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Higher Maths 2013-2014 : Discussion and Help Thread

**2014 Paper Solutions***


http://www.thestudentroom.co.uk/showthread.php?t=2446473&page=76&p=47473405#post47473405

Paper

http://www.thestudentroom.co.uk/showthread.php?t=2446473&page=68&p=47467460#post47467460


For students studying Higher Mathematics, this thread is designed for you to post specific questions that you need help with, they can be homework, past papers or a question your teacher set you in class - or any higher maths question for that matter.

How to post a question?

There are a few ways you can do this:

1. Use The Student Room's own mathematical input system called, "Latex" this involves typing codes which will translate into symbols and maths-y magic, it's not as complicated as it sounds! Here's the link on how to do it

http://www.thestudentroom.co.uk/wiki/LaTex


It should look like this x2+2x−3x^2+2x-3

2. Take a clear picture of the question and upload it.

3. Write the question in English so for example: x squared + 2x - 3 or x^2+2x-3

4. If it's a past paper or an online question, you can post a link and indicate which question you're stuck on.

Rules when posting:

1. Do not simply post a question using one of the methods above without a comment explaining where you are with the question. If you have any working please post that with the question, even if it's a picture of your written work!

2. If you don't know where to start and have no working, then tell us otherwise it's inevitable you'll get a reply saying, "can you post your working please." Trust me, it saves time for everyone.

3. Only post a question twice if it goes unanswered and gets lost among other answers, otherwise you'll be accused of spamming and it's annoying.

4. If it's not the question you don't understand but rather the topic itself, i.e "I don't know how to differentiate!" Then when you post the question, please tell us this so we can quickly explain it or better yet pass you onto a link where you can learn.

5. When posting, ALWAYS tell a funny maths joke otherwise you won't get a response. I'm just kidding, although funny maths jokes never hurt...

Use this help thread to ask questions, discuss topics, problems etc.

And I STRONGLY encourage ALL of you to start studying now, believe me when it comes to studying, looking over something you already previously mastered is much easier than trying to relearn a topic from October when it's prelim time. Stay on top of your studies!

Past Papers can be found here:
http://maths777.weebly.com/exam-papers-and-solutions-20001---pre-cfe.html

The best solutions are on the Invergordon website:
http://www.invergordonacademy.org.uk...-documents.asp

Older past papers and solutions:
https://sites.google.com/a/edubuzz.o...rs/home/higher

Books:

Higher Maths (Heinemann Higher Mathematics) http://www.amazon.co.uk/Higher-Maths.../dp/0435516132

The book I used for my higher (very suitable):

http://www.amazon.co.uk/Heinemann-Hi...6271167&sr=1-1


http://www.amazon.co.uk/Revise-Heine...3395181&sr=8-9

Practice NABs:

Unit 1: http://www.invergordonacademy.org.uk...20Unit%201.pdf


Unit 2: http://www.invergordonacademy.org.uk...20Unit%202.pdf


Unit 3: http://www.hsn.uk.net/resources/HSN23510


Notes and more practice NABs: http://www.hsn.uk.net/resources/Higher-Maths/

And last but most certainly not least, this guy has went through every past paper on the SQA website and done a video solution of each question.

http://www.youtube.com/user/DLBmaths/videos?flow=grid&view=1

Here's a video of DLB Maths going through practice NABs

http://www.youtube.com/watch?v=Tuz60mRUhic

http://www.youtube.com/watch?v=ofu9bvbv_s0&list=WLiCQTHkjv5EHesgXkHwKxuh8rJWtD-u0-

http://www.youtube.com/watch?v=GR4rRqrX9YA&list=WLiCQTHkjv5EHesgXkHwKxuh8rJWtD-u0-

http://www.youtube.com/watch?v=5UCUFDQ5-RI&list=WLiCQTHkjv5EHesgXkHwKxuh8rJWtD-u0-


Well ladies and gents, here we go again!

Ace
(edited 9 years ago)

Scroll to see replies

Subbed, also you're Past paper link is down :smile: I posted this on the AH thread, but it has Higher papers from 2000 on it aswell.
Reply 2
Avatar for I am Ace
I am Ace
OP
4
Original post by TheFOMaster
Subbed, also you're Past paper link is down :smile: I posted this on the AH thread, but it has Higher papers from 2000 on it aswell.


