Grade 6 problem

Time and calendars · Grade 6

What is the smaller angle in degrees between the hour and minute hands at 3 hours 30 minutes?

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  1. At 30 minutes, the minute hand points to 180 degrees.
  2. At 3:30 the hour hand is at 105 degrees; find the difference.
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Answer: 75

At 3 hours 30 minutes, the minute hand is at 180 degrees. The hour hand is halfway from 3 to 4, at 105 degrees. The difference is 180 − 105 = 75 degrees.

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