Along with every clarinet, the bass clarinet is a single reed
instrument.
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I think you are referring to the Bb clarinet which is single but
there are acually 3 different types of clarinets.
Bb=single
Oboe=double
Alto=single
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saxophones and clarinets
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a Flute does not have a reed so it's neither a single or double
reed instrument.
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No, trumpets are brass not woodwind. The only instrument that
looks like brass but is woodwind is the saxaphone, a single reed
instrument. Trumpets use a mouthpiece with no reed.