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2012
Wed
24
Oct
Miss Loi avatar

GCE O Level Oct/Nov 2012 E-Maths 4016 Paper 2 Suggested Answers & Solutions

(115)
Tuition given in the topic of Miss Loi the Tutor from the desk of Miss Loi at 9:04 pm (Singapore time)

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! …

High Priestess Loi

Yes I know!

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

… until her eyes turned white and her hair turned frizzly …

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Latest version:

  • 1.1: Q7(a) Corrected the value of p to 7.47.
  • 1.2: Q7(b) Amended the y-axis to begin from −1 as required by the question.
GCE O Level 2012 EMaths 4016 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. After doing the paper at such a speed (admittedly, with some help along the way), the High Priestess is going to faint soon!

Meanwhile …

Disciple Loi

My High Priestess 教主! Mass dumping of EMaths books is being spotted across the state!

Post O Level fate of EMaths books

Post O Level fate of EMaths books
[source]

[EXEUNT]

頑張って!!!

Revision Exercise

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

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Comments & Reactions

92 Comments

  1. Erick's Avatar
    Erick commented in tuition class


    2012
    Oct
    24
    Wed
    7:43pm
     
    1

    What would happen if my paper 2 graph question had a point plotted wrongly, and the subsequent parts had the wrong answers because the graph had the wrong shape. Will i get the whole graph question wrong? or can i still get some marks because of error carried forward?
    Thankyou!

  2. Rachel's Avatar
    Rachel commented in tuition class


    2012
    Oct
    24
    Wed
    8:29pm
     
    2

    My paper 2 was not tied in the qns order for the graph
    qns, which is qns7. Instead, I tied it to the last page. Is it alright?? :/

  3. wotagei's Avatar
    wotagei commented in tuition class


    2012
    Oct
    24
    Wed
    9:47pm
     
    3

    Hi.,. made a lot of careless mistakes T.T
    How much do you think this year A1 and A2? T.T
    For gradient of tangent, since scale is smaller, is it true that the range of accepted answer will be bigger than usual? My answer is 2.04. Then can explain to me about the probability qns last part?
    Thanks T.T

  4. Kester Tay's Avatar
    Kester Tay  commented in tuition class


    2012
    Oct
    24
    Wed
    9:49pm
     
    4

    Q10c)

    Let the two people you pick be labeled A and B.

    What's the probability of picking A, then a B (without replacement of the A)? (calculating only possible outcome: AB)

    Ans: (11/16)(10/15) = 11/24

    What's the probabilty of picking 2 people out of the lot, and having an end result of A and B in your selection, regardless of sequence? (calculating possible outcomes: AB, BA)

    Ans: 11/24 + 11/24 = 11/12

    Basically:

    Probability of getting AB + Probability of getting BA = 11/12

    Shouldn't this be the case, Ms Loi? :0

    •  
      4.1

      @Kester Tay: Q10(b)(ii)(b) requires us to find the probability that neither of two members selected at random is a right-handed female.

      Do you first agree that both members selected die die cannot be right-handed females? This means that not even one of them can be a right-handed female.

      So this translates simply into:

      The first member you select from the group die die cannot be a right-handed female ⇒ probability = 11/16

      AND

      The second member you select from those remaining in the group die die cannot be a right-handed female ⇒ probability = 10/15

      ∴ P(neither is a right-handed female)
      = (11/16)(10/15) = 11/24

      If you still don't believe Miss Loi, you may work things out the long-winded way by considering all possibilities of not selecting any right-handed female as presented in the probability tree diagram below (note: we can't have even one right-handed female selected at any point):

      GCE O Level 2012 EMaths Paper 2 Q10(b)(ii) Probability Tree Diagram

      So P(neither is a right-handed female)
      = (6/16)(5/15 + 3/15 + 2/15) + (3/16)(6/15 + 2/15 + 2/15) + (2/16)(6/15 + 3/15 + 1/15)
      = (6/16)(10/15) + (3/16)(10/15) + (2/16)(10/15)
      = (11/16)(10/15)
      = 11/24

      *This reply was typed out by a left-handed female*

      P.S. If Miss Loi understands the cases you've presented, you are labelling a person of "type A or B" but in actual fact for Q10(b)(ii) there should be only one "type" i.e. "not a right-handed female".

