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Review Maths P2 Higher

  • 12-06-2006 11:45am
    #1
    Closed Accounts Posts: 1,031 ✭✭✭


    I thought it was a very tough paper with more trycky parts than usual.

    The circle was very easy apart from part c. Option 8 was grand apart from part c. Trig was quite difficult. didnt do vectors.

    Just scraped a c overall i hope


«134

Comments

  • Registered Users, Registered Users 2 Posts: 3,688 ✭✭✭grimloch


    I found it bloody hard alright. I had done okay in the first paper but I was even strugggling with some of the (b) parts in this one.

    It's possible that I'm skirting D grade territory in this exam.


  • Registered Users, Registered Users 2 Posts: 301 ✭✭MB44


    A very hard paper. I managed to get through all 8 questions but 6 and 7 were no hopers. Trig vas tough and circle part c i didnt like at all.


  • Registered Users, Registered Users 2 Posts: 612 ✭✭✭JoseJones


    Yep, very tough paper. Here's how I did:
    Q1: got it all out except (c). I would have got it only I used the centre from (b) by mistake. I'll probably lose 1 or 3 marks.

    Q2: very easy except (c). I think I might have stumbled through it and got the right answer.

    Q3: easy. couldn't remember how to do transformations, but I think I got it in the end.

    Q4: easy, got it all out.

    Q5: strange. Think I got most of (a). -90<k<90 for the range. think I got (b) aswell.

    Q6: (a), (b) easy, (c) nightmare.

    Q7: (a) easy, the rest was a disaster.

    Q8: simple.


  • Closed Accounts Posts: 63 ✭✭c m


    how did you do 4 c. impossible. how can you get the radius of the circle


  • Closed Accounts Posts: 306 ✭✭JCB


    Verdict: There goes the A1 and A2! Oh well!
    Q1: Grand except for part(c) Uggh!
    Q2: Got some strange answers for b. Part (c) DID NOT HAVE A CLUE
    Q3: Grand. Part b worked out in 3 lines!
    Q4: In part c I proved that it was 6 times not twice!
    Q5: Didn't touch it with a barge pole
    Q6: Fairly graqnd except for c(i) got something in the region of 0.0000000147
    Q7: Nightmare Question (b) and (c) especially
    Q8: Nasty part (c)
    Q9: Fairly class some parts of (b) were odd enough.

    Overall: meh!


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  • Registered Users, Registered Users 2 Posts: 950 ✭✭✭Feral Mutant


    c m wrote:
    how did you do 4 c. impossible. how can you get the radius of the circle
    You have to use the cosine rule to get the horizontal line (join the ends of the 2 k lines) then use it again to get r in the triangle of the horizontal line found above, two radii and the angle at the centre of the circle equal to 120.

    For 6ci, the probability that all the kids had the same birthday, did anyone get an answer of one over about seventy billion?


  • Closed Accounts Posts: 1,031 ✭✭✭whassupp2


    Q1: A and B were grand, couldnt do C but made good attempt.

    Q2: Didint do

    Q3: A and b were fine. Couldnt do Ci but Cii was easy.

    Q4: Did very bad in this question overall. just guessed answers and didnt even understand the question in part C

    Q5: Ai was fine (all in maths tables). the rest of A however was quite difficult and i dont remember seeing similar q's in past papers. B was very easy.

    Q6: Just guessed answers for part A. Difference equation was easy but Bii I couldnt do. Just guessed C again.

    Q7: A was easy, b was impossible and i was sure i knew how to do c and got right answer but it was different to the one given.

    Q8: McLaurin was fine. Part B was fine. Ratio tests were ok apart from getting values of x.




    OVERALL::( :mad: :( :mad: :( :mad: :eek: :confused::confused: :eek: :( :mad:


  • Registered Users, Registered Users 2 Posts: 2,736 ✭✭✭OctavarIan


    c m wrote:
    how did you do 4 c. impossible. how can you get the radius of the circle

    I can't explain it in writing, it's to do with perpendicluar lines from the center point of that dotted circle, then I use the Sine rule to get r in terms of k.


  • Closed Accounts Posts: 2,424 ✭✭✭fatal


    the paper wasnt too bad...except what was up with question 5(TRIG) having stuff about asymtopes in it???????
    overall though i think i did well


  • Closed Accounts Posts: 1,031 ✭✭✭whassupp2



    For 6ci, the probability that all the kids had the same birthday, did anyone get an answer of one over about seventy billion?

