Scott's round took some time to get moving in a positive direction but an eagle at the 8th hole began a run of under par scores and although he bogeyed his 17th hole he birdied the last to finish with his 6 under par round.
Scott returned to tournament golf two weeks ago at the Sony Open but missed the cut as he battled with the impact of a break from tournament golf since the HSBC Champions event in China in November.
He opened with a round of 70 on the more demanding South Course yesterday but he showed significant progress today.
Jason Day played the South Course, one of two layouts being used in the opening two rounds, and struggled in comparison to his opening round of 67 at the North Course yesterday. The defending champion is now in 30th place and nine shots from the lead.
Cameron Smith is 48th along with Marc Leishman, Matt Jones and Cameron Davis, that completing the Australians to make the cut.
Rose leads by three over Japan's Hideki Matsuyama with 2017 champion Jon Rahm, Ryan Palmer and Billy Horschel.
Tiger Woods, a seven time winner of this event is at 4 under and in 48th place.
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