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?
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?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
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.