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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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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?

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Teddy Town

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?

Three Way Mix Up

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

It might help to have some coloured counters to move around, or you could use some squared paper and three coloured pencils/pens.
Have you checked to see if your arrangements obey the rule?
How do you know your arrangement is different from the others you've made?