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Mathematics in Education and Industry (MEI)

MEI is committed to improving mathematics education and promotes teaching and learning through different strands of activity. We support teachers through a range of professional development opportunities, including our annual conference. Innovative resources are continually being developed to extend and enrich your knowledge of mathematics, whether teacher, student, undergraduate or member of the workforce.

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MEI is an independent charity; any income generated through our work is used to support mathematics education. We are a partner in the NCETM consortium, with responsibility for the secondary mathematics strand and also manage the government-funded Further Mathematics Support Programme.

Maths Item of the Month

September 2014
Square strings

Each number in the sequence 49, 4489, 444889, 44448889 is a perfect square.
i.e. the first digits are always 4s, the next digits are 8s but always 1 fewer of them, the units digit is always 9.

Prove that the numbers are always perfect squares.

Can you find another sequence (of the form XXXXYYYZ like above but different digits) that behaves in the same way?

Maths item of the month archive