**GMAT Challenge Problems for Students Targeting a High Score**

The following practice problems are intended for students targeting a score of Q50/Q51. The majority of the problems are a step beyond GMAT, although many could be on the GMAT. All of the problems can be solved with the same concepts that are necessary for the GMAT. I have selected only those problems that are conceptually related to the quantitative section of the GMAT.

Many of these problems are difficult, and require a certain level of ingenuity. I recommend that you struggle with these problems and sharpen your problem solving skills. All of these problems come from the American Mathematics Competition and are of very high quality, and in my opinion better than the Official GMAT problems.