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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?

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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?

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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.