Here is a Math Placement test a student of mine was recently given by her prospective college. Take a look at the questions, then notice the directions; they were not allowed to use any sort of calculator. 40 mins. / 40 questions. This is a good example of where over-reliance on calculators for basic k-7 math can backfire.
Also, the AP Calculus exam has entire sections that do not allow the use of any type of calculator.