Continuity mistake: For some inexplicable reason, at one point, both teams have the same coloured vest. At other times, the Iron Curtain Team's vests are maroon.
Revealing mistake: When Hymie is investigating the unconscious man in the shower, for some the reason the man is wearing underpants even though he is in a shower. Evidently for modesty.
Revealing mistake: When Purvis is about to go onto the field, it cuts to a close up of Purvis' face and you can actually see folds in the fake sky behind Purvis.
Other mistake: The announcer says that the competitors have to run a mile in seven laps. When Hymie begins running, it is clear that the track is way too long for seven laps to qualify as a mile. Maybe it qualifies as 4 miles, perhaps.
Factual error: In several shots in the mile run, Hymie is in the same lane as the Iron Curtain runners, which is illegal and results in disqualification.
Revealing mistake: When Hymie does the high jump, when the film cuts to a shot of him clearing the bar, Hymie's hair is curly when it should be flattened down like when he took of and as he landed. It is obviously a stunt double.