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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

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?

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?

Pebbles

Age 7 to 11
Challenge Level
You could use cubes or counters for pebbles, with squared paper.
Can you make a rectangle with just one more pebble? Two more? Three more ...?
Have you checked that each rectangle is double the size of the last one?
How are you recording what you have done?