But Paddison and Fox have work to do in their third rounds on Saturday at the Lake Karrinyup Country Club to move into the top-24, before the mixed-format tournament shifts to six-hole matchplay shootouts on Sunday.
Dane Thorbjorn Olesen carded a 67 to be at seven under alongside Briton Grant Forrest, Thailand's Prom Meesawat and Australian Lucas Herbert.
He scrambled out of that with a par, only to double bogey the next hole to drop to two under and slip out of contention. The American had put himself behind the 8-ball by following an opening 74 with bogeys at two of his first four holes today (10 and 13).
"It was just rough from word go, it just hit you on the first tee, it was just bang, straight in your face, just a completely different aesthetic", said Rumford.
Westwood has struggled in his third round, going four over through nine holes to fall back to four under and outside the cut line for tomorrow's six-hole match play. "I'm just going to go out and have fun, concentrate with my game". "I know the wind can really pick up in Perth, but you don't expect it to blow quite as strong as it did today and it was tricky out there".
"The course is firming up a little bit also, so it will be hard for guys to get it close to the pin, but obviously if you're playing really, really well, you could shoot a score but it's definitely going to be tough".More news: Rise in oil prices dented United Kingdom trade in December
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"I don't think this is a tournament where you want to be playing catch-up", Westwood said after his 66. Speaking afterwards, Fung was happy with his performance as this is the third time he played in the same golf course, while praising the ideal condition in the morning which was less breezy and helped him to shoot a low score.
The top eight qualifiers have a bye in first round of matchplay on Sunday.
England's 2016 Masters champion Danny Willett missed the cut after finishing a disastrous seven-over, while countryman Andrew "Beef" Johnston (five-over) will also miss the weekend.
And he said the match play component made it hard to predict who will come out on top.
"It's not always the case but generally you find as a trend that a lot of players go back and play well when they've had a lot of good performances there, and this is one of them".