Senior Year Course Selection Advise needed

What is the hard route? What math options are available and what science options are available? We have toured a LOT of T20 schools and the vast majority say (or even state on their website) that challenging oneself in all academic areas all 4 years is important, not just the areas you like or excel. So, if you want the best chance at T20s, take the hardest math and science options available at your school (with the understanding that without a GPA or scores, it is not clear if you are in the realm of competitive in the first place).