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The photo on the right shows a table mat made from a coiled rope.
Chris wants to produce and sell sets of table mats like this. Her initial plan is to make them by coiling a thin rope into a rectangular pattern, sewing each layer to the next with 'thread' made of a strand of the material the rope is made from. Measuring a mat she already has, she decides that 30cm x 24 cm is a good size to aim for.
Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?