Continuity mistake: During the police car challenge, Richard Hammond is taking his homemade police car around the track on a timed lap (with extra points for flamboyant driving). As he rounds the Hammerhead corner, the makeshift stinger (that's a spike strip for the colonials) on the front of his car breaks off and is left behind. He then drives through a stack of boxes, getting one caught on the remains of the stinger mounting. As he approaches the second-to-last corner, the box has gone and the stinger is now back on the front of the car. In the final shot as his car limps across the finish line, the stinger is once again missing and the box has returned. Clearly footage from a different lap was substituted in.
Continuity mistake: During "the 24 hour race". Hammond and Clarkson are helping to put extra 'racing car bits' to their car. In the one of the shots of Jeremy and the fuel tank, you can see the sponsor stickers they stuck on. But the audience hasn't seen them being stuck on yet. In shots after, there are no stickers; until we see them being added.
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Continuity mistake: In the final show of season twelve, the Vietnam Challenge, when Jeremy Clarkson borrows James May's bike to try to pass his practical driving test, throughout the test, it can be seen that May's "Darcey Bussell" statue is not on the bike. He then conversed with May and Richard Hammond, still seated astride the bike and "Darcey" is still not present. As Clarkson gets off the bike and lets it drop, still in mid-conversation with no breaks, the statue is suddenly strapped tightly onto the luggage rack, just in time to break on impact.
Continuity mistake: Near the end of "Star in a Reasonably-Priced Car," Jeremy Clarkson is telling Alastair Campbell his time. When we see the wall of lap times, there are eight stickers. Clarkson tells Campbell his time and, when the camera changes, applies the sticker second from the top. The camera changes back and the wall only has the same eight stickers as before.
Continuity mistake: When Jeremy is going up in the lift, near the end of the Bugatti Veyron vs plane race, the screen behind him shows that he is going up through floors 25, 26 and 27, in one shot. But, seconds later, he stops on the 23rd floor for directions, when he had been going up and was already beyond that.
Continuity mistake: At the end of series 13, after Richard uses a cherry picker to stick a cool wall picture out of Jeremy's reach, Jeremy jams the controls and goes to interview Jay Leno. But throughout the interview, the cool wall is visible in the background and the cherry picker has gone. Afterwards, Richard is back in the same place without having had time to move.
Continuity mistake: During Jeremy's timed lap in his police car, Richard and James watch him go from the start/finish line. But, when James comments about Jeremy having unbalanced the wheels, they are standing in a completely different part of the track. They then return to the line as Jeremy finishes.
Continuity mistake: When James is attempting to outrun The Stig in his van, there is a shot of him along a straight which Jeremy's door is lying in, indicating that he's already passed follow through. The shot then changes to show it from Richard and Jeremy's point of view and James is in the background rounding follow through.