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Recently the checkmark and crossmark/xmark are useful when to write some materials of my own. But I found that it's difficult to get the checkmark and crossmark/xmark matched very well with each other. With hard work I found some perfect solutions most of which are not found in the site and of which few occurred in some posts, for example here.
Here we collect different solutions, and so any solution is welcome!
I define 1 set of checkmark and crossmark/xmark, and choose 16 sets of those which are already existed in the TeX symstems. The no 1-14 sets are in serif shape, and the no 15-17 sets are in sans serif shape. Since all of them are perfect in the shape and line weight, you can choose anyone as you like or matched well with the fonts used. The following is a summary.
\documentclass{article}
\usepackage[papersize={300mm,300mm},top=20mm,bottom=20mm,left=20mm,right=20mm]{geometry}
\usepackage{caption,multirow}
\usepackage[T1]{fontenc}%make \texttt work on \textbraceleft
\usepackage{amssymb}
\usepackage{graphics}
%\checked from wasysym
\makeatletter
\def\wasyfamily{\fontencoding{U}\fontfamily{wasy}\selectfont}
\def\checked{\mbox{\wasyfamily\char8}}
\makeatother
%\checkmark from MnSymbol
\makeatletter
\DeclareFontFamily{U}{MnSymbolC}{}
\DeclareFontShape{U}{MnSymbolC}{m}{n}{
<-6> MnSymbolC5
<6-7> MnSymbolC6
<7-8> MnSymbolC7
<8-9> MnSymbolC8
<9-10> MnSymbolC9
<10-12> MnSymbolC10
<12-> MnSymbolC12}{}
\DeclareFontShape{U}{MnSymbolC}{b}{n}{
<-6> MnSymbolC-Bold5
<6-7> MnSymbolC-Bold6
<7-8> MnSymbolC-Bold7
<8-9> MnSymbolC-Bold8
<9-10> MnSymbolC-Bold9
<10-12> MnSymbolC-Bold10
<12-> MnSymbolC-Bold12}{}
\DeclareSymbolFont{MnSyC}{U}{MnSymbolC}{m}{n}
\DeclareMathSymbol{\mncheckmark}{\mathord}{MnSyC}{160}
\makeatother
%\checkmark from fdsymbol
\makeatletter
\DeclareFontFamily{U}{FdSymbolA}{}
\DeclareFontShape{U}{FdSymbolA}{m}{n}{<-> s * FdSymbolA-Book}{}
\DeclareSymbolFont{fdsymbols}{U}{FdSymbolA}{m}{n}
\DeclareMathSymbol{\fdcheckmark}{\mathord}{fdsymbols}{"B3}
\makeatother
%checkmark and crossmark from arevmath
%\usepackage{graphics}
\makeatletter
\DeclareSymbolFont{extraup}{U}{zavm}{m}{n}
\DeclareMathSymbol{\ballotcheck}{\mathalpha}{extraup}{128}%uni2713
\DeclareMathSymbol{\ballotx}{\mathalpha}{extraup}{129}%uni2717
\makeatother
%\checkmark from boisik
%\usepackage[OT1]{fontenc}%to use xelatex and also permits to use latex
\makeatletter
\DeclareFontEncoding{LBM}{}{}
\DeclareFontFamily{LBM}{bskms}{\skewchar\font130 }
\DeclareFontShape{LBM}{bskms}{m}{n} {<-> bskms10}{}
\DeclareSymbolFont{bsksymbols}{LBM}{bskms}{m}{n}
\DeclareMathSymbol{\bskcheckmark}{\mathord}{bsksymbols}{"EF}
\makeatother
\usepackage{pifont}
\usepackage{utfsym}
%\checkmark from stix
\makeatletter
\DeclareFontEncoding{LS2}{}{\noaccents@}
\DeclareFontSubstitution{LS2}{stix}{m}{n}
\DeclareSymbolFont{arrows3}{LS2}{stixtt}{m}{n}
\SetSymbolFont{arrows3}{bold}{LS2}{stixtt}{b}{n}
\DeclareMathSymbol{\stcheckmark}{\mathord}{arrows3}{"82}
\makeatother
\usepackage{bbding}
\usepackage{twemojis}
