Only a fifth (21%) felt that free schools should not have to follow the national curriculum, the survey for Channel 4 News found.
The programme revealed the poll results as it emerged that another free school, in Bradford, is in trouble.
While 81% of people agreed that it should be compulsory for free schools to employ qualified teachers, three quarters (75%) agreed that qualifications do not necessarily guarantee a good standard of teaching.
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Pregnant women and new mothers are suffering growing discrimination at work, according to a new report.
More than one in four Britons aged 55 and over financially support their child or other dependents to get on to the property ladder.
Known as 'spice' and 'black mamba', the so-called legal high is suspected of contributing to deaths in male and female institutions.