    I got 1/729000000


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  • Registered Users, Registered Users 2 Posts: 950 ✭✭✭Feral Mutant


    Sounds about right


  • Closed Accounts Posts: 22 ballyarse


    yeah i got 70 billion or something huge WHAT THE HELL WAS QUESTION 5 ABOUT i thought asmyptotes were only on paper one i'v never seen a question like that before so had to do two probability.....not good not good :(


  • Registered Users, Registered Users 2 Posts: 1,186 ✭✭✭Nichololas


    Q1. Pretty easy. C ii) I didnt get
    Q2. No clue for C, odd answers for B
    Q3. Awful for me, but then I'm bad at line geometry anyway
    Q6. Tricky parts, unsure how I did
    Q7. Difficult. Didn't get C
    Q9. A was trickier than usual. Didn't study Conditional Probability for b but half of it was pure logic and the rest I guessed well i think. C was easy-peasy. :D

    Think C/high C over all, which is all I was aiming for really. :)


  • Registered Users, Registered Users 2 Posts: 136 ✭✭HoboJesus


    This really irritated me. I studied for ages for this, specifically the weekend before, I studied a ridiculous amount, so I actually found it fairly easy without denying that there were some curveballs. In contrast paper 1 was actually fairly straightforward, but I studied SO much less for that. If I'd studied it as much as I did this I probably would've aced it. Oh well, here's how I took it:

    1) a/b simple, c)i I accidently did a really long method (found that the y value of the intersecting point was imaginary) then did it the shorter way aswell. ii ran out of set time and went to q2
    2)a/b simple again. c) scared me at first but got it pretty quickly. had forgotten what the circumcentre was :p
    3)all simple, learned the angle formula last night thank god
    4)a simple, b took a bit, but got it, c: thought I got it right then the second part proved my answer wrong... wait, just relooked at it, might be right. huh.
    5)skipped at first out of "what the **** are they doing"ness, but handled it ok when I came back, ran out of time for a but b was a joke.
    8)a/b worked out nicely. c I'm quite sure I got right, but my answers weren't reassuring

    overall: I'm thinking low A or high B. doubtful of an A1 unless they marked it in my favour. With paper one (GRRR), probable B overall, just what I need :p.


  • Registered Users, Registered Users 2 Posts: 950 ✭✭✭Feral Mutant


    ballyarse wrote:
    WHAT THE HELL WAS QUESTION 5 ABOUT i thought asmyptotes were only on paper one i'v never seen a question like that before so had to do two probability.....not good not good :(
    The asymptotes were at y=90 degrees and y=-90 degrees cause Tan of those is infinite.


  • Closed Accounts Posts: 1,203 ✭✭✭Attractive Nun


    Pretty tough paper yeah, no real complaints though.

    Q1: Not bad. I got everything except (c)(ii), at which I made a pretty stupid attempt.
    Q2: Stupid vectors, was counting on this. (a) and (b) were lovely but my attempt at (c) was going nowhere.
    Q3: Didn't do.
    Q4: My part (b) was a bit iffy, annoyingly, but other than that I got everthing out.
    Q5: Likewise, part (a) iffy, but other than that alright. Shouldn't lose more than a few marks.
    Q6: ****ing (b)(ii) didn't work out, otherwise grand.
    Q7: Going nowhere with part (c)
    Q8: Grand.

    So that's 4 with full or close-to-full marks, and 2 without part (c)'s. Ack, decent enough I suppose. But certainly not A1 material, which was my aim. Balls to it anyway.


  • Closed Accounts Posts: 8,880 ✭✭✭Raphael


    c m wrote:
    how did you do 4 c. impossible. how can you get the radius of the circle
    If you join the 2 ends of the curve you have an equilateral triangle. So that line is k. then join from the ends of that to the centre, it'll be 120 degrees. Apply sine rule.


  • Closed Accounts Posts: 194 ✭✭Dave Larkin


    The general consensus in my school was that it was an extremely difficult paper. I don't even want to look back over it myself. Give it a few weeks, lol. Hopefully French and Biology tomorrow will be better.


