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How many faces can you see when you arrange these three cubes in different ways?

I'm Eight

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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?

Always, Sometimes or Never?

Age 5 to 11 Challenge Level:

Are the following statements always true, sometimes true or never true?

You could cut out the cards from this sheet (word, pdf) and arrange them in this grid.

 
Can you find examples or counter-examples for each one?

For the “sometimes” cards can you explain when they are true? Or rewrite them so that they are always true or never true?
 
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.