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 Hard Algebra-Geometry Problem. Target Time 30-120 seconds.

If a large cube with a diagonal of 8 units is subdivided into 8 smaller congruent cubes, by dividing each of its edges into two equal segments, 1) what is the length of the diagonal of the smaller cube  2) what is the area of each face of the smaller cubes?