  5. John's Avatar
    John commented in tuition class


    2012
    Oct
    24
    Wed
    10:00pm
     
    5

    If I have an inaccurate "P" value for the graph question, however my tangent and x- coordinates are correct, do I still qualify for the marks for part C) onwards?

  6. RY's Avatar
    RY commented in tuition class


    2012
    Oct
    24
    Wed
    10:02pm
     
    6

    1)For 9(c), i mistakenly wrote OM as 4cm instead of my calculated OM value. So my ans for part c is wrong, so will there be method marks given for part c, d and e and will there be 'error carry forward?'
    2) for 4 ci) i did divide the 3.97x10^13 by 60k and then 12, will i get method mark for that?

  7. Denton's Avatar
    Denton  commented in tuition class


    2012
    Oct
    24
    Wed
    10:55pm
     
    7

    For question 10a)i)a), can it be 37 instead of 37.4? Also, 10a)iii) can it be saying that the chem students had a lower median and higher upper quartile?

  8. ---'s Avatar
    --- commented in tuition class


    2012
    Oct
    24
    Wed
    11:14pm
     
    8

    10biib answer is it wrong? Cos for most of my friends and i get 11/24 for the answer

  9. Navin's Avatar
    Navin  commented in tuition class


    2012
    Oct
    25
    Thu
    12:28am
     
    9

    Hey wanted to ask whether the graphquestions 7'c) , 7d) and 7e) has a range of answers? If so, is answers to 7c) x= 2.4 ad x=3.3 , 7d) gradient = 1.51 and 7e) min pt. (2.8, -0.3) acceptable? Thank you for the solutions. Really appreciate it. 🙂

  10. Ling's Avatar
    Ling commented in tuition class


    2012
    Oct
    25
    Thu
    2:16am
     
    10

    Dear miss Loi , for qn 9d, if I got the height wrong and used it for other parts will I get carried forward marks ?

  11. Ron's Avatar
    Ron commented in tuition class


    2012
    Oct
    25
    Thu
    4:02am
     
    11

    Hi is question 1d (ii) confirmed correct? Cause just now I saw some other ans key something diff 🙁 thanks!

  12. Angeline's Avatar
    Angeline commented in tuition class


    2012
    Oct
    25
    Thu
    7:37am
     
    12

    Miss Loi, can you predict what might be the A1 range?

  13. Cat's Avatar
    Cat commented in tuition class


    2012
    Oct
    25
    Thu
    7:37am
     
    13

    For 4(a)(i), can the answer be left as $420?

  14. Ling's Avatar
    Ling commented in tuition class


    2012
    Oct
    25
    Thu
    7:58am
     
    14

    Miss Loi , for qn 9d paper 2, if my height is wrong and I used it for other parts , is there error carried forward marks?

  15. Mary's Avatar
    Mary commented in tuition class


    2012
    Oct
    25
    Thu
    8:02am
     
    15

    For 6.(b)(v) I multiplied 1.05 to the original prices ($2.50/$3), then I found a new P and got a different total new fee. Is this method acceptable?

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


    2012
    Oct
    25
    Thu
    9:41am
     
    16

    For the graph can I start with 1 on the x-axis and -1 on the y-axis.For part c can 2.35 and 3.55 be accepted and the gradient 1.73 be accepted. Can the min point be (3,-0.35)

  17. Rayner's Avatar
    Rayner commented in tuition class


    2012
    Oct
    25
    Thu
    10:24am
     
    17

    Hi, just a question.

    For example after i put P(Neither Blahblah)= 3/24

    I rewrite the sentence : The probability of Neither Blah Blah is 3/24.

    Accepted? Haha

  18. April Lee's Avatar
    April Lee commented in tuition class


    2012
    Oct
    25
    Thu
    10:56am
  19. Alicia's Avatar
    Alicia commented in tuition class


    2012
    Oct
    25
    Thu
    11:17am
     
    19

    Hi, I would like to ask, is there some mistake in qn 6aiii ?
    Shouldnt the answer be only 5,7,9,10,11,13,14,15.
    Why is there no. 3,6,12 ?
    Can you explain? Thank you. (:

  20. Navin's Avatar
    Navin  commented in tuition class


    2012
    Oct
    25
    Thu
    2:59pm
     
    20

    Hello. Just wanted to check that whether for Q3bib) the y intercept I can leave the answer in coordinate form like (0,-2)

  21. Junwei's Avatar
    Junwei commented in tuition class


    2012
    Oct
    25
    Thu
    3:03pm
     
    21

    Hi, if I didn't put any curly wordy line for the equal sign but I stated (3sf) or (nearest dollars) etc. will I still be penalise?

  22. Rachel's Avatar
    Rachel commented in tuition class


    2012
    Oct
    25
    Thu
    4:18pm
     
    22

    Hi. My friends told me thour ans script MUST be tied in order. But I tied my graph qns, which is qn 7 at the last page. Is is alright?

  23. Xan's Avatar
    Xan commented in tuition class


    2012
    Oct
    25
    Thu
    5:33pm
     
    23

    Hi!
    If my Venn diagram already had a mistake from start, hence affecting all of my answers in the later parts of te Venn diagram question, will I get any working marks?

  24. Jim Li's Avatar
    Jim Li commented in tuition class


    2012
    Oct
    25
    Thu
    8:57pm
     
    24

    For Question 5, if one of the angles is proven wrongly does it mean that all my subsequent answers will be incorrect even if the methods used or angle is correct?

  25. Raymond's Avatar
    Raymond commented in tuition class


    2012
    Oct
    25
    Thu
    10:45pm
     
    25

    Hi miss loi. If I put units inside the matrices for qn 5aii and 5aiii, will I be given the marks?

  26. Raymond's Avatar
    Raymond commented in tuition class


    2012
    Oct
    25
    Thu
    10:50pm
     
    26

    Oh and I thought for the median marks should be only to accuracy of 0.5? cos this is the case in actual...

  27. Jason's Avatar
    Jason commented in tuition class


    2012
    Oct
    25
    Thu
    11:10pm
     
    27

    Sorry Ms Loi >.< For question 3), is it okay to put (0,-2) as the y-intercept instead of -2?

  28. Navin's Avatar
    Navin  commented in tuition class


    2012
    Oct
    25
    Thu
    11:35pm
     
    28

    Hi just wanna ask, whether Q3bib) the y interct I could leave the answer in coordinate form like (0,-2). Thnks!

  29. Jsn's Avatar
    Jsn commented in tuition class


    2012
    Oct
    26
    Fri
    6:14pm
     
    29

    Hi,

    Im very worried about qn 2d. I got my a) b) and c) right. Just that i somehow got 2d wrong. I used cosine rule for triangle ECD... So i may have gotten some values wrong. Ended up getting DE = 12.9 or something. So would i get 0/3m for this? Or would i get method mark for using cosine rule?

    8e) I showed my working : 2000/161.8, somehow i evaluated it wrongly cause i may have typed it in cal wrongly. Would i be given 1m for this?

    10a)i)a) Median i put as 37.5?

    10b)ii)b) Probability of getting neither right handed female, if i got my ans as 11/12, would i get 0/2m? Or is there any chance of 1m?



    • 2012
      Oct
      28
      Sun
      1:04am
       
      29.1

      @Jsn: For Q2(d), if you read through how method marks are awarded, they are awarded based on the correct application of the formula rather simply stating the use of the formula.

      From your description, you appear to have used the cosine rule on the wrong triangle so, strictly speaking, no method mark will be awarded if this is the case 🙁 (Miss Loi hopes she's wrong here for your sake)

      For Q8(e), it depends on the mark scheme but since there are 2 marks in this part, there's a chance to for a 1 mark redemption here.

      For Q10(a)(i)(a), 37.5 should be fine ^^

      For Q10(b)(ii)(b), again it ultimately depends on the mark scheme but for probability questions like this one where you need to get the concept right from the start, it's often a case of 0 or full marks 🙁

  30. Hari's Avatar
    Hari commented in tuition class


    2012
    Oct
    26
    Fri
    9:35pm
     
    30

    Hi Ms Loi ,

    For qn 4c i) I wrote my ans as 8.14X10^13 instead of 8.1356x10^13. minus marks for that ?

    Qn 10b) i counted the total group of students as 17 instead of 16 , thus i got all the answers wrong for 10b , will i get any marks for that qn ?

    I did not put the curly sign or (3.sf) for most of the qns . Will i still get penalised for that ?

