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.

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