Snow gates were closed overnight on the A93 Braemar to Glenshee and on the B974 at Cairn O’Mount and the A939 at Cock Bridge, with Police Scotland urging drivers to avoid these areas.
Network Rail said it had been able to clear the Aberdeen- Inverness line by Tuesday evening, despite its teams encountering some “appalling conditions” around Insch.
A large snow plough would continue working to clear the Inverness to Kyle of Lochalsh line where drifts were up to 1.2m deep in places, it said.
The train operator LNER, which runs the east coast mainline, has extended its advice to passengers not to travel between Edinburgh and Aberdeen as they “cannot guarantee” trains will operate until Friday at the earliest.
A spokeswoman for the AA said its teams had attended almost 13,000 breakdowns across the UK by 16:00 on Tuesday while the RAC said drivers in the worst-hit areas “need to be considering whether it’s safe to get behind the wheel”.
Police Scotland said the impact of the snow is still likely to be felt over the next few days in the north and north-east of Scotland, and urged people to check up on those who might be vulnerable.
Assistant chief constable Alan Waddell said: “Local resilience partnerships are continuing to meet to co-ordinate and deliver the response to disruption experienced by communities in the north and north-east of Scotland following heavy snowfall over the weekend.
“Some services may be impacted by adverse weather and I would encourage the public to check on neighbours or relatives, if they are able to do so safely.”