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 Exam Prep. (Hard). Target Time.15-45 seconds.

The figure below shows three equilateral triangles ABC, APQ and QCR and a parallelogram such that the ratio of AQ to QC is 2:3. What are

1. The ratio of the area of AQP to the area of QCR?

2. What is the ratio of the area of QCR to the area of ABC?

3. What is the ratio of the area of PQBR to the area of ABC?

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