Ryan Harris (4-77), who removed McCullum thanks to Michael Clarke's slip catch, added two more strikes.
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Earlier, Ryan Harris and Mitchell Johnson took three wickets each as New Zealand were bowled out for 245.
The 31-year-old will cover for Ryan Harris while he is playing for Deccan Chargers in the Indian Premier League.
Identification expert Ryan Harris, for instance, spends much of his working life at the newly-opened laboratory in other people's shoes - literally.
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England had a close shave in the second over of their innings when Strauss edged Ryan Harris just short of Ponting at second slip.
Wicketkeeper Brad Haddin had launched a loud but lone appeal for caught behind, convinced Pietersen, who was on 49, had nicked the ball from seamer Ryan Harris.
"We felt it was important to have an experienced overseas bowler at the club in the period before Ryan Harris joins us, " said Yorkshire director of cricket Martyn Moxon.
Resuming on their overnight total of 166 for six, it wasn't long before India's resistance broke as Ishant Sharma edged a delivery from Ryan Harris to keeper Brad Haddin.
However, with a quick, bouncey Waca wicket continuing to reward good bowling and punish poor batting, Mitchell Johnson and Ryan Harris both struck twice to leave England 81-5 at the close of play.
The seamers fared a little better with Peter Siddle, Mitchell Johnson, Ben Hilfenhaus, Ryan Harris and Doug Bollinger all inflicting occasional damage on the English batsmen, but critics suggest they suffered from indecision by the selectors.
BBC: Hilditch defends Australia selectors despite Ashes loss
With Clarke taking over as skipper for the Sydney showdown, which starts on Sunday night UK time, other Australian changes include the introduction of Pakistan-born batsman Khawaja, 24, and Doug Bollinger replacing another injury victim Ryan Harris.
Ryan Harris's match in Adelaide may have been his first for nine months because of a knee injury but still managed to top the country's bowling statistics before suffering a broken ankle during the fourth Test in Melbourne.
BBC: Hilditch defends Australia selectors despite Ashes loss
Cameron White fell cheaply and David Hussey, Brad Haddin, James Hopes and Ryan Harris - making his ODI debut in place of Shaun Tait - hit just two boundaries between them as they got bogged down in the final overs.
Skipper Daniel Vettori was caught in the slips off Ryan Harris for 46 from the fifth ball of the day and after a bright and breezy 24 from Brendon McCullum, the last five wickets went down for only nine runs.
Ryan Herbert and Brendan Harris, both from Bacup, were jailed for life in 2008 for Miss Lancaster's murder, and for causing grievous bodily harm to Mr Maltby.
BBC: Goth murder victim Sophie Lancaster remembered at match
Ryan Herbert and Brendan Harris, both from Bacup, were jailed for life in 2008 for Miss Lancaster's murder, and for causing grievous bodily harm to her boyfriend Robert Maltby.
Robert Karlsson, Harris English and Ted Potter Jr. shot 64, and two-time major champion Angel Cabrera, Ryan Palmer and Camilo Villegas were at 65.
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