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Even Up

Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?

Farey Sequences

There are lots of ideas to explore in these sequences of ordered fractions.

Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Paving Paths

Age 11 to 14 Challenge Level:

10 paving slabs.

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

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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