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?

Three Squares

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

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?

Rearrange the Square

Age 5 to 7
Challenge Level

Simply cutting a corner off a square can lead to a puzzling activity.
1st sq

So the little triangle is removed:

2ndsq

This little triangle is then put back making sure that a corner of the triangle is always touching a corner of the shape that the triangle came from, and two edges line up.

We can then make new shapes:

2 examples

Which were made as follows:

answers

So here's the challenge: Can you make all the following and tell us about how they are made from the two shapes?

18 shapes

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Four Triangles Puzzle

Three Squares

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Rearrange the Square

Age 5 to 7Challenge Level

Age 5 to 7
Challenge Level