A focused English outfit commenced with a 35-5 result over Papua New Guinea while the defending HSBC World Rugby Sevens Series champions, South Africa, beat Spain 38-0.
The Cup Quarter-finals draw is: Fiji v USA, South Africa v Kenya, Australia v New Zealand, Argentina v England.
However, England, in the first match of the day at Allianz Stadium, got into their stride quickly and captain Tom Mitchell and Dan Bibby crossed after Papua New Guinea were down a man following a yellow card.
New Zealand, coming off a win at the previous world series tournament In Cape Town, play Fiji in their third and final pool match later on Saturday.
Canada beat Russian Federation 19-5 to top Pool C after beating Fiji 24-12 and Ireland 24-12.
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Trans-Tasman rivals Australia and New Zealand will also meet Sunday in the women's final after steering unbeaten paths through the tournament's pool and knockout rounds.
However the last Pool match between the Sevens giants was the match of the day and played at a frenetic pace with Fiji scoring after the final whistle to beat New Zealand 19-17.
The Canadians finished first in Pool C after going 3-0 during the opening day of competition at the 12-nation tournament.
Emilee Cherry then propped, stepped and accelerated down the left wing to outsmart the Spanish defence and score Australia's second.
But Quirk says Australia's superb form, which has seen them progress without conceding a point in any of their five games, means they could sleep soundly.
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Emma Tonegato scored in the same spot shortly before halftime to give Australia a 12-0 lead at the break.
"New Zealand, current world champions and on fire", Australian coach Tim Walsh said.
"When we needed to tackle, we tackled, but (we just said) just get back to your feet and reload, put the pressure on them in our defensive structures and get in off the line and let them make the error rather than us trying to solve the problem".
Dan Norton's superb try from deep ensured England scored three times in the half-time, before Richard de Carpentier and a second from Mitchell set up a group decider against South Africa.
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