Advanced Higher Maths 2011-2012 : Discussion and Help
Discussion for all types of Scottish exams, help on Scottish Results Day and advice on Clearing.
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Is the answer to b5c) not 212 mins ? Apart from that I got the same(Original post by laughylolly)
Yes I do. I can upload that too if you want?
Also here's my answers/marking scheme for Section B. I checked the ones I can on my calculator/wolframalpha so I think they are alright. I think my answers to B3 are okay?
https://docs.google.com/document/d/1...OJV7Qt_H8/edit
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Re: Advanced Higher Maths 2011-2012 : Discussion and Help
Statistics Paper:
Ah, sorry they aren't rotated. I rotated them but obviously it didn't want to haha.
My apologies, 212 is correct.(Original post by Rogerbobinton)
Is the answer to b5c) not 212 mins ? Apart from that I got the same
I got 212 mins as well
Last edited by laughylolly; 25-05-2012 at 18:14. -
Re: Advanced Higher Maths 2011-2012 : Discussion and Help
I have the Mechanics paper, but no way of getting a clear photo of it. If anyone wants I'll type up the questions in TeX.
Anyways, I didn't find the paper too bad. Kind of annoying that they expected us to know the Earth's mass though .... Hopefully knowing it to one/two sig fig will get the mark. -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpI'm pretty sure you could do that question without knowing the Earths mass. I know its something around 6x10^24kg but I did it without the mass.(Original post by ThunderShade)
I have the Mechanics paper, but no way of getting a clear photo of it. If anyone wants I'll type up the questions in TeX.
Anyways, I didn't find the paper too bad. Kind of annoying that they expected us to know the Earth's mass though .... Hopefully knowing it to one/two sig fig will get the mark. -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpCan I ask how?(Original post by legion99)
I'm pretty sure you could do that question without knowing the Earths mass. I know its something around 6x10^24kg but I did it without the mass.
Q: An International Space Station is held in a circular orbit by the Earth's gravitational field and travels at a height of 390km above the surface of the Earth.
Given that the radius of the Earth is 6380km, calculate:
(a) the speed of the satellite in its orbit;
(b) the number of times the satellite orbits the Earth in one day.
You should assume that Newton's Inverse Square Law of Gravitation applies. -
Id like to know how you got the answer without the mass of the earth... (although the mass is easy to work out if you know the radius and G)(Original post by ThunderShade)
Can I ask how?
Q: An International Space Station is held in a circular orbit by the Earth's gravitational field and travels at a height of 390km above the surface of the Earth.
Given that the radius of the Earth is 6380km, calculate:
(a) the speed of the satellite in its orbit;
(b) the number of times the satellite orbits the Earth in one day.
You should assume that Newton's Inverse Square Law of Gravitation applies.
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Re: Advanced Higher Maths 2011-2012 : Discussion and HelpJust realised that you can figure out the mass of the earth from the info on the question. I think that's what he meant.(Original post by Marcus4004)
Id like to know how you got the answer without the mass of the earth... (although the mass is easy to work out if you know the radius and G)
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Re: Advanced Higher Maths 2011-2012 : Discussion and HelpOn the surface of a planet, the force due to the inverse square law of gravitation is the same as mg,(Original post by ThunderShade)
Can I ask how?
Q: An International Space Station is held in a circular orbit by the Earth's gravitational field and travels at a height of 390km above the surface of the Earth.
Given that the radius of the Earth is 6380km, calculate:
(a) the speed of the satellite in its orbit;
(b) the number of times the satellite orbits the Earth in one day.
You should assume that Newton's Inverse Square Law of Gravitation applies.
So you can write GMm/R^2 = mg
G = grav constant
M = Earth mass
m = mass of object
R = Earth Radius
That equation can be re-arranged to give GM = gR^2
So you can take out G and M in the question so you only have to use R which you are given. -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpA1-A4: Pretty standard fodder, although I have to admit I'm hazy on my tests now. (Combination of interests elsewhere in statistics and convenient wizards in software like SPSS.) I would have defaulted to a t-test for A4(a) - what were they expecting? z-test?(Original post by laughylolly)
So what do you think of the paper? I think overall it was alright apart from A8 b) I think it was. The binomial 2 sigma one. That just threw me completely off. Probably didn't help that I didn't read the question properly.
A5: Not too tricky, but I like this style of question.
A6: Bookwork.
A7: Slightly trickier bookwork.
