl\}\} 1. Problem Solving - multiple choice \{\{nl\}\} 2. Multiple Answer - Multiple choice with multiple correct answer choices \{\{nl\}\} 3. Numeric Entry - no answer choices provided \{\{nl\}\} 4. Quantitative Comparison - 4 answer choices to choose from (A is larger, B is larger, the 2 are equal, solution can't be determined)} \tn 
% Row Count 7 (+ 7)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Mental Math Tips:}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Dividing by 5:}} Double the \# you want to divide, then divide this number by 10.} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Quick mental multiplication:}} If multiplying with a large number, factor a 2 out of the large number and multiply it by the smaller number. Factoring out the 2 numbers you want to multiply can help simply the calculation.  \{\{nl\}\} Ex) 260 x 15 = (2)(15)(130) = \seqsplit{(30)(10)(13)=(3)(10)(10)(13)=} 3900\}\}} \tn 
% Row Count 8 (+ 6)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Squaring Shortcuts:}} \{\{nl\}\} 1. Multiples of ten: square the non-zero part of the number you want to square \{\{nl\}\} 2. Numbers ending in 5: The last 2 digits of the square will always be 25; remove the 5 and add 1 to the remaining digit (n), find the product of this number (n+1) and the non-five number (n) \{\{nl\}\} 3. Figuring out the square of (n+1): If we know n\textasciicircum{}2\textasciicircum{}, (n+1)\textasciicircum{}2\textasciicircum{} = n + (n+1) + n\textasciicircum{}2\textasciicircum{}} \tn 
% Row Count 16 (+ 8)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Multiples of 10:}} \{\{nl\}\}If multiplying by 10: move decimal to the right \{\{nl\}\} If dividing by 10: move decimal to the left} \tn 
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% Row 4
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\mymulticolumn{1}{x{3.833cm}}{Numbers can't be divided by 0} \tn 
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% Row 5
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\mymulticolumn{1}{x{3.833cm}}{0 divided by any number = 0} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quantitative Comparison}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Strategies:}} \{\{nl\}\} 1. You will only ever need to be able to estimate solutions; use math to simplify relationships between the 2 choices presented \{\{nl\}\} 2. Add or subtract X to both choices  \{\{nl\}\} 3. Multiply or divide by a positive number \{\{nl\}\} 4. You can decrease numerator or increase denominator to simplify fractions for estimation} \tn 
% Row Count 7 (+ 7)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Rounding}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{There is an infinite quantity of numbers between any 2 numbers on a number line.} \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Integer}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{A number written without a fractional component \{nl\}\} Ex) 21, 0, -2100} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{Examples of non-integers: 9.75, 5 1/2, 2\textasciicircum{}1/2\textasciicircum{}} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Properties of Real Numbers}}  \tn
% Row 0
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\mymulticolumn{1}{x{3.833cm}}{Assume a number is real if the questions refers to a "number".} \tn 
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% Row 1
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\mymulticolumn{1}{x{3.833cm}}{{\bf{Real Number:}} all numbers on the number line (positive, negative, or zero); can also include decimals} \tn 
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% Row 2
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\mymulticolumn{1}{x{3.833cm}}{{\bf{Zero:}} is neither positive or negative; the absolute value of zero = zero} \tn 
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% Row 3
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\mymulticolumn{1}{x{3.833cm}}{{\bf{Absolute value:}} the distance of a number from zero (origin on the number line)} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Order of Operations: PEMDAS}}  \tn
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\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Grouping Symbols:}} parentheses, brackets, square root sign, long fraction bar, exponents written as equations (ie x\textasciicircum{}y+7\textasciicircum{})} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Word Problems}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Key Words:}} \{\{nl\}\} 1. Is = equals \{\{nl\}\} 2. Of = multiply} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Data Interpretation}}  \tn
% Row 0
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\mymulticolumn{1}{x{3.833cm}}{1. Read all relevant text.} \tn 
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% Row 1
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\mymulticolumn{1}{x{3.833cm}}{2. Look at axis labels} \tn 
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% Row 2
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\mymulticolumn{1}{x{3.833cm}}{3. Look for trends in data: Repeated patterns, highs vs lows, increase vs decrease} \tn 
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% Row 3
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\mymulticolumn{1}{x{3.833cm}}{4. Pay attention to units mentioned in the question: they might not match the units on the graphs!} \tn 
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% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Types of graphs:}} \{\{nl\}\}1. Pie chart - usually paired with another chart \{\{nl\}\} 2. Line graph: usually has a horizontal axis (time) \{\{nl\}\} 3. Bar graph: bars will usually represent a category or interval of time \{\{nl\}\} 4. Scatter plot: used when each data point can be described by 2 numerical measurements. Positive correlation: if 1 variable increases, then the other will too.} \tn 
% Row Count 14 (+ 8)
% Row 5
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\mymulticolumn{1}{x{3.833cm}}{{\bf{Profit = Revenue - Loss}}} \tn 
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\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Remainder Problems}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{If the dividend is less than the divisor, then the remainder will be equal to the dividend. This is always the smallest positive dividend with this remainder.} \tn 
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\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Percents}}  \tn
% Row 0
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\mymulticolumn{1}{x{3.833cm}}{The test likes to ask about \% increase or decrease.} \tn 
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% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Simple interest:}} Unlikely to asked on test, but useful for making estimations. Concept where interest only paid on principle. Numbers will rise on a constant slope.} \tn 
% Row Count 6 (+ 4)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{{\bf{Compound Interest:}} Interest paid on principle \& interest previously accrued. No 2 consecutive payments will be the same. \{\{nl\}\} \{\{nl\}\} Ex) \$1000 deposited into account with 5\% compound interest. \{\{nl\}\} \{\{ac\}\} Year 1 = \$1000(1.05) = \$1050 \{\{nl\}\}\{\{ac\}\} Year 2 = \$1050(1.05) = \$1102.50} \tn 
% Row Count 12 (+ 6)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{3.833cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Ratios}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{3.833cm}}{When presented with a ratio problem, find a common variable between the 2 ratios.} \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}