A clock shows the time is 3:15. What is the exact angle in degrees between the hour hand and the minute hand?
7.5 degrees
At 15 minutes, the minute hand is at 90 degrees. The hour hand has moved 1/4 of the way from 3 to 4. Since each hour is 30 degrees, 1/4 of 30 is 7.5 degrees past the 3 (which is 97.5 degrees from 12). The difference is 97.5 - 90 = 7.5 degrees.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Hard. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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