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Euromaths

Age 11 to 14
Challenge Level Yellow star
  • Problem
  • Student Solutions
You might like to look at Counting on Letters before you try this problem.

How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in this array?

E U R O M
U R O M A
R O M A T
O M A T H
M A T H S

Thank you to Henriett Keri from Miskolc in Hungary for bringing this task for discussion at our EuroMaths conference, with Josephine Burgess from Bedfordshire in England, and Inga Bendtsen and Karina Leth Hansen from Aarhus in Denmark. The task was contributed by Eva Pinter Kovacsne from Tiszaujvaros, Hungary.


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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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