I plan on taking the Math Level II and Physics SAT test. I have been struggling to find free papers and exercises. I'm trying to avoid buying the SAT II book because once I am done I would never use it again.
cracksat.net has the full subject tests in an online format, but as @crsgo0422 said, you can just type it up and get it.
I'd highly recommend getting a book if you can (specifically the Barron's book), but if you don't want to, www.cracksat.net is a good option.
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On the College Board website you can find free practice tests. Also, on Khan Academy you can find free material to prepare for the subject tests (they are not subject test courses specifically but it has lessons for algebra II, geometry, physics, etc. which have the same material with the subject test).
College Board links
Physics: https://collegereadiness.collegeboard.org/sat-subject-tests/subjects/science/physics
Math II: https://collegereadiness.collegeboard.org/sat-subject-tests/subjects/mathematics/mathematics-2
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I have to agree with @adri here. I tutored for a few years and www.cracksat.net was typically my go to if I needed subject tests (they're great for standard SAT tests and ACT tests too)! If you can afford getting a couple test books I would say that's the way to go but if that's not an option than cracksat.net is the next best thing.