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JC 2013 Maths Paper 2 - Mon. June 10th 2013 - OL and HL

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  • Registered Users Posts: 792 ✭✭✭Cr4pSnip3r


    Bluestrike wrote: »
    it means metres squared, since you cant actually do a squared sign, thats what people do

    I know that... >.>

    I mean where'd the number come from?


  • Registered Users Posts: 191 ✭✭Bluestrike


    flagstones are huge

    It said in the question the flagstones were 80 CENTIMETRES by 50 CENTIMETRES, therefore, 5 flagstones wouldnt cover and area of 13 metres by 13 metres / 169 metres squared
    If you think about it logically you will understand


  • Registered Users Posts: 575 ✭✭✭Lost In Confusion


    Bluestrike wrote: »
    It said in the question the flagstones were 80 CENTIMETRES by 50 CENTIMETRES, therefore, 5 flagstones wouldnt cover and area of 13 metres by 13 metres / 169 metres squared
    If you think about it logically you will understand

    i donno i got 24 but i was using the perimeter


  • Registered Users Posts: 191 ✭✭Bluestrike


    Cr4pSnip3r wrote: »
    I know that... >.>

    I mean where'd the number come from?

    that was the size of the inside square
    x^2 = 5^2 + 12^2
    x^2 = 25 + 144
    x^2 = 169
    x = square root of 169
    x = 13

    the square is 13 metres squared by 13 metres squared


  • Registered Users Posts: 620 ✭✭✭MomijiHime


    But since the last answer was in m you have to change 80cm and 50cm to 0.8 and 0.5 m so when you multiply them it's 1.6 m^2..?


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  • Registered Users Posts: 792 ✭✭✭Cr4pSnip3r


    Bluestrike wrote: »
    It said in the question the flagstones were 80 CENTIMETRES by 50 CENTIMETRES, therefore, 5 flagstones wouldnt cover and area of 13 metres by 13 metres / 169 metres squared
    If you think about it logically you will understand

    Right, 169m^2.

    80cm x 50cm = 4000cm^2. 4000/100 = 40m^2 per flagstone.

    169m^2/40m^2 = 4.225.

    He can't buy 4.225 flagstones, so he has to buy 5.


  • Registered Users Posts: 620 ✭✭✭MomijiHime


    Cr4pSnip3r wrote: »
    Right, 169m^2.

    80cm x 50cm = 4000cm^2. 4000/100 = 40m^2 per flagstone.

    169m^2/40m^2 = 4.225.

    He can't buy 4.225 flagstones, so he has to buy 5.

    You can't convert cm to m when it's squared. You have to do so beforehand


  • Registered Users Posts: 792 ✭✭✭Cr4pSnip3r


    MomijiHime wrote: »
    You can't convert cm to m when it's squared. You have to do so beforehand

    Hmm, then I'm likely wrong. Bluestrike probably has it right.


  • Registered Users Posts: 191 ✭✭Bluestrike


    Look at my answer, which I posted earlier. i converted cm to m before

    13 m/0.8 m = 16.25 (find how many fitted in length)
    13 m/0.5 m = 26 (find how many fitted width)
    16.25 x 26 = 422.5 (find area)
    422.5 x 20/100 = 84.5 (20% extra)
    422.5 + 84.5 = 507
    Therefore he needs 507 flagstones


  • Registered Users Posts: 157 ✭✭finisher489




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  • Registered Users Posts: 55 ✭✭Drift_King_33


    What did you guys get for the hemisphere and cones question?


  • Registered Users Posts: 22 ash182


    Nearly cried I was so happy with it. Really fell down with P1, think I brought my mark up considerably though ^__^


  • Registered Users Posts: 575 ✭✭✭Lost In Confusion


    im pissed off i thought it meant it was only covering the outside of the patio not the inside woops


  • Registered Users Posts: 120 ✭✭abcdefghijkl


    Does anyone know how many marks that flagstone question was?


  • Closed Accounts Posts: 618 ✭✭✭greenpyjamas


    Was shocked that I could do everything on the Paper, was unhappy with Q12 though. I felt I did much better in this one than Paper 1! Hoping for a B anyways :)


  • Banned (with Prison Access) Posts: 210 ✭✭zubikhan


    What was peoples answers for Q1 A,B and C
    Thanks


  • Registered Users Posts: 37 stephlumo


    i'm thrilled at how easy i found paper two! i was able to answer everything except i know i got a few questions wrong but sure attempt marks :D

    can anyone remember what they got for the very first question in OL?? :)


  • Registered Users Posts: 191 ✭✭Bluestrike


    What did you guys get for the hemisphere and cones question?

