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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Building Tetrahedra

Can you make a tetrahedron whose faces all have the same perimeter?

11x11 Square

Age 11 to 16
Challenge Level

 

For the initial question:

Are any rectangles too long?

Do any rectangles share the same width or height?


                   

 

For the final question:

What must the areas of the five rectangles add up to?

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.