2016 A-level H2 Mathematics (9740) Paper 2 Suggested Solutions

All solutions here are SUGGESTED. KS will hold no liability for any errors. Comments are entirely personal opinions.

Numerical Answers (click the questions for workings/explanation)

Question 1: 0.0251 \text{~m/min}
Question 2: \frac{x^2}{2} \text{sin}nx + \frac{2x}{n^2} \text{cos}nx - \frac{2}{n^3} \text{sin}nx + C;~ a = 2 \text{~or~} 6;~ \pi (\frac{2}{5} - \text{ln} \frac{3}{\sqrt{5}})
Question 3: a + \frac{3}{4} - \text{sin}a - \text{cos}a + \frac{1}{4} \text{cos}2a;~ \frac{1}{4}(\pi + 1)^2
Question 4: z = 2.63 + 1.93i, ~ 3.37 + 0.0715i ;~8^{\frac{1}{6}}e^{i(-\frac{\pi}{12})}, ~8^{\frac{1}{6}}e^{i(-\frac{3 \pi}{4})}, ~8^{\frac{1}{6}}e^{i(\frac{7\pi}{12})};~ n=7
Question 5: \frac{11}{42};~ \frac{4}{11};~ \frac{4}{1029}
Question 6: 60;~ 10;~ \{ \bar{x} \in \mathbb{R}, 0 \textless \bar{x} \le 34.8 \};~ \{ \alpha \in \mathbb{R}, 0 \textless \alpha \le 8.68 \}
Question 7: 24;~ 576;~ \frac{1}{12};~ \frac{5}{12}
Question 8: r = -0.980;~ c = -17.5;~ d = 91.8;~ y = 85.9
Question 9: a = 7.41;~ p = 0.599 \text{~or~} 0.166;~ 0.792
Question 10: 0.442;~ 0.151 ;~ 0.800;~ \lambda = 1.85

 

Relevant materials

MF15

KSΒ Comments

Showing 363 comments
  • Gong Chen yue
    Reply

    Q4 no need to find z1 z2

    • KS Teng
      Reply

      Yup, noted. cos was still solving a bit.

      • S~
        Reply

        Hi , if i did not permute 3! for women in PnC qn 1st part , but used this value in my subsequent part , will there be ecf ?

        • KS Teng
          Reply

          Math have no ecf, unfortunately. You will still get method marks if you did explain what you were doing, in words

  • EZ
    Reply

    Hey I think the solutions section is linked to p1

    • KS Teng
      Reply

      because the same source code was used. so i’m just updating the solutions from there.

  • Yy
    Reply

    Hi there, if I didn’t find the probability for 7(iii) and 7(iv) but just the number of arrangements how many marks will I get? Thank you:)

    • KS Teng
      Reply

      just lose 1 mark for the answer mark. each.

      • Nelly
        Reply

        If I took the wrong point for qn 8 is everything wrong?

      • Yy
        Reply

        even if i didn’t include 9! ? thank you:)

  • Amos
    Reply

    Why ur paper 2 answer is paper 1

    • KS Teng
      Reply

      because the same source code was used. so i’m just updating the solutions from there.

      • EZ
        Reply

        Aight, just realised. Thanks for your hardwork and effort!
        Just wondering if anyone will do up the p3 for chemistry?

        • KS Teng
          Reply

          Nope, Eric is on vacation. Sorry

  • K
    Reply

    Hmm solution for q1 says 0.0251 but answer is 0.0252.. some discrepancy there

    • KS Teng
      Reply

      my bad. thanks for pointing it out!

  • S
    Reply

    Hi, I got 80 marks for Paper 1 and 63 for Paper 2. Guess my grade.

    • S
      Reply

      I mean 60 for paper 2 , 80 for paper 1

      • K
        Reply

        A

      • Andy
        Reply

        What grade did you get in the end? Cuz I wanna see the bell curve. All the best!

        • S
          Reply

          A

    • HerbertChia
      Reply

      Based on the comments of your peers I think the bell curve ought to be pretty similar to that of last year so I’m afraid you’re at a borderline B. Don’t be discouraged though, work hard for your other papers!

  • mathmajor
    Reply

    Hi I think your question 8 c, d and y values are wrong

    • mathminor
      Reply

      @mathmajor: I suspect you forgot to remove the anomalous point?

