Mathematics in Education and Industry

Mathematics in Education and Industry was founded in the early 1960s and is an independent UK curriculum development body.

MEI is an independent charity; any income generated through MEI's work is used to support mathematics education.

MEI is committed to improving mathematics education and is involved in a range of activities to fulfil this aim:

• Opinion
• Resources
• CPD and Support
• Curriculum
• Industry
• Further Mathematics Support Programme

The majority of MEI's members are classroom mathematics teachers in schools and colleges.

Maths item of the month

January 2012

Happy New Leap Year

2012 is a leap year, i.e. it has 366 days. 366 can be written as the sum of consecutive square numbers:
366 = 8² + 9² + 10² + 11²

Non-leap years have 365 days. 365 can be written as the sum of consecutive squares in two different ways:
365 = 10² + 11² + 12²
365 = 13² + 14²

Neither 366 nor 365 are square numbers themselves. Are there any square numbers that can be written as the sum of consecutive squares?

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