Maths Olympiad Prep

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Problem 131

Geometry Difficulty 1.1 Multiple choice CEMC Gauss (Grade 7) · Canada · 2019

In the diagram, square PQRSPQRS is divided into four identical squares.

Figure 0

What percentage of square PQRSPQRS is shaded?

Pick one

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Official solution

One of four identical squares is shaded and so the fraction of square PQRSPQRS that is shaded is 14\tfrac14 which is equivalent to 25%25\%.

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