\usepackage{fontawesome}
%https://tex.stackexchange.com/a/369089/140814 for a solution to use xelatex
%\checkmark from dingbat
\makeatletter
\DeclareFontFamily{U}{dingbat}{}
\DeclareFontShape{U}{dingbat}{m}{n}{<-> dingbat}{}
\newcommand{\dingbatfamily}{\fontencoding{U}\fontfamily{dingbat}\selectfont}
\newcommand{\dingbat@sym}[1]{{\dingbatfamily\symbol{#1}}}
\newcommand{\dbcheckmark}{\dingbat@sym{'104}}
\makeatother
\begin{document}
\begin{table}\centering
\renewcommand{\arraystretch}{2}
\caption*{Different Checkmarks and Crossmarks/Xmarks}
\begin{tabular}{l|lc|cl|l}
\hline
\multirow{2}{*}{No}&\multicolumn{2}{c|}{Checkmarks}&\multicolumn{2}{c|}{Crossmarks/Xmarks}&\multirow{2}{*}{Packages}\\\cline{2-5}
&Code&Output&Output&Code& \\\hline
1&\verb|\raisebox{0.6ex}{\scalebox{0.7}{$\sqrt{}$}}|&\raisebox{0.6ex}{\scalebox{0.7}{$\sqrt{}$}}&\scalebox{0.85}[1]{$\times$}&\verb|\scalebox{0.85}[1]{$\times$}|&\verb|amssymb|/\verb|amsmath|, \verb|graphics|\\\hline%\multirow{5}{*}{}
2&\verb|$\checked$|&$\checked$&\multirow{5}{*}{\scalebox{0.75}{\usym{2613}}}&\multirow{5}{*}{\texttt{\textbackslash scalebox\{0.75\}\{\textbackslash usym\{2613\}\}}}&\verb|wasysym|, \verb|utfsym|\\\cline{1-3}\cline{6-6}
3&\verb|$\checkmark$|&$\mncheckmark$&&&\verb|MnSymbol|, \verb|utfsym|\\\cline{1-3}\cline{6-6}
4&\verb|$\checkmark$|&\checkmark&&&\verb|amssymb|/\verb|amsmath|, \verb|utfsym|\\\cline{1-3}\cline{6-6}
5&\verb|$\checkmark$|&$\fdcheckmark$&&&\verb|fdsymbol|, \verb|utfsym|\\\cline{1-3}\cline{6-6}
6&\verb|\usym{1F5F8}|&\usym{1F5F8}&&&\verb|utfsym|\\\hline
7&\verb|$\ballotcheck$|&$\ballotcheck$&\multirow{2}{*}{\scalebox{0.75}{$\ballotx$}}&\multirow{2}{*}{\texttt{\textbackslash scalebox\{0.75\}\{\$\textbackslash ballotx\$\}}}&\verb|arevmath|\\\cline{1-3}\cline{6-6}
8&\verb|$\checkmark$|&$\bskcheckmark$&&&\verb|fontenc|, \verb|boisik|, \verb|arevmath|\\\hline
9&\verb|\ding{51}|&\ding{51}&\ding{55}&\verb|\ding{55}|&\verb|pifont|\\\hline
10&\verb|\usym{2713}|&\usym{2713}&\multirow{2}{*}{\usym{2717}}&\multirow{2}{*}{\texttt{\textbackslash usym\{2717\}}}&\verb|utfsym|\\\cline{1-3}\cline{6-6}
11&\verb|$\checkmark$|&$\stcheckmark$&&&\verb|stix|, \verb|utfsym|\\\hline
12&\verb|\ding{52}|&\ding{52}&\ding{56}&\verb|\ding{56}|&\verb|pifont|\\\hline
13&\verb|\usym{2714}|&\usym{2714}&\usym{2718}&\verb|\usym{2718}|&\verb|utfsym|\\\hline
14&\verb|\CheckmarkBold|&\CheckmarkBold&\XSolidBrush&\verb|\XSolidBrush|&\verb|bbding|\\\hline
15&\verb|\twemoji{check mark}|&\twemoji{check mark}&\twemoji{multiply}&\verb|\twemoji{multiply}|&\verb|twemojis|\\\hline
16&\verb|\twemoji{\faCheck}|&\faCheck&\faTimes&\verb|\faTimes|&\verb|fontawesome|\\\hline
17&\verb|\checkmark|&\dbcheckmark&\raisebox{0.2ex}{\usym{1F5F4}}&\verb|\raisebox{0.2ex}{\usym{1F5F4}}|&\verb|dingbat|, \verb|utfsym|\\\hline
\end{tabular}
\end{table}
\end{document}
To use them conveniently, we could define some short and direct commands for the desired checkmark and crossmark/xmark. The following are the commands and output which are listed according to the no in the table.
