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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?

Symmetry Challenge

Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.

Chocolate

Age 7 to 14 Challenge Level:

How much chocolate is on the first table?
How many people would it have to be shared between?
So, how much chocolate would each person get if you went to the first table?
How about on the second table? ... third table?