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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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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?

Spelling Circle

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
You could start by counting how many spaces for letters you have.
Where do you find the first letter? What could the next letter be? And the next?
When you're using your own word, what happens if you put the letters in every second space ... every third space ... every fourth space?
Can you explain why?