### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

### Fencing Lambs

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.

### Lawn Border

If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?

# Shapes on the Playground

##### Stage: 2 Challenge Level:

Sally and Ben went outside the school to draw some very large shapes on the tarmac. None of the shapes they drew shared any sides with any other shape - they were all drawn separately although some small shapes were inside larger shapes. The children each had a box of ten sticks of chalk. Each stick drew $10$ metres before it was quite worn away. They both drew shapes with all sides one metre long.

Sally drew squares and octagons, sixteen shapes altogether, and used up all her chalk.

How many of each shape did she draw?

Ben drew triangles, hexagons and squares. He drew $20$ shapes and still had two sticks of chalk left. How many of each shape did he draw?