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Maths Paper 2 Predictions

  • 06-06-2009 6:37pm
    #1
    Registered Users, Registered Users 2 Posts: 48


    Anyone have any ideas on what theorems are gonna come up?


Comments

  • Closed Accounts Posts: 27 evansmiley


    i'd say they'll probably have one of the circle ones (maybe), like the one about the angle at the centre of the circle being twice the one at the circumference, on the same arc. If one of these doesn't come up, i'd say one of the other long ones will come up like the equi angular triangles or pythagoras. For the rest, it's fairly obvious. question one will most likely have a cylinder, a cone, and a sphere. for q2 i would advise knowing how to find the slopes, the distances(to help remember, its exactly the same as pythagoras' with your length as the hypotenuse), also know how to get the equation of the line when given a point and the slope, and being able to prove two lines are perpindicular or parallel. know all the circle things for q3 like cyclic quadrilaterals etc, know about proportionate sides for question 4. the sine rule will definitely come up in question 5, though also know how to draw angles when given the sine, and being able to give the angles when given the cos or sine eg when cos is -.5. you don't really need to know a lot for q6 just how to find the mean, draw a histogram, do a frequency distribution graph and be able to work out the mean from it and the interquartile range, etc. So in reality, not much eh...:D:rolleyes::p:(


  • Registered Users, Registered Users 2 Posts: 7,962 ✭✭✭jumpguy


    I drew up a table of the theorems that came up since the new course (2003 papers, NOT including the 2003 sample paper.)...

    Don't take my word for any of this

    Two theorems usually come up every year to prove (in 2006 three came up, thanks beano-lawd), (note I said to prove, NOT to apply, so you still need to know them all)

    I think theorem 9 is a likely candidate. It has only come up once and that was ages ago back in 2004.

    Theorem 10 has also only come up once, but it was only in 2006. I don't think they'll ask us two of the longest theorems on the course on one paper. That'd be just nasty.

    Theorem 1 has never come up. But it is very easy and short. Maybe we could get it as a part A? But I'd say if we did get theorem 1, there's a chance they'll give us 3 theorems to prove. I don't think we'll get it unless they give us 3 theorems to prove.


    Theorem 6 has only come up once, back in 2004.


    In conclusion, I think one of the parellelogram theorems will come up, probably theorem 6, and theorem 9. You all have to give me 20 Euro if I'm right. :D


  • Closed Accounts Posts: 25 beano-lawd


    you're wrong man....... in 2006 3 theorems came up... opposite sides of a parellelogram, exterior angle in triangle and pythagoras' came up ;) food for thought maybe.....


  • Registered Users, Registered Users 2 Posts: 7,962 ✭✭✭jumpguy


    beano-lawd wrote: »
    you're wrong man....... in 2006 3 theorems came up... opposite sides of a parellelogram, exterior angle in triangle and pythagoras' came up ;) food for thought maybe.....
    Ahh I knew it was too odd that opposite sides and angles never came up. Thanks! I think theorem 6 might come up then.


  • Closed Accounts Posts: 44 iheartboosh


    I found this site unbelievably helpful.
    It's from one of the best maths teachers in Ireland so his predictions for the theorems are probably very accurate (although you should not rely on his advice entirely!)


    here's the link
    http://www.examsupport.ie/articles/mathtipsJCH_8_frame.html


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  • Closed Accounts Posts: 25 beano-lawd


    I found this site unbelievably helpful.
    It's from one of the best maths teachers in Ireland so his predictions for the theorems are probably very accurate (although you should not rely on his advice entirely!)


    here's the link
    http://www.examsupport.ie/articles/mathtipsJCH_8_frame.html

    cheers for that


  • Registered Users, Registered Users 2 Posts: 25 johnf1004


    i heard off a guy who knows a guy who - (etc) said that the theorem is comin up that says if two triangles are equingular(?) the length of their corresponding sides are proportional....its that one where you put the small trinangle into the big triangle....


    and also thanks for that site i'l be studyin them ones aswell


  • Registered Users, Registered Users 2 Posts: 48 RoscoBosco93


    Its hardly fair if they give one of the tougher theorems (9 or 10) after paper 1 which was way harder than 07 and 08. Paper 2 has to be easier!


