\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{Aya.Rivera} \pdfinfo{ /Title (grade-10-science-reviewer-2nd-quarter.pdf) /Creator (Cheatography) /Author (Aya.Rivera) /Subject (Grade 10 Science Reviewer -2nd Quarter 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}{65A341} \definecolor{LightBackground}{HTML}{F5F9F3} \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{Grade 10 Science Reviewer -2nd Quarter Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Aya.Rivera} via \textcolor{DarkBackground}{\uline{cheatography.com/216193/cs/47189/}}} \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}Aya.Rivera \\ \uline{cheatography.com/aya-rivera} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 16th October, 2025.\\ Updated 16th October, 2025.\\ 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{0.66726 cm} x{1.24353 cm} x{1.12221 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{Pioneers of Electromagnetism}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Scientist} & Contribution & Key Concept \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} Hans \seqsplit{Christian} Oersted & Discovered that an electric current produces a magnetic field. & \seqsplit{Electromagnetism} link \tn % Row Count 6 (+ 4) % Row 2 \SetRowColor{LightBackground} \seqsplit{André-Marie} Ampère & Developed the mathematical relationship between electric current and the magnetic field (Ampère's Law). & Direction of Current \tn % Row Count 13 (+ 7) % Row 3 \SetRowColor{white} Michael Faraday & Discovered electromagnetic induction (a changing magnetic field produces an electric current). Invented the electric motor/generator principle. & \seqsplit{Electromagnetic} Induction \tn % Row Count 22 (+ 9) % Row 4 \SetRowColor{LightBackground} James Clerk Maxwell & Mathematically predicting EM waves and confirming light is an EM wave. & Unified Theory of \seqsplit{Electromagnetism} \tn % Row Count 27 (+ 5) % Row 5 \SetRowColor{white} \seqsplit{Heinrich} Hertz & Experimentally confirmed Maxwell's predictions by generating and detecting Radio Waves in his lab. & Experimental Confirmation of EM Waves \tn % Row Count 34 (+ 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}{⚡ Electromagnetic Waves}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\emph{EM Waves}} are disturbances that propagate through space and matter, transferring energy. They are produced by the vibration or acceleration of charged particles. \newline % Row Count 4 (+ 4) {\bf{Nature}}: They are transverse waves (vibrations are perpendicular to the direction of wave travel) and are non-mechanical (don't require a medium, can travel in a vacuum). \newline % Row Count 8 (+ 4) {\bf{Speed}}: All EM waves travel at the same speed in a vacuum: the Speed of Light ({\emph{c}} = approx. 3.0 x 10\textasciicircum{}8\textasciicircum{} m/s. \newline % Row Count 11 (+ 3) {\bf{Electric Field}} ({\emph{E}}) and {\bf{Magnetic Field}} ({\emph{B}}) are perpendicular to each other and to the direction of wave propagation.% Row Count 14 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{0.99557 cm} x{2.43743 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Electromagnetic Spectrum}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{EM Wave}} & {\bf{Practical Uses}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Radio Waves & Communication (AM/FM), TV, MRI, Radar \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} Microwaves & Cooking, Satellite communication, GPS, Wi-Fi \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} Infrared & Remote controls, Thermal imaging, Night vision, Heaters, Camera Autofocusing \tn % Row Count 8 (+ 3) % Row 4 \SetRowColor{LightBackground} Visible Light & Seeing, Photosynthesis, Fiber Optics \tn % Row Count 10 (+ 2) % Row 5 \SetRowColor{white} \seqsplit{Ultraviolet} Rays & Sterilization, Tanning beds, Checking Bankbook signature, Detecting counterfeit money \tn % Row Count 14 (+ 4) % Row 6 \SetRowColor{LightBackground} X-Rays & Medical imaging, Security scans \tn % Row Count 16 (+ 2) % Row 7 \SetRowColor{white} Gamma Rays & Cancer treatment (radiotherapy), Sterilization of equipment, Checking inside of steel oil pipe, Water sterilization \tn % Row Count 21 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{The Electromagnetic Spectrum}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760618209_Picture3.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Properties of EM Waves}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760608456_Picture4.