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How predictive is PSAT scores of the SAT
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So the PSAT is from my understanding a lot more “elite” than the regular SAT as it is more prep-y and is more available to upper part of the socioeconomic group. So as a lower middle class background I was surprised to score in the top 20% (rising junior) despite having a 1110 which is roughly a 1250 on the SAT. Is this normal I know I’m a fairly good student with a 3.9 cumulative gpa but I really was surprised to score this high.

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I don't really see it as an elite test. My public school system which has a high percentage of people on free/reduced lunch pays for everyone to take it. Most standardized tests have a correlation between higher income and higher scores but that doesn't mean you have to be "elite" in order to score well. To answer your question, it depends on how much you study after and if you consider yourself a naturally good test taker. Either way you should take a practice test or two. I think the predicted SAT score from the PSAT tends to be a little bit lower than your actual SAT from my experience.

From my experience you sat score if you try the same as you did on the PSAT and did no extra studying your PSAT score plus 60-80 will be your SAT score without much extra work. For example if you get a 1000 on your PSAT, without any extra work or studying you'll get around a 1060-1080 on your SAT.
I knew there was a slight increase but did not know if I could expect 100-130 point increase as I got the equivalent of a 1230 SAT/26 ACT on the PSAT and I am aiming for a 31 ACT plus I am having trouble using SAT numbers as I primarily use ACT in the midwest
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I went from a 1430 to a 1570 with 1 month in between the test dates. Of course I studied but it is very possible to get that increase if you study well.