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?
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue.
She wants to fit them together to make a cube so that each colour shows on each face just once.
Is it possible ?
If so, how?
If you've found a way, is there another way?
If you want more of a challenge, have a look at this problem: