busy
She kept the kids busy making Christmas decorations while their parents talked in the other room.
I've been keeping myself busy by learning how to knit.
Two of his accomplices kept the security guards busy whilst he slipped in the back door.

SMART Vocabulary: related words and phrases

Busy and active
abustle
be (as) busy as a beeidiom
be all goidiom
be at workidiom
be back in harnessidiom
boot
floruit
frenetic
frenetically
gangbusters
girlie swot
peak
plate
rev
run around
run round
run round in circlesidiom
run round like a headless chickenidiom
rush/run someone off their feetidiom
spread