No 1.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amssymb}
\usepackage{graphics}
\newcommand{\newcheckmark}{\raisebox{0.6ex}{\scalebox{0.7}{$\sqrt{}$}}}
\newcommand{\newcrossmark}{\scalebox{0.85}[1]{$\times$}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 2.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark from wasysym
\makeatletter
\def\wasyfamily{\fontencoding{U}\fontfamily{wasy}\selectfont}
\def\newcheckmark{\mbox{\wasyfamily\char8}}
\makeatother
%crossmark from utfsym
\usepackage{utfsym}
\newcommand{\newcrossmark}{\scalebox{0.75}{\usym{2613}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 3.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark from MnSymbol
\makeatletter
\DeclareFontFamily{U}{MnSymbolC}{}
\DeclareFontShape{U}{MnSymbolC}{m}{n}{
<-6> MnSymbolC5
<6-7> MnSymbolC6
<7-8> MnSymbolC7
<8-9> MnSymbolC8
<9-10> MnSymbolC9
<10-12> MnSymbolC10
<12-> MnSymbolC12}{}
\DeclareFontShape{U}{MnSymbolC}{b}{n}{
<-6> MnSymbolC-Bold5
<6-7> MnSymbolC-Bold6
<7-8> MnSymbolC-Bold7
<8-9> MnSymbolC-Bold8
<9-10> MnSymbolC-Bold9
<10-12> MnSymbolC-Bold10
<12-> MnSymbolC-Bold12}{}
\DeclareSymbolFont{MnSyC}{U}{MnSymbolC}{m}{n}
\DeclareMathSymbol{\newcheckmark}{\mathord}{MnSyC}{160}
\makeatother
%crossmark from utfsym
\usepackage{utfsym}
\newcommand{\newcrossmark}{\scalebox{0.75}{\usym{2613}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 4.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amssymb}
%\checkmark has been defined in amssymb
%crossmark from utfsym
\usepackage{utfsym}
\newcommand{\crossmark}{\scalebox{0.75}{\usym{2613}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\checkmark|&$\checkmark$&$\crossmark$&\verb|\crossmark|\\
\end{tabular}
\end{table}
\end{document}
No 5.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark from fdsymbol
\makeatletter
\DeclareFontFamily{U}{FdSymbolA}{}
\DeclareFontShape{U}{FdSymbolA}{m}{n}{<-> s * FdSymbolA-Book}{}
\DeclareSymbolFont{fdsymbols}{U}{FdSymbolA}{m}{n}
\DeclareMathSymbol{\newcheckmark}{\mathord}{fdsymbols}{"B3}
\makeatother
%crossmark from utfsym
\usepackage{utfsym}
\newcommand{\newcrossmark}{\scalebox{0.75}{\usym{2613}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 6.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from utfsym
\usepackage{utfsym}
%https://tex.stackexchange.com/q/640986/140814 for a solution to use xelatex
\newcommand{\newcheckmark}{\usym{1F5F8}}
\newcommand{\newcrossmark}{\scalebox{0.75}{\usym{2613}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 7.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from arevmath
%\usepackage{graphics}
\makeatletter
\DeclareSymbolFont{extraup}{U}{zavm}{m}{n}
\DeclareMathSymbol{\newcheckmark}{\mathalpha}{extraup}{128}%uni2713
\DeclareMathSymbol{\newcrossmark}{\mathalpha}{extraup}{129}%uni2717
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 8.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark from boisik
%\usepackage[OT1]{fontenc}%to use xelatex and also permits to use latex
\makeatletter
\DeclareFontEncoding{LBM}{}{}
\DeclareFontFamily{LBM}{bskms}{\skewchar\font130 }
\DeclareFontShape{LBM}{bskms}{m}{n} {<-> bskms10}{}
\DeclareSymbolFont{bsksymbols}{LBM}{bskms}{m}{n}
\DeclareMathSymbol{\newcheckmark}{\mathord}{bsksymbols}{"EF}
