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Six Minutes Past Eight

Age 11 to 14 Short
Challenge Level

At 8 o'clock, the obtuse angle between the hands of the clock is 120 °. In the following six minutes, the minute hand turns through an angle of 36 ° whilst the hour hand turns through an angle of 3 ° in the same direction (clockwise!). So the obtuse angle between the hands increases by 33 °, to 153 °.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.