Victoria reported more than 7300 new virus cases and 16 deaths on Sunday, NSW more than 6500 infections and four fatalities.
There were 3047 cases in Queensland and two deaths, 7100 infections and seven deaths in Western Australia and one death in Tasmania.
This follows the nation having reported 58 deaths in total on Saturday along with almost 34,000 cases.
Australia's active virus caseload is almost 305,000, with more than 2700 patients recovering in hospitals.
Meanwhile, one of Australia's leading charities warns the effect of COVID-19 on children's education is not over.
A survey from the Smith Family has found one in two parents and carers feel the pandemic is still making learning difficult for their children.
Roughly three-quarters of parents and carers worry about their children's future schoolwork and have struggled to help them during the pandemic.
Two-thirds say the virus has made it hard to start school this year.
The report comes as the charity kicks off its latest winter appeal, hoping to raise $5.4 million nationally to support 12,000 students through mentoring and after-school programs.
Elsewhere, almost 600,000 Victorians have lodged pandemic rebate claims for pottery classes, museum exhibitions, winery lunches and other events in the month since they were offered.
More than a quarter of the applications have been for the theatre and performing arts, with Hamilton and Harry Potter and the Cursed Child most popular, says Tourism Minister Martin Pakula.
Cinema purchases accounted for 26 per cent of claims, while live music also featured prominently with 13 per cent of customers claiming for gigs.
The Victorian government launched the scheme on March 29.
"We are encouraging Victorians to take up this fantastic opportunity to get out, grab dinner, see a show and support some of the local businesses hardest-hit by the pandemic," Mr Pakula said.
LATEST 24-HOUR COVID-19 DATA:
Victoria: 7372 cases, 16 deaths, 507 in hospital with 30 in ICU
NSW: 6545 cases, four deaths, 1146 in hospital with 33 in ICU
Northern Territory: 175 cases, no deaths, 21 in hospital, none in ICU
ACT: 583 cases, no deaths, 82 in hospital, two in ICU
Queensland: 3047 cases, two deaths, 374 in hospital, seven in ICU
WA: 7100 cases, seven deaths, 315 in hospital, eight in ICU
SA: 2312 cases, no deaths, 217 in hospital, nine in ICU
Tasmania: 736 cases, one death, 50 in hospital, two in ICU.
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