A8: Okay, but I expect reading the question helps! From what you say, at least doesn't seem like it's likely to affect your grade.
A9: Straightforward.
Seems unremarkable! The style of the exam hasn't changed from when I sat and revised it, and my thoughts then and now are that, if you've done the past papers to get the practice in, it's almost a case of 'same question, different numbers'. Thanks for uploading
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Re: Advanced Higher Maths 2011-2012 : Discussion and HelpFor A4 I did z-test purely because it gave to the standard deviation. And because part b) said about the t-test and was a clear hint that you shouldn't do that in part a.(Original post by TheUnbeliever)
A1-A4: Pretty standard fodder, although I have to admit I'm hazy on my tests now. (Combination of interests elsewhere in statistics and convenient wizards in software like SPSS.) I would have defaulted to a t-test for A4(a) - what were they expecting? z-test?
A5: Not too tricky, but I like this style of question.
A6: Bookwork.
A7: Slightly trickier bookwork.
A8: Okay, but I expect reading the question helps! From what you say, at least doesn't seem like it's likely to affect your grade.
A9: Straightforward.
Seems unremarkable! The style of the exam hasn't changed from when I sat and revised it, and my thoughts then and now are that, if you've done the past papers to get the practice in, it's almost a case of 'same question, different numbers'. Thanks for uploading
A5 was a gift of a question because you know what you are aiming for. I made a silly mistake at first by taking the chi squared value but then I realised my mistake cause I didn't get r > 0.40.
A7 I didn't think it was too bad. c) I wasn't sure about but I said that they could check the residual model and that they could calculate a prediction interval. Thing about linear regression questions is that all your formulas are in the book so that does make them a bit easier. I just don't like having to work out s, SSR and b and all that. Although I guess I could have done it all on my calculator but I don't trust it all the time.
A9 At first I was like :O how am I supposed to like know the values from that dot plot! I spent ages like writing out all the values then after the exam was done I was like, wait I only needed to know the rank *facepalm* which would have been easy to read off the dot plot. I still got the same rank sums as someone in my class who did it the easier way so. And I did the 1/2N(N+1) check as well and it was okay. Part b) also threw me off a bit but then I understood what it meant and I think I got the marks
I think one of the hardest things with stats is understanding the question. The questions are so wordy compared to Pure maths and Mechanics that if you don't read the question right, you probably won't get the marks.
I hope it went okay though. I think I got either 30 or 31 out of 32 in section B so that means I can loose like another 20 something marks in the stats part. Really need that A!Last edited by laughylolly; 26-05-2012 at 17:05. -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpAccording to our teacher question 12 was not part of the syllabus!(Original post by randomhero12)
I used what I think is the right marking scheme and got 91/92 depending on the marker but I still don't understand q12. Would've never have done that in a million years! -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpWhat, the chain rule?(Original post by whylime)
According to our teacher question 12 was not part of the syllabus!
Even the context itself is explicitly mentioned as acceptable at Higher: "Rates of change (equations of motion, for example) are often expressed with respect to time. Work should include other rates, eg rate of change of volume of a sphere with respect to radius."
My feeling is that it was probably quite hard for an Advanced Higher, in terms of problem solving, but you certainly know all the maths you need to. The calculations themselves aren't even particularly difficult. -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpI managed to answer the question however I am just saying that our Maths teacher said it is not part of the syllabus. He was surprised it came up.(Original post by TheUnbeliever)
What, the chain rule?
Even the context itself is explicitly mentioned as acceptable at Higher: "Rates of change (equations of motion, for example) are often expressed with respect to time. Work should include other rates, eg rate of change of volume of a sphere with respect to radius."
My feeling is that it was probably quite hard for an Advanced Higher, in terms of problem solving, but you certainly know all the maths you need to. The calculations themselves aren't even particularly difficult. -
Re: Advanced Higher Maths 2011-2012 : Discussion and HelpSure, and I'm just saying I disagree with him(Original post by whylime)
I managed to answer the question however I am just saying that our Maths teacher said it is not part of the syllabus. He was surprised it came up.
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Re: Advanced Higher Maths 2011-2012 : Discussion and HelpYou?(Original post by nole81)
Will anyone set up a similar thread to this for advanced higher 2012/13?
There's nothing special about this thread, it was just started by someone at the same stage you are at.
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Re: Advanced Higher Maths 2011-2012 : Discussion and HelpYeah. We learn fast you see.(Original post by nole81)
Same stage as me? I'm a teacher. :-)
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