Supported by wicket-keeper Chris Hartley's 66, Symonds rescued Queensland after former Test bowler Jason Gillespie (2-34) and Paul Rofe (2-43) had them 88 for four soon after lunch on Sunday.
Queensland had reached 322 for eight with Andy Bichel (25) and Mitchell Johnson (4) the not out batsmen when rain and poor light brought stumps 10 overs from the close.
Symonds crashed 97 runs between lunch and tea in his chanceless hand.
In Hobart, Victoria was 323 for five in its second innings, leading Tasmania by 143 runs, at the close of the third day of their match match at Bellerive Oval.
Michael Klinger hit a maiden first-class with 107 and at the close captain Cameron White was not out on 44 with Jonathan Moss six.
In Hobart (day three): Tasmania 347 (T. Birt 93, D. Dawson 73; M. Lewis 4-73, C. White 3-48, G. Denton 3-80) v Victoria 167 (N. Jewell 43, C. White 35; A. Griffith 4-50, B. Hilfenhaus 4-59) and 323 for 5 (M. Klinger 107, B. Hodge 70, D. Hussey 50; S. Kremerskothen 2-63, B.Hilfenhaus 2-103).
In Adelaide (day one): Queensland 322 for 8 (A. Symonds 163, C. Hartley 66; J. Gillespie 2-34, P.Rofe 2-43, M. Cleary 2-72) v South Australia.