# Equal spacing between equations on a page

I am writing a short quiz for my students in LaTeX, however I am having trouble with the spacing. The two equations I have are:

 $\int sin^3(x)cos^{\frac{3}{2}}(x)dx$
\vspace{20pc}

$\int \frac{3x^2+2x+4}{(x-1)^2(x+1)} dx$


I use \vspace{20pc} to give a gap between both equations to give room for the students to solve it by hand. However, I want to have an equal amount of room on an entire page for both problems. I used \vfill thinking that would work but it simply puts both equations to the top of the page. Is there a way that LaTeX will automatically generate an equal spacing for both problems on a page?

• Welcome to TeX.sx! Commented Mar 12, 2013 at 3:36
• Take a look at mathexam package
– leo
Commented Mar 12, 2013 at 4:20
• @Corentin, thank you for the beginners tutorial Commented Mar 12, 2013 at 4:34
• @leo, that's a great package, however I am using a different one that does something similar. Commented Mar 12, 2013 at 4:35
• @Werner, That's exactly what I am after. Thank you for your help! Commented Mar 12, 2013 at 4:36

Inserting a vertical fill between each item would leave an equivalent gap between the questions and to the end of the page boundary:

\documentclass{article}
\begin{document}
\begin{enumerate}
\item $\displaystyle \int \sin^3(x)\cos^{\frac{3}{2}}(x)\,\mathrm{d}x$

\vfill

\item $\displaystyle \int \frac{3x^2+2x+4}{(x-1)^2(x+1)}\,\mathrm{d}x$

\vfill
\end{enumerate}
\end{document}