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If Hogwarts admits children from 11, who takes care of primary education?

I would imagine lots of anti-social, semi-literate people if parents are left to their devices in educating their children. But then the government does taxpayer-funded universal education with Hogwarts and depends on a society of educated people. So where are the primary schools?

marked as duplicate by Jesvin Jose, b_jonas, phantom42, Dr R Dizzle, Jason Baker Nov 3 '15 at 14:48

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