Central Scotland, Tayside, Fife, Grampian, Highlands, Eilean Siar, Orkney, Shetland, southwest Scotland, Lothian, Borders and Yorkshire and Humber are some of the affected regions on Tuesday.
People are being told to brace for potentially “hazardous conditions” into Wednesday morning if snow falls and icy patches form.
The warnings last until Thursday at 11am.
The Met Office said: “Wintry showers will lead to ice forming on untreated surfaces during Tuesday evening and overnight into Wednesday morning.
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“Snow will begin to accumulate, especially away from windward coasts, with 1-3cm possible. Higher routes of northeast Scotland may see up to 5cm of snow accumulate.”
The Met Office has also issued advice for how people can stay safe in icy conditions – urging people to check on elderly relatives or neighbours who might need support.
Motorists have been told to avoid driving in icy conditions wherever possible. If driving is unavoidable, they are advised to look well ahead for potential hazards and keep their speed to a minimum.
People who are walking or cycling are advised to leave the house five minutes earlier than normal and to try and avoid slippery surfaces.
The UK Health Security Agency (UKHSA) has issued warnings of its own, with yellow and amber cold-health alerts for northern regions of England until 5 December.