What was looking like a gripping finale to the Premier League title race is starting to turn into a procession for Liverpool.

The rampant leaders moved five points clear of Chelsea with three matches remaining thanks to a 3-2 victory over Norwich on Sunday, taking their winning run to 11 games.

The win, sealed by two goals from the excellent Raheem Sterling and a 30th of the campaign from Luis Suarez, secured Champions League football for Liverpool next season but the team will have loftier ambitions than that as it seeks a first English championship in 24 years.

The race for the final Champions League spot is tighter. Fourth-place Arsenal beat Hull 3-0 and is one point ahead of Everton, which overwhelmed Manchester United in a 2-0 win.

Everton ensured a miserable return to Goodison Park for former manager David Moyes by overwhelming Manchester United.

First-half goals by Leighton Baines — from the penalty spot — and Kevin Mirallas kept Everton one point behind fourth-place Arsenal with three games left, and guaranteed United won't be playing in Europe's top competition next season.

Languishing in seventh position, six points behind sixth-place Tottenham, United may not even qualify for the Europa League — an indication of the deposed champions' decline since winning the Premier League last year by 11 points.

Moyes left Everton after 11 years to take charge of United and was given a hostile reception from the home fans.

Lukas Podolski scored two goals for the second straight match in Arsenal's victory.

Arsenal's finishing was clinical at the KC Stadium, with Aaron Ramsey setting the visitors on their way in the 31st minute before Podolski picked up where he left off in the 3-1 win over West Ham on Tuesday.

The Germany international ran onto Ramsey's chest-down and rifled a low shot into the corner on the stroke of halftime and sealed victory in the 54th when Hull goalkeeper Steve Harper deflected a close-range shot from Ramsey into Podolski's path.

After a winless run of six games that knocked Arsenal out of title contention, Arsene Wenger's side appears to be back in form just in time to clinch a 17th straight campaign in the Champions League.

Ramsey is back fit and Mesut Ozil returned to the starting lineup against Hull, giving Arsenal attacks more fizz and precision. Podolski is also getting a run in the starting team and he is rewarding Wenger with goals.

After Ramsey completed a flowing team move with a low strike from Santi Cazorla's short pass, Podolski delivered another devastating finish after Ramsey brought down a long pass from Olivier Giroud.

Ramsey gave Hull's defence no peace with his foraging runs and he was picked out by Cazorla with another, the Wales midfielder having a shot saved by Harper. The ball rebounded out to Podolski, who made no mistake.