Visible crew/equipment: Just after Lockdown stabs Optimus in the chest with his own sword, Cade runs closer and shoots at Lockdown. He then hides behind some bricks. In that shot, the bricks are a broken wall that is two separate pieces. Then it cuts to a different shot as Lockdown returns fire at Cade, and now the wall is one piece. Not only this, but some random guy suddenly appears in the shot next to the wall and right where the explosion happens where Lockdown shot the wall. He is wearing the same color clothes as the wall and only visible for a moment. There was no other guy present until that moment and he just suddenly appears behind Cade and gets hit. It's presumably a special effects member setting off the charge in the wall by the looks of it and it detonated before he got out of the shot.
Visible crew/equipment: During the scene where Cade and the rest are running for their life on the roof of the huge apartment building, when the Decepticons are shooting at them, the long shot of them running shows a few crew members crouching against a wall and a camera and also another crew member crouching down in the brick doorway.
Add timeMistakes for Trent
Factual error: The elevator Cade leaves because there's "too much weight" shows in the next scene a weight limit of 680kg. Even if the four passengers weighed 90kg each (a total of 360kg) it would mean the seed weighed more than 320kg (over 700lb), which would mean that Joyce would never be able to carry it alone as he did several times.
Continuity mistake: When Bumblebee and Drift reach KSI headquarters a Rolls Royce is in the shot. In the next shot when Bumblebee is transforming the Rolls Royce is far away from Bumblebee. In the next shot when Bumblebee is crashed through KSI headquarters there is no Rolls Royce parked out front.
Add timeAaron Perry
Other mistake: During the introduction of Attinger, he is holding cards of the Autobots explaining what happened to them. One such card is of Ironhide, listed as last seen in Chicago. Ironhide was killed in Washington DC at NEST headquarters by Sentinel Prime in Transformers: Dark of the Moon. He didn't even participate in the Chicago battle.
Continuity mistake: Cade says that this is a no dating household, that he doesn't date and neither does Tessa. Tessa then says that maybe he should, and storms off outside. Cade follows her, and as you see him leaving the shack, there is nothing in his hands. But when he gets outside and catches up to her, suddenly he is holding a power drill in one hand, and an adjustable wrench in the other.
Continuity mistake: In the scene where the Autobots are escaping from the KSI building, closely pursued by Galvatron and Stinger, the satellite tracker used by Joshua to track them, using an orange false image view, indicates they are driving on a freeway leaving the city. This is backed up by a swooping shot showing the same. However a second or two later and they are in the middle of an open countryside, not a building in sight (there are many 360 degree camera sweeps), a few bridges and other cars, but also old concrete banked curves. This is on a test track which for some reason they didn't CGI to make it fit with the supposed scenery the satellite indicated they were near.
Continuity mistake: In the scene where Optimus frees the "Legendary Warriors", aka Dinobots, they walk into the canyon area and Optimus addresses them and asks for their help. It appears there are 3, maybe 4 large robots. When Grimlock screams and starts to fight Optimus, the others disappear. They continue to fight, showing from wide angles, and the others are still nowhere to be seen. Grimlock then transforms and charges at Optimus, with nothing behind him or between the two. When Optimus knocks him to the ground, it shows the angle that he falls to the ground in slow motion, and the other warriors appear in the area that Grimlock just ran through.
Add timeJason Swan
Factual error: Once they escape the large ship, the humans and Bee hop on the ship Crosshairs is piloting, and they take off through the city, being chased by three enemy ships. Bumblebee, standing on the back of their ship, shoots a grapple hook at a good sized fishing boat and then flings it up into the path of the enemy ships, destroying one. But this is where physics fails. The ship they are in is not affected by this action at all, yet Bee is standing on it and uses brute force to lift a heavy object into the path of an identical ship very swiftly, and the ship they are on does not even get fazed by the action. At the very least, the ship should have suddenly bucked down in altitude from the sudden additional weight of the ship Bee grappled and pulled on, having a effect similar to an anchor, as well as Bee's motion in jerking it upwards really fast, having an equal and opposite reaction to the ship he is standing on.
Factual error: Darcy tells Joshua Joyce about the meteorite that caused the dinosaurs to become extinct; she mentions that the piece of metal in question has been carbon dated to 65,000,000 BC. Carbon dating is limited to around 40,000 years. For longer time periods potassium-argon dating or other techniques are used. Additionally, carbon dating is used for life forms, not for metal.