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GCE O Level Oct/Nov 2012 A-Maths 4038 Paper 1 Suggested Answers & Solutions

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TWAAANG! …

*hurried footsteps*

[Enter CHIEF DISCIPLE]

The Chief Disciple of The Temple appeared and rushed forward to lay prostrate before the High Priestess.

Disciple Loi

Oh forgive me! My High Priestess 教主!

I did not anticipate the unprecedented traffic that descended upon our website last Wednesday night!

O Level 2012 EMaths Paper 2 Crash

弟子该死! 弟子该死! *slaps own face*

She paused her guzheng playing, and glanced momentarily at the Chief Disciple.

High Priestess Loi

*sigh*

The two EMaths papers last week were apparently so easy to the point that the A1 cut-off mark is now firmly believed to be well into the 90s.

That had led to a massive “how many marks have I lost/can be saved” marks-counting exercise, resulting in comments that took me three nights to go through (and still continuing 🙁 )

Such is the mess of our academic 江湖 these days.

Suddenly the heavens opened, and a thunderstorm pelted the Temple’s ornate roof.

Disciple Loi

My High Priestess 教主! I have incoming news from the AMaths front!

Something about EMaths sine rule & a distance traveled by a particle …

High Priestess Loi

Yes I know …

Once again, she began to play her guzheng faster and faster …

twaaang! twaaang! twaaang! TWAANG! TWAANG! TWAANG!

… until the following shot out from within the strings of the musical instrument.

Click the Like button and grab it here!

GCE O Level 2012 AMaths 4038 Paper 1 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.

Next, she threw out another swarm of daggers …

Now for Paper 2: Here’s a list of possible topics that may appear for tomorrow’s AMaths Paper 2.

  1. Polynomials & Remainder Theorem
  2. Logarithmic & Exponential Functions
  3. Further Trigonometry esp R-Formula
  4. Curves
  5. Maxima/Minima Problems
  6. Quadratic Equations & Inequalities (Discriminants etc.)
  7. Plane Geometry aka the 阴阳眼 eyesight test
  8. Coordinate Geometry
  9. Integration: Area of region under curve
  10. Integration/Differentiation of Partial Fractions
  11. Modulus Functions
  12. Increasing & Decreasing Functions

Last important tip for today, tomorrow’s an
8AM Morning Paper!!!

ALL THE BEST for AMATHS PAPER 2 & GANBATTE!

[EXEUNT]

頑張って!!!

Revision Exercise

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Comments & Reactions

23 Comments

  1. Mark's Avatar
    Mark commented in tuition class


    2012
    Oct
    29
    Mon
    7:13pm
     
    1

    Hi! For qn 5 on graph, i did not start from origin(0,0), i started from (0,1). Is it ok?

    i read the y intercept wrongly (i think i read it as 2.5 when it should be 2.05) , so i calculate my part ii ans as

    ln(M) = 2.5
    M = 14.++
    Will i get 1m for this method?

    iii) Following up, i got wrong too as i used after half M used,

    M= 0.5(14.++)
    M= 7.++
    ln(7.++) = VALUE
    i followed this value from my yintercept graph, so i got time as 0.3++, will i also get 1m for my method!

    Was this yr's paper harder than 2011's? Thx!

  2. Hallowed hood's Avatar
    Hallowed hood commented in tuition class


    2012
    Oct
    29
    Mon
    7:57pm
     
    2

    May I ask:

    For question 13, part ii, can I show alternatively that as long as the gradient of CP is equal to the gradient of OC, then it means that the line CP passes through the origin?

    I would appreciate if you could reply soon. Thanks a lot.

  3. Ced's Avatar
    Ced commented in tuition class


    2012
    Oct
    29
    Mon
    8:41pm
     
    3

    Hi,

    I misread question 11 as roots of x² − 16x + 52 = 0 are α and β, find a quadratic equation whose roots are α + 3β and 3α + β. I did the question as per normal.

    Will I be able to get method marks for this question?

  4. Rebecca's Avatar
    Rebecca commented in tuition class


    2012
    Oct
    29
    Mon
    8:49pm
     
    4

    For question 9(i) can I differentiate using quotient rule? The answer I got is (-24t-24) over (t+1) to the power of 4. Is this correct?

    Also, for question 3(ii) I forgot to write the constants. Will I get method mark out of the three marks?

    Thank you

  5. weineng's Avatar
    weineng commented in tuition class


    2012
    Oct
    29
    Mon
    9:15pm
     
    5

    hi, for qn 1, dx/dt should be both 0.08 and -0.08.
    They question said changing, not increasing nor decreasing. am i wrong?

  6. Joel's Avatar
    Joel commented in tuition class


    2012
    Oct
    29
    Mon
    9:45pm
     
    6

    For 3ii) if I had combined all the individual factors as shown in your workings to form (2x²lnx - x² + 2 c) / 4 will it be wrong?

    And for 13iii) if I leave it as per normal in the unexpanded form, will I still be marked right or be deemed wrong?
    Thanks

  7. Raymond's Avatar
    Raymond commented in tuition class


    2012
    Oct
    29
    Mon
    9:58pm
     
    7

    Hi! I got the equation of the circle for the last part of last question in the form of (x-a)^2+(y-b)^2... but I ended up expanding wrongly. So how many marks will be deducted?

    Also, for the distance travelled for kinematics, I put 3 units instead of 3m cos I did not see the unit given. How many marks will be deducted?

  8. Ng Guan Zhi's Avatar
    Ng Guan Zhi commented in tuition class


    2012
    Oct
    29
    Mon
    10:14pm
     
    8

    For qn 11 if I never put =0 will marks be deducted and for the period can I leave it in degree form 720 degrees

  9. Donburi's Avatar
    Donburi commented in tuition class


    2012
    Oct
    29
    Mon
    10:16pm
     
    9

    Hello Ms Loi,

    I would like to inquire about the questions 3ii and 5iii.

    For question 3ii, If I inadvertently forget to write the Constant term, will marks be deducted? If so, how many out of the 3 marks?

    For question 5iii, I only wrote down  \ln \left (  \frac{M}{2}\right ) , and forgot that I had to add in  \ln M , giving  \ln \left (  \frac{M}{2}\right ) + \ln M . In this scenario, will I get at least 1 mark, or zero due to the incomplete workings/formulae?

    I hope to hear from you soon! 😀

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