  • Closed Accounts Posts: 1,031 ✭✭✭whassupp2


    same her. very tough paper. I've a feeling that ther'll be controversy over q5a


  • Registered Users, Registered Users 2 Posts: 3,688 ✭✭✭grimloch


    whassupp2 wrote:
    same her. very tough paper. I've a feeling that ther'll be controversy over q5a

    Hasn't been asked since the aul days of '94. It didn't look too hard but I didn't get around to doing it due to some poor question choosing early on.


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  • Registered Users, Registered Users 2 Posts: 950 ✭✭✭Feral Mutant


    The one last year was bad too though. My maths teacher was going on all year about how last year the papers published some thing saying the maths papers were getting dumbed down and that year got a really bad paper. A few weeks ago he tells us "They've done it again. There was a story in the paper saying the exam is being dumbed down". the general feelings of the class were "Oh Crap" and now everyone seems to feel this year was bad.


  • Closed Accounts Posts: 119 ✭✭captainzapp


    what the hell was up with the graph?!?! i did part a and when i saw draw a graph and something about asymptotes i said screw it. i havent done graphs since 3rd year. that was a very strange question. did probability instead and i hate that because you either get it all right or all wrong and you can never tell which... didnt like 8, (c) at all and no integration by parts SUCKED! i knew this was gonna be tough after paper one being easy enough.


  • Registered Users, Registered Users 2 Posts: 2,736 ✭✭✭OctavarIan


    Integratio by parts didn't come up. I thought that was a cert?


  • Closed Accounts Posts: 22 Shark-69


    Overall im happy with the paper.Was delighted with Q8....relatively easy.Did Q1,2,3,4 in that order,shocked by Q5 i then did Q8 and then spent the rest of the exam doin Q5 and looking over the paper.......I found it way easier than paper1....My average has gone from a B1 in paper 1 to a probable A2...hopefully an A1...Of all the part a's and b's I did they were pretty simple........


  • Registered Users, Registered Users 2 Posts: 96 ✭✭anna.fun


    For 6ci, the probability that all the kids had the same birthday, did anyone get an answer of one over about seventy billion?


    I got that... hope it's right.... thought it was a tough paper...
    1. was grand... got part (c) worked out ten minutes before the end
    2. was easy... I love the vector question
    3. was easy
    4. a+b were not to bad... however, struggled with part c and didn't get it at all...
    5. (a) was an disaster and b was easy...
    6. was easy as usual and 8. wasn't to bad

    I was a little bit disappointed that only one proof came up.. it would have been so easy and gained u some easy marks... :confused:


  • Closed Accounts Posts: 8,880 ✭✭✭Raphael


    Pretty sure the focus of that paper was on rewarding an understanding of the maths course rather than just having stuff learned, so having lots of proofs would ahve gone against that.


  • Closed Accounts Posts: 41 sariane


    God i was getting some crazy answers for those probability questions! Couldn't do 1.(c)(ii) or 2.(c)!! Really thought maths was going to be an easy A1 for me but looking at both papers together i'm hoping for a B3 or B2!! Really annoyed about that! :(:(


  • Closed Accounts Posts: 1,031 ✭✭✭whassupp2


    ya i got some strange answers too


  • Registered Users, Registered Users 2 Posts: 41 DiscoMouse


    What do you think you'd get for giving the answer in 5 C (i), (and it was right, as i deduced it from (ii)), but no workings?

    Overall, shocking paper, broke my spirits with a sick little snap, and I've no heart for biology now. :(


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  • Closed Accounts Posts: 411 ✭✭Faerie


    DiscoMouse wrote:
    What do you think you'd get for giving the answer in 5 C (i), (and it was right, as i deduced it from (ii)), but no workings?

    Overall, shocking paper, broke my spirits with a sick little snap, and I've no heart for biology now. :(

    Do you mean 4c1? There was no 5c!
    I did that too sort of! I did part 2 first and then when I got r=k/square root of 3, I went back to 1 and figured out a way of getting that answer by making a triangle and 3 radii or something like that anyway!


  • Registered Users, Registered Users 2 Posts: 41 DiscoMouse


    Ah, yeah, I meant 4. GOD, I CAN'T DO ANYTHING RIGHT! GAH!!

    And yeah, I did what you did, minus the clever part where you worked out the first question using it.


