**HL Maths Paper 2 before/after**

outnumbered

Hopefully this paper is even nicer than Paper 1. In the mocks I always did better here!
So here's the line up:
Co-ordinate Geometry- Line and circle.
Trigonometry
Geometry
Theorems
Constructions
Probability
Statistics.

Leaving Cert Student

Anyone havve a list of the things to be learnt off?

peekachoo

any predictions for the constructions?

Monsieur Folie

peekachoo wrote: »

any predictions for the constructions?

Judging by the standard of paper one, they'll probably ask us to draw a straight line using a ruler or something. :P


This should be grand. Anyone got tips for stats & prob though? We rushed through them there at the end of the year..

kevin12345

Monsieur Folie wrote: »

Judging by the standard of paper one, they'll probably ask us to draw a straight line using a ruler or something. :P


This should be grand. Anyone got tips for stats & prob though? We rushed through them there at the end of the year..

http://studynotes.ie/leaving-cert/maths/mathematics-leaving-certificate-hl-pdf-notes/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed:+studynotesie+%28StudyNotes.ie%29

The statistics is actually quite good, the first statistics link has all the definitions we need to know.

Monsieur Folie

kevin12345 wrote: »

http://studynotes.ie/leaving-cert/maths/mathematics-leaving-certificate-hl-pdf-notes/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed:+studynotesie+%28StudyNotes.ie%29

The statistics is actually quite good, the first statistics link has all the definitions we need to know.

Our teacher gave us those notes, she put them on our USB sticks.. The ones I have looked at are quite good.

Has all the definitions? That's perfect! Thank you! I plan on spending all day Sunday doing sample papers, didn't have an opportunity to do that for paper one because of the beast that is Geography. :P

CoolDudesJunk

So.. anybody going to study for Irish?

ctbfashion

Did anybody else do paper one on white paper rather then the pink exam paper in higher level I'm panicking here.

Am I the only one who finds Co-Ordinate geometry of the circle absolutely impossible to do in the papers? I skipped it in my mocks and in most of the sample papers. It's just a whopper 25 marker and I just get so lost, don't even know where to start.
All in all, this is my strong paper, got 260/300 in the mock (even though a 10 mark q was marked wrong when it was right) Looking forward to see what they'll throw at us this year

DH2K9

ctbfashion wrote: »

Did anybody else do paper one on white paper rather then the pink exam paper in higher level I'm panicking here.

I did my extra attempts on white paper. I've been told you are allowed do it

outnumbered

Okay so this is where i'm getting a little confused, Which theorems can come up in that q6 thing?
Also, now that the exams are coming up altogether, finding the balance between each subject is proving difficult!

One more question, Do we need to be able to find the "carthesian equation" if a circle. i.e. given two parametric equations x and y, find the cartheian equation of the ciorcal?

Slow Show

outnumbered wrote: »

Okay so this is where i'm getting a little confused, Which theorems can come up in that q6 thing?
Also, now that the exams are coming up altogether, finding the balance between each subject is proving difficult!

One more question, Do we need to be able to find the "carthesian equation" if a circle. i.e. given two parametric equations x and y, find the cartheian equation of the ciorcal?

11,12,13 - the one about the parallel lines making equal intercepts on any transversal, the one with similar triangles having sides in the same ratio and the parallel lines, parallel line to two sides of a triangle cuts the sides of a triangle in the same ratio. The carthesian equations are old course, they're not on Project Maths, no worries.

Anyway, question, do we need to know anything about inverse trig graphs? I'm positive we've never touched them in class but just found something about the domains and ranges of them.

outnumbered

Slow Show wrote: »

11,12,13 - the one about the parallel lines making equal intercepts on any transversal, the one with similar triangles having sides in the same ratio and the parallel lines, parallel line to two sides of a triangle cuts the sides of a triangle in the same ratio. The carthesian equations are old course, they're not on Project Maths, no worries.

Anyway, question, do we need to know anything about inverse trig graphs? I'm positive we've never touched them in class but just found something about the domains and ranges of them.

Great! so that's all that can be asked? :O

Do you mean sin^-1??? if yes, then no!

suitcasepink

So is it just those 3 theorems, constructions and proof by contradiction that needs to be learnt off?
Under estimated this paper.. All along it had been my better but I havnt touched it in so long coz I was concentrating on improving paper 1

outnumbered

deise_girl wrote: »

So is it just those 3 theorems, constructions and proof by contradiction that needs to be learnt off?
Under estimated this paper.. All along it had been my better but I havnt touched it in so long coz I was concentrating on improving paper 1

What do you mean proof by contradiction? Can that not apply to anything? How do you go about it?

Slow Show

There are 21 proofs in total you need to be able to apply but not prove too, judging by the samples I don't think they come up in q6 but certainly in the big Trig/Geometry C&A question, yeah. Some are simple, like 'All angles in a triangle sum up to 180 degrees', other stuff from JC like 'The angle at the centre of a circle is twice the angle at any point of the circle standing on the same arc' and a few that were new to me. You can also be asked to define axiom, corollary etc. and perhaps give examples, not sure about that.

outnumbered

Slow Show wrote: »

There are 21 proofs in total you need to be able to apply but not prove too, judging by the samples I don't think they come up in q6 but certainly in the big Trig/Geometry C&A question, yeah. Some are simple, like 'All angles in a triangle sum up to 180 degrees', other stuff from JC like 'The angle at the centre of a circle is twice the angle at any point of the circle standing on the same arc' and a few that were new to me. You can also be asked to define axiom, corollary etc. and perhaps give examples, not sure about that.

