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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?

Cycling Squares

Age 7 to 11 Challenge Level:

Make a list of the square numbers up to $8\times 8$.

Using the interactivity might help you get started. Don't forget you can always change your mind and alter your solution as you go along!