### Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

### Construct-o-straws

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

### Cereal Packets

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

# Dicey

## Dicey

A game has a special dice with a colour patch on each face.

These three pictures show different views of the same dice.

What colour is opposite Blue?

### Why do this problem?

This activity can offer different possibilities for pupils according to their capabilities. It can be presented with the idea of challenging pupils to find ways of solving the problem, but at a higher level, pupils could be challenged to visualise the whole problem without the use of resources.

### Possible approach

At the "earlier level" you could start by showing just one view, from only two sides and the top:

Explain that there are six different colours altogether - blue, green, yellow, red, orange and purple - and discuss where the colours might go. Then present the challenge in full.

For the more advanced pupils then nothing more than what is written in the problem will be needed.

### Key questions

How do you know that colour goes there?
Tell me about the colours you've decided on.

### Possible extension

Encourage the pupils to ask the question, "I wonder what would happen if ... ( I changed one of the things about this challenge)?"

### Possible support

You could provide pupils with blank small cubes and coloured stickers, and skeletal drawings of blank cubes, to help with possible recording methods: