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GCE O Level Oct/Nov 2011 E-Maths 4016 Paper 2 Suggested Answers & Solutions

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To the 1.0 × 10n (2 sig. fig.) missed calls & emails (from these few days) that are currently residing in Miss Lo’s handphone now:

As Miss Loi is deeply embroiled in her Mega Jφss Sticks sessions during this period of consecutive O Level A/E-Maths papers Please SMS or email your contact number if you’re interested in joining her maths classes for the new season, and she’ll get back to you when things have calmed down in early Novemberwhich starts this week!

Miss Loi is currently busy with her phone marathon to respond to all on new enquiries and those on the calling list. Will respond to the comments here in due time.

Thank You for your understanding and apologies for the slow response.

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Latest version:

  • 1.1: To stem the horde of AMaths students who go “Miss Loi! Your gradient for Q9(d) is waaaaaaaaay off! My dy/dx says 3.2!”, the tangent has been ‘keeeeeewed‘ (bent) to a gradient of 3.2 to prevent any widespread panic. But seriously, read this.
GCE O Level 2011 EMaths 4016 Paper 2 solutions

As usual, please leave a comment should you spot any mistake in the solution – like yesterday, Miss Loi still had students to save at The Temple throughout this evening (including some who refused to leave)! tsk tsk

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Revision Exercise

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Comments & Reactions

51 Comments

  1. Hi's Avatar
    Hi commented in tuition class


    2011
    Oct
    28
    Fri
    11:37pm
     
    1

    Thanks for the answers!
    The gradient in 9(d) which I got was way off = 3.05
    (dy/dx <x=4, it would be 3.2).

  2. Luchia Kiryu's Avatar
    Luchia Kiryu commented in tuition class


    2011
    Oct
    28
    Fri
    11:46pm
     
    2

    Question 4 ~
    Didn't get part one and part two. (Cannot get (b) equation)
    So, will they be marks for part three and four?

  3. Jolindaz's Avatar
    Jolindaz commented in tuition class


    2011
    Oct
    28
    Fri
    11:53pm
     
    3

    Can the gradient of the graph be 4? Mine turn out to be four..

  4. Lee Kian Boon's Avatar
    Lee Kian Boon commented in tuition class


    2011
    Oct
    29
    Sat
    1:44am
     
    4

    Hi!

    Its a year and a half since i last visited your 'virtual temple' at june last year.

    Missed the "joss sticks" that you'd given in your posts

    Anyway, now i'm back, i realised a few improvements made on your 'temple', like that facebook connect button 😛

    reading through your provided answers for this paper, i realised that your gradient is waaaaaaaaaay off. Shouldn't it be around 3.2, for dy/dx=(0.6x16)-(1.6x4)?

    and i'm sharing the answers i'd created on this page too:http://noobnaik.files.wordpress.com/2011/10/2011-mathematics-4016-02-answer-scheme.docx

  5. vic's Avatar
    vic commented in tuition class


    2011
    Oct
    29
    Sat
    1:51am
     
    5

    Hi ms loi!:) for qn1d, the ans is (2x-y)/x... is it ok if i put 2 - (y/x)? 🙂 thx...

  6. surian's Avatar
    surian commented in tuition class


    2011
    Oct
    29
    Sat
    2:14am
  7. MathA1's Avatar
    MathA1 commented in tuition class


    2011
    Oct
    29
    Sat
    2:31am
     
    7

    For qn no 10 why is the x=multiple of 5? shouldnt the number used be 4.5,14.5,24.5 ....etc. There are 10 numbers being: 0,1,2,3,4,5,6,7,8,9 . shouldnt it be the centre terms added then divide by 2? (4+5)/2=4.5?



    • 2011
      Oct
      30
      Sun
      8:03pm
       
      7.1

      @MathA1: The mid-values are simply the physical middle point of each class interval in the histogram.

      If we employ the way we use to find the median to obtain 4.5, 14.5 ... etc then these mid-points will no longer be at the center of each bar in the given histogram, unless there are gaps between the bars which don't exist in the given diagram.

      P.S. Actually a histogram represents a frequency distribution so there can never, ever be gaps between bars (else it would be just a bar chart). You may consider the purpose of the ≤ and < signs in the data ranges is to determine which frequency bar the data belongs to.

  8. arvind :)'s Avatar
    arvind :) commented in tuition class


    2011
    Oct
    29
    Sat
    4:57am
     
    8

    10(aiia) Shouldn't the middle points be 4.5, 14.5, 24.5 etc?
    Because the given parameters are 0 ≤ x < 10, so the possibilities should be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

    So shouldn't the median be 4.5 to be used in calculation?

  9. passer-by's Avatar
    passer-by commented in tuition class


    2011
    Oct
    29
    Sat
    5:45am
     
    9

    Hi, Ms Loi. There are a few qns I'd like to ask for this paper. (actually, is a lot !!! ><' )

    1. For Qn 5b(i), is it possible if we say that because p is multiplied by 2 and that makes it an even number, so the addition of 1 made it an odd no. ?
    2. For Qn 6a(iv), a friend of mine said that bearings should be rounded off to 3s.f. ...
    3. For Qn 7a. if we did not use the proportion method (meaning make an eqn like how you did), would they deduct marks ?
    4. For Qn 8,
    a,
    ii. they would give method marks even if we do not get the answer right ?
    b,
    i&ii. if we did not put the wave under the letters, would they deduct marks ?
    iii. can we say that line OX & OY are parallel, since they are collinear ?

    Thanks a thousand !! 😀
    and for the answers too ! ^^

    •  
      9.1

      @passer-by: Finally some time to continue replying the comments here *rubs eyes*

      Q5(b)(i): You definition should be fine for this 1-mark part. Miss Loi left it this way as the primary definition of an odd number is an integer that is not wholly divisible by 2.

      Q6(a)(iv): Umm ... bearings should always contain 3 digits, and since they are in degrees, they should be rounded off to one decimal place for non-exact answers (as stated in the instructions)

      Q7(a): You used ratios? i.e. x/70^2 = 150/50^2 If so, they're basically similar so should be fine 😀

      Q8(a)(ii): Method marks are not a myth! More apparently so in a 2-mark question!

      Q8(b)(i)(ii): Unfortunately yes. Hence this tip. Unless you somehow managed to bold the vector letters to a point that it became obvious (without causing a hole in the paper :P) - but that's quite a waste of time.

      Q8(b)(iii): All collinear vectors are parallel (but not all parallel vectors are collinear!) so you should be OK - though a paranoid Miss Loi feels that since the question asks for two facts about the points O, X and Y, your facts should at least mention directly some of the points rather than base them purely on lines or vectors e.g. X is the mid-point of OY.

  10. Rachel's Avatar
    Rachel commented in tuition class


    2011
    Oct
    29
    Sat
    7:32am
     
    10

    For 7(b)(ii), the surface area of the pot should not include the surface area of the circle because it is an open pot.

  11. Peace's Avatar
    Peace commented in tuition class


    2011
    Oct
    29
    Sat
    10:28am
     
    11

    hi was wondering why the bearing we were asked to find could be left in 4sf? since bearing is always only 3 numbers?

  12. mini's Avatar
    mini commented in tuition class


    2011
    Oct
    29
    Sat
    11:04am
     
    12

    how many marks would be deducted if the significant figure is wrong??

  13. Anonymous's Avatar
    Anonymous commented in tuition class


    2011
    Oct
    29
    Sat
    11:53am
     
    13

    Miss loi, will I get two mark if I plot the graph wrongly? My P value is correct but I accidentally plot the point (-2,4.8) . The other four point I plotted correctly. And my gradient is 2.8. Does that mean my gradient is wrong?

  14. Discuss's Avatar
    Discuss commented in tuition class


    2011
    Oct
    29
    Sat
    12:37pm
     
    14

    Is it necessary to write down the workings for 10(a)(ii)-mean and standard deviation to get the marks? I used my calculator to get the answers.

  15. Hilda's Avatar
    Hilda commented in tuition class


    2011
    Oct
    29
    Sat
    1:04pm
     
    15

    Hi Miss Loi, I have a few question ask ask you.
    1) Question 2(a)(i) If i leave the answer as 6.3 l (Short form for litre) and not litre/100km, i will only get 1 mark right?

    2) Question 5(ii) Is it a must to write 'The n'th term is 11 term'? I just leave my answer as 11.

    3) Question 7(b)(Ii) If i never add the base area, i will get 2 marks?

    4) Question 8(b)(iii) Can i write ' O,X and Y are collinear. OX=1/2OY'

    5) Question 9(d) My gradient is 2.56, is it acceptable?

    6) Question 10(a)(ii)(b) If i just use calculator to get S.D, i will only get 1 mark?

    Thank you (:

  16. Celeste's Avatar
    Celeste commented in tuition class


    2011
    Oct
    29
    Sat
    2:22pm
     
    16

    Hi

    Do you think 90% will be enough for an A1.

  17. chamberlain's Avatar
    chamberlain commented in tuition class


    2011
    Oct
    29
    Sat
    3:45pm
     
    17

    MISS LOI ,i honestly want to ask you : A1 must be above 90%? if above 85% ,can i get A1 ?how much possibility if i get 85% above to get A1. THX ,begging for your reply.........

  18. Desperato's Avatar
    Desperato commented in tuition class


    2011
    Oct
    29
    Sat
    7:05pm
     
    18

    I didn't state my reasons for the angle question3b because it is only 1 mark each. Will i still get it correct?
    And for question 5a(ii) i wrote T11. will i be marked down as well?

  19. yoyo's Avatar
    yoyo commented in tuition class


    2011
    Oct
    29
    Sat
    8:09pm
     
    19

    hope tis year , dey dont glgl go anyhw adjust moderation till we emo la =.=

  20. Greg's Avatar
    Greg commented in tuition class


    2011
    Oct
    30
    Sun
    1:10am
     
    20

    Hi Miss Loi,

    First of all, thanks for the answers to both paper 1 and paper 2! They have been a great help to me and my classmates.

    I have a couple of questions regarding the answer(s) to the papers.

    1) Question 2a (ii) (a), should the answer be rounded up or down? Since the question asks for the distance that she can travel, I thought that it should be rounded down instead of up.

    2) Question 9, would I be penalised for writing the answers on a piece of foolscap paper?

    3) Question 10b (i), I was told by my teacher that if you are asked to complete the probability tree, the answers on the tree must be in it's simplest form. Was I supposed to leave it in it's x/9 and x/10 form or change it to it's simplest form?

    Thank you.

    • yoyo's Avatar
      yoyo replied to Greg’s comment


      2011
      Oct
      30
      Sun
      12:52pm
       
      20.1

      @Greg: graph ans write on foolscape of cuz will penalize la =.=



    • 2011
      Nov
      21
      Mon
      3:06pm
       
      20.2

      @Greg: *rubs eyes at yet another missed comment!*

      1) This kinda thing huh ... we (and most others) have rounded up since, technically, we've been instructed to give all non-exact answers to 3 sf when the degree of accuracy isn't specified. In this aspect, it's perfectly fine to say she can travel approximately 732 km (make sure you use the ≈ sign).

      But if you round down, logically you're not wrong in this context but Miss Loi is just worried that a 'robotic' marker may not see it your way - so you'd be wise to state your reason clearly in order to to cover yourself.

      2) For Q9 - on the contrary Miss Loi would like to believe that Cambridge markers are kindly, compassionate folks who are not particular about such things as long as they can see your workings!

      3) No need lah - even the probabilities on the question paper are not in the simplest form!

  21. Randomness's Avatar
    Randomness commented in tuition class


    2011
    Oct
    30
    Sun
    6:51pm
     
    21

    Hello, Miss Loi

    Would I be penalized for using the equal sign when rounding off my answer instead of the rounding off sign?

    And would I be penalized for using calculator to get the standard deviation for question 10?

  22. hannah's Avatar
    hannah commented in tuition class


    2011
    Oct
    31
    Mon
    2:15pm
     
    22

    i'm very scared that i'll fail my maths. i usually get D7s. i found the o level maths papers easy but when i look at the solutions, i made soooo many careless mistakes & now i'm worrying like crazy. i wonder how the moderation will be like since most the peeps around me are scoring as high as 90, some even getting full marks. i don't want to end up failing T.T i really put in a lot of hard work, i don't mind getting a C6 cos i never passed math since sec 2. ughhh

  23. Nigel Woon's Avatar
    Nigel Woon commented in tuition class


    2011
    Nov
    1
    Tue
    11:32pm
     
    23

    Hi, erm im not a student here & im not sure if this will be answered, but I would like to ask you what is ur view on the A1 mark for this year? Taking into consideration the good schools& the neighbourhood ones. Much appreciated. Thanks

  24. Random's Avatar
    Random commented in tuition class


    2011
    Dec
    11
    Sun
    3:08pm
     
    24

    Hi ms Loi,i know this is a VERY late comment but i just want to ask you if we will get penalised if we use 3.sf numbers in workings but got the coorect answer in the end as i used stored numbers?

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