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?
This challenge is to design different step arrangements, which must
go along a distance of 6 on the steps and must end up at 6 high.
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?
Children at Underhill Junior School coped well
with this problem when we went in to use the NRICH site with them.
Many were able to explain how they had done it very clearly. Among
these were Adam & Kane, Rochelle & Matthew and William
Rochelle and Matthew said:
You make two "faces" with one of each colour -
Put one of the "faces" down and lay the other on top but twisted
Adam, Kane, William and Anthony added that
cubes the same colour must be diagonal to each other.
Pupils from Moorfield Junior School used
triangular paper to draw their solutions, which worked very well.
This is Emma and Abi's:
Their explanations were very similar to the