I took the SAT before the format changed dramatically, while it was on a 1600 point scale rather than a 2400 point scale. Back then, I took it twice, scoring a 770 Math/550 Verbal the first time, and a 780 Math/660 Verbal the second time.
The reason my verbal score improved is because I had a learning disorder, and after another year of therapy I was able to rewire how my brain functions. It also improved because I studied Latin, which was helpful for analogies. Due to the 2005 changes, studying Latin is no longer that helpful since analogies were removed.
To be perfectly honest, I don't think the SAT is something you can really study for.
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