Postpublished at 22:24 Greenwich Mean Time 15 December 2014
That's a wrap from us this evening. Thanks as ever for your company tonight - join us on Tuesday night for League Cup and FA Cup action. Bonanza!
Barkley with superb 20-yard strike
Mirallas free-kick deflected in, Naismith header
Zamora stabs in for QPR from close range
Everton move above Liverpool in table
QPR lost all eight PL away games this season
Tom Rostance
That's a wrap from us this evening. Thanks as ever for your company tonight - join us on Tuesday night for League Cup and FA Cup action. Bonanza!
Everton boss Roberto Martinez, speaking to BBC Sport: "It was a really important win. It was important to bounce back. It now allows us to move forward and focus on the Southampton game.
"Today in front of goal we were clinical and full of quality. There were pieces of individual magic. The way Ross Barkley opens the line of pressure and hits that quality of strike is outstanding. To score three goals is always a really good strength to have in your side.
"I thought the performance today was a difficult one because QPR came with a lot of intent and energy but to be able to score three goals past that system shows the quality in our side.
"It is too early to make any sort of assessment of Kevin Mirallas. It is an ankle injury, we will assess in the morning and take it from there."
Everton manager Roberto Martinez confirms that Kevin Mirallas 'has a bad ankle' and will be scanned on Tuesday.
Harry Redknapp, speaking to BBC Sport: "We played well. I thought there was really something in the game for us but then there was a great strike by Ross Barkley, although a deflection carried it into the net and then there was another deflection for the free-kick. The third goal was important because I thought there was an edgy atmosphere tonight, the players were edgy but we gave away a bizarre goal for the third.
"I was not that disappointed with the performance tonight though, I thought we played OK. You need a little luck sometimes and it went their way a little bit tonight. I have no doubts we will get points away from home. We pressed better as a team and I thought, up until they scored, they did not have many ideas about how to break us down. I am optimistic. We have played difficult teams away from home, the ones you expect to be up there and the ones who are in form."
Manchester United can win the Premier League title, says Phil Neville.
United claimed their sixth successive win by beating Liverpool 3-0 on Sunday and lie third, eight points behind leaders Chelsea and five adrift of Manchester City.
Speaking on BBC Radio 5 live on Monday, the former United assistant coach was asked if they could win the league.
"Yes they can," he said. "The players believe that they can win the title and so does Louis van Gaal."
Sporting Intelligence:, external QPR's last 40 away games in the Premier League, most recent first. 2014-15: LLLLLLLL 2012-13: LDLLLWLDWLDDLLLLLLD 2011-12: LLLLLLLDLLDLL
Everton's Ross Barkley, speaking to Sky Sports: "I thought it was on target when I hit it but the deflection helped, it got us under way and we got the three points, that is the main thing.
"Also getting three goals against QPR was great too. We will take each game as they come and hopefully get things right on the pitch."
QPR are only the second team in Premier League history to lose their opening eight away matches in a season, after Bolton in 1995-96 who lost their first nine.
Everton's Steven Naismith, speaking to Sky Sports: "It says what we have done over the last year or so that teams come and see us as a threat. I thought the keeper got a hand to my goal but it was still going in the corner. QPR are an experienced team, we knew it would be tough but we scored goals at vital times.
"Going into the Europa League this year has given us a few more problems in terms of the amount of games we play but we want to take the club to the next level and that involves playing games week in and week out."
Everton are seven points shy of the top four at the moment, but there are plenty of points to play for in the next few weeks and no Europa League to worry about.
Can the Toffees challenge again?
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But that miss doesn't matter one jot. A comfortable win for Everton. QPR's away day woe continues.
Lovely effort! Arouna Kone runs at the tired QPR defence before slotting in Samuel Eto'o, he goes for the side-foot and slams it against the base of the post!
So Everton will move above Liverpool and back into the top 10 tonight. A good result - if not a great performance. They have done enough.
Ross Barkley takes the free-kick, bends it over the wall but wide.
Arouna Kone gets a run out as Kevin Mirallas departs. We'll let you know as soon as we hear about that injury. Looked like his ankle.
Kevin Mirallas has been injured in that tackle from Jordon Mutch. It looks like his ankle gave way under the weight of the QPR midfielder. Mirallas leaves the field on a stretcher, head in hands. That looks serious.
Jordon Mutch scissors Kevin Mirallas and goes into the book. That was ugly. It's also the first booking of the night.
Mark Lynch:, external QPR down the bottom, getting well beaten again away from home and yet again no bookings either. Not exactly fighting to stay up.
Terry Devaney:, external Everton are a completely different team with Naismith in it, he's easily one of the most underrated players in the league.
Muhamed Besic will be sent off at least three times this season. How's that for an outlandish prediction. But it's just the way he tackles. The crowd love it - I like it - but referees won't. He launches himself at Joey Barton and takes the ball clean as a whistle, but he's only a slight mistime away from a red.