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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?

Train Carriages

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

Let's Investigate Triangles

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?


Age 5 to 7 Challenge Level:

Fred says "5 cubes will make 8 different snake shapes. 5-square shapes are called pentominoes and you can make 12 different pentominoes with 5-square shapes. Four squares make five shapes."

Fred drew 8 different shapes.