What is this movie? Help!

A British film (?), maybe black & white that starts with a man running down a street in a graduation cap & gown (a view from a rooftop). The image freezes and a V/O says, “See this man? Good show! Carry on!”
Then there’s a scene where the same man (he’s obviously a teacher) is in a classroom full of college-age girls. He asks a question that they answer to which he says, “Right, my lovelies”
Then he stands next to a female student sitting in a desk and asks her something. She answers…and I THINK the answer she gives is the title of the movie that is spelled out on the screen (?)
HIINT: It is NOT any of the “Carry On” movies

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00:01:57 - You guys got the same place as yesterday?
00:01:59 - Of course, my good man, and be quick about it.
00:02:04 - - Good show. Carry on. - Hip, hip.
00:02:07 - - Right-o. - Cheerio.
00:02:09 - You guys got a cold?