  • Closed Accounts Posts: 6,298 ✭✭✭Namlub


    jumpguy wrote: »
    Theorem 10 has also only come up once, but it was only in 2006. I don't think they'll ask us two of the longest theorems on the course on one paper. That'd be just nasty.
    Dear God don't let the Pythagoras one come up!


  • Registered Users, Registered Users 2 Posts: 7,962 ✭✭✭jumpguy


    Namlub wrote: »
    Dear God don't let the Pythagoras one come up!
    Theorem 10 is Pythagorus. :confused: I don't think so, I'd say theorem 9 (To prove that the sides of two equiangular triangles are in proportion) is more likely.

    In response to Roscobosco, Paper 1 could easily be compensated by an easier marking scheme, paper 2 could be exact same.


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  • Registered Users, Registered Users 2 Posts: 90 ✭✭Dougal.Maguire


    jumpguy wrote: »
    Theorem 10 is Pythagorus. :confused: I don't think so, I'd say theorem 9 (To prove that the sides of two equiangular triangles are in proportion) is more likely.

    In response to Roscobosco, Paper 1 could easily be compensated by an easier marking scheme, paper 2 could be exact same.


    what makes you say theorum 10 wont come up?
    just wondering , dont want to study both in length


  • Registered Users, Registered Users 2 Posts: 7,962 ✭✭✭jumpguy


    what makes you say theorum 10 wont come up?
    just wondering , dont want to study both in length
    Definetly study both in lenght, I'm pretty confident one of them will come up. Even if they don't, you'll have to apply them. Sorry.

    That guy on http://www.examsupport.ie/articles/m...H_8_frame.html says 10 will come up (I'm not sure why, but he's a maths teacher).

    I think 9 is more likely because it was 2004 when it last came up, but 10 came up in only 2006. But again, don't take my word for it!


  • Registered Users, Registered Users 2 Posts: 90 ✭✭Dougal.Maguire


    yeah think ill study both , to be sure because i have a bit of a feeling itl be either of them , too. theorum 9 was on mocks...


  • Closed Accounts Posts: 6,298 ✭✭✭Namlub


    jumpguy wrote: »
    Theorem 10 is Pythagorus. :confused: I don't think so, I'd say theorem 9 (To prove that the sides of two equiangular triangles are in proportion) is more likely.

    In response to Roscobosco, Paper 1 could easily be compensated by an easier marking scheme, paper 2 could be exact same.

    It isn't?
    Also, in my revision book, one theorem comes with three deductions. Anyone know if we actually have to know these?


  • Closed Accounts Posts: 49 j'aime


    what do you do with that astc circle ??

    :D


  • Closed Accounts Posts: 89 ✭✭Mialuvzfun!


    OMg if pythagros cums up il leave d exam ;(


  • Registered Users, Registered Users 2 Posts: 24 swimminggurlX


    I hope equiangular dont come up! I really dont get them:confused:


  • Closed Accounts Posts: 49 j'aime


    thats the only one i've learned ! :D


  • Registered Users, Registered Users 2 Posts: 10,992 ✭✭✭✭partyatmygaff


    OMg if pythagros cums up il leave d exam ;(
    If you can learn off the other theorems how hard is it to learn off h2=o2+a2


  • Closed Accounts Posts: 89 ✭✭Mialuvzfun!


    If you can learn off the other theorems how hard is it to learn off h2=o2+a2
    Cuz i didnt learn d other ones i only no d easy ones nd pythagros is rly rely lng :confused::(


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  • Closed Accounts Posts: 81 ✭✭elaine93


    Can someone explain the pythagoras' theorem to me? I know how to apply it but no idea of why it works so I can't learn the theorem. :)


  • Closed Accounts Posts: 27 evansmiley


    Namlub wrote: »
    It isn't?
    Also, in my revision book, one theorem comes with three deductions. Anyone know if we actually have to know these?
    sometimes they come up as well. in one year(i forget which) they asked you to prove the theorem about the angle at the centre of a circle being twice the one at the circumference, and as a part two, they then asked for you to deduce that opposite angles in a cyclic quadrilateral add to 180 degrees


