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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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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?

Shadow Play

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
There may be more than one answer for each shadow.

Think about all the solid shapes you know. Look at shapes around you, for example tin cans, sweet packets, cereal boxes, balls ...

You could check your answers by holding shapes underneath the light of an overhead projector or by using a torch - ask an adult to help you.