The NYPD is offering a $10,000 reward to help solve the “mind-boggling” murder of a 16-year-old girl shot dead near a Queens playground about a month ago.

Cops announced Tuesday that CrimeStoppers will provide a $3,500 reward for information leading to the arrest and indictment of anyone culpable for the May 10 shooting of young Claudia Quaatey, and the NYPD is offering an additional $6,500 upon arrest and conviction. 

Quaatey, a sophomore at Queens High School of Teaching, was struck in the head that evening as she sat in an SUV parked outside Locust Manor Park in St. Albans. She had just settled a beef with another group of girls when the shots rang out, cops have said.

Cops were probing if the earlier scuffle had anything to do with the shooting – and whether the teen was the intended target. 

Law enforcement sources have said that three gunmen fired off “multiple” 9mm rounds — before running off and remaining on the loose.

Police later released surveillance footage of three suspects believed to have opened fire, in what sources said was an apparent gang-related dispute.

The slain teen’s aunt previously told The Post the family was desperately searching for answers.

“We’ve never known her to be involved in anything like this, so this is mind-boggling,” Benita Bortey said of her niece. “So we’re definitely looking to the NYPD for answers.”

She noted that people were in the park at the time of the shooting — and that someone must have information that could help catch the killer.

“It’s just sad that we live in a world where this kind of violence can happen and people see something and they don’t talk,” she said. “I don’t understand how someone can be slain and people can have information and not give it.”

A day after the shooting, the teen’s father, Albert Quaatey, 65, told The Post his daughter dreamed of becoming a nurse and liked to braid hair for her friends.

She was on her way to do just that when she was shot while sitting in a Hyundai SUV, which was parked near the park and outside PS 015 Jackie Robinson elementary school, her dad said. 

“Usually I tell her, school days, I don’t want her going out,” her father said. “It wasn’t late, but still. They always called me old-school, but there are these kinds of problems. Too many younger people are being killed. I tried, but how much can you do?”

Claudia “was a sophomore at Queens High School of Teaching and a loved member of the Jamaica Queens Community,” her aunt posted on a GoFundMe page, aimed at raising money to cover the slain teen’s funeral, medical and other expenses.

The teen spent time on life support before dying of her grave injuries, according to her family. 

Police said three gunmen ran off after the shooting, heading west on 122nd Avenue.

One of the males is described as having a dark complexion and a slim build, standing around 5-foot-11 or 6 feet tall. He was last seen wearing a white mask, black and gray hooded sweatshirt, gray sweatpants, and white sneakers.

Another suspect had a light complexion and a slim build and is described as around 5-foot-10. He was last seen wearing a black mask, gray hooded sweatshirt, dark-colored sweatpants, and red sneakers.

The third man being sought has a medium complexion and a medium build and is described as about 5-foot-6.

He was last seen wearing a black mask, navy hooded sweatshirt, black pants, and black and white sneakers.  

The NYPD confirmed that no arrests had been made as of Wednesday.