Ross Barkley put the Blues ahead with a marvelous strike from outside the box, before a deflected Kevin Mirallas free-kick gave the home side a two-goal lead at the break.
Shortly after half-time, Steven Naismith headed in a third. Nevertheless, the Toffees let yet another clean sheet evade them, as Bobby Zamora pulled back a goal late on for the visitors.
Here are the top five statistics from Monday evening's encounter:
1- Kevin Mirallas completed 5 take-ons before picking up an injury, more than any other player on the pitch. Following this performance, he has now directly contributed to 5 goals in his last five appearances for the Toffees (3 goals, 2 assists).
|Team||Match||Successful Take Ons||Take On Success (%)||Mins Played|
|Kevin Mirallas||Everton||Everton vs QPR||5||55.56||89|
2 - The Toffees have now scored the joint-highest number of goals from outside the box this season, level with Manchester United. Steven Naismith's strike came from the club's first shot on target from inside the box.
3 - Everton have now gone six Premier League games without keeping a clean sheet. Meanwhile, Rangers are the first team to concede 30 times in the English top flight in the 2014-15 season.
|Goals Conceded||Clean Sheet||Appearances|
4 - With his first-half thunder-bolt, Ross Barkley ended a run of eight Premier League appearances without a goal. Nonetheless, the English youngster has now scored seven goals since the start of last season.
|Season||Goals||Total Shots||Shot Conversion (%)||Appearances|
5 - QPR have now lost all eight of their away games in the Premier League this season, conceding 20 goals in the process. Only Bolton Wanderers in 1995-1996 have lost more times on the road during the start to a season (9).