One of the mysteries of the English language finally explained.
1‘she was improvising in front of the cameras’
extemporize, ad lib, speak impromptu, make it up as one goes along, think on one's feet, take it as it comes
informal speak off the cuff, speak off the top of one's head, play it by ear, busk it, wing it
2‘she improvised a sandpit for the children to play in’
contrive, devise, throw together, cobble together, concoct, rig, jury-rig, put together
British informal knock up
informal whip up, fix up, rustle up
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