From this point on, the tournament enters a knockout stage but following their opening night disappointment against Japan, the Gems have looked like one of the teams to beat and they now await other results to find out their opponent for tomorrow's night Round of 16 clash.
Their performances at the start of quarters got the job done against Hungary and they were on song from the start of the game, opening up an 8-2 advantage early.
Monique Conti (two points, two assists, one steal) exemplified the Gems' intent with a desperate dive to force a jump-ball and with Australia retaining possession, Kiera Rowe (seven points) hit a three.
Their attack on the basket helped them knock down seven free-throws as well as they took a double-digit lead into quarter-time but Hungary responded with the first seven points of the second term.
Australia's shooting percentage from the field dropped below 20% but Chloe Bibby ended the drought with a three-pointer.
They then began to dominate on the glass, pulling down 20 offensive boards for the half and those second chance opportunities courtesy of Ezi Magbegor and Anneli Maley (four points, ten rebounds- six offensive) started to take their toll on the Hungarians.
However, it also meant that the Aussies were missing a lot of shots and their 21% mark from the field gave them just a five-point edge at the main break.
Those shooting woes did not carry over into the second half though as Jazmin Shelley and Bibby drilled back-to-back three's to start the third period.
That sparked a 17-4 run for the Gems as they took control of the contest once again, putting some full court pressure on their opposition for good measure while Rocci (11 points, two assists) flew down the court for coast-to-coast lay-ups and Magbegor and Bibby (12 points, eight rebounds) showed their handles in the open floor.
Magbegor (18 points, ten rebounds, four steals, two blocks) then clocked up her first double-double of the tournament early in the last quarter as the Aussies came out firing once again in the first few minutes.
An 8-0 run clinched the contest, holding Hungary scoreless for four minutes before Shelley (12 points, five assists, three steals) put the finishing touches on the game with some impressive three-point bombs.
While their first-half shooting display left something to be desired, the Gems ended up hitting 31% from the field and 7-18 (39%) from beyond the arc while their incredible 29 offensive boards gave them an overall +17 edge in rebounds.
Find the box score here and watch a replay of the game vs. Hungary below.
Stay tuned to Basketball Australia's social media channels for information on their Round of 16 contest as well as a link to the live-stream.
Australia's Schedule for the Under-19 Women's World Championships (all times AEST):
July 26: Round of 16
July 28: Quarter-Finals
July 29: Semi-Finals
July 30: Bronze and Gold medal games