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2010
Thu
11
Nov

GCE ‘A’ Level 2010 Oct/Nov H2 Maths 9740 Paper 1 Suggested Answers & Solutions

(81)
Tuition given in the topic of H1/H2 (A Level) Maths Tutor from the desk of The Higher Council at 5:26 pm (Singapore time)

Hello again guys,

I’ve heard your little chorus of comments even as I was having my classes this afternoon.

So with whatever time I have at my disposal today, I’ve managed to squeeze this out (with a little help from my sister):

2010 A-Level October/November H2 Mathematics 9740 Paper 1 Suggested Solutions

2010 ‘A’ Level October/November H2 Mathematics 9740 Paper 1 Suggested Solutions
– click to download (Latest Version: 1.1)

As usual please let me know via the comments should you spot any mistake in the H2 Maths Paper 1 solutions.

Meanwhile, here’s a list of topics which you might find it worthwhile to go through again before your Paper 2 tomorrow.

  • Integration (by parts, by substitution, volume of revolution etc.)
  • Summation
  • Mathematical Induction
  • Arithmetic & Geometric Progressions (AP/GP)
  • Complex Numbers: Solving complex roots via simultaneous equations or de Moivre’s Theorem
  • Composite Functions
  • Statistics (this one no need to say)

All the best for your Paper 2!

頑張って!!!

Revision Exercise

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Comments & Reactions

77 Comments

  1. unicorn's Avatar
    unicorn commented in tuition class


    2010
    Nov
    11
    Thu
    7:32pm
     
    1

    OMG MRLOI I DONT DARE TO LOOK NOW *hides* thanks for posting tho 😀

  2. :D's Avatar
    :D commented in tuition class


    2010
    Nov
    11
    Thu
    7:43pm
     
    2

    Hi, may I ask, what's the estimated minimum marks that we should obtain for such a paper, if we want to secure an A? :X

  3. digi's Avatar
    digi commented in tuition class


    2010
    Nov
    11
    Thu
    7:58pm
     
    3

    Hi, may I ask if we wrote the f(x) equation for question 5 wrongly, does it mean the whole question is wrongly and all the marks are lost?

  4. lolatyou's Avatar
    lolatyou commented in tuition class


    2010
    Nov
    11
    Thu
    8:20pm
  5. james's Avatar
    james commented in tuition class


    2010
    Nov
    11
    Thu
    8:33pm
     
    5

    Could you please post the H1 math paper? Thanks(:

  6. kris's Avatar
    kris commented in tuition class


    2010
    Nov
    11
    Thu
    10:06pm
     
    6

    just wanna say thanks so much for your dedication as a tutor.

  7. emma's Avatar
    emma commented in tuition class


    2010
    Nov
    11
    Thu
    10:29pm
     
    7

    hi mr loi! thanks so much for posting (:

    anyway, for qn 9, what happens if I minus the surface area of the cover (i.e. - 2kxy - 6x^2 ) instead of adding it? My method should be correct though, because I obtained the negative version of all the answers. How many marks do you think I can get (as method marks)?

    In addition, do you know the likely mark threshold for an A grade in this paper?

  8. brian's Avatar
    brian  commented in tuition class


    2010
    Nov
    12
    Fri
    11:40am
     
    8

    Lol answers got imperfections. If Cambridge wants to discriminate, this answer cannot get 100. Cubic curve label (2,-6) but gradient at that point supposed to be 0. Also, for qn 11 area of triangle OAB, in the working, 0.5 (p sqrt8) (1/p sqrt8) is wrong, because p can be negative. Supposed to be 0.5 (absolute value of p times sqrt8) (1/(absolute value of p) times sqrt8). Because the sqaure root of p^2 is the absolute value of p, but just p itself ><
    The first one not so serious. But the second one may lose a mark for working...?

    From brian's blog: …And this is goodbyeMy Profile



    • 2010
      Nov
      12
      Fri
      1:56pm
       
      8.1

      @brian: Haha oops sorry for that sketch in Q5 which I admit could be improved 😛 In any case, I've updated the solutions with a better 'high-tech' sketch 😉

      Regarding that line of working in Q11(ii), the key purpose of the question is to show that the area is independent of p.

      As the squared ps will confirm lead to positive values of OA and OB, coupled with the fact that the ps will still cancel out each other (without affecting the final outcome) regardless of whether it's positive or negative, so I'm inclined to leave it as it is, unless there's a further chorus of protest on this (???)

      Anyone?



