### Guess my Quad

How many questions do you need to identify my quadrilateral?

### Completing Quadrilaterals

We started drawing some quadrilaterals - can you complete them?

### Maxagon

What's the greatest number of sides a polygon on a dotty grid could have?

# Colourful Cube

##### Stage: 3 Challenge Level:

This cube is made up from $3\times 3\times 3$ little cubes whose faces are either all red or all yellow.

The views from all sides of the cube look like this, and the little cube in the centre is red.

How many little red cubes are used in total? How many little yellow cubes are used?

Suppose the other views of the cube do not necessarily look like this, and the little cube in the centre is not necessarily red.

What is the most and least number of little red cubes that could be used?

With thanks to Don Steward, whose ideas formed the basis of this problem.