Schools in more than a third of council areas are selecting low-ability students or using lotteries in an attempt to break the middle-class hold on the most sought-after places.
The number of authorities where such admission policies are used has increased sharply as competition for the best schools has intensified, a survey by The Daily Telegraph has found.
The rise of lotteries and so-called "fair banding" – where test results are used to select a proportion of pupils with lower ability – could thwart affluent families who have bought homes within the catchment areas of successful schools. They have often paid a premium of tens of thousands of pounds to do so.
This is the fifth year since councils were given the power to use such admissions techniques. Fair banding has since been encouraged by Michael Gove, the Education Secretary, who has said that it could help make schools "truly comprehensive".
But opponents say the policies amount to social engineering and can result in children travelling miles every day after being turned down by a first choice local school.