      • 2010
        Nov
        13
        Sat
        10:31am
         

        @Mr Loi: yupp. It will cancel cause negative value divide by negative value will still be 1. I'm saying that if you write length of OA as 2psqrt2, it is not correct, cause a length cannot be negative. It's just mathematically not rigorous; just that it happens that cause the qn wants to prove independence, the two cancels and nothing goes wrong at the end of the day. But just cause it cancels out and still gives the correct ans doesnt mean the middle working is correct. Many times in H2 maths differentiation, there's sqrt (x^2) and must put (absolute value of x). but this time it wont change the ans. squaring makes it positive, which is why when you take the square root, you need to put the absolute sign because the square and square root process ensures that p becomes the positive value.

        It depends on how picky Cambridge is. 🙂

        From brian's blog: Exam MattersMy Profile

  9. Otto's Avatar
    Otto commented in tuition class


    2010
    Nov
    12
    Fri
    12:58pm
     
    9

    Thanks Mr Loi. 🙂

    Here, I have simpler methods for a few of the questions, purely for your reference. Do let me know if any of them is wrong, thanks!

    Q1ii
    (a+b).(a-b)
    = a.a - b.b
    = |a|^2 - |b|^2
    = 0 (since |a|=|b|)

    Q3i
    Un
    = Sn - Sn-1
    = n(2n+c) - (n-1)(2n-2+c)
    = ...
    = 4n+c-2

    Q3ii
    Un+1
    = 4(n+1)+c-2
    = 4n+c-2+4
    = Un+4

    Q11iii
    x^2 = (t+1/t)^2 = t^2+2-1/t^2
    y^2 = (t-1/t)^2 = t^2-2-1/t^2 = x^2-4

  10. tim's Avatar
    tim commented in tuition class


    2010
    Nov
    12
    Fri
    3:19pm
     
    10

    can u upload the h2 maths paper 2 too!? thank you....

  11. Wee keat's Avatar
    Wee keat commented in tuition class


    2010
    Nov
    12
    Fri
    3:40pm
  12. Daniel's Avatar
    Daniel commented in tuition class


    2010
    Nov
    12
    Fri
    3:44pm
     
    12

    Wah lao! Is it okay if I just write my name on the yellow cover page :-s

  13. banana's Avatar
    banana commented in tuition class


    2010
    Nov
    12
    Fri
    4:08pm
     
    13

    Please upload paper 2 answers too! Thanks a lot for being so efficient and dedicated. 🙂

  14. Lithilara's Avatar
    Lithilara commented in tuition class


    2010
    Nov
    12
    Fri
    5:23pm
     
    14

    Hey, for question 11, are we able to do it by the vectors method? (1/2)|a x b| where a is coordinates of the first point, with k = 0, and likewise for b?

    Also, please upload paper 2 answers too! Thanks! 😀

  15. candice's Avatar
    candice commented in tuition class


    2010
    Nov
    12
    Fri
    5:41pm
  16. hello's Avatar
    hello commented in tuition class


    2010
    Nov
    12
    Fri
    5:57pm
     
    16

    Heyhey thanks for uploading the paper 1 solutions. Can you upload the paper 2 solutions as well? HAHA many people are asking. Guess you should be working out the solutions using technology HAHA and what would be a safe mark for an A for this year's paper? Seems easier than last year's. Thanks!

  17. Nick's Avatar
    Nick commented in tuition class


    2010
    Nov
    12
    Fri
    6:45pm
     
    17

    Hi is it possible for you to post the H1 math paper solutions please? Would appreciate it ALOT!

  18. Anonymous's Avatar
    Anonymous commented in tuition class


    2010
    Nov
    12
    Fri
    6:50pm
     
    18

    Erm.... 90% abv A, 80% abv B, 70% abv C?
    Generally cant tell, but most seem to be getting 80 n abv i think? But my math teacher seys that 50% of Sporean get A fer maths.. So well its hard imagining 50% of SG getting 80% n abv.... Scary...

  19. alex's Avatar
    alex commented in tuition class


    2010
    Nov
    12
    Fri
    7:53pm
     
    19

    hello may i know is it ok if i dont state the axial intercepts or equations of assymptotes separately but i mention them in the graph?

  20. m's Avatar
    m commented in tuition class


    2010
    Nov
    12
    Fri
    8:37pm
  21. hi's Avatar
    hi commented in tuition class


    2010
    Nov
    12
    Fri
    8:44pm
  22. arjun's Avatar
    arjun commented in tuition class


    2010
    Nov
    12
    Fri
    9:08pm
     
    22

    love u for uploading paper 1...please do the same for paper 2 hahaha

  23. meyeyumi's Avatar
    meyeyumi commented in tuition class


    2010
    Nov
    12
    Fri
    9:11pm
     
    23

    thx
    sigh prepared not to get A already =( i onli eighty plus for this paper. few friends got almost hundred. bell curve will be push up. plus paper two i veri careless. paper2 ans plz ?=)

  24. thecarz's Avatar
    thecarz commented in tuition class


    2010
    Nov
    12
    Fri
    9:26pm
     
    24

    yo. think i have simpler method for Q11.
    x = t + 1/t
    y = t - 1/t
    x + y = 2t
    x - y = 2/t
    t = (x+y)/2
    x - y = 4/(x+y)
    x^2 - y^2 = 4
    there you go haha. tnks
    btw mr loi, you rawk for putting up the ans so fast!
    nice job!

