BBC's Gaza and West Bank correspondent Jon Donnison has tweeted:
IDF: No fire in either direction since midnight but say before that 3 rockets fired after ceasefire came into effect . 2 shot down. #Gaza
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Accompanied by the Duke of Edinburgh, the Queen will attend the opening ceremony of the fifth session in the Holyrood chamber.
Ms Leadsom has received the backing of Ian Duncan Smith, the former work and pensions secretary.
The former shadow work and pensions secretary is considered a more viable candidate than Angela Eagle, a Labour source has told ITV News.