Nathan Patterson scored his first ever Scotland goal, linking well with John McGinn in the first half, then the same duo combined to set up Che Adams for the second goal after the interval.
There were a few nerves when Patterson conceded a penalty but Craig Gordon produced the goods to save the spot kick with Kieran Tierney clearing the rebound with a fantastic response.
Now focus will be on the Denmark game and trying to ensure that Scotland are seeded for the play-off which takes place in March.
Player ratings scale - 10: One of the best performances you've seen. 9: Outstanding. 8: Very good. 7: Good. 6: Average. 5: Poor, 4: Very poor. 3: A terrible day at the office. 2: Abysmal. 1: One of the worst performances you've seen.
9. Andy Robertson - 8
Enjoyed his night, getting to motor forward, linking with both Kieran Tierney and rolling back the years with Stuart Armstrong from their Dundee United days. Quality in the final third could have been better. Photo: Craig Foy - SNS Group
10. John McGinn - 9.5
Just excellent. Used his bahookie to great effect as usual. Supported the attack so well from out to in. Played some lovely passes into and around the final third and a nice assist for the opener. Only reason it’s not a ten is due to the standard of the opposition. Photo: Craig Foy - SNS Group
11. Che Adams - 9
Filled the Lyndon Dykes hole excellently. Acted as a wonderful focal point, linking play, giving team-mates a target, running the channels, opening space. Best of all, he got on the scoresheet. Photo: Craig Foy - SNS Group