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Stupid-looking maths question does the rounds, isn’t stupid

You may by now have seen the image below knocking around on Twitter and other social medias, in which a maths question appears to be almost a parody of itself:

Text: An orchestra of 120 players takes 40 minutes to play Beethoven's 9th Symphony. How long would it take for 60 players to play the Symphony? Let P be the number of players and T the time playing.

The text reads:

An orchestra of 120 players takes 40 minutes to play Beethoven’s 9th Symphony. How long would it take for 60 players to play the Symphony? Let P be the number of players and T the time playing.

Well, once you’re done laughing, we’ve done some investigative journalism and found the origin of this question. And it turns out it’s quite nice!

The question is from a worksheet developed by maths teacher Claire Longmoor (who is, based on current evidence, brilliant) ten years ago. Claire put together a selection of example questions with relationships in direct and inverse proportion, and deliberately included the orchestra question as an example of something where it doesn’t work that way. It’s a nice activity to help reinforce the difference, and in context the question works nicely.

Other examples on the sheet include a bricklaying example with creditably diverse gender representation, a car with terrifyingly low fuel efficiency, good cow names and a delightful insight into the bygone world of fruit picking.

8 Responses to “Stupid-looking maths question does the rounds, isn’t stupid”

  1. Barry Wallace

    Well, the conductor could always have a unique interpretation of tempo markings and conduct everything tutti.

    Reply
  2. Antony

    Why do you say “by-gone world of fruit picking”?

    Do you not think people still pick fruit? Does it just come out of a factory?

    Reply
  3. William

    Takes the same time. The music notes and tempo don’t change regardless of the numbers of musicians.

    Reply

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