Alexis Sanchez tormented Hull as Arsenal stepped up their drive for their highest finish in the Premier League for 10 years.
Manchester City may no longer be able to call themselves Premier League champions but at least the indignity of missing out on the top-four has almost certainly been avoided after Sergio Aguero inspired them to victory at Tottenham.
Chelsea secured a first Premier League title in five years with a 1-0 win over Crystal Palace at Stamford Bridge.
Manchester United lost 1-0 at home to West Brom on Saturday to give rivals Liverpool hope for a top-four finish in the Premier League.
Steven Gerrard saw a late penalty saved before scoring the winning goal as Liverpool beat 10-man Queens Park Rangers 2-1 to give his club their first victory since mid-April.
Chelsea are now one victory away from winning the Premier League title after they came from behind to defeat Leicester.
Michael Dawson was a hero at both ends as relegation-threatened Hull claimed a vital win at the KC Stadium. The hosts' captain headed the only goal of the game eight minutes before half-time and was a defensive rock.
Chelsea winger Eden Hazard has won the 2014-15 PFA Player of the Year award.
Chelsea took another step towards the Premier League title with an eventful 0-0 draw at the Emirates. Referee Michael Oliver waved off three penalty decisions in the first half.
Everton scored three goals without reply at Goodison Park as Manchester United suffered a second defeat in succession.
Substitute Fernandinho struck a late winner as Manchester City killed off an Aston Villa comeback to claim a frantic 3-2 victory at the Etihad Stadium.
Liverpool's slim Champions League hopes suffered a huge blow as they were held to a disappointing 0-0 draw at West Brom.
Mauricio Pochettino frustrated the fans that once adored him as Tottenham twice came from behind to secure a draw on his first return to Southampton.
There will be no fairytale end to Steven Gerrard's Liverpool career after Aston Villa came from behind to deservedly book their place in the FA Cup final with a 2-1 win over the Reds.
Harry Kane struck yet again as Tottenham beat Newcastle 3-1 to condemn the Magpies to a sixth successive Premier League defeat and rekindle their own hopes of European qualification.
A bizarre own goal from West Ham's James Collins helped Manchester City back to winning ways in the Premier League.
A fumble from Reading goalkeeper Adam Federici in extra time handed holders Arsenal a 2-1 victory and a place in the FA Cup final.
Chelsea have one hand on the Premier League title after Eden Hazard fired them to a 1-0 win at Stamford Bridge.
Raheem Sterling grabbed the headlines on and off the field as Liverpool reignited their Champions League hopes with a 2-0 defeat of 10-man Newcastle.
Louis van Gaal's dream turned into reality as Manchester United put four goals past City in a superb derby win at Old Trafford.
Cesc Fabregas scored an 88th-minute winner as Chelsea restored their seven-point lead at the top of the table with a 1-0 victory at West London rivals QPR.
Aaron Ramsey marked his 150th Premier League appearance with a first half winner as Arsenal closed the gap on leaders Chelsea to four points with a hard-fought 1-0 win at Turf Moor.
Christian Benteke scored his eighth goal in six games to hand Tim Sherwood a winning return to Tottenham and ease Aston Villa's relegation fears.
Playmaker Philippe Coutinho was Liverpool's FA Cup saviour again as his solitary goal beat Blackburn 1-0 to book a Wembley semifinal with Aston Villa.
Manchester City's grip on the Premier League title was loosened further after a controversial Glenn Murray goal put Crystal Palace on the way to a 2-1 victory.
Harry Kane's first outing as captain of Tottenham failed to inspire Spurs in an insipid 0-0 draw at Burnley.
Chelsea responded from conceding a Charlie Adam goal from his own half and losing Diego Costa to a hamstring injury to beat Stoke 2-1 and move seven points clear in the Premier League title race.
Manchester United climbed above their 'noisy neighbours' into third position thanks to a 3-1 win over Aston Villa which included a stunning strike from Wayne Rooney.
Arsenal kept up the pressure at the top of the Premier League as Liverpool were blown away 4-1 at the Emirates Stadium, where Reds contract rebel Raheem Sterling failed to make an impact.
A moment of madness from Liverpool captain Steven Gerrard saw him sent off just 43 seconds after coming on in his final appearance against Manchester United, whose 2-1 victory at Anfield.
