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?
Peter Simpson from Castell Alun School
argued as follows:
If N was 7 (or greater) the time delays would be greater than 59
minutes, the time for the car to travel to B (the walkers arrive in
60 minutes - N miles in an hour, the car arrives 1 minute
Momtchil Iliev from Drayton Manor School
argued in a very similar way and added an explanation for how he
calculated the distance by road: