The Tigers took three quick wickets to reduce the Bulls to 3-19 on day two, with Queensland limping to stumps on 5-74 in pursuit of Tasmania's first innings of 355.
Joe Burns (0), Sam Truloff (11) and Sam Heazlett (1) were all bowled following a lengthy rain delay after lunch as Tasmania's quicks shared the love on Wednesday.
The Bulls are feeling the absence of Test squad members Usman Khawaja, Matthew Renshaw and Marnus Labuschagne from their top order, while bowlers Michael Neser and Brendan Doggett have also missed the Shield opener while on national duty.
Queensland debutant Nathan McSweeney (24 not out) had a nervous 31-ball wait to get off the mark but survived the day alongside captain Jimmy Peirson (three not out).
Earlier former Test gloveman Matthew Wade (72 not out) and a big-hitting Jackson Bird (30) built on day one centurion Alex Doolan's (115) efforts to put Tasmania in a commanding position.
Peter George (4-76) was the pick of Queensland's bowlers while Mark Steketee (3-97) chimed in and Luke Feldman (3-75) will be on a hat-trick in the second innings after running through the tail.