Cheers
Reply 3
Avatar for Asklepios
Asklepios
19
I'll start the ball rolling with the Maths Jokes. A good way to remember your graphs:

dance-moves-maths.jpeg
Reply 4
Avatar for Nessie162
Nessie162
17
Hello :biggrin:
My first maths question this year! :tongue: Easy peasy but I can't remember how to do it.
Find the equation of the line through the point (3,-5) which is parallel to the line with equation 3x + 2y - 5 = 0
(answer is 2y + 3x = -1 )

Thanks... :smile:
Original post by Nessie162
Hello :biggrin:
My first maths question this year! :tongue: Easy peasy but I can't remember how to do it.
Find the equation of the line through the point (3,-5) which is parallel to the line with equation 3x + 2y - 5 = 0
(answer is 2y + 3x = -1 )

Thanks... :smile:


Parallel lines have the same gradient.
Put 3x + 2y -5=0 into the form y=mx+c
Then use y-b=m(x-a) to find the equation of the line :smile:
Reply 6
Avatar for Nessie162
Nessie162
17
Original post by Pennyarcade
Parallel lines have the same gradient.
Put 3x + 2y -5=0 into the form y=mx+c
Then use y-b=m(x-a) to find the equation of the line :smile:


Thanks :smile:
Can anyone help me with number 8 please :biggrin:?
Maths joke : why did the mathematical tree fall over? Because it had no real roots.

Posted from TSR Mobile
1377635687058.jpg52.9KB
Reply 8
Avatar for Memetics
Memetics
8
Subbing.:biggrin:

This should be interesting/useful. I've already been doing Higher for a year now as part of a two year course, so I'm already finished unit 1 and half of 2.

And the matter of the joke... Be careful, It'll blow your mind

Spoiler


Yeah, I went there.
Original post by Pennyarcade
Can anyone help me with number 8 please :biggrin:?
Maths joke : why did the mathematical tree fall over? Because it had no real roots.

Posted from TSR Mobile


Take a better photo or type out the question? I can't read it :/
subbed

I need da help brahs.

Seriously though, this should be good year!
Original post by TheFOMaster
Take a better photo or type out the question? I can't read it :/


Functions f(x)= 1 over x-4 and g(x)=2x + 3


a)find the expression for h(x) where h(x) = f(g(x))
B) write down any restriction on the domain of h
Original post by Pennyarcade
Functions f(x)= 1 over x-4 and g(x)=2x + 3


a)find the expression for h(x) where h(x) = f(g(x))
B) write down any restriction on the domain of h


Do you need help with both parts or just one part?


(A)

Spoiler



(B)

Spoiler

Original post by Pennyarcade
Functions f(x)= 1 over x-4 and g(x)=2x + 3


a)find the expression for h(x) where h(x) = f(g(x))
B) write down any restriction on the domain of h


a) Basically your wanting to express g(x) as a function of of f(x) which is itself expressed as a function of f(x). So like for g(1) you would sub in '1' for every value of x. Instead of subbing in 1, your subbing in f(x) which is 1x−4 \frac{1}{x-4}

Edit: Oops, I read it as g(f(x)) rather than f(g(x)) :s-smilie: points still apply though!

b) The domain is the range of values the function can take. A restriction on the domain of h(x) would be a value where h(x) is undefined. This occurs because the function h(x) is a fraction, and in this case has a single value where as x approches it, h gets infinitely bigger. This is called an asymptote, but you don't need to know this just now. So, what value of x would cause h(x) to be an infinitely large number?

Spoiler

(edited 10 years ago)
Original post by Pennyarcade
Can anyone help me with number 8 please :biggrin:?
Maths joke : why did the mathematical tree fall over? Because it had no real roots.


Please see the rules for posting in the OP...

And for answerers, please see here.
Original post by Asklepios
x



Original post by TheFOMaster

x


Thanks guys :smile:
Reply 16
Avatar for I am Ace
I am Ace
OP
4
I just realised some of those colours hurt your eyes, I'll need to fix that at some point
Hello no 'sums' or joke just a question regarding the maths textbook currently being used for sqa higher maths in schools. Can someone tell me what one it is so I can order it? Thanks a bunch!


Posted from TSR Mobile
Original post by Back2studying23
Hello no 'sums' or joke just a question regarding the maths textbook currently being used for sqa higher maths in schools. Can someone tell me what one it is so I can order it? Thanks a bunch!


Posted from TSR Mobile


Different schools use different books, so ask your teachers. At my school we use the 'Heinemann Higher Mathematics' I think we'll also being using another one though but I can't remember what's it's called. Just for thinking ahead, it may be better not to buy your own as it will be difficult to sell it on for next year as the higher course is changing, though admittedly I'm not sure how different it is.
what is f(g(x)) when f(x)= x^2 -1 and g(x) = x^2 + 2

My working:
f(g(x))= (x^2 + 2)^2 - 1
= x^4 + 4 - 1
= x^4 + 3

Where as the correct answer is x^4 + 4x^2 + 3
What am I missing? Thanks :smile:

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