Factual error: Five-0 brings up a map of all nuclear power plants in Western Europe that is completely inaccurate - most of the trefoil markers in Great Britain are placed nowhere near nuclear installations, and has 3 in Ireland (which doesn't have any nuclear reactors).
Continuity mistake: Steve and Danny are searching a suspect's house. Danny picks up a digital camera. He is going through some photos and the LCD display shows 53 photos on the memory card. The counter shows from 53/54 to 50/54. Then he shows Steve other photos and the counter shows only 4 photos. 1/4, 2/4 and 3/4.
Other mistake: The team, guns up, aimed, and ready, interrupt the meeting on the rooftop which has just ended in a shootout. Steve tells Cynthia to put the gun down or they'll have to put her down, and Junior menacingly cocks his rifle as if to emphasise the point. What, it wasn't already ready to fire? He's walked into a potential firefight with his weapon raised but it wasn't actually fireable yet?
Continuity mistake: When McGarrett is behind the curtain, preparing for the charity fight. McGarrett and the injured fighter, Victor Boriero, share a joke about the dislocated shoulder. Boriero stands behind Lori. McGarrett says "Besides, I'm the one who dislocated your shoulder." Lori giggles, turns to share the joke with Boriero. Boriero says "Yeah, I didn't forget." Lori turns back to face McGarrett (camera shot from behind), and in the next camera shot (camera shot from in front) she turns back to face McGarrett again. (00:37:50)
Factual error: Thieves make off with 10 million dollars transferred to an offshore bank. The money is shown supposedly in a medium-sized black satchel carried in one hand by one of the accomplices. The largest US bill in circulation is the $100 bill. And one million dollars in $100 bills weigh 22 pounds. So ten million would weigh 220 pounds. There is no way that amount would fit in such a satchel, and much less be carried around dangling by one hand.
Factual error: A defibrillator is needed immediately. Adam runs to a storage closet and rummages around for a while, and finally finds a defibrillator deep under other things. This medical clinic is a public place. No one would ever bury an automated external defibrillator (AED) under other items in a storage room. AEDs would be visible and accessible for just such emergencies, as instructed on the devices themselves. (00:35:35)
Factual error: A 1932 haulage receipt is shown on screen. It says Hawaii, HI. There was no such abbreviation used for Hawaii until June 1963. The territory was spelled out in full. In June 1963 it was HAW, and then changed to HI in October 1963 with the advent of ZIP codes. (00:38:50)
Character mistake: After being asked in class, Max refers to what he does as a "vivisection of a once-living organism", which in itself is a contradiction because vivisections are performed on living organisms. What Max does is called dissection, or more specifically autopsy, because he does it to determine the cause of death.
Continuity mistake: When the lab tech is talking about the plane part, she places a Surface Dial on the screen. Throughout the entire scene the Dial keeps moving around between instant cuts, sometimes more towards the right edge, sometimes more towards the center. In one shot it's right at the bottom edge, then in the very next shot it's further up the screen. And shortly afterwards, when the lab tech says "they're too precise", it's off the screen entirely and lying on the desk.
Deliberate mistake: The police car Steve & Danny are driving on the bridge as they approach the freighter has 467 on the roof, which then becomes flipped & backwards a few shots later as they take a sharp right, only to become 467 again (as Danny has conversation with Rachel). (00:38:10 - 00:39:05)