2012
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GCE O Level Oct/Nov 2012 A-Maths 4038 Paper 2 Suggested Answers & Solutions

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Posted at 4:17 pm by Miss Loi in Miss Loi the Tutor

Act I, Scene 5
Miss Loi’s Temple, The Temple Gates

TWAAANG! …

*hurried footsteps*

[Enter CHIEF DISCIPLE]

The Chief Disciple of The Temple appeared and rushed forward to kneel on one knee before the High Priestess.

Disciple Loi

My High Priestess 教主!

Your … hair! Your … face …!!! *points trembling fingers*

I know it’s Halloween Eve but …

Miss Loi the Hagged High Priestess

The Hagged High Priestess

High Priestess Loi

*cough cough*

Yes I know.

These consecutive O Level Maths flying daggers throwing cum solutions cum comments replying have greatly affected my 元气 and taken a toll on me.

And it’s not helpful when they scheduled a lethal AMaths/Chemistry Terror Tuesday to tekan our disciples, especially that 8 am AMaths paper which caused me to miss many hours of my beauty sleep.

*cough*

My beautician is going to have her work cut out for her after this!

Disciple Loi

So my High Priestess 教主! Do you still have energy for one more paper? I heard it’s quite easy …

This time the air suddenly went deathly still as she closed her panda eyes and seemed to pause for an eternity.

When she began, she pounded on her guzheng like never before, churning out frantic, angry mathematical notes that rocked the very foundation of The Temple, and sent a wild tempest that whipped through the streets of Novena – causing leaves to fly around like kinematic particles with numerous turning points, and cups from the nearby Gong Cha stall to bounce off the floor like modulus graphs (the floor being the x-axis).

And so, her unearthly tune went faster and faster and faster …

twaaang! twaaang! twaaang! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG! TWAAANG!

… until, one by one, the strings of her musical instrument began snapping and her fingers started to bleed *ewwwwe* … until the following shot out:

Click the Like button and grab it here!

Latest version:

  • 1.1: Q3(iii) & Q5(iii) – removed the + c in the definite integrals
  • 1.2: Included the short & sharp alternate segment theorem method for Q4(iii)
GCE O Level 2012 AMaths 4038 Paper 2 Solutions
Access it here if you’re having trouble accessing it on Facebook using your state-of-the-art smartphone :(

N.B. As usual, please, please leave a comment should you spot any mistake in the solution.


The tune ended as abruptly as it began.

With that, the High Priestess Merlion-ed spattered a spray of blood from her mouth before collapsing to the floor.

On seeing this, the Chief Disciple rushed forward to cradle her in his arms.

Disciple Loi

My High Priestess 教主! Are you alright???!!!!

With a trail of blood flowing from her trembling lips, she gathered her last ounce of strength for the following words.

High Priestess Loi

No … more … maths. Till … next … year.

Gan … batte … to … all … for … your … remain … ing … papers.

NEVER … STOP … LEARNING.

*goes limp*

Disciple Loi

来人啊! 来人啊!

[EXEUNT]

End of Act I
頑張って!!!

Revision Exercise

To show that you have understood what Miss Loi just taught you, you must:

  1. Leave A Comment!
Comments & Reactions

28 Comments

  1. Cynthia's Avatar
    Cynthia says


    2012
    Oct
    30
    Tue
    4:34pm
     
    1

    Oh no !
    I only put y = ln 5, forgot to evaluate it and did careless for the give-away question of the R formulae -.- Just wondering, will some marks be given even if we convert ans to the opposite form ?



    • 2012
      Oct
      30
      Tue
      8:20pm
       
      1.1

      @Cynthia: For Q6(b), actually leaving it as ln 5 should be fine as well, as mark schemes tend to accept "or equivalent" answers :D

      Umm ... for Q9(ii) if you have left your answer in R sin (θα) form you might still salvage something from your value of R (assuming it's correct).

      • Cynthia's Avatar
        Cynthia replied to Miss Loi’s comment


        2012
        Oct
        30
        Tue
        9:04pm
         

        @Miss Loi: Oh gosh. I memorised formula and know how to solve... but was "blind" didn't see qn properly straight away do, ans is in R sin ( tetra - alpha ).
        Wasted argh.

        By the way, for coordinate geometry question, I don't know how to solve but tried my best to derive values of midpt, equation of parallel line next to AB, can get at least 2 marks ?

  2. Mark's Avatar
    Mark says


    2012
    Oct
    30
    Tue
    5:00pm
     
    2

    for qn 6b) is it ok to leave my ans at ln(5)?

    qn8i) is it ok to put my set as {0<m<4} without the m: infront?

    for 8iiib) if i solve by working out sums, and get 4, will i get 1m?



    • 2012
      Oct
      30
      Tue
      8:45pm
       
      2.1

      @Mark: Q6(b): ln (5) should be fine - see above ^^

      Q8(i): Unfortunately, when enclosed in braces, {0 < m < 4} is not valid set notation as you'll require the "m : " at the front to define "the set of all values of m such that ..."

