Cameron White and Michael Hill ground Queensland's injury-affected attack into the MCG dust but the Bulls' openers gave the visitors a chance of escaping with a draw after three days of the Sheffield Shield match.
Following up Chris Rogers' century, Hill and White made identical scores in contrasting fashion, Hill obdurate and White more flamboyant, crashing a trio of sixes in his first Shield century since the 2009 final, and his first century in any first-class match since 2010.
The Bulls struggled without the swing bowler Matthew Gale, who has been ruled out for the remainder of the season with a tear of the medial ligament on his left knee. Nathan Hauritz was required to hold up one end and wheeled away for 54.3 overs while taking a creditable 5 for 135.
Batting again in the face of a mighty deficit, Greg Moller and Luke Pomersbach played out the closing overs of the day with some style, reaching 0 for 60 in 15 overs to show the MCG surface remained quite friendly to batsmen.