brat
Concise Oxford English Dictionary © 2008 Oxford University Press:
brat/brat/
▶noun derogatory or humorous a badly behaved child.
– derivatives
brattish adjective,
brattishness noun,
bratty adjective.
brattish adjective,
brattishness noun,
bratty adjective.
– origin C16: perh. an abbrev. of synonymous Scots bratchet, from OFr. brachet ‘hound, bitch’.
'brat' also found in these Oxford entries:

