Mr Pepper said the school had been talking to pupils about healthy eating and preservatives used in food.
He said all visitors to the school could see the burger in the foyer.
"It's really just to highlight the fact that fast food is great occasionally, but do they actually understand what they put in their bodies?"
Pupil Esther Meachen, 5, said: "It looks just like normal, but it's really old."
School administration manager Jenn Narran said there had been a lot of interest in the burger, especially from older pupils, who would check on its progress daily.
McDonald's spokeswoman Kim Bartlett said the lack of mould was due to a lack of moisture. "There isn't enough moisture to support mould growth to break it down. Instead, it simply dries out."