### Construct-o-straws

Make a cube out of straws and have a go at this practical challenge.

### Matchsticks

Reasoning about the number of matches needed to build squares that share their sides.

### Little Boxes

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

# Auditorium Steps

### 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.