      • EZ
        Reply

        What are your values? I think you might have forgotten to remove the anomalous or removed the wrong data

        • mathmajor
          Reply

          I think I removed the point.. my y value was around 77.something. my r value was the same as his

          • KS Teng

            if you keyed into GC, you probably forgot to key in as x = \frac{1}{3}

    • Nomoremath
      Reply

      Its correct

  • Kevin
    Reply

    Isn’t the unit for Qn1 : m min-1?

    • KS Teng
      Reply

      my bad. cos rushing to solve the questions

  • YJ
    Reply

    Hi, thanks for the ans as usual. What mark range for combined p1+p2 would you suggest for an A grade? Thanks!

  • Pls help
    Reply

    If I circled the wrong point, do i get method marks for the next few parts?

    • Pls help
      Reply

      Im referring to question 8, sorry.

      • Jacob
        Reply

        I dont think so, since there is no ECF.

  • Ainan
    Reply

    For qn 8 can I reject x=2 instead of x=3

  • Mm
    Reply

    Hi, if I write in decimals for q5 will I still be rewarded marks?

    • KS Teng
      Reply

      yea, they didnt ask for exact

  • Jahnotahn Yoe
    Reply

    Good afternoon, for q4 can i use root 2 instead of 8 to 1/6 power? and for 2b can i leave it at 2nd last line except remove negative sign

  • Wondrous
    Reply

    For question 6, for both sets of values, I wrote that they are subsets of R+, and then carelessly wrote that they are less than or equal to 0 for the lower limits. Would I lose the answer marks for both of these parts?

    • KS Teng
      Reply

      \{ \alpha \in \mathbb{R}^+, 0 \le \alpha \le 8.68\} this? its okay.

      • Wondrous
        Reply

        Yup I wrote that! Oh kk! Thank you very much!

  • Euphoria
    Reply

    Hi what if igot 0.0250 for qns 1? How many marks will they deduct?

  • cold
    Reply

    Hello, what do you think the cut off for an A would be, considering both papers? Thank you for posting the answers so quickly!

  • 1998kid
    Reply

    How come 5 part 3 no need X6 for the number of cases?

    • KS Teng
      Reply

      i left it out accidentally while typing. but final answer no change.

  • Euphoria
    Reply

    For 6iii, if i wrote ans as x<34.8 but didnt write the 0<x part how many marks wil i lose?

    • Jacob
      Reply

      one for the answer mark

  • Mel
    Reply

    What if for qn 7 (iii) and (iv) you did not realise that they are asking for probability? Then you just put the number of ways to arrange?

    • KS Teng
      Reply

      you lose 1m for the answer mark. each.

    • Euphoria
      Reply

      LOL thats what i did too! I weote 30240 for 7iii supposed to divide that by 9 factorial. But idk how do 7iv

  • Jacob
    Reply

    All the answers look correct

  • danielhuzil
    Reply

    77 for p1…67 for p2…any chance at all A or is even B too much to ask?

    • Jacob
      Reply

      possible borderline A. Depending on your peers.

    • Euphoria
      Reply

      Whoa what jc are you from and do you usually score A for math in exams?

      • danielhuzil
        Reply

        Im a private candidate! Scored A last year but no time study this year cause of NS. Retaking cause H2 icons i got U

        • Jacob
          Reply

          good luck for econs on wednesday. suspect it will be novel

          • danielhuzil

            Thank you. Btw are you a fellow candidate?

        • Heyx
          Reply

          Just asking, if i want to retake math, must i retake all my subjects for entry to uni?

          • KS Teng

            Yes. Minimum 3H2 + GP for entry to local Uni.

          • Heyx

            Hi but what if i scored A for everthing excpt math and i wanna just retake math? Must i do all my subjects again the next year or just for math alone

          • KS Teng

            sorry. But you can’t do that. For entry to local Uni, they look at the cert as a whole. You will need to retake at least 3H2 and GP. A cert with just h2 math as the single subject is useless, even with an A.

  • Tan
    Reply

    Question 5 iii) no nid to multiply by 6? Bc there are 6 cases of RBY,RYB,YBR,YRB…..

    • KS Teng
      Reply

      need. I forgot to typed it. but the final answer is still correct.