    I almost got that right, except i forgot to half my answer after i got sphere volume.
    i got 2304 Pi.
    it should have been 1152 Pi
    then, 1152 Pi - 64 Pi = 1088Pi (cone volume is taken out of hemisphere)
    1088 Pi /64Pi = 17 times (i got 35 but hopefully only lose some marks for blunder and usually they will accept your answer from first part)


  • Registered Users Posts: 157 ✭✭finisher489


    In the triangle ABC, |AB| = 2 and |BC| = 1.
    (a) Find |AC|, giving your answer in surd form.
    (b) Write cos BAC and hence find BAC .
    B
    AC
    (c) Sketch a right angled isosceles triangle in which the equal sides are 1 unit each and use it to write cos 45 in surd form.
    (d) Show that cos 75 ≠ cos 45 + cos 30.


    What did you get for this question? Anyone? I haven't done trig since Christmas because I just studied the theorems and hard constructions and took it for granted that I'd remember the basic rules or questions 6 months later


  • Registered Users Posts: 55 ✭✭Drift_King_33


    Bluestrike wrote: »
    I almost got that right, except i forgot to half my answer after i got sphere volume.
    i got 2304 Pi.
    it should have been 1152 Pi
    then, 1152 Pi - 64 Pi = 1088Pi (cone volume is taken out of hemisphere)
    1088 Pi /64Pi = 17 times (i got 35 but hopefully only lose some marks for blunder and usually they will accept your answer from first part)

    I did the same :o Will probably get high partial 8 marks :)


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  • Registered Users Posts: 575 ✭✭✭Lost In Confusion


    In the triangle ABC, |AB| = 2 and |BC| = 1.
    (a) Find |AC|, giving your answer in surd form.
    (b) Write cos BAC and hence find BAC .
    B
    AC
    (c) Sketch a right angled isosceles triangle in which the equal sides are 1 unit each and use it to write cos 45 in surd form.
    (d) Show that cos 75 ≠ cos 45 + cos 30.


    What did you get for this question? Anyone? I haven't done trig since Christmas because I just studied the theorems and hard constructions and took it for granted that I'd remember the basic rules or questions 6 months later

    theorem of phytagoras basically there...


  • Registered Users Posts: 157 ✭✭finisher489


    What did you get for this question?


  • Banned (with Prison Access) Posts: 210 ✭✭zubikhan


    Ok IMO I will do my full analysis of the paper
    Q1. A,B,C was easy enough to do but I did not get D. but nothing to complain here, just did not have the skills
    Q2. All parts were doable
    Q3. Ok here I had a problem, especially with (a) I just wrote random fraction numbers down, I did (b)and (c)
    Q4. Again doable
    Q5. I won't even comment on this GOBS**T, I wasted my last 20 minutes of the paper trying to go over and over again!!(but hopefully like they did with the 2012 and 2011 project maths paper, reduce the marks substantially, there was a question which was similar to this in 2012 and my teacher told me everyone answered it so bad that it was only 2 marks!!!
    Q6.Doable, had troubles with the last 2 but again, no complainings
    Q7. Doable
    Q8. Doable
    Q9. Took a lot of you but in the end I think I got it :)
    Q10.A,B,C doable apart from D(What the hell was that all about ??)
    Q11. Doable
    Q12. Quite disappointed as co-ordinate geometry is one of my strongest in maths, was going good until D and E, I could have gotten F easily if only I had gotten the corrects answers to D and E( I put something down, I think either for D or E it was - something and something....)
    Q13+14 Doable apart from the C, but here I have no complainings
    Q15. Again what the heck is this ??

    I really wanted a B but upon close inspection I would say I need atleast 200 marks in this paper to get 70 on the dot !!(I could be wrong as paper 1, I might have gotten some right which I believe are wrong, but oh well )


  • Registered Users Posts: 191 ✭✭Bluestrike


    In the triangle ABC, |AB| = 2 and |BC| = 1.
    (a) Find |AC|, giving your answer in surd form.
    (b) Write cos BAC and hence find BAC .
    B
    AC
    (c) Sketch a right angled isosceles triangle in which the equal sides are 1 unit each and use it to write cos 45 in surd form.
    (d) Show that cos 75 ≠ cos 45 + cos 30.


    What did you get for this question? Anyone? I haven't done trig since Christmas because I just studied the theorems and hard constructions and took it for granted that I'd remember the basic rules or questions 6 months later

    This is what i did, bear in mind this may not be right....

    (a) 2^2 = 1^2 + x^2
    4 = 1 +x^2
    4-1 = x^2
    3 = x^2
    Square root of 3 = x

    (b) Cos angle BAC = adjacent/hypotenuse
    Cos angle BAC =Square root of 3/2
    Cos-1 (function on calculator) (Square root of 3/2 = 30
    Cos BAC = 30 degrees

    (c) Draw triangle then
    Cos 45 = 1/x
    Cos 45 = Square root of 2/2
    1/x = Square root of 2/2 (cross multiply)
    Square root of 2 times x = 2
    Divide both sides by Square root of 2 to find x
    x = 2/Square root of 2 = Square root of 2 (do it on calculator)
    x = Square root of 2
    (I just realised I probably did too much but i had loads of time left so it doesnt matter)

    (d) Cos 75 = (Square root of 6 - Square root of 2)/4
    Cos 45 = Square root of 2/2
    Cos 30 = Square root of 3/2
    (square root of 6 - Square root of 2)/4 ≠ (Square root of 2/2) + (Square root of 3/2)


  • Registered Users Posts: 792 ✭✭✭Cr4pSnip3r


    Bluestrike wrote: »
    This is what i did, bear in mind this may not be right....

    (a) 2^2 = 1^2 + x^2
    4 = 1 +x^2
    4-1 = x^2
    3 = x^2
    Square root of 3 = x

    (b) Cos angle BAC = adjacent/hypotenuse
    Cos angle BAC =Square root of 3/2
    Cos-1 (function on calculator) (Square root of 3/2 = 30
    Cos BAC = 30 degrees

    (c) Draw triangle then
    Cos 45 = 1/x
    Cos 45 = Square root of 2/2
    1/x = Square root of 2/2 (cross multiply)
    Square root of 2 times x = 2
    Divide both sides by Square root of 2 to find x
    x = 2/Square root of 2 = Square root of 2 (do it on calculator)
    x = Square root of 2
    (I just realised I probably did too much but i had loads of time left so it doesnt matter)

    (d) Cos 75 = (Square root of 6 - Square root of 2)/4
    Cos 45 = Square root of 2/2
    Cos 30 = Square root of 3/2
    (square root of 6 - Square root of 2)/4 ≠ (Square root of 2/2) + (Square root of 3/2)

    I did the same as you.


  • Registered Users Posts: 76 ✭✭Leopard_Star


    now I wish I hadn't dropped down to OL maths...
    well on OL I didn't get Q6 or Q7b or Q9c does anyone know how to do those? i had the tables book but I forgot how to use the formulas -__-


  • Registered Users Posts: 193 ✭✭Jack_OLantern


    Bluestrike wrote: »
    I almost got that right, except i forgot to half my answer after i got sphere volume.
    i got 2304 Pi.
    it should have been 1152 Pi
    then, 1152 Pi - 64 Pi = 1088Pi (cone volume is taken out of hemisphere)
    1088 Pi /64Pi = 17 times (i got 35 but hopefully only lose some marks for blunder and usually they will accept your answer from first part)

    Damnit! Forgot about the cone! I got 18, how many marks will I lose?


  • Registered Users Posts: 193 ✭✭Jack_OLantern


    Feeling pretty confident about that test. Couple of things, firstly, what did you guys get as the ratios for the last question? I got 4:1 in both but I think that one of them should have been 8:1.

    Also, for that question about mobile phones, I got a decimel. My friends, who are really good at maths, got the same. But it would't make sense to have like .3 of a person! I forget my actual answer... It didn't look right anyways.

    I think I might just have scraped an A, but I'm happy with a B.


  • Registered Users Posts: 191 ✭✭Bluestrike


    Damnit! Forgot about the cone! I got 18, how many marks will I lose?

    Not alot, maybe you will get 8/10 marks?


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  • Banned (with Prison Access) Posts: 210 ✭✭zubikhan


    I got a decimal too, for both the male and female. I rounded them off to the nearest whole number, resulting in my percentage answer having no decimals in it, so I think it was correct to round them off.

    It was a disgrace of a question
    They should have told us to round off.
    I hope they give 8 marks in total for that question, the lower the better
    lol:mad::eek:


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