Such schools "may owe their neighbourhood" more help for poorer children, suggests author David Boyle.
Some highly selective state schools should do more to help poorer children pass their entrance exams, suggests a government-funded study.
According to the OECD, America is one of only three advanced countries which spends less on the education of poorer children than richer ones.
Poorer children frequently have no one to look after them in the long hours between the end of the school day and the end of the average working day.
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And supporters of the old grammar-school system argue that the new scheme is likely to fail both to draw middle-class parents back into the state system which is apparently one of its aims and to deliver all the intended benefits to poorer children.
He said restricting the number of children in the poorer Muslim community will benefit them because smaller families are better able to feed, clothe and educate their children.
"We are making some headway in closing the gaps in achievement between poorer and more affluent children, " he said.
Children from poorer backgrounds find it difficult to prepare for the information age.
Their reading and maths skills tend to decline when they're away from school and this is particularly true for children from poorer backgrounds.
Again the most prestigious universities drew the smallest number of children from poorer families - with less than 10% of students at Oxford and Cambridge being drawn from deprived areas.
Mr Sindall said that many grammar schools already offered "test familiarisation" sessions so that children from poorer families did not turn up at the entrance exam never having encountered those type of questions before.
Also, an increased age difference between mothers and their children may lead to poorer, less energetic parenting, as well as an increased likelihood that children will lose their mothers early on.
In the past 30 or so years, poorer families have had many more children than richer ones (see chart).
Such towns have more stay-at-home parents who volunteer in schools and more opportunities for holidays that enrich their children than are available to poorer communities.
But, I do need health care and there is also a poorer demographic out there and there are also children.
The Costs of Education survey, carried out by the Child Poverty Action Group, claims that many poorer families are struggling with the cost of sending children to school.
Children of the current generation will be poorer for it if they never get to linger over a vast paper map and then try in vain to fold it back into its original shape.
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Many poorer families find that they can achieve their dream of educating their children only by taking on large debts.
For the children of the poor, education is emphasised: the poorer your family, the worse, on average, you do at school, and the worse your chances of getting a good job, or any job at all.
It is operating directly through the tax and benefit system for example, by raising child benefit and introducing a children's tax-credit next year which is targeted at poorer families.
The study highlights figures that show the rate of "in-year" admissions among poorer pupils has increased by 20% since 2007-08, despite falling for most children.
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But migrants and Germans lead largely separate lives: when German children reach school age their parents flee (along with middle-class Turks), leaving poorer migrants alone together.
Charging poor children for their education will never make sense, it will only reduce their choices and make their households poorer.
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