You may also like

problem icon

Triangle Inequality

ABC is an equilateral triangle and P is a point in the interior of the triangle. We know that AP = 3cm and BP = 4cm. Prove that CP must be less than 10 cm.

problem icon

Rollin' Rollin' Rollin'

Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?

problem icon

How Far Does it Move?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Where Am I?

Age 11 to 16 Challenge Level:

On a weekend break a short while ago I saw this market cross.
Market Cross

On the side perhaps you can see that it has a plaque with distances to local and more distant towns:
Distance plaque

Where was I?
What is the minimum amount of information you need to know where I was? Is some of the information redundant?
Is some of the information more useful than other parts?
How accurate can you be about exactly where I was from the distances that are given?

Then why not think about the following questions:

Why has someone bothered to include so much information?
What can you find out about this place?
Can you make up similar problems of your own?