The technical support company, based in Newark in Nottinghamshire, helps businesses and organisations switch to free open source software, and has pledged to "adopt" a secondary school, city academy, community college or technical college for a year.
The firm is running a publicity drive to promote the 15 September Software Freedom Day, and to alert schools across Nottinghamshire, Lincolnshire and Leicestershire to the benefits of open source software.
ForLinux technical director Steve Nice said, "It is a global event with about 270 countries involved, and we want to use the day to raise awareness of the benefits of free software."
The closing date for schools wishing to compete for the prize is 15 September.
The firm will send a technician into the winning school for a week at either end of the year, and will offer technical support throughout the year.
An audit of the school's current software costs will be conducted and ways of saving them money by converting to free software will be drawn up.
The firm says the prize is worth £10,000, and estimates that the winning school could easily save that much in their annual budget by converting from Microsoft products to free open source software.
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