I've gotten several comments stating that the problems I've been doing have been too simple, and that they want more of a challenge. For this reason, I have decided to skip some of the simpler problems on the test, and move on to a more challenging section.
Another change I will be making, is I will now be posting the next day's question at the bottom of each post, for those of you who want to try and do the problems by yourself.
Suppose a and b are single-digit positive integers chosen independently and at random. What is the probability that the point (a,b) lies above the parabola y=ax^2-bx.
Good luck! and remember, calculators are not allowed.