A UN-backed report published in March also said that famine is imminent and likely to occur by May in northern Gaza
The West Bank, among territories where Palestinians seek statehood, has seen simmering street violence since US-sponsored peace talks with Israel broke down in 2014.
Video circulated on social media, and which Reuters could not immediately verify, showed men with rifles confronting a woman. A shot is heard and she collapses, dropping something from her hand. One of the men then kicks the item out of reach.
An Israeli police spokesman said on Twitter that a "female terrorist attempted to carry out (a) stabbing attack" at Qalandia checkpoint. He posted a picture of a knife on asphalt.
The Palestinian health ministry said a woman shot at Qalandia had died. Palestinian officials did not immediately provide further details on her.