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Characteristics of EM Waves}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760618295_Picture2.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Law of Reflection}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\bf{Law of Reflection}} \newline % Row Count 1 (+ 1) 1. The incident ray, the reflected ray, and the normal (a line perpendicular to the surface at the point of incidence) all lie in the same plane. \newline % Row Count 4 (+ 3) 2. The angle of incidence (Angle i) is equal to the angle of reflection (Angle r).% Row Count 6 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Images on Plane Mirrors}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\bf{Location}}: distance from mirror to image is equal to distance from mirror to object. \newline % Row Count 2 (+ 2) {\bf{Orientation}}: always {\emph{upright}} \newline % Row Count 3 (+ 1) {\bf{Size}}: same size as the object \newline % Row Count 4 (+ 1) {\bf{Type}}: always {\emph{virtual}} \newline % Row Count 5 (+ 1) - Image formed in a plane mirror is {\bf{Laterally Inverted}} - left and right are switched. \newline % Row Count 7 (+ 2) {\bf{Multiple Reflections}} \newline % Row Count 8 (+ 1) To calculate the number of images that are formed we place the plane mirrors tilted at an angle to each other, using the formula: \newline % Row Count 11 (+ 3) {\emph{N}} = (360/{\emph{angle}}) - 1 \newline % Row Count 13 (+ 2) where: {\emph{N}} is the number of images formed. \newline % Row Count 14 (+ 1) If the mirrors are parallel (facing each other), they form an infinite number of images.% Row Count 16 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.78858 cm} x{1.03122 cm} x{1.2132 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{3.833cm}}{\bf\textcolor{white}{Curved Mirrors / Spherical Mirrors}} \tn % Row 0 \SetRowColor{LightBackground} Concave / \seqsplit{Converging} Mirror & Curves inward (like an inverted C) & Depends on object position; can be Real/Virtual, \seqsplit{Inverted/Upright}, \seqsplit{Magnified/Reduced} \tn % Row Count 6 (+ 6) % Row 1 \SetRowColor{white} Convex / Diverging Mirror & Curves outward (like the letter C)) & Always {\bf{Virtual}}, {\bf{Upright}}, and {\bf{Smaller}} \tn % Row Count 9 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}---} \SetRowColor{LightBackground} \mymulticolumn{3}{x{3.833cm}}{Uses of Concave Mirrors: \newline Used in Dentistry, Shaving mirrors, headlights, Astronomical telescopes, etc. \newline \newline Uses of Convex Mirrors: \newline Side-view \& Rear-view mirrors, Security Mirror (in grocery stores etc.), Traffic Mirrors, ATM convex mirror, etc.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Ray Model of Light}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760620561_licensed-image.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Key Terms (Curved Mirrors)}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{{\bf{Center of Curvature}} ({\emph{C}}): center of the sphere from which the mirror section is taken. \newline % Row Count 2 (+ 2) {\bf{Focus}} or {\bf{Focal Point}} ({\emph{F}}): point where parallel rays converge ({\bf{concave}}) or appear to diverge from ({\bf{convex}}). \newline % Row Count 5 (+ 3) {\bf{Principal Axis}}: the line passing through {\emph{C}} and {\emph{F}}. \newline % Row Count 7 (+ 2) {\bf{Vertex E}} ({\emph{V}}/{\emph{E}}): the center of the mirror. \newline % Row Count 8 (+ 1) {\bf{Focal Length}} ({\emph{f}}): distance from {\emph{F}} to the {\emph{vertex E}}.% Row Count 10 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Real vs Virtual Image}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760617879_Picture7.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{IMAGE FORMATION IN A CONCAVE MIRROR}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760618023_Screenshot 2025-10-16 203248.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{IMAGE FORMATION IN A CONVEX MIRROR}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/aya-rivera_1760618082_Screenshot 2025-10-16 203304.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Curved Mirrors / Spherical Mirrors}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{A {\emph{curved mirror}} is a reflecting surface in which the reflective surface is a section of sphere. There are two kinds of curved mirrors, the concave and the convex mirrors. A spoon is a kind of a curved mirror with both concave and convex mirror.% Row Count 5 (+ 5) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}