Their teacher said the 2012 script was "clearly plagiarised" from the previous year's exemplar.
NZ History Teachers Association treasurer Greg Burnard said memorising the exemplars and reproducing them in exams was "reasonably widespread across the country".
"Memorising an exemplar is not going to be punished, essentially," he said. "It's not seen as cheating. It's just seen as being well prepared."
Kaye said NZQA would report back to her within four weeks on the specific case of why no one picked up the fact that the 2012 History exemplar was almost word-for-word the same as the exemplar that was posted the previous year.
Burnard said examiners recognised a need to change exam questions from year to year, and to mark students down if they just reproduced material they had memorised rather than answering the questions.
"The way forward is to reward analysis rather than just regurgitation," he said.