  • Registered Users, Registered Users 2 Posts: 10,992 ✭✭✭✭partyatmygaff


    evansmiley wrote: »
    sometimes they come up as well. in one year(i forget which) they asked you to prove the theorem about the angle at the centre of a circle being twice the one at the circumference, and as a part two, they then asked for you to deduce that opposite angles in a cyclic quadrilateral add to 180 degrees
    I can say you should only quickly glance over the deductions. They rarely come up and if they do attempt them and you will get 3/10 marks.
    Losing 7 marks is better than wasting hours trying to learn off those deductions when better spent actually studying paper 2.


  • Registered Users, Registered Users 2 Posts: 7,962 ✭✭✭jumpguy


    They've never asked the deductions before (I think)...increasing the likelihood they'll come up.
    Learn them anyway, they're really easy and are only a few lines long. I'd say they'll defo come up in application anyway.


  • Registered Users, Registered Users 2 Posts: 142 ✭✭chave


    elaine93 wrote: »
    Can someone explain the pythagoras' theorem to me? I know how to apply it but no idea of why it works so I can't learn the theorem. :)

    http://en.wikipedia.org/wiki/Pythagorean_theorem

    loads of proofs here some easy some hard


  • Registered Users, Registered Users 2 Posts: 7,962 ✭✭✭jumpguy


    j'aime wrote: »
    what do you do with that astc circle ??

    :D
    I think your talking about the unit circle? You only use it for angles greater than 90 Degrees.

    From 90 to 180 degrees the Sin value is positive (CAST). From 180 degrees to 270 Degrees the Tan Value is positive (CAST).

    From 270 degrees to 360/0 degrees Cosine is positive (CAST).

    From 0 to 90 degrees all are positive (CAST) (no need to use unit circle, this is normal calculations)

    The rest is abit difficult to explain in text...practice some questions on it. It doesn't often come up anyway.


  • Closed Accounts Posts: 33 jclol


    "If two triangles are equiangular then the ...." is GOING to come up 100%, weather it will be the proof of it or applying it to a C part it will happen.

    Phythagoras will also more than likely come up.

    One of the above i'm 100% certain.

    In question 1(Area and volume of shapes) look over the "time taken for x to flow into y" since its due this year in c part.

    Question 6 - make sure you know how to calculate X when they give you the mean, every year its that or else a pie chart for part a, 10 marks.


  • Closed Accounts Posts: 89 ✭✭Mialuvzfun!


    jclol wrote: »
    "If two triangles are equiangular then the ...." is GOING to come up 100%, weather it will be the proof of it or applying it to a C part it will happen.

    Phythagoras will also more than likely come up.

    One of the above i'm 100% certain.

    In question 1(Area and volume of shapes) look over the "time taken for x to flow into y" since its due this year in c part.

    Question 6 - make sure you know how to calculate X when they give you the mean, every year its that or else a pie chart for part a, 10 marks.
    Its gna b rly hard :( bu tnx 4 dat :)


  • Registered Users, Registered Users 2 Posts: 9,553 ✭✭✭soccymonster


    don't mind the equiangular triangle theorem one but that pythagoras' theorem one is just evil!:cool:


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  • Registered Users, Registered Users 2 Posts: 414 ✭✭Dicksboro_man


    The thing with the theorems is that u have to understand them. Its very hard to learn off something if u dont have a clue about it and you are just trying to learn the order of the words. In most cases you need a good maths teacher. I've a crap one (she is actually a chemistry teacher) but thank God i've a good maths brain and i understand everything myself :rolleyes:

    Best of luck to ye all tomorrow!!


  • Registered Users, Registered Users 2 Posts: 24 swimminggurlX


    Maths tommorow
    Guud luck everyone:D


  • Registered Users, Registered Users 2 Posts: 25 johnf1004


    johnf1004 wrote: »
    i heard off a guy who knows a guy who - (etc) said that the theorem is comin up that says if two triangles are equingular(?) the length of their corresponding sides are proportional....its that one where you put the small trinangle into the big triangle....

    wahey..told yez ha ha


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