There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long? Each side can only use one stick but a triangle can use more than one stick of the same length.
You could use the interactivity below to investigate the problem and try making some triangles. Choose three sticks by clicking on the red, green or blue buttons. You can then rotate each stick (turn it round) by clicking and dragging on its end. If you click and drag near the middle of a stick, you can move it.