TJ Prep Problems

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

A Basic Geometry Problem for TJ Test/HSPT/SHSAT/SAT Prep. (Hard). Target Time. 35-50 seconds.

A toy train playground maker can choose from one of the two types of stakes for its fencing. Each stake is constructed from a strong alloy metal wire. Stake I combines a rectangle and a triangle whereas stake II combines a rectangle and a semi circle; dimension in units as shown. In making a fence that is 3600 units long, which stake will use less wire and by how many units ?