musiq said:

According to the descriptions we had previously none of a the songs in the album match to the ones that Prince was said to be working with Rita Ora...do you think they will end up in her album or in a future NPG album?

It's been said a few times that the song will appear on Rita's album.

People just misunderstood what happened when he previewed the album for Jon Bream. He first played some songs from AOA to him, but at some point asked Josh to put on the Rita Ora track.

As usual, people jumped into conclusions that could not be made based on the interview itself.

I could be mis-remembering here but at some point wasn't it mentioned that they worked on "a couple" or "a few" songs together?

2013MW said:

Who's Rapping on BoyTrouble Can it be Rita Ora

No.

Lizzo from Minneapolis.

Noodled24 said:

I could be mis-remembering here but at some point wasn't it mentioned that they worked on "a couple" or "a few" songs together?

That is possible. Often several songs are recorded, only fraction get released. In his recent media statements, Prince has championed one song in particular that he feels is a track that he is proud of. The others will more than likely find their way to The Vault never to see the light of day again.

I think this was the article I was thinking of:

As previously reported, Prince and Rita Ora have been working on a few collaborations. Now the Roc Nation singer has previewed her collaboration with The Purple One called "Single Most Amazing." Penned by Prince and produced by Josh Welton, the track is featured in a behind-the-scenes video from Roberto Cavalli's Autumn/Winter 2015 campaign.

Over lush horns Ora sings, "She didn't care how many there were and who / 'Cause she was fallin' in love with the single most amazing thing in the room."

In a recent interview, with Paper magazine, Ora spoke about working with Prince.

"We did a few tracks together," she told them. "I flew to Minneapolis and went to Paisley Park, which is like his iconic studios and we just made music. I was there for a week. It was the best thing I have ever done in my life."

Prince had similar words of praise when he spoke to the Star Tribune about working with Ora on a track for his upcoming album that features "aggressive and menacing" music as well as rapping.

With Ora, he said "time is money" because she makes "money walking out of the house wearing a certain kind of makeup or sunglasses."

[Edited 9/28/14 6:25am]