They coughed up details about cheating after munching on McNuggets.

Some students at PS 10 in The Bronx were taken by teachers to a McDonald’s in July 2013 as a “reward” for doing well on their third-grade exams the previous school year.

During the meal, staffers heard the kids talking about the test-taking. When the group returned to school, one boy confessed to a social worker, “I can’t take it anymore! They passed because they got help,” according to city probers.

The student was referring to his classmates, and six other students subsequently also ratted out third-grade teacher Lana Gorman, who allegedly provided at least some of the kids with answers or coached them on the English Language Arts and math exams, according to a June 27, 2014, report from the city Office of Special Investigations.

The child, identified as “Student A,” told the OSI that he had observed Gorman “whispering in students’ ears and passing them notes that had the answers on them,” the report said.

The student alleged that Gorman gave a different piece of paper to each student the teacher helped, and that once they copied the information from it, she threw the scraps in the classroom garbage can, according to the report.

The student recalled Gorman telling a classmate that an exam answer was “B: girl jumped off the diving board” and that “five times two equals 10,” the report said.

Another child, “Student B,” said Gorman pointed to multiple-choice questions in his test booklet, “whispered answers into his ear and gave him a piece of paper with answers on it from which he copied information for both exams,” according to the report.

Five other students said Gorman would point to an answer on their test booklet and say it was wrong and tell them to “try again,” the report added.

One student said Gorman put an “X” next to an answer on the test booklet to indicate it was wrong, according to the report. Gorman then allegedly circled back and put a check mark next to the question that was answered correctly.

During her interview with the OSI, Gorman denied giving answers to any students during the exam or coaching them to change their answers.

She said several students didn’t complete the exams, which she claimed was evidence she didn’t help any students.

Gorman said that when students asked for help, she replied, “Try again,” but denied giving out any answers.

The OSI said it believed the students’ claims.

“The allegation that teacher Lana Gorman assisted students and provided them with answers to questions during the administration of the 2013 NYS ELA and Mathematics Exams is substantiated,” the report concluded.

Gorman, who had earned $62,029 annually, resigned in September 2015 after a letter of reprimand was put in her file.

The Post was unable to find a working phone number for Gorman.