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/SSAT/AOS/Blair/HSPT Prep (Difficult). Target Time 30-45 seconds.

Circles I and II have radii 8 and 4 respectively. A sector of A degrees is shaded in circle I and a sector of B degrees is shaded in circle II (see the figure below). If the shaded area in circle I = 1/4th of the shaded area in circle II, what is A:B ?

Note: If you carefully read the question and think, you can solve it in 15-20- seconds after reading it.

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