Chance Me: CA resident, 3.99 GPA (4.00/4.20/4.68 for UC, 4.14 for CSU), 1600 SAT, 1520 PSAT, computer engineering, applied math [home schooled with many college courses]

UC tuition without fees or housing is $14K/yr. Regents scholarships are extremely competitive. They range from $2K - $10K/yr depending on the campus. You can find more info on this thread comparing UC scholarships

Since OP looks like they will be a NMSF, if they are admitted to USC, they will receive the half-tuition Presidential Scholarship. The full-tuition Trustee scholarship is not related to NM and is extremely competitive.

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