Eden Hazard and Branislav Ivanovic got the goals as they came away from Aston Villa with a 2-1 win.
Hull led away to Manchester City, only for James Milner to equalise in stoppage time.
Southampton's Champions League hopes received a massive boost – after their 1-0 win at QPR.
Tottenham are up to fourth after Harry Kane's brace saw them come from behind to beat Arsenal 2-1 in the North London derby at White Hart Lane.
The Gunners had been leading 1-0 at half-time and Manager Arsene Wenger says they didn't pose enough of a threat to their rivals.
Leicester remain rooted to the bottom after their 1-0 defeat at home to Crystal Palace.
Sunderland secured a valuable point in their battle against the drop – Jermain Defoe struck again in their 1-1 draw at Swansea.
