What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from

(a) 3 to 9 (b) 4 to 7


(c) 7 to 10 (d) 12 to 9


(e) 1 to 10 (f) 6 to 3

A clock completes a clockwise revolution of 360° in a day.


(a) 3 to 9


By looking at the clock we can see when the hour hand goes from 3 to 9 it complete half of the revolution which is 180°.


Fraction = .


As we know 180° is the half of the 360° so it covers .



(b) 4 to 7


By looking at the clock we can see when the hour hand goes from 4 to 7 it makes a right angle which is of 90°.


Fraction = .



(c) 7 to 10


By looking at the clock we can see when the hour hand goes from 7 to 10 it makes a right angle which is of 90°.


Fraction = .



(d) 12 to 9


By looking at the clock we can see when the hour hand goes from 12 to 9 it basically covers three right angles which is of = 90+90+90 = 120°.


Fraction =



(e) 1 to 10


By looking at the clock we can see when the hour hand goes from 1 to 10 it basically covers three right angles which is of 120°.


Fraction =



(f) 6 to 3


By looking at the clock we can see when the hour hand goes from 6 to 3 it basically covers three right angles which is of 120°.


Fraction =



30