Grad School

Good day, /sci/. Judging by the people who frequent here, I think this is as good a place as any to ask.

How difficult is it to get into grad school? I want to study mathematics, preferably at Purdue. To that end, I'm double majoring (math and stats) and have decent grades (3.8). I'm also involved in extra-curricular activities.

What, if anything, am I missing? I'm currently a 3rd year student, so I have time to implement recommendations if you have any.

OP here.

>>6
Yes, Grad school is for getting a MA or a Ph.D. Post-graduate school, if I understand correctly, is continuing education after a Ph.D. in the American terminology. I also realize that the amount of math I currently know is minuscule and I'll spend the next few years learning more which is why I was curious as to what 2 and 3 had in mind for research.

>>7
An internship or something similar sounds good, but I don't have any really marketable skills. Also, I've never had a job.

>>8
I've liked math since I was first exposed to it. In high school I was only able to take up through AP Calculus AB (for non-Americans a little more than Calculus I) due to what the schools offered. I was planning on being in engineer for a while and did my first year at university to that effect, but I realized I enjoy theoretical math and proofs more than memorizing a bunch of formulas to plug things in to.