Yeah sometimes you don't realise you are answering about a proof, it's just basic math!
Ohhh yeah would you by any chance have a list of the theory we need to know? Or where could i find it?
I'm sure they'll also ask something about carrying out surveys too!

RML

deise_girl wrote: »

So is it just those 3 theorems, constructions and proof by contradiction that needs to be learnt off?
Under estimated this paper.. All along it had been my better but I havnt touched it in so long coz I was concentrating on improving paper 1

Do we have proof by contradiction in Paper 2??? :eek:

Leaving Cert Student

RML wrote: »

Do we have proof by contradiction in Paper 2??? :eek:

Yeah it is in one of the sample paper twos, it's a right peach though I would love to see it come up

Prodigious

As far as the theorems go, the ones marked with the stars can be asked to be proven, the other ones we just have to know.

Link

suitcasepink

outnumbered wrote: »

What do you mean proof by contradiction? Can that not apply to anything? How do you go about it?

Errm well its another proof(think theres a few ways of doing it) but youre basically saying if that is true well then all these things(stupid things that everyone knows are wrong) have to be right.. Then at the end its basically LOL JK that cant be right do that statements wrong. Personally think its stupid but its pretty handy

Leaving Cert Student

deise_girl wrote: »

Errm well its another proof(think theres a few ways of doing it) but youre basically saying if that is true well then all these things(stupid things that everyone knows are wrong) have to be right.. Then at the end its basically LOL JK that cant be right do that statements wrong. Personally think its stupid but its pretty handy

stupid? hah it's one of the most elegant mathematical proofs

yournerd

Anyone have any other useful links? My teacher rushed through the constructions..

Kingkumar

what about trig identity proofs..do we need to learn those? if so which ones?

kevin12345

Here's an easy enough Proof by Contradiction. Not a fan of the one in the book myself.

http://www.educate.ie/solutions/HL%20Solutions/HL%20SPB%20Solutions/HLSPBSoln(P2Q6A).pdf

Vito Corleone

How do you do get the correlation coefficient on the calculator? This is the calculator I use. Thanks.

0mega

Vito Corleone wrote: »

How do you do get the correlation coefficient on the calculator? This is the calculator I use. Thanks.

MODE STAT 2 (Enter Data) AC SHIFT 1 5 3 =

Parawhore.xD

Vito Corleone wrote: »

How do you do get the correlation coefficient on the calculator? This is the calculator I use. Thanks.

Mode: 2:Stat
2:A+BX
Plug in your co-ordinates and their frequency (usually just 1)
AC (clears it all which seems awful at first)
5:Reg
3:r

That's how it works for me with that calculator

outnumbered

I was just doing statistics exam questions. Is it just me or is it really easy? :O
Let us pray that we get an easy paper!!!
Also, you know for that question 6a? is that just one of those proofs on its own or stuff with it?
Also, where can them constructions/transformations come up?

lizardspock

Does anyone have the answer the probability question on 2010 paper? (it's page 232 edco papers). It says it's deferred material but my teacher said it's actually on our course, ended up quickly brushing over the central limit theorem on the last day of school!

outnumbered

lizardspock wrote: »

Does anyone have the answer the probability question on 2010 paper? (it's page 232 edco papers). It says it's deferred material but my teacher said it's actually on our course, ended up quickly brushing over the central limit theorem on the last day of school!

I don't have the answer but it's definitely on the course!
You must use the central limit theorem if the sample size is less than 30 as otherwise it's not a normal distribution. If you have the Active Maths book, it's in the extra supplement they sent out. Do lots of questions from there and it isn't too bad! I will do this question when I'm revising it and put it up.

outnumbered

doeas anyone know how to find standard deviaiton on a casio calculator??

wow exuberant

**** i forgot to put it as 8900 i left it as a decimal

Phoenix Wright

Not dreading anything on this paper really, just hope I can interpret the probable 75 mark trigonometry question. I hate the circle and learning those three theorems of course :pac:

Vito Corleone

I'm terrible at the circle questions. Does anyone find that the mock paper (DEBS) is very different from the samples? Which one do you think the real thing will be like?

Not looking forward to this one tbh.

outnumbered

Schools were advised to take the geometric apporach to the circle question rather than the algebraic approach (tables).
So drawing and stuff is what they want us to be doing!

Kingkumar

lizardspock wrote: »

Does anyone have the answer the probability question on 2010 paper? (it's page 232 edco papers). It says it's deferred material but my teacher said it's actually on our course, ended up quickly brushing over the central limit theorem on the last day of school!

