If you look at a clock and the time is 9.45, what is the angle between the hour and the minute hands?

Answer:

8) D

Number of degrees in a clock (circle) = 360˚
Number of divisions in a clock = 12
Angle between each division = 360/12 = 30˚

This clock shows 9:45. The hour hand is 3/4 of the way between 9 and 10, whilst the minute hand is on 9.

We know angle between each division = 30˚
So angle between 9 and 10 = 30˚

Angle between hour hand and minute hand = 3/4 x 30˚ = 22.5˚