Some parents outside one of the east London schools criticised by Ofsted for failing to protect children from extremist views said they were happy with the level of education their children were receiving, and did not get the impression their children were at risk.
The Secretary of State for Education Nicky Morgan said the findings of the Ofsted report into seven schools in the Tower Hamlets district of east London were "very concerning", and that they expected improvements to be made "within weeks".
Six independent schools in Tower Hamlets could be shut down by the Department of Education if they fail to improve.
The schools are due to be served 'notices to improve' by the government on Monday. If they don't comply, the government then has the power to close them by removing them from the Independent Schools Register.
It follows an Ofsted report which found the schools were failing to protect children from Islamic extremism. A state school, Sir John Cass Red Coat School, has already been placed in special measures by the government.
Education Secretary Nicky Morgan is demanding urgent action from six private London Muslim schools, after Ofsted raised serious concerns that pupils might have been left vulnerable to radicalisation and their welfare put "at serious risk".
Pupils at six private Muslim schools may be "vulnerable to extremist influences and radicalisation", Ofsted chief Sir Michael Wilshaw has warned as the watchdog published a series of highly-critical reports.
In an advice note to Education Secretary Nicky Morgan, Sir Michael said he was "extremely concerned" about the large number of failings in each of the six independent schools inspected in Tower Hamlets, east London.
In all of the schools, pupils' physical and educational welfare is "at serious risk", Sir Michael said as stressed the need to take urgent action to address the situation.
A number of schools in East London have criticised for not protecting children from the threat of Islamic extremism, and spending too much time teaching the Qur'an instead of the national curriculum.
The Al-Mizan independent school,located inside the East London Mosque and managed by the East London Mosque Educational Trust, was found to be inadequate in every inspection criteria.
Ofsted have criticised a state-run school in east London was not doing enough to protect its pupils from the threat of Islamic extremism.
In one of seven reports into schools in the area, inspectors found there was inadequate protection for young people and that girls were being prevented from having equal access to school facilities.
Ofsted found that the school failed to monitor the online activities of the sixth-form Islamic society, which included a Facebook page with links to radical preachers. The most recent report said that despite police warnings on these links, leaders within the school failed to act.
An unannounced inspection by Ofsted on a number of schools across the London district of Tower Hamlets have revealed serious failings in levels of teaching and care provided to children.
In the first of several reports due out this morning, Ofsted found that the Jamiatul Ummah School, an independent secondary school which caters to children mainly from Bangladeshi backgrounds, was "inadequate" and failing students in all of the inspection criteria. The inspection found: