Australia, buoyed by Justin Langer's 191, skittled Pakistan for 179 on the second day of the first Test in Perth to take total control of the match.
Ricky Ponting then decided against enforcing the follow-on as Australia reached 15 without loss in their second innings, for an overall lead of 217 by the close.
Australia seamer Michael Kasprowicz took five for 30 from 16.3 overs while leg spinner Shane Warne claimed three for 38.
Pakistan would have been in even more disarray if it had not been for a 60-run stand between Shoaib Akhtar and Mohammad Sami for the ninth wicket.
"If you saw how Shoaib Akhtar and Mohammad Sami batted, really it was a disgraceful performance up the front (of the order)," Woolmer told reporters.
"There were two terrible shots...which really were unnecessary, when we were just sort of building up a partnership. It was a very frustrating day."
In another blow for Pakistan, Shoaib limped off the field near the end of the day, although Woolmer said he would be fit for Saturday.
The bowler, who took five for 99 in Australia's first innings, was also fined 40 percent of his match fee after pointing Matthew Hayden directions to the dressing room following his dismissal on Thursday.
Australia had resumed on 357 for eight at the WACA and added a further 24 runs before Langer was the last man out after a magnificent 21st Test century.
Langer hit 19 fours and three sixes, batting for almost seven hours. Running out of partners, he was caught at point from an attempted lofted drive.
WILD STROKES
The home side then quickly pressed home their advantage as the touring side imploded. But while Australia bowled superbly, they were helped by some wild strokeplay.
Pakistan reached 45 for one before seven wickets tumbled for 66.
Imran Farhat (18) was first to go, flicking at a ball down the leg side from Jason Gillespie and snicking to wicketkeeper Adam Gilchrist.
Kasprowicz had Salman Butt caught behind for 17 then removed Inzamam-ul-Haq with a beauty, bowling the Pakistan captain for a single.
The Queenslander had Yousuf Youhana caught behind for one in his next over to make it 60 for four.
Warne also struck in successive overs, removing Younis Khan (42) and Abdul Razzaq (21), slogging across the line, after the pair had added 48 for the fifth wicket.
Pakistan lost four wickets for three runs to slump to 111 for eight at tea.
Shoaib's 105 minutes and 27 runs of defiance ended when was caught at first slip by Warne off Glenn McGrath. Sami then hit out and was caught by Michael Clarke at deep backward point for 29, giving the 32-year-old Kasprowicz his fourth five-wicket haul in his 29th Test.
Woolmer said he was concerned about his side's tactics against Warne, who lifted his world record tally to 555 wickets.
"Either they fancy him and try and hit him out of the ground, or they just lose their heads at a specific stage," Woolmer said.
Scorecard:
Australia first innings (357-8 overnight)
J.Langer c Younis Khan b Mohammad Sami 191
M.Hayden lbw b Shoaib Akhtar 4
R.Ponting b Mohammad Sami 25
D.Martyn c Kamran Akmal b Mohammad Sami 1
D.Lehmann b Shoaib Akhtar 12
M.Clarke c Inzamam-ul-Haq b Shoaib Akhtar 1
A.Gilchrist b Abdul Razzaq 69
S.Warne c Yousuf Youhana b Abdul Razzaq 12
J.Gillespie c Kamran Akmal b Shoaib Akhtar 24
M.Kasprowicz lbw b Shoaib Akhtar 4
G.McGrath not out 8
Extras (b-1, lb-14, w-5, nb-10) 30
Total (all out, 90.5 overs) 381
Fall of wickets: 1-6, 2-56, 3-58, 4-71, 5-78, 6-230, 7-253, 8-333, 9-362
Bowling: Shoaib Akhtar 22-1-99-5 (nb-1, w-1), Mohammad Sami 25.5-3-104-3 (nb-3, w-2), Mohammad Khalil 16-0-59-0 (nb-1, w-1), Abdul Razzaq 12-0-55-2 (nb-5, w-1), Danish Kaneria 15-2-49-0.
Pakistan first innings
Salman Butt c Gilchrist b Kasprowicz 17
Imran Farhat c Gilchrist b Gillespie 18
Younis Khan c Gillespie b Warne 42
Inzamam-ul-Haq b Kasprowicz 1
Yousuf Youhana c Gilchrist b Kasprowicz 1
Abdul Razzaq b Warne 21
Kamran Akmal b Kasprowicz 2
Mohammad Sami c Clarke b Kasprowicz 29
Mohammad Khalil b Warne 0
Shoaib Akhtar c Warne b McGrath 27
Danish Kaneria not out 6
Extras (b-1 lb-3 w-7 nb-4) 15
Total (all out, 77.3 overs) 179
Fall of wickets: 1-32 2-45 3-55 4-60 5-108 6-110 7-110 8-111 9-171
Bowling: McGrath 19-7-44-1, Gillespie 14-2-43-1 (w-2), Kasprowicz 16.3-6-30-5 (nb-4), Warne 21-9-38-3 (w-5), Lehmann 4-2-5-0, Ponting 3-1-15-0
Australia second innings
J.Langer not out 3
M.Hayden not out 7
Extras (lb-5) 5
Total (for no wicket, 3 overs) 15
Bowling: Shoaib Akhtar 1.3-0-5-0, Mohammad Sami 1-0-4-0, Abdul Razzaq 0.3-0-1-0.