At the corner of a cube, circular arcs are drawn as shown.

What fraction of the surface area of the cube is shaded?

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Sine, cosine, tangent. Regular polygons and circles. Fractions. 2D shapes and their properties. Circle properties and circle theorems. Pythagoras' theorem. Area - circles, sectors and segments. Creating and manipulating expressions and formulae. Mathematical reasoning & proof. Surface and surface area.