Wales lead Scotland 27-3, after a thrilling first half at the Millennium Stadium.
Liam Williams, George North and Jamie Roberts all crossed for tries, as Warren Gatland's side finally found their form in the Six Nations with some exciting attacking rugby.
Scotland full-back Stuart Hogg was sent off, after leading with his shoulder in a late challenge on Dan Biggar.
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The First Minister is in Doha this weekend following the announcement earlier this week of a new route linking Wales to the Middle East.
Second-half goals from Christian Atsu and Isaac Hayden gave Newcastle a 14th away league win, as Cardiff stay 13th in the Championship.