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Higher Math Exam

I enjoy a good challenge as well, also you are not the only one who finds optimization difficult. It always seems to be the "prove the formula equals this" that catches me out, if that bit is easy then the differentiation bit is always hard. I have a few examples but I don't have any worked solutions.

Reply 141

Rapidfire

Here are a few optimisation questions you could try. I don't find it very difficult but thats because I am good at it. Just ask me if you need help with any part of the questions. I will keep posting more questions if I find more.

Reply 142

jodaxx

ok thanks anyways. Think the first part is only worth about 3 marks anyway so i'll just focus on the differentiation since im better at that. Does anybody know the usual grade boundaries for maths??

Reply 143

claireeex

Thanks guys

2002 paper 2 - question 10.
(number 9 i didnt know what an integer was haha)
2002 winter diet, paper1 - question 9

Just a couple of the ones i found hardest from today, i have to check through my 2005-2008 book because ive learnt how to do some stuff since i last did them :biggrin:

Reply 144

jodaxx

Rapidfire

Here is an optimisation question you could try. I don't find it very difficult but thats because I am good at it. Just ask me if you need help with any part of the question.

i'll have a bash at that just now! ta :smile:

Reply 145

Dado Prso

7

claireeex

Thanks guys

2002 paper 2 - question 10.
(number 9 i didnt know what an integer was haha)
2002 winter diet, paper1 - question 9

Just a couple of the ones i found hardest from today, i have to check through my 2005-2008 book because ive learnt how to do some stuff since i last did them :biggrin:

heres my attempt 02 winter diet, paper 1 question 9

h(x) = f(f(x))

h(x) = f (3/x+1)

h(x) = 3/(3/x+1) + 1

simplify the bottom to 4+x/x+1

so 3 divided by 4+x/x+1

h(x) = 3x+3/4+x

b) x cannot be -4

dont have the answers in front of me so not sure if thats right. dont have access to 2002 paper.

Reply 146

Rapidfire

Dado Prso

heres my attempt 02 winter diet, paper 1 question 9

h(x) = f(f(x))

h(x) = f (3/x+1)

h(x) = 3/(3/x+1) + 1

simplify the bottom to 4+x/x+1

so 3 divided by 4+x/x+1

h(x) = 3x+3/4+x

b) x cannot be -4

dont have the answers in front of me so not sure if thats right. dont have access to 2002 paper.

Just want to say be sure to put brackets to indicate adding before dividing otherwise you will lose marks in the exam.

Reply 147

Dj-Dark-1

Damn, I was beating to that answer. I took a more personal approach, wrote the answer on paper and took a picture of it. Here it is, if you want to see the answer on paper: http://img212.imageshack.us/img212/8963/chrisf0001.jpg

Reply 148

Dado Prso

7

how do i go about using that latex stuff that ive seen?

Reply 149

gemma1234

quick question, see in optimisation (e.g. the second one posted by rapidfire above) when it says "find the dimensions..." im assuming you have to put it in terms of length, breadth or whatever rather than just stating what x is?

Reply 150

Dj-Dark-1

Here are two more optimizations that are extremely hard, try the window one. Sorry for the bad quality:

Here is a bigger image of the window questions just incase you couldn't see the text. http://img216.imageshack.us/img216/8963/chrisf0001.jpg

Reply 151

Rapidfire

I can't read the window question but I know I can easily do the second one as I have done it before.

Reply 152

darkraver

10

:O I've never seen the window question before, thanks for putting it up gonna try it now!

EDIT: I've also attached my school's Unit 3 2004-2005 Prelim. It's got some nice questions so yeah if you lack resources/materials then have a go at this.

School Unit 3 2004-2005 Prelim.pdf437.6KB

Reply 153

CallumFR

9

I've uploaded Q10 from 2002 paper 2. Hopefully someone will benefit from it.

h_maths_2002_paper_2_q10.pdf125.5KB

Reply 154

Dj-Dark-1

Rapidfire

I can't read the window question but I know I can easily do the second one as I have done it before.

Sorry for the bad quality, you maybe able to read the question here.

Reply 155

Dj-Dark-1

CallumFR

I've uploaded Q10 from 2002 paper 2. Hopefully someone will benefit from it.

Ahh that one, just use similar triangles to get the value of l and use a similar method to get b. Using these two you should be able to get the area. Then differentiate to find a maximum.

Reply 156

Dado Prso

7

the window question for anyone struggling with the first part.

Spoiler

cracking question. where was it from?

Reply 157

Dj-Dark-1

It was in my second prelim in school. I think it's from an sqp for the 2000 paper. I have a worked solution as well, if anybody wants me to upload it.

Reply 158

claireeex

Dj-Dark-1

Damn, I was beating to that answer. I took a more personal approach, wrote the answer on paper and took a picture of it. Here it is, if you want to see the answer on paper: http://img212.imageshack.us/img212/8963/chrisf0001.jpg

Ahhhh, i wasnt sure when Dado Prso said about simplifiying what to do.

I considered multiplying..but i have a tendency to ignore my instincts.

Thanks a lot, that really helped me