### Spot Thirteen

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

### Observing the Sun and the Moon

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

### Troublesome Triangles

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.

# National Flags

##### Age 7 to 11 Challenge Level:

During an Olympic Games many national flags are on display.

Here's a chance to investigate some of them.

Pick a flag and investigate some of the following:-

What shapes can you see in it?  Can you describe them and their angles?

Does the flag have any lines of reflective symmetry, if so how many lines?

Can you find any pairs of parallel lines?  If so mark them on your flag.

Are there any lines perpendicular to one another?

Can you find a way to classify the shapes in your flag?

Now try with another flag.

This problem was developed for us by Claire Willis.