Would they ace it? For those of you who don't know The Putnam is the hardest math test for undergrad students. The test has 120 points but most only score a few.
s2+c2=1 // for sin^2(a) + cos^2(a) = 1 1+t2=s2 // for 1 + tan^2(a) = sec^2(a) sab=sacb+casb // for sin(a+b) = sin(a)cos(b) + cos(a)sin(b) cab=cacb-sasb // cos(a+b) = cos(a)cos(b) - sin(a)sin(b)
While I can't answer your question, I realize it would probably depend on the math lecturer and what he taught regularly. As we progress in our math studies, the math we learn in grade school is child's play to us now. Following that extension if your job is to teach higher level math then that math will be child's play to you and you should easily be able to do the problems you routinely assign to your students. I'm sure this would be true of the Putnam.