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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?

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It Figures

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

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

The Moons of Vuvv

Stage: 2 Challenge Level: Challenge Level:1
You could look at just two moons and work out how many years it takes for them to coincide.
Which moons might it be good to look at first?
It might help to use a calculator and to jot your ideas on paper.