### Lying and Cheating

Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!

### Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

### 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.

# Muggles Magic

##### Age 11 to 14 Challenge Level:

You can move the 4 pieces of this jigsaw around and fit them into the outlines shown below. Try for yourself with this interactivity. One square unit is missing in the lower shape.

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Explain what has happened to the missing area? (Of course muggles magic is not magic at all!)

Puzzles such as these first appeared in Zeitschrift für Mathematik und Physik Leipzig, 1868, vol XIII, page 162, although Martin Gardner states that Sam Lloyd the Elder, (there were two, father and son, who were both great puzzle producers and publishers in England) also talked about them around 1865. This particular one seems to have been invented by Roy Nauw of Kloetinge, from whom permission is being sought.