Manchester United were unable to match the intensity shown during Jose Mourinho's extraordinary pre-match press conference, but headers from Romelu Lukaku and Nemanja Matic saw them through to the FA Cup semi-finals at Brighton's expense.
Mohamed Salah's record-setting season shows no signs of slowing down as four goals in the 5-0 victory over Watford put him in pole position for the Premier League Golden Boot.
Tottenham Hotspur strolled into the semifinals of the FA Cup with a Christian Eriksen-inspired 3-0 victory over Swansea City.
David Silva struck twice as Manchester City took another stride towards their seemingly inevitable coronation as Premier League champions with a 2-0 victory at Stoke.
Tottenham Hotspur bounced back from their Champions League defeat to Juventus with a 4-1 win at Bournemouth in a game overshadowed by injury to Harry Kane.
Arsenal strolled to a much-needed win as Shkodran Mustafi, Pierre-Emerick Aubameyang and Henrikh Mkhitaryan saw off Watford 3-0 at the Emirates Stadium and Petr Cech kept his 200th Premier League clean sheet.
Two first-half goals gave Chelsea a 2-1 home victory over a Crystal Palace side whose relegation worries increase.
Everton registered a third successive victory at Goodison Park by beating Brighton 2-0.
Two goals from Marcus Rashford gave Manchester United a crucial 2-1 victory over Liverpool at Old Trafford, putting them five points clear of their rivals in second place in the Premier League.
Nemanja Matic struck in stoppage time as Manchester United came from two goals down to secure a vital 3-2 victory at Crystal Palace.
Bernardo Silva scored the only goal as Manchester City took another stride towards the Premier League title with a 1-0 victory over Chelsea.
Arsene Wenger remains under intense pressure as Arsenal were deservedly beaten 2-1 by Brighton & Hove Albion at the Amex Stadium on Sunday.
Tottenham warmed up for their Champions League tie with Juventus by easing to a 2-0 victory over Huddersfield at Wembley.
Mohamed Salah scored for the seventh successive match to continue a remarkable scoring spree that is the best in Europe as Liverpool comfortably beat Newcastle United 2-0.
Manchester City inflicted more pain on Arsene Wenger with a second crushing 3-0 victory over his Arsenal side in the space of four days.
Tottenham overcame Rochdale 6-1 in the FA Cup but video technology reduced the fifth-round replay at Wembley to a farce.
Swansea reached their first FA Cup quarterfinal since 1964 with a 2-0 home victory over Sheffield Wednesday.
Manchester City breezed past woeful Arsenal 3-0 to lift the Carabo Cup, Pep Guardiola's first trophy in English football, at Wembley.
Tottenham Hotspur grabbed an 89th-minute winner against Crystal Palace to move into fourth place after a determined home side had seemed set for a battling draw at Selhurst Park.
Substitute Jesse Lingard headed the winner as Manchester United came from a goal down to beat Chelsea 2-1 at Old Trafford and move back into second place in the Premier League.
Watford moved up to 10th in the table as Troy Deeney's late goal gave them a valuable 1-0 victory over Everton at Vicarage Road.
Liverpool took their goal tally for the season to 103 as they claimed second place in the Premier League with a comfortable 4-1 win over West Ham.
Stoke remain in the relegation zone after an error from goalkeeper Jack Butland meant they had to settle for a 1-1 draw at Leicester.
Manchester City's quadruple trophy bid was sensationally derailed by a shocking 1-0 defeat at third-division Wigan in the FA Cup fifth round on Monday.
Substitute Steve Davies earned Rochdale an FA Cup fifth-round replay at Wembley Stadium with his remarkable stoppage-time equaliser against Tottenham Hotspur at Spotland.
Manchester United overcame the video assistant referee's controversial intervention and reached the FA Cup quarterfinals thanks to Romelu Lukaku's brace at Huddersfield.
Willian dispatched two inch-perfect finishes as Chelsea cruised past Hull 4-0 and into the FA Cup quarter-finals.
Sheffield Wednesday fan Jamie Vardy put the Blades to the sword as Leicester knocked Sheffield United out of the FA Cup.
Chelsea eased the growing pressure on Antonio Conte and returned to the Premier League's top four with a convincing 3-0 win over West Brom.
Liverpool moved back above Tottenham and into third place in the Premier League table as two first-half goals gave them a routine 2-0 victory at struggling Southampton.