habs maths past paper 2003
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habs maths past paper 2003
hi all,
I wonder if someone can help me with the following question please
There is a picture of a donkey tethered to an upright post with a piece of string and the question is as follows:
'A donkey is tethered by a piece of rope to an upright post , in the middle of a large field. Name the mathematical shape of the patch of grass in which the donkey can graze.'
First thoughts are a circle but we think it's too easy an answer and we are missing something!
Thanks in advance
Regards
Coolmum
I wonder if someone can help me with the following question please
There is a picture of a donkey tethered to an upright post with a piece of string and the question is as follows:
'A donkey is tethered by a piece of rope to an upright post , in the middle of a large field. Name the mathematical shape of the patch of grass in which the donkey can graze.'
First thoughts are a circle but we think it's too easy an answer and we are missing something!
Thanks in advance
Regards
Coolmum
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- Posts: 271
- Joined: Fri Jan 25, 2008 11:18 pm
Maybe it should not be as simple as this.
If the tether was tied in such a way that the rope wrapped around the post as the donkey walked around the post (assuming that the donkey will wish always to keep the rope taut, as though trying to escape from the tether), and the donkey ate a very narrow line of grass on each journey around the post, it would create a line of short grass in the shape of a spiral. But it would be a spiral with the middle missing as at some point the donkey will be unable to continue all the way to the centre of the spiral as the rope will be too short.
I don't know the name of this. What were the options in the multiple choice answers?
If the tether was tied in such a way that the rope wrapped around the post as the donkey walked around the post (assuming that the donkey will wish always to keep the rope taut, as though trying to escape from the tether), and the donkey ate a very narrow line of grass on each journey around the post, it would create a line of short grass in the shape of a spiral. But it would be a spiral with the middle missing as at some point the donkey will be unable to continue all the way to the centre of the spiral as the rope will be too short.
I don't know the name of this. What were the options in the multiple choice answers?
Perplexed,If the tether was tied in such a way that the rope wrapped around the post as the donkey walked around the post (assuming that the donkey will wish always to keep the rope taut, as though trying to escape from the tether), and the donkey ate a very narrow line of grass on each journey around the post, it would create a line of short grass in the shape of a spiral. But it would be a spiral with the middle missing as at some point the donkey will be unable to continue all the way to the centre of the spiral as the rope will be too short.
No wonder you are perplexed. Now I am as well
sj355
Re: donkey
... and that the string is long enough to allow the donkey's (teeth | legs) to reach the ground. I'm sure this was made clear in the original question :-)solimum wrote:...always assuming a mathematically tidy post of infinitesimal diameter....Tethered with a string it can graze a disc
Circle? disc? annulus? I do wonder which answer is in the marking scheme? I have a horrible feeling it could actually be 'circle', which is clearly wrong.
I hate this type of question when it's combined with mass testing and a rigid marking scheme; where you're tutoring children to 'guess what the examiner wants', even asking the brightest children to 'dumb-down' the level of their answers to suit the test.