    Thanks 😀

  31. Tom's Avatar
    Tom commented in tuition class


    2012
    Oct
    26
    Fri
    9:53pm
     
    31

    Hi Ms Loi, for question 4ciii) is it okay to write "Assume one month has 31 days" and divide the value by (31x12) instead of 365?

    And for question 7c), will marks be deducted for not showing "Hence y=0"?

    Lastly, what do you think this year A1 mark will be?

  32. Cindy's Avatar
    Cindy commented in tuition class


    2012
    Oct
    26
    Fri
    10:37pm
     
    32

    Will there be error carried forward marks? For example, for the venn diagram, if I drew it wrongly.

  33. Lim's Avatar
    Lim commented in tuition class


    2012
    Oct
    28
    Sun
    10:14am
     
    33

    For last probability qn, i thought it meant it cannot be both right handed female. The qn is phrased such that it is actually trying to convey that cannot have AT LEAST ONE right handed female....... 🙁

  34. weng's Avatar
    weng commented in tuition class


    2012
    Oct
    29
    Mon
    8:24pm
     
    34

    wow thanks miss loi for the answers, are the qn paper available to be posted too for easy x ref thanks for the great work

  35. Serene's Avatar
    Serene commented in tuition class


    2012
    Nov
    5
    Mon
    5:51pm
     
    35

    Hey, just wondering if I did not add units for most of my answers, will they minus 1 mark for all? What if for those "prove" questions?

23 Reactions

  1. Tweetback
    Miss Loi tweeted


    2012
    Oct
    24
    Wed
    1:12pm
     
    36

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  2. Tweetback
    DELEEE!✨ tweeted


    2012
    Oct
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    37

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  3. Tweetback
    Madeline P. tweeted


    2012
    Oct
    24
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    1:20pm
     
    38

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  4. Tweetback
    Charls-ology tweeted


    2012
    Oct
    24
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    1:21pm
     
    39

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  5. Tweetback
    WAH(: tweeted


    2012
    Oct
    24
    Wed
    1:22pm
     
    40

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  6. 2012
    Oct
    24
    Wed
    1:25pm
  7. Tweetback
    DELEEE!✨ tweeted


    2012
    Oct
    24
    Wed
    1:28pm
     
    42

    @sammmanthayew http://t.co/2zFGebRE I havent see yet! Cause the website damn slow

  8. Tweetback
    Fuquan tweeted


    2012
    Oct
    24
    Wed
    1:30pm
     
    43

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  9. Tweetback
    Zenneth Lim tweeted


    2012
    Oct
    24
    Wed
    1:38pm
     
    44

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  10. 2012
    Oct
    24
    Wed
    1:44pm
     
    45

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  11. Tweetback
    Joel Chua tweeted


    2012
    Oct
    24
    Wed
    1:46pm
     
    46

    RT @MissLoi #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/HIBhqcfm (cont) http://t.co/VOKUFBuH



  12. 2012
    Oct
    24
    Wed
    1:53pm


  13. 2012
    Oct
    24
    Wed
    1:53pm


  14. 2012
    Oct
    24
    Wed
    2:04pm
     
    49

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  15. 2012
    Oct
    24
    Wed
    2:04pm
     
    50

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  16. 2012
    Oct
    24
    Wed
    2:04pm
     
    51

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  17. 2012
    Oct
    24
    Wed
    2:04pm
     
    52

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  18. 2012
    Oct
    24
    Wed
    2:04pm
     
    53

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  19. 2012
    Oct
    24
    Wed
    2:04pm
     
    54

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  20. Tweetback
    Yew Siang tweeted


    2012
    Oct
    24
    Wed
    2:07pm
     
    55

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths



  21. 2012
    Oct
    24
    Wed
    2:16pm
     
    56

    #Olevel #emath paper 2 full answers & suggested solutions: http://t.co/tvFiGTTO This is the REAL deal not some disgusting pic! #emaths

  22. Tweetback
    Fazly Rafi tweeted


    2012
    Oct
    24
    Wed
    3:18pm


  23. 2012
    Oct
    24
    Wed
    11:47pm
     
    58

    Gessians checking EMP2 sols should use link at http://t.co/5DHA9GqV cos the other typed written version circulating around has a wrong ans

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