GK 2018 Q3
3. The faces of a cube are painted black, white or grey. Each face is only painted one colour and opposite faces are painted the same colour. Which of the following is a possible net for the cube?
Grey Kangaroo 2018, Question 3. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B
Each of the nets shown has two faces of each colour. The question tells us that the two faces are opposite each other, so they cannot have an edge in common. This eliminates all the nets except net B.
Solution © UK Mathematics Trust, from the GK 2018 solutions.