Rawdon gained a vital win to boost their survival hopes in Division A when they took on Kirkstall Educational in a 37 over a side game.
Chasing the home side's score of 183-9, of which Alan Siddall made 70 and Jon Knibbs 54, Rawdon gained victory in the 35th over.
This pair shaed a fourth wicket stand of 42.
A superb knock of 42 from opener Bruce Percy along with a fine unbeaten stand of 46 for the fifth wicket between Mark Hutton (68 no) and Denis Rock (26 no) saw Rawdon home.
Earlier Percy had been the dominant force in a first wicket stand of 37 with Graham Dobson making just five before being caught by S Harrison off the bowling of Hudson.
The win left them five points ahead of Menston with Hall Park at the bottom a further eight points adrift.
Menston were unable to match the North Leeds score of 174-8 and Richard Taylor's valiant bowling effort, in which he took 7-92 off 17 overs, was to no avail.
North Leeds had made a poor start as Taylor made inroads and they were 67-4 but then M Kellaway steadied things with a knock of 42 and N Baker contributed 28 not out.
Menston were dismissed for a mere 63 in reply as Nick Richardson hit back with 7-32 off 12 overs and was well backed up by young Farhan Khan with 2-9 and Steve Wales with 1-13.
Richardson included a hat-trick in his fine return and the win helped his side cut Bilton's lead at the top to just three points.
Otley played a 35 over game against Follifoot and only an unbroken last wicket stand of 29 between Carl Smith (33no) and Andy Chaplin (9no) gave them a respectable 132-9.
Otley had struggled against some steady Follifoot bowling with S Taylor bagging 3-38 off 12 overs leading the way.
Carl Smith became Otley's top scorer while David Taylor made 28.
Follifoot lost a couple of early wickets but were then steered to victory with Neil Walker hitting 39 not out and M Halmshaw 35.
For Otley Andrew Burke bagged 3-33 off a good 15 over spell but he lacked support.
Beckwithshaw bagged four points from a drawn game with Adel after making 121-3 in a 35 over a side game.
Tim Grey took 5-36 for Adel but then saw his side fall short in the batting finishing on 113-9 as Matthew Smart took 4-50 and Andy Gott 3-49.
Hall Park's game at Guiseley was abandoned without a ball being bowled as was Green Lane's home game with Bilton.
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