How far have these students walked by the time the teacher's car
reaches them after their bus broke down?
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
speed at each stage.
This problem clearly got a lot of you
thinking! Several of you sent in the correct answer, including
Gemma, Rachel, David, Alex, Charlie, Robert, Joel, Jamie, Carys,
Soph, Bex, Rhi, Joe, Veronica, Harriet and Elspeth, all from
Cowbridge Comprehensive School.
As Azeem of Mason Middle School states:
You have to have a triangle with 40 radius. Also, you must place
the red dot at the bottom left corner of the triangle.
Some of you worked it out using some
systematic thought and trial and error.
Sathya and Michael made a good effort at
explaining how they worked this out .
Sathya from Scots College, New Zealand
considered whether or not the dot could be placed in the centre of
Sathya then went on to consider how many sides
the polygon might have:
Michael from St John Payne School went a
little further in exploring where the dot might be placed:
He then looked at the units on the graph to
consider which vertex the point would be on:
We do agree! Many thanks.