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 Question for TJ/AOS/Blair/SHSAT Test Prep (Difficult). Target Time. 35-80 seconds.

A circle O with radius 6 unit is drawn. If the sector AOB (120 deg) is removed and the remainder of the circle is folded into a cone such as O becomes the vertex of the cone. What is the volume of the cone. [Hints. Vol of a cone = 1/3 Pi r^2h and you can imagine a pizza with 6 slices from which 2 slices have been removed, now imagine you are folding this virtual (imagined) leftover pizza into a cone.]