  • Natalie
    Reply

    Hi, thank you so much for uploading the solutions. May I ask if we chose the wrong outlier in Q8, around how many marks will be lost?

  • help
    Reply

    7 (i) (ii) why do u need to multiply by 3! ?? the order women are chosen doesnt matter i thought?

  • hi
    Reply

    For qn 8iv, if I removed the wrong point and used that value to calculate the c, d and r, are there any marks given?

  • Jacob
    Reply

    How does KS find this paper?

    • KS Teng
      Reply

      The pure math was tedious. Finding z for the complex requires student to use GC instead of drawing triangles, something I guess they aren’t used to. Finding the equation of bisector need them to realise it cuts the centre. Last part for complex is tricky as some might forget to check for the positive part. Stats is pretty okay. Sampling was a bit dubious with 6599. PnC was easy but I reckon a handful of students did not see the word probability and paid 2 marks for that.

      How did you find it?

      • Jacob
        Reply

        i think many ways to solve the complex-tedious way can be you just find all the different equations and then calculate intersect

        but good use of gc’s equation solver helped greatly (even for last question)-eqn solver is magical

        overall slightly more novel (with the roulette style probability question) but manageable with all the hypo 0 tricks

        But i thought it was slightly harder than previous years (since previous years it was almost all straightforward questions)

      • Scared
        Reply

        Omg yes I’m one of them. How many marks will be gone if never do probability but did the pnc only

        • KS Teng
          Reply

          you will just lose 1 mark for the answer. each

          • Scared

            Omg thanks means I got chance to get 80 for paper 2!

  • Jan
    Reply

    Hi why can’t the outlier by x =5?

  • 1998kid
    Reply

    For 7 why does order matter? I thought is just how many ways to select the group of 3

    • Jacob
      Reply

      but the 3 women can be different positions-chairperson/treasurer etc

      • help
        Reply

        but they didnt talk about their positions?

        • Jacob
          Reply

          logically speaking its important

  • Hi
    Reply

    Why is the qn6iii and I’ve < I thought they wrote it is accepted so not rejected?

    • Hi
      Reply

      As in the question wrote accepted so I thought it meant that the answer is not rejected? Because my answer was in the opposite sign

    • KS Teng
      Reply

      It is a similar question in H1 this year. his claim is \textless 37, to accept his claim, we need to reject = 37 and >37. Since
      H_0: \mu = 37
      H_1: \mu \textless 37
      We need H_1 to be accepted, so H_0 has to be rejected.

      • Hi
        Reply

        Oh no do you think I would minus all the marks for that question?

        • Jacob
          Reply

          some give you for defining terms and test statistics

        • K
          Reply

          Hais yeah i made the same mistake as you did πŸ™

          • Hi

            Do u think it’s possible to get an A if I got an Andrade of about 77? πŸ™

          • KS Teng

            I think should be fine. But it’s borderline. No careless then okay. πŸ™‚ All the best for other papers

  • K
    Reply

    Hi, ‘KS Teng’, can u guess what is the min A grade? It’s okay to get this wrong πŸ™‚ Not graded. To satisfy our curiosity

  • WQ
    Reply

    Got a 70 for Paper 1, 85 for Paper 2.. do you think it’s a safe A or will I drop to a B?

    • Euphoria
      Reply

      Omg what jc are you from and do you usally score A?

  • The God of Math
    Reply

    Hi, i only did the pure math part. Will i still get an A?

    • mathmajor
      Reply

      Why did you not do statistics?

      • Jacob
        Reply

        50 for pure math, 100 for p1 thats 75 bro.

        • mathmajor
          Reply

          It’s 40 for pure math lol

    • TT
      Reply

      I don’t think so unless your paper 1 u got full marks?

    • jack
      Reply

      Thanks for the bell curve bruh

  • eliel
    Reply

    Hi KS! For qn 8 what if I circled x=5 instead of x=3? Do I lose marks for the entire question?

    • Euphoria
      Reply

      Then u will remove the wrong point and all your answers will be wrong. They will only minus answer mark.

      • confused
        Reply

        so explanation marks will have? ;P

      • hi
        Reply

        so explanation marks will have?

