WATCH: Prime Minister tells Marr of her G20 plans and Brexit optimism

She says that while leaving the EU won’t be ‘plain sailing’, it offers many new opportunities.

May arrives in China as the first post-Iraq war Conservative leader

To date, she has seen foreign affairs through the prism of domestic security rather than that of intervention abroad.

David Skelton: We need a new generation of low-rent homes – and the Government can help to provide them

Polling by Shelter showed that such a scheme that tackled the housing crisis and gave the low-paid a helping hand on to the housing ladder would also be hugely popular.

Alexandra Jones: May can build an economy for all by harnessing our cities

Research shows that places like Manchester, Birmingham, and Leeds are overwhelmingly preferred by growth-driving business, and lift their rural hinterlands too.

Andrew Mitchell: Nigeria offers huge opportunities to post-Brexit Britain

We have deep historic ties to a future continental leader and one of the fastest-emerging global economies.

Do you want a hard Brexit or a soft Brexit? Take our monthly survey.

What is your preferred relationship with the EU? Also: how well are the members of the Cabinet performing?

Ashley Fox: Lower immigration and the single market. We can have our cake and eat it.

The starting point for our negotiations should be to retain full access to – but not membership of – the Single Market, while also taking full control of our borders.

Daniel Hannan: Repeat after me. Single market membership and single market access are not the same thing.

Of course we will sell to EU customers after Brexit. But there’s no reason to subject our whole economy to EU regulations.

WATCH: May chairs Brexit Cabinet meeting at Chequers

“We’ll be looking at the opportunities that are now open to us as we forge a new role in the world.”

The EU’s Apple ruling is an economic and diplomatic opportunity for the UK

It’s also a reminder of how fortunate we are to be leaving this overbearing organisation.

Profile: Philip Hammond, the Goth with “lovely long silky hair” who became Chancellor

He supports single market membership and is unlikely to enthuse about an industrial strategy. Meet the man who could make or mar May’s premiership.

Henry Hill: Davidson savages Corbyn’s IRA sympathies

Also: Davies warns Welsh Assembly could be ‘swept away’; Brown bids to unpick the UK; SNP under pressure on finances and education; and more.

Lorraine Platt: Brexit must mean more regulations on animal farming, not less

Escape from the EU’s free trade rules gives us the opportunity to introduce a wide range of new welfare measures.

When we asked May whether her perfect evening out would be at the Carlton Club or Stringfellows

The Prime Minister has given an interview, which reminds us of another one…

Enterprise Zones have proved a quiet success story – let’s have more of them

Brexit will allow us to decide on our own regional policy.