Australia international Tim Cahill was among the goalscorers as Everton hammered national team-mate Mark Schwarzer's Fulham 4-0 while Luis Suarez scored a superb hat-trick in Liverpool's win over Norwich City.
The win keeps the Toffees in seventh place in the English Premier League.
In-form Nikica Jelavic played another big role in the victory.
His seventh-minute free-kick was blocked by Pavel Pogrebnyak's hand inside the area, and the January signing from Rangers stepped up to send Schwarzer the wrong way from the penalty spot.
Marouane Fellaini was allowed a free header to double the lead after 16 minutes before Jelavic's second, and ninth in the last seven games, made it 3-0 six minutes before the break.
Cahill came off the bench to score the fourth on the hour mark.
Luis Suarez scored a brilliant hat-trick as Liverpool warmed up for next week's FA Cup final with a comfortable 3-0 victory at Norwich City.
The Uruguay international netted twice in the space of four first half minutes before brilliantly beating goalkeeper John Ruddy from just inside the Norwich half late on.
Wigan Athletic stunned Newcastle United with four first-half goals to give its survival hopes a huge boost and put a major dent in the Magpies' bid to qualify for the UEFA Champions League.
Roberto Martinez's side turned in its best 45 minutes of the season in the first half, and then kept an improved Newcastle at bay after the break to earn a 4-0 victory that moves it three points clear of the drop zone.
Victor Moses took advantage of some lax defending to head in the first after 13 minutes and was then gifted an even easier second two minutes later when Fabricio Coloccini fluffed his clearance and the Wigan attacker fired home the loose ball.
It got worse for Newcastle after 36 minutes when Shaun Maloney capped a fine flowing move with a finish from a tight angle on the left and Franco Di Santo made it a first half to remember for Wigan fans with a wonderful curling shot from outside the area in stoppage time.
Newcastle looked better after the break, but could not find a way back.
There was even more drama at Swansea City, where the host led 4-1 at one stage but then allowed already-relegated Wolverhampton Wanderers to claim a point in an amazing 4-4 draw.
Swansea scored three times in the opening 15 minutes and looked like they were cruising to victory.
Andrea Orlandi turned in Scott Sinclair's cross before Wolves had touched the ball, and it was 2-0 after four minutes when Joe Allen broke away and found the net with the help of a deflection off Richard Stearman.
Nathan Dyer headed in a third after 15 minutes, but a fine header from Steven Fletcher gave Wolves hope moments later.
Danny Graham's calm finish put Swansea 4-1 up after half an hour, but again it was pegged back as Matt Jarvis cut in from the left and his low shot found the net with Ashley Williams stumbling when given a chance to block on the line.
Wolves then came roaring back in the second half.
Dave Edwards raced through to cap a fine move and make it 4-3, and Jarvis then levelled in the 69th minute, meeting Fletcher's low cross.
Goals were the theme of the day, but Arsenal could not find the second it needed to take full advantage of Newcastle's defeat, instead being held 1-1 at Stoke City.
Peter Crouch's ninth-minute header put the host ahead before Robin van Persie enjoyed a simple finish from Tomas Rosicky's cross to level on the quarter-hour mark, his 35th goal of the season.
Arsenal is third, four points ahead of Newcastle, having played a game more.Bolton Wanderers, needing a win to climb out of the drop zone, drew 2-2 at Sunderland.
The visiting side took the lead when Martin Petrov's fine cross was volleyed home by Kevin Davies at the far post, but Nicklas Bendtner levelled before the break.
James McClean then put the host on top with a 55th-minute free-kick, but a Davies header earned Bolton a point 20 minutes from time.
Aston Villa did little to ease its relegation worries as it rode its luck in a goalless draw at West Bromwich Albion, although it was grateful to a fine Shay Given save in the final minutes to prevent it being any worse.