Many years ago when I was a wee lad, my mother volunteered me for the daughter of some friend of hers (or something) who was studying to be a shrink (or something) and had to practice administering this test on children (or something). Here is what I remember about the test.
All the questions were on cards that flipped over onto a little easel. I assumed that the backs of the cards contained instructions for the test-giver, as she would appear to read the backs before doing something.
One of the tests was identifying the patterns in number sequences. For example, the card would show (12, 15, 10, 13, 8) and I would have to say, “add three and subtract five.” These got progressively harder (I figured out all but two of them, I think.)
Another test involved small cubical blocks that had simple black and white patterns on them. (A side might be solid black or white, or have half black and half white, divided straight or diagonal, etc.) The card would contain a pattern or image which I had to construct with the blocks. The patterns got progressively harder and more blocks were added as we went along. (At one point I had to point out to her that I required three more blocks to make the pattern; she must not have been paying attention to the cheat sheets on the back of the cards. 
)
There was also a test where I had to identify the word or thing that didn’t belong in the group. (For example, “basketball, baseball, tennis ball, football.” The football is the only one that isn’t spherical.) These got increasingly difficult - the subtle difference of one item got harder and harder to identify.
Anyway, what the hell was that thing?