Tenants with one spare bedroom have had a payment reduction of 14% and those deemed to have two or more spare a reduction of 25%.
Lawyers for the 10 cases say that, unless the families move from their homes into smaller properties, they face building up rent arrears and being forced out any way.
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There will be sunny spells for many but heavy showers will spread across the UK in the afternoon.
Children's Commissioner review found 28% of children in need of support were sent away because their illness was not deemed serious enough.
The former prime minister suggested a Jeremy Corbyn government would be a 'very dangerous experiment'.