Links to free prep:
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. Given that most of the variation in scholastic ability is due to genes (~60% for grades, ~85% for IQ), chances are the people who got very high scores got them because of high levels of innate ability, not their great ideas on how to prepare for the test.
My scores aren’t impressive, but are still reasonably high:
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