in tray
noun
UK ukus [ C ] WORKPLACE (also inbox); (also US in basket)
a container where letters and other documents are put when they arrive in a person's office, and kept until the person has time to deal with them:
The department was understaffed, and my in tray was overflowing.
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filing tray
out tray
[ S ]
an amount of work needing to be done:
The new chief executive faces a full in tray at the company when he takes charge next week.