Length/distance

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

Have you ever wondered what it would be like to race against Usain Bolt?

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.