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?
What is the greatest number of squares you can make by overlapping three squares?
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?
A practical version of this activity is included in one of the Brain Buster Maths Boxes which contains hands-on challenges developed by members of NRICH and produced by BEAM. For more details and ordering information, please scroll down this page .