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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?


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

Making Boxes

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

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?