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Cubes

Investigate the number of faces you can see when you arrange three cubes in different ways.

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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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A City of Towers

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Colouring Triangles

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

Explore ways of colouring this set of triangles.

triangles


Can you make symmetrical patterns? With two colours? Three colours? More than three colours?

Can you colour the small triangles, using four colours, with no two triangles of the same colour side-by-side?