PAT Cube Counting Practice
A free sample DAT Perceptual Ability Test Cube Counting question, drawn and checked by PATLens, with the answer below. Every PATLens question comes with a visual explanation of the right answer and of each wrong one.
How many cubes have exactly one of their sides painted?
Show the answer
The correct answer is B. In PATLens you also get a step-by-step visual explanation and why each other choice is wrong.
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How Cube Counting works on the PAT
A stack of identical cubes is painted on every exposed side (not the bottom). Count how many cubes have exactly a given number of painted sides.
Hidden cubes count too: every cube you cannot see is there to hold up the cubes above it.
Tips
- Make a quick tally of every cube and its painted sides before reading the questions.
- Remember the bottom faces are never painted.
- Hidden support cubes are easy to forget; count column by column.
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