(This July 2 story corrects to show 62 to 38 percent exact result of EU vote in Scotland not 2 to 1 in paragraph 7)

EDINBURGH (Reuters) - Britain's Queen Elizabeth told Scottish lawmakers on Saturday that staying calm in a fast-changing world can be difficult.

Speaking as she formally opened the fifth session of Scotland's devolved parliament, she made no mention of last week's vote by Britain to leave the European Union, a result which prompted dismay in Scotland and sparked calls for another independence referendum.

"We all live and work in an increasingly complex and demanding world where events can and do take place at remarkable speed, and retaining the ability to stay calm and collected can be hard," said the 90-year-old monarch, whose role demands strict public impartiality in political matters.

She added: "As this parliament has successfully demonstrated over the years, one hallmark of leadership in such a fast-moving world is allowing sufficient room for quiet contemplation and reflection which can enable deeper, cooler, consideration about how challenges and opportunities can be best addressed."

The vote to leave the EU has led to a leadership battle in the ruling Conservative party since the resignation of Prime Minister David Cameron.

It has also plunged the main opposition Labour party into crisis after most of the shadow cabinet resigned in protest at what they saw was their leader Jeremy Corbyn's lackluster performance during the referendum campaign.

In Scotland, where the electorate voted 62 to 38 percent to remain in the EU, First Minister Nicola Sturgeon has vowed to do everything she can to keep Scotland's EU links, and is not ruling out calling a second independence referendum.

Scots rejected independence 55 to 45 percent in a 2014 referendum.

(Reporting By Elisabeth O'Leary; editing by Stephen Addison, Larry King)