DAT DAT High-Yield Math Practice: Geometry & Ratios (step-by-step)

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Geometry and trigonometry have always been part of the DAT’s QR (Quantitative Reasoning) section.


In recent years, many students and educators have noticed a shift: these topics now tend to appear within applied word problems, rather than as straightforward, direct calculations. This often makes them more challenging and easy to overlook if you’re only practicing formula-based questions.


Here’s an example of a high-yield problem that blends geometry, ratios, and multi-step reasoning — exactly the kind of thinking you’ll need on test day:


A rectangle has a length-to-width ratio of 4:3.
If the perimeter of the rectangle is 42, what is the area of a circle whose diameter equals the length of the rectangle?

A) 18π
B) 28π
C) 38π
D) 16π
E) 36π

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