How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
One Wasn't Square
Age 7 to 11 Challenge Level
What can you deduce from what Jamie says?
Making a list of square numbers might help.
You could try finding pairs of numbers that make squares.
All the numbers, including the squares, are less than $40$.
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.