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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?

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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

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A City of Towers

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Cover the Camel

Stage: 1 Challenge Level: Challenge Level:1

Where might be a good place to start?
Is there anywhere else you can put a piece straight-away?
How about trying to put in pieces from one of these starting points, filling gaps as you go along?