This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
This one was tricky!
Mark, Lauran, Kay and Shoaib from the Tithe Barn Primary
School worked hard on it.
Sometimes it helps to work together. Their teacher says:
This was difficult, but totally absorbing. Working individually
with pencil and paper little progress was being made. We started
thinking as a group and decided to make a model of the problem. A
red card was used to represent the cattle truck, a blue one for the
sheep truck, a white one for the engine and an inverted 'V' shape
piece of paper for the footbridge. A ruler was used for the main
line and a circle drawn in pencil served as the railway siding.
On more than one occasion we thought we had solved the problem,
but were unable to reproduce the result. The engine moves were
recorded and after many attempts and much excitement we achieved
Here are the Shunting Instructions they came
The trucks have changed places!
Ampthill, Bedfordshire) also gave an excellent description of the
The engine reverses on to the loop, then goes forward and
connects to the sheep truck. It reverses and pulls this clockwise
round the loop and then pushes it forward on to the main line. It
reverses back on the loop then goes anti-clockwise round under the
bridge and pushes the cattle truck on to the main line next to the
sheep truck. Then it reverses and pulls both trucks back on the
loop. Then it goes anti-clockwise and pushes the sheep truck back
where it came from. Then it reverses pulling the cattle truck
clockwise. Then it stops, goes forward and shunts the cattle truck
on to the mainline. Then the engine reverses on its own back on to
the loop, goes round clockwise under the bridge and carries on
pushing the sheep truck round to where the cattle truck started
off. Then the engine reverses and goes back on to the main line to
get the cattle truck. It pulls the cattle truck back on to the
loop, then changes direction and pushes it anti-clockwise to where
the sheep truck was. Finally the engine reverses and then goes
forward again on to the main line.