Question on math/chem PhD

<p>Here's my situation. I will soon finish a degree in math and chemistry with what is looking to be a 4.0 GPA. I am trying to make a decision between graduate school and professional school. When I started the program, I was sure I would go on to do a math PhD and this is still an option. I have enough of an interest in chemistry and my grades were good enough to have that as an option too. This is where I'm split though. I've felt throughout my undergrad times that most of my classes were substantive and well taught. But I've also spent a lot of time on places like MIT's open courseware site and looked at some of the questions on their calculus exams, for example. While I can do many of the problems, I wonder about the implications of the ones that I could not do and if that should have any bearing on if I should do a math PhD. Friends and family say I'm being too hard on myself but I am trying to understand at what level I should be at to do a math PhD. Great grades, perfect GRE quant, solid subject test, but I'm still doubting myself. </p>

<p>If I opted for the chem PhD, I'd be probably settling. I don't know that I'm as passionate about that as the other options. I'd probably rather go to dental school, which is my professional school option, than do that. A life of chasing grant money and spending hours in a lab probably isn't what I want to do. So I'm not sure if any of this makes sense but I'd appreciate any thoughts that anyone had.</p>