  • Closed Accounts Posts: 12 ladyspud


    meh don't really know how i got on weird.... it was hard but i was happy enuf i think!! I hope :rolleyes:


  • Closed Accounts Posts: 195 ✭✭Gambra


    ok, it went a lot better for me than Paper I (which I do believe I failed)

    Q1 + 2 : Ignored both, simply could not get the circle question to work
    Q 3: Forgot my proofs in (c) :(
    Q 4: couldn't get (b)(ii), again forgot how to do it
    Q 5: Found simple, got the graph, the asymptotes, and I guessed the (iv) part! But got it right!! Easiest question I've ever done
    Q 6: Got everything but veryfying the second difference equation
    Q 7:(c) in this was absolute ****. I'd no idea what was going on. Seemed yoiu had to apply a sequence formula to is :(

    I'd say a C overall, just hope it'll rescue my Paper I from the fail..


  • Closed Accounts Posts: 172 ✭✭Zoodlebop


    I got the right answer by saying that and equilateral triangle in a circle has sides which bisect the radius, then pythang. to find half the radius and the ans. by 2 to find radius. It worked in the next question too. D'ye think that is logically ok?


  • Closed Accounts Posts: 41 sariane


    Q 7c) in this was absolute ****. I'd no idea what was going on. Seemed yoiu had to apply a sequence formula to it

    I know i couldn't do it!! i got like root (n squared over 3)???? how was it done??


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  • Closed Accounts Posts: 172 ✭✭Zoodlebop


    Also , did anyone find 4 (b) a bit odd, i didn't get it till 1 min before the end, in a mad rush. Was the answer30 and 240 degrees, or something close?


  • Closed Accounts Posts: 172 ✭✭Zoodlebop


    I think Raphael is right, it was meant to weed out people who had learned methods, as supposed to understanding the material. People like me ;)


  • Closed Accounts Posts: 67 ✭✭joxer05


    I just want to check what other people got. I got:

    1.(a) (x-1)sqrd+(y+1)sqrd=8
    (b)(ii) p=0, p=-12/35
    (c)(i)I substituted in x into S and found bsqrd-4ac less than 0, implies no real roots, implies K doesnt intersect S
    (c)(ii) (2,1)

    2.(a) 3i-j
    (b)(i) pq= 6i-8j, pr=4i+3j
    (ii) s= 7i-j
    (iii) Angle=45 degrees
    (c) got as far as dot product= length b sqrd - length of c sqrd. did you have to say that length b = length c, implies dot product= 0?

    3.(b) q(8,0) , r(0,-12)
    (c)(ii) Angle=54 degrees

    4.(a) A= 60 or 300 degrees
    (b)(i) 2Cos(2x+30)Sin(x+30)
    (ii) x E (30, 120, 150, 330)
    (c)(i) r=k/root3
    (ii) Area Circle= Pi K sqrd/3, Area Sector= Pi k sqrd/6

    5.(a) WTF!!:confused:
    (iv) wrote nothing
    (b)(i) 272m
    (ii) 110,000m sqrd

    8.(b)(i) a(0,2-4m) , b(4-2/m,0)
    (ii) no time
    (c)(i) -1/3 less than x less than 1/3
    (ii) r= 1/4, no time to finish :mad:


  • Registered Users, Registered Users 2 Posts: 3,036 ✭✭✭Shelga


    I'm not too happy with paper 2. After paper 1 I was happy and hoped that Paper 2 would go the same way. After I saw Q5 I was completely thrown, but I had to do it because I have no clue about probability. Since when do they put graphs and asymptotes and all that jazz in a trig question???

    Really really wanted an A, doesn't look too likely now. Ah well, I'm still happy enough.


  • Closed Accounts Posts: 41 sariane


    could someone run through the answers they got for 6 and 7 and how they did 7c??? i can't do it!!!


