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?
The solutions to both parts of the problem were explained very
well by Robert (Moorgate
C P School, Staffordshire), Jack
(Tattingstone School), Daniel (Anglo-Chinese School,
Julie (The Abbey) and
This solution to the four bar problem is from Laura (St Ives School, Haslemere)
My solution to the four bars of gold Find the fake
The man weights two bars of gold in either of the scales - one side
will be lighter, that will have the fake in it. Split the two bars
and weigh it again, the lighter will be the fake.
This answer for the 9 bar problem comes from Caroline, Sarah and Ellie (The Mount School, York),
Place 3 bars on each side. If they balance then the fake is in
the other 3. If they don't balance then the fake is in the lighter
Take the 3 bars which the fake is in and weigh 2 of them
against each other. If they balance it's the one left over and if
they don't balance it is the lighter one.