It is the first time since mid-February that more than 1,000 daily cases have been reported.
A total of 242,875 people have now tested positive for the virus since the start of the pandemic.
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Hide AdThe death toll under this daily measure – of people who first tested positive for the virus within the previous 28 days – now stands at at 7,678.
The daily test positivity rate is 3 per cent, down from 5 per cent the previous day.
A total of 121 people were in hospital on Tuesday with recently confirmed Covid-19, no change on the previous day, with 14 patients in intensive care, up two.
So far, 3,422,431 people have received the first dose of a Covid-19 vaccination and 2,313,695 have received their second dose.


It comes as new National Records of Scotland (NRS) figures show a total of 10,130 people have died in Scotland with confirmed or suspected coronavirus.
Latest data shows that eight fatalities that mentioned Covid-19 on the death certificate were registered in the week to June 6, the same as the previous week.
One was under 65, two were in the 65-74 age group and five were aged 75 or over.
There were three deaths in South Ayrshire and two in Glasgow City and North Lanarkshire. The Scottish Borders recorded one death.
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Hide AdThe statistics are published weekly and cover all deaths registered in Scotland where Covid-19 was mentioned on the death certificate.