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/AOS/Blair Test Prep (Medium). Target Time. 25-50 seconds.

An alien amoeba was created by removing or adding or removing 12 semicircles from a 6 unit square (see the figure below). What is the area of the amoeba. What is the perimeter of the amoeba? A nano virus created to invade and destroy the amoeba has a radius of 0.1 unit radius. How many nano viruses will be required to completely surround the planer amoeba?