\makeatother
%crossmark from arevmath
\makeatletter
\DeclareSymbolFont{extraup}{U}{zavm}{m}{n}
\DeclareMathSymbol{\newcrossmark}{\mathalpha}{extraup}{129}%uni2717
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 9.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from pifont
\usepackage{pifont}
\newcommand{\newcheckmark}{\textrm{\ding{51}}}%
\newcommand{\newcrossmark}{\textrm{\ding{55}}}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 10.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\checkmark and crossmark from utfsym
\usepackage{utfsym}
\newcommand{\newcheckmark}{\usym{2713}}
\newcommand{\newcrossmark}{\usym{2717}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 11.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark from stix
\makeatletter
\DeclareFontEncoding{LS2}{}{\noaccents@}
\DeclareFontSubstitution{LS2}{stix}{m}{n}
\DeclareSymbolFont{arrows3}{LS2}{stixtt}{m}{n}
\SetSymbolFont{arrows3}{bold}{LS2}{stixtt}{b}{n}
\DeclareMathSymbol{\newcheckmark}{\mathord}{arrows3}{"82}
\makeatother
%crossmark from utfsym
\usepackage{utfsym}
\makeatletter
\newcommand{\newcrossmark}{\usym{2717}}
\makeatother
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 12.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from pifont
\usepackage{pifont}
\newcommand{\newcheckmark}{\textrm{\ding{52}}}%
\newcommand{\newcrossmark}{\textrm{\ding{56}}}%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 13.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from utfsym
\usepackage{utfsym}
\newcommand{\newcheckmark}{\usym{2714}}
\newcommand{\newcrossmark}{\usym{2718}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 14.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from bbding
\usepackage{bbding}
\newcommand{\newcheckmark}{\textrm{\CheckmarkBold}}
\newcommand{\newcrossmark}{\textrm{\XSolidBrush}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 15.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from twemojis
\usepackage{twemojis}
\newcommand{\newcheckmark}{\twemoji{check mark}}
\newcommand{\newcrossmark}{\twemoji{multiply}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 16. In PDFLaTeX
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%checkmark and crossmark from fontawesome
\usepackage{fontawesome}
%https://tex.stackexchange.com/a/369089/140814 for a solution to use xelatex
\newcommand{\newcheckmark}{\textrm{\faCheck}}
\newcommand{\newcrossmark}{\textrm{\faTimes}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
No 17.
\documentclass{article}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\checkmark from dingbat
\makeatletter
\DeclareFontFamily{U}{dingbat}{}
\DeclareFontShape{U}{dingbat}{m}{n}{<-> dingbat}{}
\newcommand{\dingbatfamily}{\fontencoding{U}\fontfamily{dingbat}\selectfont}
\newcommand{\dingbat@sym}[1]{{\dingbatfamily\symbol{#1}}}
\newcommand{\newcheckmark}{\textrm{\dingbat@sym{'104}}}
\makeatother
%crossmark from utfsym
\usepackage{utfsym}
\newcommand{\newcrossmark}{\raisebox{0.2ex}{\usym{1F5F4}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\begin{table}
\begin{tabular}{lccl}
\verb|\newcheckmark|&$\newcheckmark$&$\newcrossmark$&\verb|\newcrossmark|\\
\end{tabular}
\end{table}
\end{document}
