> You don't go in cold for the SAT.
A lot of people do.
The mere idea that test taking is a skill which can be honed like any other is an upper middle class social marker. In the case of the SAT, striking out wrong answers is FAR faster than generating correct ones unless your are really good. That's a test taking skill.
My parents were both school teachers and even they didn't know all that much about the SAT--they knew what it was and made sure I ran some practice tests. My guidance counseler (normally a totally useless position at most schools), however, was an old dude who was used to the fact that children of steelworkers had no clue how to prep for college.
He pulled my parents (and others) aside in 9th grade (almost 2 YEARS before you take the SAT for real) and said: "Here is the schedule of tests (PSAT, SAT), etc. and the order in which your child needs to take them. Note that the scholarship score is TWO TIMES THE VERBAL plus the math. Here are the sample test resources your child needs. Here is the vocabulary resource your child needs--that defines your scholarship chances. Your child needs to drill math to not make stupid mistakes. Complete these at an even rate for the next couple years and your child will qualify for most scholarships and have no issue getting admitted to any college below Ivy level. If you really want to go to an Ivy, you need the scores, but we'll need to find you an alumnus to advocate for you in order to boost your chances."
That man created a LOT of first and second generation college graduates.