TJ Prep Problems

TJ test prep practice problems  for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

A Geometry Problem for TJ Exam Prep. (Hard). Target Time. 20-35 seconds.

The figure below shows square ABCD and an inscribed  circle. The midpoints of the sides of ABCD are connected to make a smaller square. The region between the circle and the smaller square is shaded yellow. What is the ratio of the yellow area to the remaining area (white) inside ABCD ?

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