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  • Closed Accounts Posts: 1,031 ✭✭✭whassupp2


    6ai- 165
    6aii- dunno
    6bi- Un= 3(1)/\n + 5(1/6)/\n
    6ci- 1/729000000
    6cii- 1/2.13

    7a- 120
    7aii- 30
    7bi- 324632
    7bii- couldnt do
    7biii- couldnt do
    7biv- couldnt do

    Got different answer fo 7c.
    i got root 2n/\2 over 3

    There the answers i got. dunno if they're right. some of them sound very strange


  • Closed Accounts Posts: 411 ✭✭Faerie


    joxer05 wrote:
    I just want to check what other people got. I got:

    1.(a) (x-1)sqrd+(y+1)sqrd=8
    (b)(ii) p=0, p=-12/35
    (c)(i)I substituted in x into S and found bsqrd-4ac less than 0, implies no real roots, implies K doesnt intersect S
    (c)(ii) (2,1)

    2.(a) 3i-j
    (b)(i) pq= 6i-8j, pr=4i+3j
    (ii) s= 7i-j
    (iii) Angle=45 degrees
    (c) got as far as dot product= length b sqrd - length of c sqrd. did you have to say that length b = length c, implies dot product= 0?

    3.(b) q(8,0) , r(0,-12)
    (c)(ii) Angle=54 degrees

    4.(a) A= 60 or 300 degrees
    (b)(i) 2Cos(2x+30)Sin(x+30)
    (ii) x E (30, 120, 150, 330)
    (c)(i) r=k/root3
    (ii) Area Circle= Pi K sqrd/3, Area Sector= Pi k sqrd/6

    5.(a) WTF!!:confused:
    (iv) wrote nothing
    (b)(i) 272m
    (ii) 110,000m sqrd

    8.(b)(i) a(0,2-4m) , b(4-2/m,0)
    (ii) no time
    (c)(i) -1/3 less than x less than 1/3
    (ii) r= 1/4, no time to finish :mad:


    I got pretty much the same answers as you!
    Except for part 1 if vectors, I have i-3j written on my exam paper....I just hope I wrote it correctly in my exam!! It would be such a stupid mistake to lose marks for!


  • Registered Users, Registered Users 2 Posts: 1,186 ✭✭✭Nichololas


    whassupp2 wrote:
    6ai- 165
    6aii- dunno
    6bi- Un= 3(1)/\n + 5(1/6)/\n
    6ci- 1/729000000
    6cii- 1/2.13

    Can you explain how you got 1/729000000 (or (1/30) to the 6)?

    I got (1/30) to the 5, reasoning being;

    1 (the first day) x 1/30 x 1/30 x 1/30 x 1/30 x 1/30 x 1/30 (probability of each subsequent birthday being on the same day) x 30 (for each day of the month)

    Seems right to me but it's niggling me since people got 1/729000000. If i'm wrong I think it's the x30 for each day of the month, although I seem to remember an example where you did the same thing. :confused::confused::confused::confused:


  • Registered Users, Registered Users 2 Posts: 1,186 ✭✭✭Nichololas


    Double post - should pay attention. :(


  • Closed Accounts Posts: 1,203 ✭✭✭Attractive Nun


    joxer05 wrote:
    I just want to check what other people got. I got:

    1.(a) (x-1)sqrd+(y+1)sqrd=8 same as me, iirc
    (b)(ii) p=0, p=-12/35 same as me, iirc
    (c)(i)I substituted in x into S and found bsqrd-4ac less than 0, implies no real roots, implies K doesnt intersect S same as me, iirc
    (c)(ii) (2,1) couldn't figure out

    2.(a) 3i-j same as me, iirc
    (b)(i) pq= 6i-8j, pr=4i+3j same as me, iirc
    (ii) s= 7i-j same as me, iirc
    (iii) Angle=45 degrees same as me, iirc
    (c) got as far as dot product= length b sqrd - length of c sqrd. did you have to say that length b = length c, implies dot product= 0? I think I actually got that far, didn't realise b=c...hmm

    3.(b) q(8,0) , r(0,-12) didn't do Q3
    (c)(ii) Angle=54 degrees

    4.(a) A= 60 or 300 degrees same as me, iirc
    (b)(i) 2Cos(2x+30)Sin(x+30) same as me, iirc
    (ii) x E (30, 120, 150, 330) ****ed this up
    (c)(i) r=k/root3 same as me, iirc
    (ii) Area Circle= Pi K sqrd/3, Area Sector= Pi k sqrd/6 same as me, iirc

    5.(a) WTF!!:confused:Aye, me too. Think I got (i) and (ii) though
    (iv) wrote nothing I wrote something clearly incorrect
    (b)(i) 272m same as me, iirc
    (ii) 110,000m sqrd can't remember really, but maybe

    8.(b)(i) a(0,2-4m) , b(4-2/m,0) same as me, iirc
    (ii) no time I think I got m=1/2
    (c)(i) -1/3 less than x less than 1/3 same as me, iirc
    (ii) r= 1/4, no time to finish :mad:yeah I got that and finished it off as for part (i)

    That's me.


