FT: Celtic 5-0 Partick Thistle - Bayo, Rogic, Ntcham (2) & Sinclair net; visitors have goal disallowed
FT: Hearts 2-2 Aberdeen - Hosts win 3-0 on pens
FT: Kilmarnock 0-0 Hibs - Visitors win 5-4 on pens
FT: Livingston 0-1 Rangers - Kamara with only goal
Semi-final draw follows after ties
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Scott Sinclair
Thistle cough up possession and are immediately punished.
Vakoun Issouf Bayo pounces on the ball and, when the Ivorian is denied from close range, the ball breaks kindly for Scott Sinclair to score his first goal since July.
Image source, BBC SportCeltic 4-0 Partick Thistle
Olivier Ntcham has had to bide his time as a bit-part player this season for Celtic, but the French midfielder's two fine finishes have put his side on easy street.
Image source, SNSLivingston 0-1 Rangers
A first-time side-foot from Scott Arfield following a low Sheyi Ojo cross brings Matija Sarkic into the action again, but the on-loan Aston Villa goalkeeper gets down well to prevent Rangers extending the lead.
It's end-to-end stuff at Almondvale and still on a knife edge.
Kilmarnock 0-0 Hibernian
Almost an immediate impact from Oli Shaw. Hibs' young striker rises to meet Tom James' cross, but his looping header is tipped over the bar by goalkeeper Laurentiu Branescu.
Livingston 0-1 Rangers
Livingston come close again as Aymen Souda performs a wonderful step over to skip past Connor Goldson and fires a shot beyond the on-rushing Allan McGregor, but his shot smacks off the front post and goes wide.
Kilmarnock 0-0 Hibernian
This game needs some spark, and Hibs boss Paul Heckingbottom is sending for play-maker supreme, Scott Allan. Can he be the man to apply a touch of class?
Hibs have also brought on another striker, Oli Shaw, to join Christian Doidge in attack.
Wingers Daryl Horgan and Glenn Middleton have come off.
Kilmarnock 0-0 Hibernian
The Hibs players are appealing for a red card after Chris Burke clatters Josh Vela with a straight leg.
Willie Collum shows the veteran a yellow card. Burke had taken a heavy touch and was stretching to reach the ball when he caught the Hibs midfielder.
Livingston 0-1 Rangers
Another chance for Rangers and Sheyi Ojo as the on-loan Livingston winger powers his way past his marker and into the Livi penalty box.
But goalkeeper Matija Sarkic deflects it wide from point-blank range.
Olivier Ntcham
It's a quick-fire double for French midfielder Olivier Ntcham. Two goals in six minutes.
Celtic counterattack with blistering efficiency. Ntcham robs Raffael da Vita and scampers away down the left. His curling shot is beautifully weighted to strike the inside of the far post and find the back of the net.
Image source, BBC SportLivingston 0-1 Rangers
A rare chance for the visitors as a counter attack through a strong run from Alfredo Morelos finds Sheyi Ojo at the back post, but the winger can't make the most of the bounce of the ball and is forced to poke a tepid shot towards the Livingston goal.
Celtic 3-0 Partick Thistle
James McFadden
Former Scotland forward on BBC Radio Scotland
Quote MessageScott Fox has absolutely no chance. Ntcham takes a couple of chances to set himself, there's no pressure on the ball, and he absolutely smashes it into the top corner. Fox does well to get anywhere near it, but the goalkeeper's touch can only put it into the top corner
Livingston 0-1 Rangers
Lyndon Dykes is once again through on goal after latching on to a fine ball from Keaghan Jacobs, but the Livingston forward goes for the chip and the ball flies over Allan McGregor's crossbar.
It comes after Rangers goalkeeper Allan McGregor has to punch away a Steven Lawless cross and then visiting defender Filip Helander aims a poor back pass wide for a corner.
Livingston are putting on the pressure and Rangers are rocking.
Olivier Ntcham
Wow! An absolute howitzer from Oliver Ntcham. The Frenchman collects possession from Mohamed Elyounoussi a good 30 yards from goal, steadies himself and launches a rocket of a shot into the top corner.
Scott Fox gets fingertips to it but can only aid it on its path to the net. That's game well and truly over now.
Hearts 1-2 Aberdeen
Another injury blow for Aberdeen. James Wilson, who won their second penalty of the night, limps down the tunnel.
Celtic 2-0 Partick Thistle
Thistle have the ball in the net, but their celebrations are cut short by the offside flag.
Centre-half Tam O'Ware gets on the end of a cracking delivery and heads past Craig Gordon, but the flag shot up right away to keep the visitors goalless.
Livingston 0-1 Rangers
Livingston kick off the second half with a bang, as Nicky Devlin skips in between Glen Kamara and Borna Barisic on the right flank to drive into the Rangers box and fire a shot towards Allan McGregor’s back post, but it goes just wide.
Kilmarnock 0-0 Hibernian
Hibs midfielder Josh Vela fluffs his lines inside the box when the ricocheting ball falls kindly for him. He takes too long to let fly and ultimately the chance is lost.
HT: Livingston 0-1 Rangers
Billy Dodds
Former Scotland striker on Sportsound
Quote MessageRangers could have been further ahead and be more comfortable, but when you have Dykes up there, the game is not out of sight for Livingston
Tom Rogic
Barely 40 seconds into the new half, Tom Rogic finishes a cracking move to surely kill this tie.
Fellow goalscorer Vakoun Issouf Bayo flicks the ball into the path of the Australian, who coolly slots beyond Scott Fox into the bottom-right corner.
This game got under way slightly ahead of the action elsewhere.
HT: Heart of Midlothian 1-2 Aberdeen
It's great to see former Hearts manager Jim Jefferies make his first appearance at Tynecastle since what he described as a near-death experience.
The 68-year-old, who suffered a heart attack, will hope that Craig Levein's side can stage their own comeback after the break.
Image source, SNS