First Bus said it has been forced to cancel some services
More snow showers have been predicted in Staffordshire after the weather led to dozens of schools closing on Tuesday.
Temperatures in the county will struggle to get above freezing on Wednesday, the Met Office said.
A widespread sharp frost was predicted overnight on Tuesday.
Parents have been warned after children were seen playing on the frozen Holden Lake at Holden Bridge in the Stoke-on-Trent area during Tuesday afternoon.
The fire service warned that if children fell through the ice the cold water would be a dangerous shock to the system.
Bin collections cancelled
The Met Office said following sleet and snow showers, widespread icy roads were likely to form on Tuesday evening and overnight.
Earlier, Staffordshire Police issued warnings for motorists not to drive and for parents to keep children safe as freezing conditions affect the county.
Bosses at Stafford Hospital have said they were struggling to cope with the demand on the hospital's accident and emergency department.
All non-urgent surgery was cancelled and some wards have been affected by the winter vomiting bug.
New patients to accident and emergency were being urged to go to Cannock Hospital instead.
The area's main bus operator First Bus said it had been forced to cancel some services and re-route others because of ice on the roads.
Bin collections in the Staffordshire Moorlands and Stoke-on-Trent had to be cancelled because of the weather.
West Midlands Ambulance Service said the weather was hampering paramedics' efforts to get to emergency calls because of the bad road conditions.
A spokesman for the service urged people to consider if they actually needed to call 999.