If you had 36 cubes, what different cuboids could you make?
Stage: 1, 2 and 3 Challenge Level:
Tim has been very busy arranging teddies.
He sent us pictures of his arrangements. Well done Tim!
Tim said that he couldn't arrange the houses and teddies on the map
when there were six colours, but he wasn't sure why. In fact, this
is quite a famous problem. You can read about it on the NRICH site or at www.cut-the-knot.org , for example (our teddy
bear problem is equivalent to finding two orthogonal Latin
squares of order 6).
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.