While violence had waned somewhat in recent days, the new attacks signalled that knife, gun and car assaults that began at the start of October were set to continue despite tough Israeli security measures.
The latest unrest came as Israeli Prime Minister Benjamin Netanyahu left for Washington on today to meet US President Barack Obama.
In the first incident, a Palestinian rammed a group of Israelis with a car at a junction, wounding four of them, and was then killed by security forces, police said.
Israeli public radio described two of the injured as in a serious condition.
Also Read
Later, a Palestinian woman stabbed a security guard near a West Bank settlement and was shot by the victim, the Israeli police and army said.
The incident occurred at the entrance to the Beitar Illit settlement south of Jerusalem. A hospital spokeswoman described the woman's condition as serious and said she was being treated in intensive care.
The victim, aged around 50, was stabbed in the stomach but managed to drive to a nearby checkpoint and was taken for medical treatment, authorities said. He lives in the Immanuel settlement in the West Bank.