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Question

What fraction of a clockwise revolution does the hour hand of a clock turns through:
a) when it moves 
from 3 to 8?
b) when it moves from 3 to 9?
[2 MARKS]


Solution

Each option: 1 Mark

When the hour hand completes one complete revolution it completes 360 degrees.

a) When the hour hand moves from 3 to 6 it covers 90 degrees. When it moves from 6 to 8 it covers 60 degrees. So, the angle covered when hour hand moves from 3 to 8 is 150 degrees.

Fraction that it has moved = 150360 = 512

b) When the hour hand of the clock moves from 3 to 9 it moves through two right angles.
So the angle it covers when it moves from 3 to 9 = 180
Fraction that it has moved = 180360 = 12

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