Over a third of children in Manchester, Middlesbrough, Belfast and Glasgow are thought to live in poverty, according to data.
End Child Poverty also pointed to six London boroughs, including Tower Hamlets and Westminster, as being rated in the 20 worst areas for poverty.
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MPs called for better support for working fathers to help them care for their children.
Some 20% of carriageways in England and Wales have less than five years of life remaining before they become unusable, researchers said.
The star - who played Miranda Hobbes in the hit New York-set show - posted a message on Twitter announcing her run.