Overnight the mercury dropped to minus 6C in Eskdalemuir in Dumfries & Galloway which had the lowest recorded, the Met Office said.
In Sennybridge in Powys, Wales temperatures fell to as low as minus 5C and other rural areas experienced had widespread frost.
Met Office meteorologist Annie Shuttleworth said, “There will be a crisp but sunny start to the weekend for many areas and it will still be a little cloudy across the east coast.
“Showers will come and go across parts of Norfolk as well as northern Scotland.”
Sunday will see rain for many in the UK and again on Monday before the temperatures fall again with more frost.
Met Office deputy chief meteorologist Dan Harris said, “Early next week, following a brief more unsettled interlude, we expect to see a return to widely cold but quiet conditions.
“Some rain, or showers, are likely to affect some parts of the east coast, and these could turn increasingly wintry over higher ground areas towards the middle of the week.”
He added: “It does look as though there will be a trend towards something more unsettled, as areas of cloud and rain attempt to move across the UK.
“At present, the most likely outcome beyond midweek is that rain from the west slowly moves east, with snow possible over higher ground, and a continued risk of showers over eastern parts.
“However, there is a chance that a more active weather system arrives from the southwest, which would bring more widespread rain, stronger winds, and the potential for more significant snowfall should the air over the UK become sufficiently cold ahead of it.”