What Does a 1310 on PSAT Translate to on SAT?

Hi,

I scored a 1310 on the PSAT without any studying, and plan to prepare for the SAT for the next couple of months and over summer by utilizing prep books and a private tutor.

I am wondering how much people who take this same route improve on the SAT, and what I am likely to score after much studying. Thanks so much! Would love to hear about your personal experiences with this!

My D got a 1420 on her PSAT and a 1400 on her SAT, taken just 2 months later. She’s taking the SAT one more time for hopefully a few more points. She’s been studying with Khan Academy thus far.

About a 1380 from a purely mathematical conversion (which is pretty inaccurate but it serves as a basic approximation)