Listen to live Sportsound commentary from Ibrox
FT: Rangers 2-0 Ayr United - Barisic nets deflected opener & Silva doubles lead in closing stages
FT: Partick Thistle 2-3 Livingston - McInroy & Fitzpatrick strike put hosts two up before Nouble double forces extra time & Yengi scores in 120th minute
FT: Aberdeen 2-0 Bonnyrigg Rose - Miovski tucks in opener against fourth-tier visitors then volleys second
FT: Inverness CT 1-3 Hibs - Maolida nets deflected second-half strike then Boyle & Youan extend lead before Doran's late reply
FT: Kilmarnock 2-0 Cove Rangers - Van Veen hits bar for hosts before Watkins scores opener on stroke of half-time & Armstrong drills second
Championship: Dunfermline 0-3 Queen's Park
Remaining two Scottish Cup last-16 ties take place on Sunday
Draw for quarter-finals on Sunday Sportscene, BBC One Scotland (16:30 GMT) before Airdrie v hearts
Despite Aidan Fitzpatrick's second-half goal, Livingston found some fight from somewhere and this game goes to extra time.
It's a Joel Nouble double that has given Livingston a chance to get into the quarters. Do they have enough to find another goal?
Image source, SNSClinical Hibernian ease aside last season's beaten finalists, Inverness Caledonian Thistle, with three second-half goals to progress to the quarter-finals.
Myziane Maolida's wickedly deflected drive put the Premiership visitors on their way before Martin Boyle rounded goalkeeper Mark Ridgers for the second and his cross was turned in by Elie Youan.
Aaron Doran's fine volley in the dying seconds was mere consolation for the hosts.
Image source, SNSMyziane Maolida (right) opened the scoring
Aaron Doran
An absolute beauty on the volley at the back post arrows into the far corner.
A consolation but probably goal of the round so far.
Kilmarnock progress to the last eight thanks to Marley Watkins' flick and Danny Armstrong's fine finish.
Cove had their moments, but didn't do enough to trouble their Premiership opposition.
Not sure many sides will fancy a trip to Rugby Park in the quarter-finals.
Image source, SNSMacKenzie Carse
A third Queen's goal in a sobering afternoon for Dunfermline.
Kilmarnock 2-0 Cove Rangers
That was so, so close for Kyle Vassell.
The Kilmarnock striker does excellently to chip Neil Suman, who gets back just in the nick of time to claw the ball off the line.
At first that looked a definite goal, but replays show it's timely goalkeeping.
Elie Youan
It's all over now.
A quick break from the visitors and Martin Boyle's low cross is knocked in by a combination of team-mate Elie Youan and a home foot.
Bojan Miovski's first-half double is enough for Neil Warnock's men in the new gaffer's first game in charge at Pittodrie.
The in-form North Macedonian striker now has 22 for the campaign after finishing off moves teed up for him by Shayden Morris and Dante Polvara.
League Two outfit Bonnyrigg Rose exit the Scottish Cup with their heads held high after a resilient, and often impressive, showing.
Image source, SNSAberdeen 2-0 Bonnyrigg Rose
Amy Canavan
BBC Scotland at Pittodrie
Aberdeen ultras are bursting out in song, but the Rosey Posey are outdoing them... it must be said.
What a day they've had. It might be nearing an end on the pitch, but I have a sneaky suspicion their night is far from over.
Joel Nouble
'Noubz' has turned it around Livi - and what a finish!
The forward receives it deep in the Thistle box, gets it on his right and toe-pokes it into the top corner. Audacious!
Partick Thistle 2-1 Livingston
That would have been the goal of the round if that had gone in.
From 20 yards, Tomi Adeloye chops on to his right and hits a dipping, curling shot that smacks the post.
Almost an absolute worldie that would have ended this game.
Danny Armstrong
And Kilmarnock will be joining them.
Fine finish from Danny Armstrong, who rifles home Rory McKenzie's cross.
That's 17 goal contributions for the winger this season. No bad.
Martin Boyle
That's Hibs into the hat, surely?
On-loan Livingston Morgan Boyes makes a mess of his attempt to clear a long ball out of the visiting defence, Martin Boyle pounces and it is no surprise when the Australia winger rounds goalkeeper Mark Ridgers and finds the empty net.
Inverness Caledonian Thistle 0-1 Hibernian
Image source, SNSMyziane Maolida fired Hibs into the lead
Kilmarnock 1-0 Cove Rangers
Hands on head for those Cove Rangers players.
There's a huge ping-ball situation in the box in a moment of madness, but nobody in white can capitalise to get a shot away.
Kilmarnock still not comfy here.
Partick Thistle 2-1 Livingston
Livingston are knocking on the door for an equaliser here.
Joel Nouble looks buoyed from his goal and is causing all sorts of bother for the Thistle defence.
Dom Thomas
The away side double their lead.
Inverness Caledonian Thistle 0-1 Hibernian
So close to a Caley Thistle equaliser.
A flicked header from on-loan Dundee defender Cammy Kerr takes a deflection and off the crossbar.
Aberdeen 2-0 Bonnyrigg Rose
A crucial block from Neil Martyniuk flicks Nicky Devlin's goal-bound strike over the bar.
With Aberdeen remaining vigilant and Bonnyrigg still hungry for a goal to get themselves back into the tie, we've still got a decent game on our hands here at Pittodrie.
Rangers v Ayr United (17:30)
Rangers: Butland, Tavernier, Souttar, Goldson, Barisic, Jack, Raskin, Diomande, Cortes, Wright, Silva.
Substitutes: McCrorie, Yilmaz, Lundstram, Dessers, Cantwell, Matondo, Davies, King, McCausland.
Ayr Utd: Mutch, McAllister, McGinty, Stanger, Reading, Dempsey, Syla, Chalmers, McKenzie, Murphy, Dowds.
Substitutes: Albinson, Sanders, McGeady, Tomlinson, Musonda, Willoughby, McHugh, Bryden, Guthrie.