        • Jacob
          Reply

          it depends how lenient they are. But i suspect since many people in singapore made this mistake, they wil adjust accordingly

  • confused
    Reply

    for qn8 if we circle the wrong point, wil the explanation for ii and iii be awarded? it seems like it is independent of the point circled

    • eliel
      Reply

      the thing is that when you remove the wrong point, your answers for iii and v will be different :/ which point did you remove?

      • confused
        Reply

        1st point ); but my c is negative and d is positive too. and the graph didnt follow the linear relationship as they stated

        • confused
          Reply

          as in the part ii and iii where they ask u to explain but dont need to quote any values

          • mathmajor

            How come it isn’t the first point which is the outlier? The first value is so off

          • Shaiwoodley

            IKR the first point was off

  • Dogdog Dogcat
    Reply

    Assuming paper 1 I got 77 paper 2 I get 73 do I still have a chance u get A ?

  • Nick
    Reply

    Hi for qn 8 i didn’t remove the anomalous point for the calculations. How many marks will i lose

    • Quine
      Reply

      4 marks. I didnt too.

  • JY
    Reply

    Thank you so much for the answers and the efforts, really appreciate that. Btw if I circled the point wrongly for the regression line question, will the whole question be wrong?

    • KS Teng
      Reply

      I believe the explanation can get marks. unfortunately, math has no ECF

      • confused
        Reply

        ii and iii will have? but the rest wont be awarded?

      • JY
        Reply

        But for c and d even though I circled the wrong point I still got the values correct, will that be wrong? Thanks!

  • T
    Reply

    Hi if I did not remove the anomalous point is everything wrong :9

  • mathmajor
    Reply

    For qn 8, if you accidentally removed the first point instead, do you still get credit for the remaining parts? And how come the first point is not the outlier? The first points is way too off

  • sadddddd
    Reply

    hi!! thank you so much for the answers and solutions! much appreciated πŸ™‚
    can i ask, if i forgot to exclude the outlier, does that mean there’ll be no ecf and thus 0 for the subsequent parts?TT_TT

    • KS Teng
      Reply

      the written answers still have marks.

      • Euphoria
        Reply

        Hi i forgot to exclude the outlier too, but since c,d,r are all based on GC answer, does that mean all 3 are wrong? And v will be wrong too?

  • sttt
    Reply

    Hi! For question 6(iii) and (iv), if the arrow is wrong, assume all else correct, how many marks would i be penalised, out of 7?

  • Nick
    Reply

    Hi for qn 8 if i didnt exclude the outliers will i only lose the answer mark for each part?

    • Jacob
      Reply

      the mark for the questions goes too mostly the answer mark. for exp, your c, b, r will all be different

      • Nick
        Reply

        So 6 marks gone?

      • Dead
        Reply

        Hi i scored 107 overal do you think i can get a C?

  • john
    Reply

    Can anybody explain why isn’t the first value the outlier???

    • K
      Reply

      This is because the first point still follows the general trend. The equation of the curve is best suited to a y=c/x +d. An outlier doesnt follow the general trend of the curve, in this case a converging curve. Hence x=3 is most probable, although x=4 may be arguable as well.

      • john
        Reply

        What cause I thought the first value is the furthest away from the other values..

  • K
    Reply

    For question 4, you assumed the equation of the line bisector will pass through the center of the circle. Wouldn’t it be better if you had use the point of origin instead?
    Thus y=-2.5x

    • irene
      Reply

      If u drew the argand diagra right, the bisector passes through the centre of the circle, it doesn’t pass through the origin

      • K
        Reply

        The thing is u cannot just assume based on your drawing. What is confirmed is that the line will pass through (0,0)

        • irene
          Reply

          It cant pass through the origin because the circle is on the right of the y axis and above the x axis and the bisector is downward sloping. I drew mine accurately using 2cm for every unit on the graph paper so it passed through the centre of the circle perfectly. If you’ve done many complex number qns, this is a technique required or else u wont be able to solve the question.

          • K

            Yeah i misinterpreted the qn and used the equation of the circle and equation of line representing arg(z)=alpha πŸ™

      • K
        Reply

        Oh nvm i misunderstood the question! Thanks!!!

    • Bryan
      Reply

      The equation is a normal. Not tangent.

