I am a senior at a top 20 undergraduate university majoring in math and physics. I am hoping to study math at the graduate level next year. I have a 3.5 GPA (3.3 in math) and have been doing undergraduate research for the past 2 years with an engineering firm in my hometown (mostly been writing computational software). Additionally, I work in the chemistry department at my school as a lab assistant and am a math tutor for several students. My recommenders should write me very good letters. I took the general GRE and got an 800 (94th percentile) on the quantitative and a 690 (96th percentile). I am applying to several top universities (top 20 graduate math programs) and several mid level universities (ranked ~50th graduate math programs). I am concerned because I just received my mathematics GRE subject test scores and they are terrible. I got a 510 (16th percentile). I was pretty blindsided by these scores since I studied relatively intensely and felt confident after the test. So I just want to know what are my chances of getting into graduate school despite these scores. I am looking for realistic expectations so don't feel like you have to be nice or gentle. Thanks!