p-adic wrote:When I was applying to Math Ph.D. programs, I would have said retake if you get under 780, which is like a 163.
Honestly you should be able to get 165+ in your sleep if you're ready for a Math Ph.D. You should be better at math than 90% of people applying to graduate school in general (not just quantitative programs).
Hmm I do not really agree with your statement; this is high school material so you do not have any particular advantage compared to say a physicist. I feel that if you have any (semi-) quantitative background, then the name of the game is to avoid careless mistakes (and be aware of questions in which you are particularly likely to make such). To avoid these, you will have to practice a bit. But yes, once you have done the 2 official PowerPrep II mock tests, and maybe another 50 practice questions, then as a math major even a 170 is relatively easy (as long as you can focus for 4 hours).