Investigate how this pattern of squares continues. You could
measure lengths, areas and angles.
How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
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?
Some of the group walk along the cliff path at a steady
N km an hour. The rest, one less in number than
the walkers, go by car which (not counting stops) averages $10$
times the speed of the walkers.
The road is much longer than the cliff path.
Those in the car stop for N minutes for fuel,
then N times as long as that for coffee, and are
further delayed for N minutes by a flock of sheep.
They finally reach town B one minute before the
How long is the road between towns A and