  25. Anonymous's Avatar
    Anonymous commented in tuition class


    2010
    Nov
    12
    Fri
    9:45pm
     
    25

    Hmmmm, at this point of time.. it seems -10 from paper 2 seems screwed up alrdy (cus of moderation n all) T_T

  26. orangejuice's Avatar
    orangejuice commented in tuition class


    2010
    Nov
    12
    Fri
    9:46pm
     
    26

    hi. can you please upload paper 2 solutions?cant stop thinking abt it!
    THANKS!!!
    and,seriously,90 for As? dun lame la.

  27. guy's Avatar
    guy commented in tuition class


    2010
    Nov
    12
    Fri
    9:58pm
  28. guy's Avatar
    guy commented in tuition class


    2010
    Nov
    12
    Fri
    10:00pm
  29. Anonymous's Avatar
    Anonymous commented in tuition class


    2010
    Nov
    12
    Fri
    10:02pm
     
    29

    I think most likely 80+ n abv, I mean even if Cambridge moderate the paper they cant expect 90+ to be A... Most likely National Avg for A sky-rockets 😀 Either that or SG gonna face serious grade-inflations ==

  30. ohno's Avatar
    ohno commented in tuition class


    2010
    Nov
    12
    Fri
    10:08pm
     
    30

    PLEASEEEEEEEEEEEEEEE post up the answers for H1 maths paper? why so biased? haha!

  31. suphomies's Avatar
    suphomies commented in tuition class


    2010
    Nov
    12
    Fri
    10:23pm
     
    31

    i think people are making overbearing assumptions on what the A grade is based on their own perceptions of the paper and the small groups of people around them. I do not think that the minimum mark for A would be 80 or even worse, 90. It has been said that ~50% of S'poreans get A for math. Do you really expect half the JC population to get 80 and above? My personal opinion is that the A grade will always remain at ~70+ and will be moderated down if the paper is too tough. Even for this year, where the paper was 'considerably easy', it will remain at 70+, i mean just forget this 'bell curve' that people love to make reference to but know nothing much about, do you think that a person who gets 70+ does not deserve an A?

  32. lalala's Avatar
    lalala commented in tuition class


    2010
    Nov
    12
    Fri
    10:33pm
     
    32

    last year's A was 80, but it was a significantly more difficult paper than this year's ridiculously elementary paper, if you're careless, that's it.

  33. K's Avatar
    K commented in tuition class


    2010
    Nov
    12
    Fri
    10:38pm
     
    33

    If I scored 63 for p1, 76 for paper 2 thereabouts, is there a possibility of A? And I dont think they'll raise the bar for A so high hor, at most 75.

  34. Shermz's Avatar
    Shermz commented in tuition class


    2010
    Nov
    12
    Fri
    11:06pm
     
    34

    Don't think they will raise the bar so high also, maybe around 75 to 80? From the % of As in schools, its hard to think that there are so many students achieving like such high scores after careless mistakes etc...

  35. celine's Avatar
    celine commented in tuition class


    2010
    Nov
    12
    Fri
    11:07pm
     
    35

    is the total number of As fixed? or is there a chance that they will increase the As if the whole cohort performed well.

  36. Shermz's Avatar
    Shermz commented in tuition class


    2010
    Nov
    12
    Fri
    11:32pm
     
    36

    I think it will be likely that % As increase rather than decrease... look at pw haha

  37. Tak's Avatar
    Tak commented in tuition class


    2010
    Nov
    12
    Fri
    11:53pm
     
    37

    Hey ma'am, are you going to post the paper 2 answers? Please do!

  38. Shermz's Avatar
    Shermz commented in tuition class


    2010
    Nov
    13
    Sat
    3:49am
     
    38

    Oh yes. by the way will there be method marks? Lets say part(i) wrong but (ii) method 100% correct only answer wrong...

    So will I get the full marks for part (ii) still?

  39. Mr Loi's Avatar
    Mr Loi Friend Mr Loi on Facebook commented in tuition class


    2010
    Nov
    13
    Sat
    4:44am
     
    39

    Alright everyone, break your camps and move over here 😀

    I'll try to catch up with some of the comments here once I get the time to do so. Meanwhile sweet dreams everyone ... zzzzz ....

