More ice and snow warnings have been issued for the county
Council transport chiefs in Staffordshire have said they are scaling down the number of roads they are gritting.
Staffordshire County Council will still salt A and B roads but said it would be "irresponsible" to grit others in view of a national shortage of road salt.
Seventy schools were shut in the county on Wednesday because of the snow.
Police have warned against throwing snowballs at cars over fears it could hamper drivers' visibility even more.
The Met Office has warned there could be more snow in the county later and said temperatures were likely to stay below freezing.
There are road closures and diversions on public transport with the worst-affected areas being the Staffordshire Moorlands, Stoke-on-Trent and Newcastle-under-Lyme.
The A53 Buxton Road was closed because of snow and ice in both directions between Abbotts Road in Leek to the centre of Buxton.
West Midlands Ambulance Service said the weather conditions in the county were hampering attempts to get out to emergencies.
Overnight, crews were called to help a 15-year-old boy who suffered an epileptic fit in Quarnford, in the Staffordshire Moorlands.
A paramedic had to walk through knee-deep snow to reach the patient when the ambulance became stuck, an ambulance spokesman said.
He said the service was receiving double the number of calls it had predicted in some areas, many of which were the result of trips or falls.
Staffordshire Police urged people not to drive if possible and to stick to main roads and routes that had been gritted if they had to.
Elsewhere, Reaseheath College in Nantwich said lectures were cancelled until Monday because it was not safe for buses to bring students on to the site.