\documentclass{book}
%compile twice

\usepackage{xassoccnt}
\NewTotalDocumentCounter{totalfigures}
\NewTotalDocumentCounter{totaltables}
\NewTotalDocumentCounter{appendixchapters}
\DeclareAssociatedCounters{figure}{totalfigures}
\DeclareAssociatedCounters{table}{totaltables}
\NewTotalDocumentCounter{totalpages}
\DeclareAssociatedCounters{page}{totalpages}

\makeatletter
\DeclareAssociatedCounters{page}{totalpages}
\AtBeginDocument{%
  \addtocounter{xassoccnt@total@totalpages}{1}
}
\makeatother

\begin{document}

There are \TotalValue{totalfigures} figures in this document

There are \TotalValue{totaltables} tables in this document

There are \TotalValue{appendixchapters} appendix chapters in this document

There are \TotalValue{totalpages} pages in this document
\chapter{First}

\begin{figure}
  \caption{Figure foo \thefigure}
\end{figure}

\begin{table}
  \caption{Table foo \thetable}
\end{table}

\begin{table}
  \caption{Table foo \thetable}
\end{table}

\begin{table}
  \caption{Table foo \thetable}
\end{table}


\chapter{Second}


\begin{figure}
  \caption{Figure foo \thefigure}
\end{figure}

\begin{figure}
  \caption{Figure foo \thefigure}
\end{figure}


\begin{table}
  \caption{Table foo \thetable}
\end{table}

\begin{table}
  \caption{Table foo \thetable}
\end{table}

\begin{table}
  \caption{Table foo \thetable}
\end{table}


\appendix

\AddAssociatedCounters{chapter}{appendixchapters}

\chapter{Foo Appendix}
\chapter{FooBar Appendix}

\begin{table}
  \caption{Table foo \thetable}
\end{table}

\begin{table}
  \caption{Table foo \thetable}
\end{table}

\begin{table}
  \caption{Table foo \thetable}
\end{table}


\end{document}