Just before putting Mados' body in a trunk, Denning drapes a cloth over the spare wheel attached to the back of the trunk. Denning quickly puts the body in the trunk and closes the lid without moving the trunk. As he drives away there's no sign of the cloth but later when he's pulled up by a policeman for having a faulty rear light and gets out to examine it, the cloth is hanging out of the trunk.
When Denning climbs out of Mados's window and gets into his car, the headlights have white translucent covers over them. As he drives round the corner and turns the lights on, they still have the covers on. But as he parks outside Mados's house, the covers are gone.
When Denning visits Mados in his flat, after knocking him down he goes to the door with his hat in his hand, then he looks back and sees Mados lying with his head in the fireplace. Going to check on him, Denning throws his hat onto a chair. Discovering Mados is dead, he goes to a phone, picks up the receiver, sees a photograph of his daughter, and puts the phone down. As he sits on a settee his hat is in his hand.
A radio announcer says that there has been an accident at the intersection of Palace Gate and Kensington High Street. The high street ends before the crossing with Palace Gate. The road at that point is called Kensington Road.
Surely the clerk at the Automobile Association office would have told Chick Eddowes who the badge belonged to, or Chick would have read the note when handed to him.