Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
What is the greatest number of squares you can make by overlapping
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?
Can you create a pattern on the left-hand $5$ by $5$ board below?
How could you continue the pattern? Use the right-hand board to try out your ideas.
We would love to see pictures of your $5$ by $5$ pattern and your extended pattern. We would also be keen to hear how you went about extending it.
This activity has been inspired by Doug Williams' Poly Plug resource. You can find out more details, including how to order sets of Poly Plug, on the Mathematics Task Centre website. However, you do not need sets of Poly Plug to have a go at this activity .