You can find the answer on the state examination commission website but here it is
H : 40 µ = mm (null hypothesis)
H : 40 µ ≠ mm (alternative hypothesis)
σx = 0·2/sq(10) = 0·0632456

Observed value of x =39·87
∴ Observed z = (39·87 - 40 2·055)/0·0632456 = -2.055

The critical values for the test are ±1·96
As –2·055 < –1·96, we reject the null hypothesis at the 5% level of significance and we
conclude that the machine setting has become inaccurate.

my teacher said its not on our course and i dont really understand the way they did it here also where does the 1.96 come from? has any1 got notes on this type of q they can post up? would be very helpful

Copper_pipe

Guys I have a question about Q2 here,

http://www.examinations.ie/archive/exampapers/2012/LC003ALP200EV.pdf

Part A is fine

part B I got a bit stuck so I drew out a scaled diagram, 1 unit=1cm . I then drew the two circles using the answers from part a, and sure enough they touch externally, Will I get the marks for this?

For part C it says to prove they have the point (4,7) in common, using my diagram in part B I saw that they had the point (4,7) in common. Again will I get the marks?

outnumbered

Copper_pipe wrote: »

Guys I have a question about Q2 here,

http://www.examinations.ie/archive/exampapers/2012/LC003ALP200EV.pdf

Part A is fine

part B I got a bit stuck so I drew out a scaled diagram, 1 unit=1cm . I then drew the two circles using the answers from part a, and sure enough they touch externally, Will I get the marks for this?

For part C it says to prove they have the point (4,7) in common, using my diagram in part B I saw that they had the point (4,7) in common. Again will I get the marks?

for B you get the distance of the line of the two centres.
then you add both radii together.
these will be equal.
this proves they are touching.
draw two circles touching and you'll see it better!

SmidgeBall

What about deriving the formulae in Trig? Is it worth learning off? like.. I find them so confusing and am considering taking the risk and focusing on learning off stuff for 6(a)

outnumbered

SmidgeBall wrote: »

What about deriving the formulae in Trig? Is it worth learning off? like.. I find them so confusing and am considering taking the risk and focusing on learning off stuff for 6(a)

Well yeah i'd say do it. it will more than likely appear tbh!

bluejay14

outnumbered wrote: »

Schools were advised to take the geometric apporach to the circle question rather than the algebraic approach (tables).
So drawing and stuff is what they want us to be doing!

I have no clue what you mean by either of those :L

outnumbered

bluejaymraz wrote: »

I have no clue what you mean by either of those :L

Do you know where in the tables there are forumlas for finding centre and all that? well they don't like us using those and so will make it more of a diagram question. (so i've been told!)

bluejay14

outnumbered wrote: »

Do you know where in the tables there are forumlas for finding centre and all that? well they don't like us using those and so will make it more of a diagram question. (so i've been told!)

Pffft formulas all the way. That being said, I am attrocious at the circle questions, especially finding their equations and stuff. So hopefully drawing some kind of diagram will get me some marks.

lizardspock

Kingkumar wrote: »

You can find the answer on the state examination commission website but here it is
H : 40 µ = mm (null hypothesis)
H : 40 µ ≠ mm (alternative hypothesis)
σx = 0·2/sq(10) = 0·0632456

Observed value of x =39·87
∴ Observed z = (39·87 - 40 2·055)/0·0632456 = -2.055

The critical values for the test are ±1·96
As –2·055 < –1·96, we reject the null hypothesis at the 5% level of significance and we
conclude that the machine setting has become inaccurate.

my teacher said its not on our course and i dont really understand the way they did it here also where does the 1.96 come from? has any1 got notes on this type of q they can post up? would be very helpful

Thanks for the answer
you've got 2.5% on either tail (5% level of significance). So 100% - 2.5%= 97.5% which =0.975. Go to the z-tables, read backwards from 0.975 and you'll get z=1.96
Since the normal curve is symmetric you'll have +/- 1.96
So basically just remember +/-1.96 for 5% level of significance!

Monsieur Folie

Geometric approach? Ew, I prefer the algebraic approach myself, having mastered it in fifth year. :P
A question geared towards a geometric approach could throw me..

Moody_mona

yournerd wrote: »

Anyone have any other useful links? My teacher rushed through the constructions..

Math open ref have step by step animations of loads of Constructions; they're not numbered as in the Irish syllabus but very useful nonetheless. Have a Google of it.

bigboy123

Realistically does anyone think those trig proofs are going to come up? With exception maybe of sin/cos rules which could be bumped in at the end of a trig question, all those other proofs seem pretty archaic and against the overall ideals of project maths,

barrhe

bigboy123 wrote: »

Realistically does anyone think those trig proofs are going to come up? With exception maybe of sin/cos rules which could be bumped in at the end of a trig question, all those other proofs seem pretty archaic and against the overall ideals of project maths,

Theorem 11, 12 or 13 might be up I'd say

Central limit theorem? Never heard of it! And Active Maths never sent a supplement to my school as far as I know

outnumbered

Deleted User wrote: »

Central limit theorem? Never heard of it! And Active Maths never sent a supplement to my school as far as I know

Jesus, they should have!
It's a little blue booklet named "Chapter 4: Statistics II New section: Sampling."