The Prime Minister was talking to ITV's Julie Etchingham in a pre-recorded interview carried out in two parts, just before the London terror attack this weekend.
A primary school friend revealed during a mock general election at school in Wheatley near Oxford Mrs May came second, but this did not deter her and she went on to win a place at Oxford University.
Another friend, Patricia Frankland, revealed Mrs May burst into her room following a concert singing an aria.
Professor Charles Goodhart, said Mrs May was one of his best assistants he ever had at the Bank of England, where she worked after university.
Describing what kind of child she was, Mrs May, said: "I was a vicar's daughter, I was bookish, I enjoyed going to school and learning.
"I was an only child so didn't have brothers and sisters to play with so had to occupy myself.
She struggled to think about the naughtiest thing she has ever done.
Eventually, she said: "The naughtiest thing I ever did was run through a wheat field."
Talking about her family being together in church, she reflected on how it was very quiet after services which was lovely.
Getty•Matthew Currie Holmes
Theresa May spoke to ITV about her vision for the UK
And on her parents' early deaths, she said: "Obviously it was a tremendous shock, for anybody, there will be people watching this who have lost both parents at a relatively early stage.
"It was so good to have Philip because I didn't have siblings."
On Nigel Farage, she said she does not spend a lot of time thinking about him and said a lot of people were involved in Brexit.
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Mrs May said she believed police needed more powers
Speaking about free trade, she said: "There are parts of the EU we might want to be part of but we will think of the rights and obligations and deal with that.
"I don't think it will be necessary to pay into a free trade deal because this isn't just about what benefits the UK, it's about what benefits the EU as well.
"I think we'll get a good deal without having to go down that road."
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Talking about equality and cutting free school lunches, the dementia tax means "the Nasty Party" is back.
She said the Tory Party is looking ahead to more than five years time.
Mrs May added: "The figures show in just 10 years time there will be 2m more people aged over 65. The current system won't be able to cope with that."
About schools funding, she said the Tories are putting record levels into schools but the quality of education is not just about funding, it's about making sure every child has a good school place.
Mrs May said she believes PREVENT is working
What we're doing with the free school meals, we'll ensure those who are most in need continue to get those free lunches and we will introduce free school breakfasts for every child.
I did say I want to support the just about managing and we will be doing that.
Talking about bringing immigration down, she said as home secretary the figures went down but went back up again.
She said: "This is a constant, you have to keep working at this. Leaving the EU gives us the ability to deal with those coming from inside the EU and outside."
ITV spoke to Mrs May again just hours before the London attack and after the Manchester attack, about policing.
Mrs May also spoke about her childhood briefly
Mrs May said policing needs to always be changing, with extra funding for cyber crime and counter-terrorism.
Reacting to the lack of community policing, she said: "We need the links iwth communities so information is fed through.
"There are various people to provide that, we're making sure counter-terror policing is protected.
"One of the key pillars is the PREVENT work, which is a whole network working with people in communities, to prevent radicalisation."
On temporary exclusion orders, she said that is not the only order available and has only been used once, but is only an additional power for when the police believe it is necessary.
She said if there's evidence for prosecution of people coming back from Syria, then police will do that.
She added: "When they do think they can prosecute, they do."
About funding, she said: "The security services do an excellent job, they're working tirelessly.
"It's important to note they have the funding, but that they also have the powers they need."
On the War on Terror, she said the UK has joined the coalition in Syria and Iraq, but we've also put in resources to prevent terror attacks.