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?
Is N odd or even? How long do the walkers take to reach B? How large can N be?