  • Closed Accounts Posts: 173 ✭✭DonaldDuck


    joxer05 wrote:
    I just want to check what other people got. I got:

    1.(a) (x-1)sqrd+(y+1)sqrd=8
    (b)(ii) p=0, p=-12/35
    (c)(i)I substituted in x into S and found bsqrd-4ac less than 0, implies no real roots, implies K doesnt intersect S
    (c)(ii) (2,1)

    2.(a) 3i-j
    (b)(i) pq= 6i-8j, pr=4i+3j
    (ii) s= 7i-j
    (iii) Angle=45 degrees
    (c) got as far as dot product= length b sqrd - length of c sqrd. did you have to say that length b = length c, implies dot product= 0?

    3.(b) q(8,0) , r(0,-12)
    (c)(ii) Angle=54 degrees

    4.(a) A= 60 or 300 degrees
    (b)(i) 2Cos(2x+30)Sin(x+30)
    (ii) x E (30, 120, 150, 330)
    (c)(i) r=k/root3
    (ii) Area Circle= Pi K sqrd/3, Area Sector= Pi k sqrd/6

    5.(a) WTF!!:confused:
    (iv) wrote nothing
    (b)(i) 272m
    (ii) 110,000m sqrd

    8.(b)(i) a(0,2-4m) , b(4-2/m,0)
    (ii) no time
    (c)(i) -1/3 less than x less than 1/3
    (ii) r= 1/4, no time to finish :mad:


    For the vectors part C

    I just took "ah" as "h-a" which was "a+b+c-a"
    And bc as "c-b"

    giving me (b+c)(c-b)
    Bc-cb
    =0


  • Closed Accounts Posts: 719 ✭✭✭CrimE


    DonaldDuck wrote:
    For the vectors part C

    I just took "ah" as "h-a" which was "a+b+c-a"
    And bc as "c-b"

    giving me (b+c)(c-b)
    Bc-cb
    =0

    Yeah same here, hadn't a clue when I looked at it first. I'm pretty sure that proves it but I can't understand why they would say it was the orthocentre when it isn't needed to prove the question...:confused:


  • Closed Accounts Posts: 173 ✭✭DonaldDuck


    CrimE wrote:
    Yeah same here, hadn't a clue when I looked at it first. I'm pretty sure that proves it but I can't understand why they would say it was the orthocentre when it isn't needed to prove the question...:confused:
    Probably suppose to do it a more difficult way :)

    For 3(b) I just took "2 to 0" =2 units,ratio = 3:! therefor 2+6= 8 giving me
    (8,0) for first point,then "0 to -9" = -0 units,therefore -9-3=(0,-12) Im prtty sure it wasnt meant to be done that way


  • Closed Accounts Posts: 1,203 ✭✭✭Attractive Nun


    DonaldDuck wrote:
    For the vectors part C

    I just took "ah" as "h-a" which was "a+b+c-a"
    And bc as "c-b"

    giving me (b+c)(c-b)
    Bc-cb
    =0

    Hmm, I got that but didn't realise it solved the question. But wouldn't bc-cb = bc+bc = 2bc /= 0? If not, then D'Oh!

    EDIT: Oh I see.


  • Closed Accounts Posts: 212 ✭✭sully-gormo


    Enlil_Nick wrote:
    Can you explain how you got 1/729000000 (or (1/30) to the 6)?

    I got (1/30) to the 5, reasoning being;

    1 (the first day) x 1/30 x 1/30 x 1/30 x 1/30 x 1/30 x 1/30 (probability of each subsequent birthday being on the same day) x 30 (for each day of the month)

    Seems right to me but it's niggling me since people got 1/729000000. If i'm wrong I think it's the x30 for each day of the month, although I seem to remember an example where you did the same thing. :confused::confused::confused::confused:
    That paper was so tough.
    For 6(c) would it be (1/30) to the power of 6 but then multiplied by 30!
    (wish i thought of that in the exam)
    What did anyone write for 5a(iv) the one about invTan(tank)=k


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