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?
We received several different arrangements of tiles - thank you to those who sent in your suggestions. You had to remember that you didn't necessarily need one tile of each colour in every row and column - it was just that tiles of the same colour weren't allowed to touch. Not many of you looked for more than one other arrangement but Kesavan from Latymer All Saints C
of E Primary sent in these solutions:
Louise from Farnborough Hill sent these arrangements:
Trish and James sent in their solutions:
A great way of working out some possible results!
Finding all the possible arrangements of tiles is quite a challenge and some of you began to have a go at this. Danny told us how he worked out how many possible combinations there were:
Thank you, Danny!