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PostPosted: Fri Aug 21, 2009 12:21 am 
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What is is quickest method to work out:

Q47 A map of Scotland is drawn to scale of 1:325,000.
how many CM on the map would show 65KM?

Q45 A map of Holland is drawn to a scale of 1:400,000.
What real distance is represented bt 1CM on the map?


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PostPosted: Fri Aug 21, 2009 2:31 am 
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scooby1 wrote:
What is is quickest method to work out:

Q47 A map of Scotland is drawn to scale of 1:325,000.
how many CM on the map would show 65KM?

Q45 A map of Holland is drawn to a scale of 1:400,000.
What real distance is represented bt 1CM on the map?


Q47

1:325,000 means 1 cm shows 325,000 cm,
converted to metres 1 cm shows 3250 metres
converted to km 1 cm shows 3.25 km

so to show 65 km
65/3.25 which gives 20 cm


Q45

using the same logic of converting to metres and then km
1cm represents 4km

That is how I would explain the problem to my children - I'm not sure they are quite up to this at the moment though.


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PostPosted: Fri Aug 21, 2009 8:27 am 
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Location: East Kent
we looked at a map book
(which conveniently had 1cm=25k 1:25000 scale ) on the front.

also those kitchen/bathroom planner grids you can get in B&Q with baths and units to scale. Once he had seen how it worked the calculations were easier.


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PostPosted: Fri Aug 21, 2009 8:30 am 
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Thanks beebee, I understand them now.


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PostPosted: Fri Aug 21, 2009 8:54 am 
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A great idea YOYO123 will pop into my local B&Q today.


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PostPosted: Fri Aug 21, 2009 12:07 pm 
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I thought I understood! However, I do not understand why you divide 65 by 3.25. Please explain. Thank you.


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PostPosted: Fri Aug 21, 2009 12:30 pm 
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Location: Warwickshire.
Because every 1cm is 3.25km.

But you need to find out how many cms represent 65km (because that is the question)

Therefore you have to divide 65 by 3.25 to find out how many 3.25s go into 65km in order to find out the answer.

I hope that helps...


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PostPosted: Fri Aug 21, 2009 2:44 pm 
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Location: East Kent
IF 1 CM represents 3.25km

then 10cm represents 32.5km

32.5km is half of 65km

therefore 20 cm represent 65km


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PostPosted: Fri Aug 21, 2009 2:54 pm 
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I feel so silly now! :oops:


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PostPosted: Sat Aug 22, 2009 12:46 pm 
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My DS finds this type of questions very difficult. Can anyone point me to any sample questions /exercises on the internet? I have looked at Guest 55's useful maths websites and I have also googled but to no avail. Maybe I'm inserting the wrong terms in google /the websites????I have put in " maths scales" in. Anybody got any better ideas for a search term?

Thanks


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