A music school for deprived teenagers in east London and two schools for autistic children are among the latest free schools in England to be approved.
From 2014, 102 new free schools are set to open after being granted approval from the Department for Education.
England currently has 81 free schools, with another 109 set to open in September.
Labour and some teaching unions say the expansion is failing to address a lack of primary places.
A report by the National Audit Office in March found 240,000 more places would be needed in primary schools alone by 2014-15.
Of the 102 approved free schools now set to open from 2014 onwards, just 33 are primary and 11 are "all through" schools serving primary and secondary pupils.
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