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Sweets in a Box

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?

Ordering Cards

Age 5 to 11
Challenge Level

Look at these cards.
 
 
 
Can you sort them so that they follow round in a loop?
 
 Here is a card from a different set.
 
 card
What number would follow it?
 
What about this one? What would follow it?

 card
 
You can download the above set of cards here.
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.
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NRICH is part of the family of activities in the Millennium Mathematics Project.