Close
Close

Login here to access/preview our exam papers, or sign up now for your free membership!



2011
Fri
11
Nov

GCE A Level 2011 Oct/Nov H2 Maths 9740 Paper 2 & H1 Maths 8864 Paper 1 Suggested Answers & Solutions

(36)
Tuition given in the topic of H1/H2 (A Level) Maths Tutor from the desk of The Higher Council at 10:32 pm (Singapore time)

Hello it’s me again *rubs eyes*

It’s been a looooooong day. And yeah the A Level Maths papers have been a little tricky this year.

While I recognize that many of have had a tough time working out the papers for the past two mornings, do spare a thought for me who have been forced by my sis to working out three A Level Maths papers in the past two days (plus tuition time) as you browse through my suggested answers to today’s H2 Maths Paper 2 which you may access here by clicking the Like button (if you haven’t yet done so).

Latest version:

H2 Maths Paper 2

  • 1.1:
    Q2(ii) Modified rejection reason to 2x < n (as kindly pointed out by Chen Jing)
    Q3(iii): x = -0.4847 instead of -0.4877 (misread due to pen no ink :P)
    Q8(iv): 13.5 – corrected rounding error (as kindly pointed out by Ah Wei)
    Q12(iii) – removed lower limit of 0 since there’s nothing stopping the number of people joining the queue to be greater than the number leaving the queue (as pointed out by sam)
  • 1.2:
    Q2(ii) – Simplified the final answer further.
    Q8(i) – Removed extra point from scatter diagram which should contain only 5 points (I swear I plotted only 5 points that night!!!)
    Q12(iii) – removed the continuity correction since the approximated aggregated Normal distribution is already continuous. Therefore no continuity correction is needed (apologies for this oversight and I hope this will bring closure to this part).
    Q12(iv) – added missing answer (too tired that night and missed this!)
GCE A Level 2011 H2 Maths 9740 Paper 2 solutions GCE A Level 2011 H1 Maths 8864 Paper 1 solutions

GCE A Level H2 Maths 9740 Paper 2 (left) H1 Maths 8864 Paper 1 (right)
suggested solutions & answers

As usual, please leave a comment should you spot any mistake in this set of suggested solutions – as mentioned it’s been rather tiring doing the many, many A Level Maths papers these two days *faints*

Last but not least, if you haven’t yet done so, do say hi to me when you drop by in Facebook 😉

頑張って!!!

Revision Exercise

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

  1. Leave A Comment!
Comments & Reactions

36 Comments

  1. sam's Avatar
    sam commented in tuition class


    2011
    Nov
    11
    Fri
    10:42pm
     
    1

    12 part three. why is there a bottom limit of zero. shouldnt it be just P(Y-X <11.5) ?

  2. Ah Wei's Avatar
    Ah Wei commented in tuition class


    2011
    Nov
    11
    Fri
    10:48pm
     
    2

    For 8iv) must note to use 5sf and above to find value of y. If not will have rounding off errors.

  3. Anonymous's Avatar
    Anonymous commented in tuition class


    2011
    Nov
    11
    Fri
    10:53pm
     
    3

    Question 2 part (ii) : it should be x < 2n ,and not x < n. n/12(6 + root(12)) is still smaller than n

  4. Chen jing's Avatar
    Chen jing commented in tuition class


    2011
    Nov
    11
    Fri
    11:02pm
     
    4

    Hi! I think the rejection reason for the rectangle should be 2x<n if u looked at the left side! Cause one of the x value is ard 0.2n the other 0.7n so
    Reject the 0.7n

  5. fran's Avatar
    fran commented in tuition class


    2011
    Nov
    11
    Fri
    11:06pm
     
    5

    h2 math paper2, question 12 part iii) shouldnt it be X + Y instead of X-Y ??

  6. yellowfishx's Avatar
    yellowfishx commented in tuition class


    2011
    Nov
    11
    Fri
    11:16pm
     
    6

    Hi,
    For 12iii, there should not be a lower limit of 0, as the number of people entering the queue can be more than number of people leaving.
    In addition, continuity correction should not be used, as the distribution of Y15-X15~N(9,45) is not based on a poisson distribution.
    seems like it's more tricky than you thought 😀



    • 2011
      Nov
      16
      Wed
      7:31pm
       
      6.1

      @yellowfishx: Sorry I've been away in the past days.

      Yes a continuity correction is used only when the distribution modeled is discrete. In this case, the aggregated normal distribution is already continuous (though it is approximated) so a further continuity correction is unnecessary.

      Therefore no continuity correction is needed and I've amended the solutions to reflect this in v1.2.

      Apologies for this oversight and I hope this will bring closure to everyone on this part.

      P.S. The lower limit issue has be corrected since v1.1.

  7. james's Avatar
    james commented in tuition class


    2011
    Nov
    11
    Fri
    11:24pm
     
    7

    omgg... got average of 70 for both papers only... that isnt an A right

  8. sw's Avatar
    sw commented in tuition class


    2011
    Nov
    11
    Fri
    11:26pm
     
    8

    continuity correction should be to P(R<25.5) rather than P(R<24.5)?

