Links to free prep (most of these links are now broken, but the general advice is to go on libgen or use Khanacademy):
Khan academy SAT prep. There are practice tests as well as prep for specific abilities (e.g. quadratic functions).
Khan academy LSAT prep. Never tried it, but probably good.
GRE 5 lb book of problems (libgen). 1800 pages of GRE problems.
GRE vocabulary list (spreadsheet). Compilation of GRE vocabulary lists. Lots of overlap between lists, and most weird words on the real test are somewhere here.
MCAT prep materials (libgen).
The convention when giving advice on how to do well on these scholastic tests is to post your own scores. I don’t think this convention exists because high scorers score highly because of hard work and good advice, but because people with high scores are also likely to be people who give better advice.
My scores aren’t impressive, but still reasonably high:
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