A brilliant unbeaten century from Ben McDermott has steered Queensland out of trouble to give them a fighting chance in their Sheffield Shield match against Tasmania.

Playing against his former state, McDermott smashed 146 not out after coming to the crease with the Bulls reeling at 3-24 on day one at the Gabba on Saturday.

The 29-year-old's third first-class century pushed Queensland to 282, a competitive total considering their start after they elected to bat first.

At 5-110, McDermott put on a crucial 100-run stand with tireless bowling allrounder Michael Neser (47) to rebuild the innings against the ladder-leading Tigers.

McDermott, who hit 17 fours and three sixes, hung in with the tail and was there at the end when legspinner Mitchell Swepson was dismissed by Billy Stanlake.

Former Bulls quick Stanlake used his knowledge of the Gabba exceptionally well, finishing with 4-50.

Fellow Tigers quick Gabe Bell was also outstanding, claiming 4-40.

At stumps, Tasmania were 0-33, with Tim Ward (17) and Caleb Jewell (15) navigating a tricky 25-minute period before the close of play.