      Q(iii)(b): Marks should be awarded for your workings since there's no requirement in the question to do it strictly via Miss Loi's sketching approach ^^

  3. Gary's Avatar
    Gary says


    2012
    Oct
    30
    Tue
    5:20pm
     
    3

    the value for 1ii is exact... need not round off to 3sf..

  4. Hallowed Hood's Avatar
    Hallowed Hood says


    2012
    Oct
    30
    Tue
    5:54pm
     
    4

    Dear Ms Loi,

    I would like to refer to the questions 3(ii) and 5(ii), wherein there is a need to express ∫ y dx. I have done the first part, that is, expressing ∫ y dx, with the letter 'c' to represent a constant. However, when I am asked to evaluate, I exclude the letter 'c', since I know that these will be definite integrals.

    Will that be accepted? If that is wrong, then how many marks do you reckon will be deducted?

  5. sad's Avatar
    sad says


    2012
    Oct
    30
    Tue
    6:18pm
     
    5

    Hello Ms Loi, i just like to ask for the geometrical proof question. Is it ok if i let angle spq be a and angle rbp be 2a. Am i assuming? Is it wrong?

  6. Sh's Avatar
    Sh says


    2012
    Oct
    30
    Tue
    6:51pm
     
    6

    Ms Loi, what do you the A1 will be for amath and emath this year? And can you post chemistry paper 2 answers?

  7. Fiona's Avatar
    Fiona says


    2012
    Oct
    30
    Tue
    7:35pm
     
    7

    Hi. I'm just wondering how much must I score upon 100 overall to secure an A1?
    Also for the plane geom questions can't the last part be proven by alt segment thm?
    Thanks

  8. Gary's Avatar
    Gary says


    2012
    Oct
    30
    Tue
    8:02pm
     
    8

    Hi Ms Loi..
    for the modulus graph qn8iii
    the question asked me to find the number of solutions..
    but i did not have much workings ( change the subject of formula to y=....) as my graph i drew in part ii is drawn to scale.. i just read off from the graph and just wrote 2 and 3 as the ans.. will i get penalized for not drawing a line on the graph? but the question simply said find the solution.. and it 4 Marks...:((



    • 2012
      Oct
      30
      Tue
      11:02pm
       
      8.1

      @Gary: Miss Loi believes the intention of Q8(ii) is not for you to draw the graph to scale on the graph paper but this shouldn't affect your marks for part (ii).

      Part (iii), however, did not specifically state how you should obtain the number of solutions so you should gain the relevant (at least 2) marks for your correct answers. Any remaining method mark(s) will depend on whether your method (which you should clearly state that you read off your accurate graph) is acceptable to the mark scheme. Good luck! ^^

  9. Ng Guan Zhi's Avatar
    Ng Guan Zhi says


    2012
    Oct
    30
    Tue
    8:20pm
     
    9

    For qn11 I differentiated correctly but subbed in the wrong points to find coordinates of C.for part 2 i integrated correctly but my answer is wrong due to part 1. Will I get any method marks

  10. myriadofcolours-'s Avatar
    myriadofcolours- says


    2012
    Oct
    30
    Tue
    10:39pm
     
    10

    Hello! Thanks for putting up the answers. If I didn't put 90 degrees as one of the solutions, how many marks will I lose? Have a nice day! :)

  11. michelle's Avatar
    michelle says


    2012
    Oct
    31
    Wed
    5:35pm
     
    11

    Hi Miss Loi, for the modulus question, i solve part iii using equations instead of drawing a line, but i still get 2&3 solutions, do i still get the mark??

6 Reactions

  1. Tweetback
    Miss Loi tweeted


    2012
    Oct
    30
    Tue
    8:23am
     
    12

    The High Priestess' final act in the form of the #olevel #amaths paper 2 suggested solutions: http://t.co/c2qWHvwU #amath *goes limp*

  2. Tweetback
    Derence Fang tweeted


    2012
    Oct
    30
    Tue
    8:47am
     
    13

    The High Priestess' final act in the form of the #olevel #amaths paper 2 suggested solutions: http://t.co/c2qWHvwU #amath *goes limp*

  3. Tweetback
    Koh Eng Kang tweeted


    2012
    Oct
    30
    Tue
    8:49am
     
    14

    The High Priestess' final act in the form of the #olevel #amaths paper 2 suggested solutions: http://t.co/c2qWHvwU #amath *goes limp*



  4. 2012
    Oct
    30
    Tue
    9:30am


  5. 2012
    Oct
    30
    Tue
    11:25am
     
    16

    RT @MissLoi: Retweet This Blog Post http://t.co/OxsJp3Ut



  6. 2012
    Oct
    30
    Tue
    12:48pm
     
    17

    The High Priestess' final act in the form of the #olevel #amaths paper 2 suggested solutions: http://t.co/c2qWHvwU #amath *goes limp*

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