World Snooker Championship 2018: Mark Williams joins Ding Junhui and Judd Trump in last eight

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Williams knocks out qualifier Milkins - five best shots
2018 World Championship
Venue: Crucible Theatre, Sheffield Dates: 21 April - 7 May
Coverage: Watch live across BBC One, BBC Two, BBC Red Button, Connected TV, the BBC Sport website and mobile app.

Two-time champion Mark Williams completed 2018's Crucible quarter-final line up with a routine 13-7 win over English qualifier Robert Milkins.

Resuming 10-6 up, world number seven Williams took the opening frame with a break of 101, moving within two of the victory before Milkins hit back.

But the Welshman, 43, closed out the match with stylish breaks of 83 and 72.

Williams, already a double ranking event winner this season, faces Ali Carter in the last eight.

Relative veteran Williams, the oldest player left in the competition, has been a resurgent force on the tour this season, climbing back into the world's top-16 and ensuring his place at snooker's showpiece event this season.

"How I ended 10-6 up yesterday is unbelievable really. I was quite poor for the first two sessions," said Williams, who won the Northern Ireland Open in November 2017 and the German Masters in February.

"I let the conditions get to me and I don't really why. But the last session was pretty much how I have been playing all season.

"We're in the quarter-finals now I am just looking forward to playing. If I can carry on the way I finished off then I will be much happier."

World number 37 Milkins was the last remaining qualifier left in the tournament, with all seven first-round winners falling by the wayside at the last-16 stage.

Walden 'Trumped' for last-eight spot

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'Awesome' Trump into quarter-finals - best five shots

World number four Judd Trump avoided a repeat of his tense first-round win against Chris Wakelin by winning five frames in a row to beat Ricky Walden.

The match was level at 8-8 overnight and qualifier Walden, the former world number six, took the opener.

But 2011 Crucible runner-up Trump scored three consecutive 50s to take control at 11-9.

He moved to within one of victory and clinched a 13-9 win with a stylish century to also progress.

Trump's match-sealing 103 was his third of the contest and sets up a mouthwatering last-eight tie against four-time champion John Higgins - a repeat of the thrilling final from seven years ago.

The Bristolian left-hander's ability to produce under pressure was in stark contrast to an edgy and fortuitous final-frame victory against Crucible debutant Wakelin in the first round.

Trump, 28, scored nine breaks of more than 50 in the final 12 frames.

Ding sets up quarter-final with Hawkins

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Ding dominates against McGill - best five shots

Earlier, Ding Junhui won the solitary frame he needed to complete a 13-4 win over Scotland's Anthony McGill and reach the quarter-finals.

The world number three and bookmakers' favourite for the title was in imperious form as he built an 8-0 lead after the first session on Sunday.

McGill battled impressively to recover to 12-4 overnight, but Ding got over the line immediately on the resumption.

The Chinese star, 31, plays number six seed Barry Hawkins in the last eight.

Ding, a 13-time ranking event winner, is seeking to become the first Asian player to triumph in snooker's showpiece event and fully justified his billing as the tournament favourite in defeating 27-year-old McGill, the 14th seed.

"I was focused and relaxed and took every chance to make breaks," said Ding, who also revealed he is going to be a dad later this year. "I feel good and I am playing well.

"Barry is a great player. It will be a tough game. He plays well at the Crucible every year."

Two centuries and five further breaks of more than 50 in a devastating first session put him on the verge of victory.

McGill's response to being outscored by 806-86 points was to share the eight frames in session two and ensure he was not beaten with one to spare.

But breaks of 52, 74 and 97 only delayed the inevitable and Ding wasted no time in sealing his fourth consecutive quarter-final appearance at the Crucible.

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