John Hopkin's Center for Talented Youth summer camps (aka nerd camp) have been offering the Spatial Test Battery as a qualification method since I was in middle school (~10 years ago). See http://cty.jhu.edu/ts/stb.html and for a sample subsection see http://cty.jhu.edu/ts/stbsampSD.html. I never took it (you could also take the SATs as well) but as a heavily technical person my brain does backflips of excitement solving the sample problems.
CTY was the first thing that came to my mind when I saw this article submission. I took the spatial test back in middle school and it was fairly difficult, but that's what's to love about CTY - they make everything challenging to get a true understanding of your strengths and weaknesses. K-12 and higher education could do worse than to mirror some of the aspects of CTY.