  9. john's Avatar
    john commented in tuition class


    2011
    Nov
    11
    Fri
    11:28pm
     
    9

    But mdm, isnt there is chance that the queue will get longer instead?

  10. Curious's Avatar
    Curious commented in tuition class


    2011
    Nov
    11
    Fri
    11:48pm
     
    10

    Hi, for 12iii, considering that there's a subtraction between both approximated distributions, isn't cc not needed? Thanks for the answers! 🙂

  11. Anonymous's Avatar
    Anonymous  commented in tuition class


    2011
    Nov
    12
    Sat
    11:48am
     
    11

    SOrry just Wondering whether the scatter diagram is y on
    X or y on x^2?



    • 2011
      Nov
      16
      Wed
      8:22pm
       
      11.1

      @Anonymous: The scatter diagram is y on x so that you can show clearly the non-linear relationship between y and x in your scatter diagram.

      Please note that you should simply sketch using arbitrary points as required by the instructions in Q9(i) i.e.
      a is positive ⇒ positive y-intercept
      b is negative ⇒ plots negatively sloped
      equally-spaced positive x- and y-values ⇒ all points in first quadrant

      You should not waste time plotting using the data in the table (or worse use all 7 points in your scatter diagram when you are instructed to include only 5) which is actually meant for subsequent parts.

  12. clarionx's Avatar
    clarionx commented in tuition class


    2011
    Nov
    12
    Sat
    12:28pm
     
    12

    oh and 7i) can i say that 1 of the assumptions is to assume that the calls are independent of one another?

  13. Anonymous's Avatar
    Anonymous  commented in tuition class


    2011
    Nov
    12
    Sat
    7:37pm
     
    13

    In my opinion it is one of the more difficult year so the A should be about 70-73 prolly:) don't worry if u get 70 and above

  14. Mac's Avatar
    Mac commented in tuition class


    2011
    Nov
    13
    Sun
    9:25am
     
    14

    For 12iii) can't you do E( 35+X-Y) where 35+X-Y is the people left in the queue? And Qn11i) is it possible to do R~B(10,0.6) then find P(R=4)?



    • 2011
      Nov
      16
      Wed
      9:15pm
       
      14.1

      @Mac: For Q12(iii), P("at most 11 people left the queue overall by 0945") as described in the suggested solution vs P("at least 24 people in the queue by 0945") yields the same outcome.

      I suppose your workings is as follows, in which case is fine:

      X ~ Po(27) → X ~ N(27, 27) approximately
      Y ~ Po(18) → X ~ N(18, 18) approximately

      No. of people in queue at 0945,
      W ~ N(35 + 18 − 27, 18+27)
      W ~ N(26, 45)
      P(W ≥ 24) ≈ 0.617 (3sf)

      As for Q11(i), this is actually a question on Permutations & Combinations where P(R = 4) is the probability of getting a combination of 4 women in the committee of 10 (18C4 × 12C6), out of every possible combination of choosing a committee of 10 from 30 people (30C10).

      If you do B(10, 0.6), P(R = 4) would then refer to the probability of picking a woman 4 times out of 10 independent tries. This scenario is different from the first and will give you a different answer which will result in you having difficulty in proving part (ii).

  15. karl's Avatar
    karl commented in tuition class


    2011
    Nov
    15
    Tue
    7:03pm
     
    15

    my math teacher once told me that there is no bell curve for math. because too many people do well..he and i may be wrong. oh well, this is def more difficult than last year's. I'm between 70-75 hope i get an A. I NEED THE A...like i have the right to dismiss everyone else because i got a conditional offer from UK. HAHA, everybody, good luck!

  16. weng's Avatar
    weng commented in tuition class


    2012
    May
    29
    Tue
    2:09am
     
    16

    hmm, are the question paper be uploaded too

  17. weng's Avatar
    weng commented in tuition class


    2012
    May
    29
    Tue
    2:09am
  18. Jess's Avatar
    Jess commented in tuition class


    2012
    Nov
    7
    Wed
    1:41pm
     
    18

    Hi, when will the H2 maths 2012 A Level answers be out?

    Thanks!

  19. Joey's Avatar
    Joey commented in tuition class


    2012
    Nov
    7
    Wed
    2:07pm
     
    19

    Hi, will you guys upload the answers for this year's H1/H2 math papers? Thanks so much!

Post a Comment

  • * Required field
  • Your email will never, ever be published nor shared with a Nigerian banker or a pharmaceutical company.
  • Spam filter in operation.
    DO NOT re-submit if your comment doesn't appear.
  • Spammers often suffer terrible fates.
*
*

Impress Miss Loi with beautiful mathematical equations in your comment by enclosing them within alluring \LaTeX [tex][/tex] tags (syntax guide | online editor), or the older [pmath][/pmath] tags (syntax guide). Please PREVIEW your equations before posting!

CommentLuv badge
 

 

Whatsapp Instagram Twitter Facebook Close Search Login Access RSS Joss Sticks Sessions Suggested Solutions Preview O Level Additional Mathematics O Level Elementary Mathematics Secondary Three Additional Mathematics Secondary Three Elementary Mathematics Secondary Two Mathematics Secondary One Mathematics Additional Mathematics 4038 Additional Mathematics 4018 Elementary Mathematics 4017 Virus Zoom