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/Algebra Problem for TJ/SAT/SHSAT Prep (Medium)

The figures below (not drawn to scale) show two triangles, ABC and PQT, and their corresponding base and height lengths in terms of X. What is the ratio of the area of the triangle PQT to the area of triangle ABC?