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

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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?

Change Around

Age 5 to 7
Challenge Level


Here is another triangular shape made from arranging circles.

Move just three of the circles so that the triangle faces in the opposite direction.

Visualization of problem.

You could use this interactivity to try out your ideas: