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?
Six friends sat around a circular table. Ann (who is not the
banker) sat opposite the consultant. Bob sat opposite Fred. Celia
sat on the doctor's right. Dave (who is not the consultant) sat
opposite the accountant. Emily sat opposite the engineer and next
to the financier. Fred sat on Ann's right.
Who sat where and what were their professions? Is there more
than one solution?
(Thank you to John Webb of Cape Town University for this problem
and greetings to readers of the Mathematical Digest in South