\documentclass{article}
\usepackage{color}
\begin{document}
\color{red}
\noindent This page and the following two should appear on separate pages (as
opposed to superimposed on each other), and disappear when the
noshowsolutions option is present.

(In the real situation, the corresponding PDF would be a scan of a hand-written
solution.)

\fontsize{72}{72}\selectfont
\centering
Numerical 1 solution, page one
\newpage
\null\vskip\baselineskip
Numerical 1 solution, page two
\newpage
\null\vskip2\baselineskip
Numerical 1 solution, page three
\end{document}