  40. Daniel's Avatar
    Daniel commented in tuition class


    2010
    Nov
    13
    Sat
    9:26am
     
    40

    For Q2 i) Paper 1: Is it possible for me to use McLaurin to expand 1+sin2x instead using MF15?

  41. Anon's Avatar
    Anon commented in tuition class


    2010
    Nov
    13
    Sat
    9:48am
  42. kim's Avatar
    kim commented in tuition class


    2010
    Nov
    13
    Sat
    7:51pm
     
    42

    please tell me 80 plus minus two is enough to get an A.... anyway not to discriminate but not every jc is like ri or hci

  43. thecarz's Avatar
    thecarz commented in tuition class


    2010
    Nov
    13
    Sat
    8:15pm
     
    43

    hey just to make sure.
    wad happens if i get 4 coordinates for qn4(ii) by subbing it into the original eqn? will i still be penalized even tho i got the 2 values correct???
    also for qn3, will my method hold?
    n(2n+c)
    = n/2(4n +2c)
    = n/2(c+2+c+2+4(n-1))
    therefore, it is an AP since it follows the general formula.
    Tn = c+2+4(n-1)
    Tn = 4n+c-2
    some help here pls!!!
    tnks



    • 2010
      Nov
      16
      Tue
      8:54pm
       
      43.1

      @thecarz: The outcome to both your questions will really depend on the marker, as I've always felt that it's more important to demonstrate your understanding of essential concepts rather than the correctness of your final answer as far as A Level Maths go.

      For Q4(ii), usually it's method marks awarded for correct workings but wrong answer. However in this case it's likely something has gone awry in your working/approach but yet you've somehow obtained the 'correct' answers so .... hmmmm ...

      For Q3(i), you appeared to have made a somewhat bold assumption at the start that the sequence is an A.P., before working backwards to 'confirm' it. So it's really up to the marker to be convinced that you've "demonstrated your understanding of the concept involved in finding the general term of the sequence".

  44. Anonymous's Avatar
    Anonymous commented in tuition class


    2010
    Nov
    13
    Sat
    11:07pm
     
    44

    Hmm I definitely agree that A should be 75~80. I mean you all are all worried bout getting As (including me)

    But technically n logically speaking, the bulk and mean of the belt curve actually lies on B. So, if A hits 85... technically people who are weaker scoring 60+ would be getting C or D... Ouch~.. And people whu gets low 50+ would be scoring S == which seems a lil too extreme...

  45. kim's Avatar
    kim commented in tuition class


    2010
    Nov
    14
    Sun
    4:17pm
     
    45

    how did people from other jcs do? i'm from vj and so far i've only heard of roughly 3-4 people doing not so good...
    even our arts students are getting near full marks wts

  46. jqw's Avatar
    jqw commented in tuition class


    2010
    Nov
    14
    Sun
    7:55pm
     
    46

    im from hci and the majority of people think that this paper is easy but that doesnt mean most of us will do well (90 and above). In fact, alot of us made a lot of careless mistakes so for a safe estimate, the majority of the school will score between 78~82 for the overall grade. So that perhaps shall determine the cutoff point for an 'A'.

  47. Random user's Avatar
    Random user commented in tuition class


    2011
    Sep
    8
    Thu
    11:23am
     
    47

    Hi i would just like to comment on the ans given for 2010 H2 maths 9740 paper 1 solutions
    For qn 8i) i think there is a mistake i spotted.
    Qouting frm the solution u gave: arg (z2)=- tan^{-1} (-1/-1)= -{3pi}/4
    Shldnt it be =- pi/4 ???
    Hence the next few ans are diff bcos of the ans fr arg (z2)
    Im taking my H2 alevel maths this year so im just a random visitor to this site cos i was practicing the 2010 maths paper and was checking my ans with the solutions given here , if im wrong pls correct me thank you.

  48. marie's Avatar
    marie commented in tuition class


    2011
    Nov
    10
    Thu
    5:52pm
     
    48

    hi can you do the solutions for this year's h1 math paper? would really like to know how i did.... thank you

4 Reactions

  1. Tweetback
    akagitenpai tweeted


    2010
    Nov
    11
    Thu
    12:50pm
     
    49

    H2 Math worked solutions. This guy is efficient! http://bit.ly/bdIgnP

  2. Tweetback
    T. Jonathan tweeted


    2010
    Nov
    11
    Thu
    1:12pm
     
    50

    RT @akagitenpai: H2 Math worked solutions. This guy is efficient! http://bit.ly/bdIgnP

  3. Tweetback
    Ben Lim tweeted


    2010
    Nov
    11
    Thu
    1:20pm
     
    51

    RT @akagitenpai H2 Math worked solutions. This guy is efficient! http://bit.ly/bdIgnP



  4. 2010
    Nov
    11
    Thu
    1:42pm

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