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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!

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Walk and Ride

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

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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.

How Steep Is the Slope?

Age 11 to 14 Challenge Level:

Position your ruler on U. Which point should you join to in order to get the steepest line possible? The next steepest? And the next?

Now think about where you could fix one end of your ruler and move the other end in order to make all the possible negative gradients.