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Why do this problem?

It acts as a further extension to Wrapping Presents. It's an activity that is intended to give opportunities for those pupils to explore deeply using their intuition, flair and risk-taking skills.

Possible approach

As this is designed for the highest attaining, it might be presented as on the website or in a one-to-one situation, encouraging discussion between adult and pupil. This discussion could determine what kind of start suits the learner, for example it may be a model needs to be constructed, it may be a conversation about imagining it in the head, it may be a $2$D representation.
 

Key questions 

Tell me about this/your thinking.