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# maths pastpaper problem :( watch

1. 1. the minute of a clock hand turns 3x degrees between noon and 12.45 pm of the same day.
a)what is the value of x ?
b)give in terms of x , the angle that the minute hand turns between noon and 3.15 pm of the same day.
c) give , in terms of x , the angle that the hour hand turns between 1 p.m and 3 p.m of the same day .

2. what have you done so far? we're not meant/allowed to give you any answers, otherwise you won't learn a thing
3. Look at a clock and imagine it as being a 360 degree compass. Then imagine the minute hand turning from 12 o'clock round to 12.45.

If this is 3x degrees, how many times do you need to divide it to get just x? ( "1x" )
4. (Original post by silverose)
1. the minute of a clock hand turns 3x degrees between noon and 12.45 pm of the same day.
a)what is the value of x ?
b)give in terms of x , the angle that the minute hand turns between noon and 3.15 pm of the same day.
c) give , in terms of x , the angle that the hour hand turns between 1 p.m and 3 p.m of the same day .

a) This is asking you how many degrees the minute clock hand turns in 45 minutes, imagine a clock face, there are 60 minutes in a full 360 degree rotation so how many degrees is 45 minutes. It then asks you to divide this by 3 to find x.

You can use the same sort of idea for b and c (note that for c, there are 12 hours in a full 360 degree rotation)

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Updated: April 11, 2011
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