The “average” new SAT score (converted from old) for Princeton is 1540, and ideally, you should be above that if you are unhooked. The 75th percentile is (unfortuntely) 1600, so I’d say aim for a 1540 or above to be competitive. For Cornell, the average is a 1480. I’m not sure if 1200/1500 means you scored a 1200 out of 1520 on the new SAT and converted or not…however, as long as you’re not a rising senior, you definitely have enough time to boost it!
However, I totally agree with the other posters…there’s soo many other amazing schools out there besides those 8…so many…