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?
Jigsaw puzzles have lots of different shaped pieces that all fit together without gaps. Most puzzle pieces have four sides with buttons added on to them or cut out of them similar to these:
Imagine that the puzzle pieces are roughly a rectangular shape and all the same size. They can have a button added on or taken out of the middle of any side.
How many different puzzle pieces could there be?
Have you got them all? Have you got any that are really the same?
Have you remembered the straight edges?
What about the corner pieces?