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Geometry Difficulty 1.2 Junior Find the answer Canada

Square $PQRS$ is divided into $16$ smaller congruent squares, as shown.What fraction of $PQRS$ is
shaded?

Pick one

Solution

Square $PQRS$ is made up of $16$ equal-sized small squares. Of these, $2$ are fully shaded and $8$ are half-shaded. This shading is equivalent to fully shading $2 + 8 \cdot \frac{1}{2} = 2 + 4 = 6$ of the $16$ small squares. Thus, square $PQRS$ is $\frac{6}{16} = \frac{3}{8}$ shaded.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.