But 40-year-old Brown led the revival, smashing 42 from 46 balls before he was lbw to Sean Ervine.
The 22-year-old took the first four wickets to fall before Blackwell pinned Samit Patel lbw 122-5.
And, when Parry trapped Tim Ambrose lbw, the visitors were 88-4 in the 21st.
But Maharoof had Cann caught behind for a spirited 28 before Leverock was lbw to Muralitharan.
Watson's miserable tournament continued when he was out lbw for one as Ngoche struck again.
He bowled Lameck Ngoche (seven) and trapped Hiren Varaiya (20) lbw with two balls remaining.
Eventually, Broad capitalised with a delivery that curved back into Boucher, removing the right-hander lbw.
Dale Steyn brought Bond to the crease as night-watchman when he had Cumming lbw for 12.
When he was unluckily given out lbw to Harbhajan Singh, it was game over.
Umpire Tiffin despatched him lbw to James Anderson and the batsman asked for a review.
Gale followed lbw three runs later, having completed a solid half-century off 76 balls.
But when Alviro Petersen was given an exploratory over, he struck immediately, trapping Benn lbw.
He also ousted fellow leg-spinner Beau Casson lbw for a duck during his 34 overs.
Sangakkara top-edged a pull while Dilshan was trapped lbw first ball by a brilliant inswinger.
The final wicket was taken by Thomas Odoyo, who had Laden Gamiet lbw for 22.
Kayes came close to falling lbw to Swann, but Tamim for a while was unstoppable.
The umpire at the bowler's end makes decisions on lbw decisions, no-balls, wides and leg byes.
The Indian umpire RS Rathore holds the record for the highest average of lbw decisions per match.
Paine edged Gul behind and Smith was adjudged lbw to Kaneria's top-spinner - despite an inside edge.
Hogg trapped Lumb lbw and Keedy removed Carberry and Benham to leave the visitors wobbling on 71-4.
Then, in Shantry's next over, Martin van Jaarsveld also shuffled across to become the third lbw victim.
Bangladesh's lone dismissal before lunch was Nathan Astle who was trapped lbw for 69 by Mohammad Rafique.
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Ramnaresh Sarwan helped Hinds add 55 before he was lbw to Darren Lehmann's left-arm spin for 27.
Both fell lbw to Lasith Malinga, whose unorthodox slinging action again caused problems for the Kiwi batsmen.
Chris Gayle was bowled for 37, made up of nine boundaries, and Wavell Hinds lbw for 26.
He deserved a third, but umpire Daryl Harper declined an lbw appeal against McCullum that looked out.
Hall, who faced four balls without scoring, then became the next batsman out lbw, dismissed by Rayner.
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Chanderpaul rallied with Lionel Baker, putting on 37 before he was adjudged lbw to Chambers for nine.
Ormond was left unbeaten when Tudor was trapped lbw to become Glen Chapple's fifth victim of the innings.
Hayden departed in the next over, lbw to a quicker, flatter delivery from Harbhajan and India could relax.
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