Library / UKMT Grey Kangaroo /154 of 242

UKMT Grey Kangaroo, 2015

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

In the diagram, the centre of the top square is directly above the common edge of the lower two squares. Each square has sides of length $1$ cm. What is the area of the shaded region?

(A) $\frac{3}{4}$ cm $^2$ (B) $\frac{7}{8}$ cm $^2$ (C) $1$ cm $^2$ (D) $1\frac{1}{4}$ cm $^2$ (E) $1\frac{1}{2}$ cm $^2$

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.