Pagett, from Newport, will face title holder Stephen Maguire, who came back from 3-1 down to beat Sam Baird 4-3.
Judd Trump showed signs of a return to form by beating Jamie Burnett 4-1.
Bristol's Trump, who suffered three first-round exits from ranking tournaments earlier this season, saw off Hamilton's Burnett comfortably.
"I am still getting a bit of bad run," Trump said. "He could have pinched the first frame with a fluke when I was in control and it would have followed the pattern of my year.
"But I potted a good pink to win it and then felt in control. I felt good and confident out there. I am getting to somewhere near my best."
Three-time winner John Higgins is also through to the last 32 after beating Ken Doherty 4-0, while world number two Mark Selby claimed a 4-1 win over Dave Harold to set up a clash with Dominic Dale, who beat Thailand's Dechawat Poomjaeng 4-1.
Matthew Stevens is also through after a 4-2 victory over Ian Burns.
Fellow Welshman Michael White bowed out of the tournament following a 4-3 defeat to China's Xiao Guodong.
Marco Fu, of Hong Kong, secured an impressive 4-1 victory over Norway's Kurt Maflin with breaks of 65, 81, 90 and 62 while England'sJoe Perry strolled to a 4-0 win over China's Liu Chuang with breaks of 115 and 77.
Two century breaks helped Mark Allen secure his passage into the last 32 with a 4-2 win over Noppon Saengkham.
Thailand's Saengkham took the opening frame but Allen responded with breaks of 101 and 106.
Saengkham levelled the match but Northern Ireland's Allen produced a break of 61 before clinching a scrappy sixth frame to complete the win.
Scotland's Scott Donaldson made a break of 118 during his 4-1 defeat of David Gilbert and Andrew Higginson edged past fellow Englishman Jimmy Robertson 4-3 with breaks of 54 and 66.
James Wattana overcame Tom Ford 4-2, a win that included a break of 73, and 19-year-old Joel Walker scored one of his best results so far with a 4-3 defeat of world number 13 Mark Davis.
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