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There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
Four Triangles Puzzle
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Cut it Out
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
Age 7 to 11
Challenge Level
On the planet Vuv there are two sorts of creatures. The Zios have $3$ legs and the Zepts have $7$ legs.
The great planetary explorer Nico, who first discovered the planet, saw a crowd of Zios and Zepts. He managed to see that there was more than one of each kind of creature before they saw him. Suddenly they all rolled over onto their backs and put their legs in the air.
He counted $52$ legs. How many Zios and how many Zepts were there?
Do you think there are any different answers?
NRICH is part of the family of activities in the Millennium Mathematics Project.