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Cubes

How many faces can you see when you arrange these three cubes in different ways?

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Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Sweets in a Box

Age 7 to 11 Challenge Level:

How many different rectangular-shaped boxes can you make using $36$ squares?
Could you make boxes in any other shape?