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April 23, 2026, 08:03:40 am

Author Topic: VCE Methods Question Thread!  (Read 6046442 times)  Share 

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TheAspiringDoc

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Re: VCE Methods Question Thread!
« Reply #11625 on: August 04, 2015, 10:21:27 am »
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Could someone mind helping me out?

I got A but apparently the answer is meant to be B.

Any ideas why?
What were your workings?
I'm just not sure where to start, other than drawing a graph..

TheAspiringDoc

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Re: VCE Methods Question Thread!
« Reply #11626 on: August 04, 2015, 10:24:05 am »
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If a piece of wire is 80cm long find the area of the largest rectangle that can be formed by the wire.
Isn't it just 400cm^3?
Like kinda just an intuitive thing..

keltingmeith

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Re: VCE Methods Question Thread!
« Reply #11627 on: August 04, 2015, 11:14:43 am »
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Isn't it just 400cm^3?
Like kinda just an intuitive thing..

Why would it be that? Give me your reasoning. Remember, this is a maths question, so I want a proper mathematical argument.

keltingmeith

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Re: VCE Methods Question Thread!
« Reply #11628 on: August 04, 2015, 11:17:26 am »
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Hi guys

I was doing the Kilbaha 2004 exam when I came across something called, "Hypergeometric" formulas. I haven't seen one in my cambridge textbook. Is this in the methods course?

One thing that I noticed, was that I was able to solve the question much more quickly using that formula rather than having to do tedious calculations.

Could someone explain this for me? Is this safe to use in the methods exam (a way to double check answers or something)

Thank you!

Hmm, not sure what this "Hypergeometric" formula is, unless you're referring to the hypergeometric distribution. Reckon you could share it for us?

I will note that the current study design started in 2006, so a 2004 exam (particularly from Kilbaha) could stray from the current study design.

TheAspiringDoc

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Re: VCE Methods Question Thread!
« Reply #11629 on: August 04, 2015, 11:25:14 am »
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Why would it be that? Give me your reasoning. Remember, this is a maths question, so I want a proper mathematical argument.
True.
I guess it's just that I know for a fact that squares have the largest area : total side length ratio for any for sided polygon.
And if the the total side length is 80cm, and a square has four sides, then each side length would be 20cm.

keltingmeith

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Re: VCE Methods Question Thread!
« Reply #11630 on: August 04, 2015, 11:27:58 am »
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True.
I guess it's just that I know for a fact that squares have the largest area : total side length ratio for any for sided polygon.
And if the the total side length is 80cm, and a square has four sides, then each side length would be 20cm.

You're right - however, this is not a fact, it's a result. Definitely something you should consider trying to prove - this is a year 11 proof, IMHO. Maybe year 12 standard.

TheAspiringDoc

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Re: VCE Methods Question Thread!
« Reply #11631 on: August 04, 2015, 11:41:51 am »
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You're right - however, this is not a fact, it's a result. Definitely something you should consider trying to prove - this is a year 11 proof, IMHO. Maybe year 12 standard.
And proof by examples doesn't count does it?
I mean, you can't just say '5x5=25, 4x6=24. 8x8=64, 9x7=63. etc.'

keltingmeith

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Re: VCE Methods Question Thread!
« Reply #11632 on: August 04, 2015, 11:44:49 am »
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And proof by examples doesn't count does it?
I mean, you can't just say '5x5=25, 4x6=24. 8x8=64, 9x7=63. etc.'

Nope. :P But examples might help you think about what way to do the proof.

StupidProdigy

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Re: VCE Methods Question Thread!
« Reply #11633 on: August 04, 2015, 11:47:47 am »
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Could someone mind helping me out?

I got A but apparently the answer is meant to be B.

Any ideas why?
A is correct
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StupidProdigy

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Re: VCE Methods Question Thread!
« Reply #11634 on: August 04, 2015, 11:54:02 am »
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Got any nice links to a proof for it, I'm interested  ;D :P
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TheAspiringDoc

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Re: VCE Methods Question Thread!
« Reply #11635 on: August 04, 2015, 12:14:03 pm »
+1
Got any nice links to a proof for it, I'm interested  ;D :P
Is this what you were thinking of?
https://purplemath.com/modules/perimetr6.htm

Apink!

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Re: VCE Methods Question Thread!
« Reply #11636 on: August 04, 2015, 01:06:05 pm »
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Hmm, not sure what this "Hypergeometric" formula is, unless you're referring to the hypergeometric distribution. Reckon you could share it for us?

I will note that the current study design started in 2006, so a 2004 exam (particularly from Kilbaha) could stray from the current study design.

Here you go! :)
« Last Edit: August 04, 2015, 01:08:32 pm by Apink! »
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keltingmeith

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Re: VCE Methods Question Thread!
« Reply #11637 on: August 04, 2015, 01:13:36 pm »
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Here you go! :)
Okay, so it is the hypergeometric distribution.

I agree that the distribution is easier and nicer to work with than doing the counting yourself, BUT I would advise against its use as I doubt many teachers are familiar with it.

I wouldn't worry, though - you should only get simple "draws without replacement" questions, anyway. Stuff you can do with tree diagrams.

Apink!

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Re: VCE Methods Question Thread!
« Reply #11638 on: August 04, 2015, 01:35:54 pm »
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Thank you!

Does anyone know how I can graph binomial distribution graph on the CAS?
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HopefulLawStudent

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Re: VCE Methods Question Thread!
« Reply #11639 on: August 04, 2015, 06:35:43 pm »
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Can anyone help w 3a, please?