When play stopped on Tuesday, New South Wales were 125 for six in reply to Queensland's 431 for five declared. Mark Waugh was on 18 and Matt Nicholson on seven.
Only 10 overs play were possible and New South Wales, resuming at 96 for four, sank into even deeper trouble losing Steve Waugh and Aaron O'Brien for the addition of only 29 runs.
New South Wales, already 335 runs in arrears on the first innings, need six points from an outright win to remain any chance at all in the competition.
Joe Dawes took 3-44 to send both Waugh and O'Brien packing in his fourth over, thanks to edges to skipper Jimmy Maher at second slip.
In Adelaide, experienced batsmen Darren Lehmann and Greg Blewett held South Australia's victory hopes in their hands at stumps on day three in the match against Victoria at Adelaide Oval.
Chasing 354 in the final innings to win, South Australia were 75 for two at the close of play with skipper Lehmann on 22 and Blewett on 38, the pair having put on a 46-run unbroken stand. After leading by 81 on the first innings, Victoria resumed their second innings at 13 for one and was all out for 272 early in the final session.
Brad Hodge continued his excellent season by top-scoring with 86, to go with his 81 in the first innings, before he was caught at leg-slip from the bowling of off-spinner John Davison.
Maher sends clear signals to Australian selectors