World number three Federer defeated Norrie 6-1 6-1 before team-mate Belinda Bencic beat Katie Boulter 6-2 7-6 (7-0) in the women's singles to win the tie.

The Swiss pair then completed the victory with a 4-3 (4-0) 4-1 win in the mixed doubles in Perth, Australia.

Norrie, 23, and Boulter, 22, play Serena Williams' USA on Thursday.

They defeated Greece in their opening tie in the tournament on Saturday.

The Hopman Cup comprises two singles matches and a mixed-doubles contest between nations in a round-robin format with two groups of four.

The winners of both groups will contest Saturday's final.