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Data Chunks

Age 14 to 16
Challenge Level Yellow starYellow starYellow star
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Be systematic : start with red rods and try light green, then purple, and so on, working through the rods in order of size.

Next have light green with purple, then yellow, and so on.

Next take purple . . . you get the idea?

Making careful notes and producing tables are essential.


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Euler's Squares

Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...

Diophantine N-tuples

Can you explain why a sequence of operations always gives you perfect squares?

There's a Limit

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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