### Area and Perimeter

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

### Shaping It

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

# Factor Track

##### Age 7 to 14 Challenge Level:

Factor Track is not a race but a game of skill.
Below is a simple training version. The idea is to go round the track in as few moves as possible, keeping to the rules.

Rules:
You start on the (yellow) $60$ and must make your way round to the (red) 'end' square.
You can move any factor of the number you are on, except $1$.
You must land exactly on each green square, so you can't go round corners in one move.

Have a go at moving round this 'training' track following the rules.
Can you do it in fewer moves?

When you feel ready, try this more complicated track where there are possible short cuts. You will have to work out whether they are worthwhile.

You might find it easier to print out this larger copy of the track which also has the rules on it.

You can do this on your own or with a friend. Who can get round in the least number of moves?

What is the best route to take to do it in the least number of moves?
Which squares do you need to land on?