  • irene
    Reply

    Hi, can i ask is the paper 2 tougher than paper 1? It seems that many did better for P1 than P2. Also, I got 70 for Paper 1 and 82 for Paper 2 so the average is 76. Is that still possible to achieve an A? Previously, you’ve mentioned that an A usually required 78 and above. Thanks! πŸ™‚ and thanks for uploading the answers so promptly too!

    • Euphoria
      Reply

      Ya i think u will get an A. Do you always score A for math? Do you happen to be a fellow Rafflesian too ^^

      • K
        Reply

        I guess i will be the few rafflesians without an A πŸ™ I got like 70 for both papers…

        • lollipop
          Reply

          National distinction rate is about 50% though so don’t lose heart

        • Heyx
          Reply

          If i got 67 for p1 and 63 for p2 can i still get a b?

  • Lim
    Reply

    Why isn’t the outlier x =5?

  • Alice
    Reply

    If we circled the wrong point is there ECF?

  • Z
    Reply

    If I gt >55 for p2 and arnd 70 for p1, is it still possible to gt B? ._.

  • Hmmm
    Reply

    Hi For the complex no qn last part n=7 what if i misread qn for 2 smallest values and i say 1st n=7 and 2nd n=15? Any marks deducted? Thks!

  • aaaaaaaaa
    Reply

    What are your thoughts for this paper? What do you think the bellcurve will be like?
    I made too many careless mistakes :'(

  • 1998kid
    Reply

    If I never draw the argument to scale will I lose marks for the entire question?

  • aabcde
    Reply

    Hi KS just curious, what do you base your estimates for the min. number of marks to get A on? πŸ™‚

  • Cries
    Reply

    Hi may I know the range of marks to get for a C?

  • Darren
    Reply

    @danielhuzil maybe you could get an A for icons if you learn to spell it πŸ˜›

  • Lisa
    Reply

    Hi may I know is it possible to get C with 105/200? Thanks

  • B
    Reply

    Hello if I get 72 for paper 2 and 68 for paper 1 what grade will I get?

    • Live and Love Your Life
      Reply

      Probably an A

    • test
      Reply

      probably same grade as your name m8

  • asdfghjk
    Reply

    Hi I circled the wrong outlier will my values for c,d and r be marked wrong???

  • sigh
    Reply

    Hi for Qn4, I carelessly wrote the arg for w as it’s conjugate. But the calculations were all right. Do you think the entire qn will be marked as wrong, including ii? Thank you so much for the answers btw!!

    • KS Teng
      Reply

      Pleasure. You will still get the method marks. Should lose about 2 marks though.

  • carelessssss
    Reply

    How many marks will I lose if I forgot to exclude outlier for parts (ii) to (v)? πŸ™

    • Z
      Reply

      prob 4 marks if u explained correctly

  • Ryan
    Reply

    Hi, for questions 6, if my variance is wrong ( I went to find unbiased estimate) , how will it affect my marking for iii and iv?

    • KS Teng
      Reply

      You should still get marks for your hypotheses stated well, and method. Your answers will be wrong though and you will lose the answer marks

  • Jacob
    Reply

    I believe the reason why the first point cannot be the outlier is because you will have problem explaining reliability later on (since you dont have a proper data range!)

    • xxx
      Reply

      Hi πŸ™‚ will 130/200 guarantee a B?

      • KS Teng
        Reply

        That will. Good luck for the rest of your papers!

    • KS Teng
      Reply

      That’s true

  • Jeremy
    Reply

    Hi, is it ok if I give an exact answer for qn 1 and 4a2 thanks

  • J
    Reply

    Hi, for q8, removing x=1 will enable the |r| value to be closer to 1, so shouldn’t it be the answer? Thanks.

    • KS Teng
      Reply

      I think removing it causes the r value to worsen.

  • KW
    Reply

    Hi Sir, is overall 75/76 safe for an A?😱

    • KS Teng
      Reply

      Safe as in guaranteed? Not really. You just have to see how the bell curve treats you.

  • 17x
    Reply

    How is hypothesis testing marked? Will I get 0 marks if I got H1 wrong from the start? As in I put > instead of <…

  • 17x
    Reply

    How is hypothesis testing marked? Will I get 0 marks if my H1 is wrong from the start?

    • KS Teng
      Reply

      The test in general has marks. But in this case, it’s really up to your presentation as there is no need to use any test statistic (no fault in stating though).

  • yj
    Reply

    I got around 74 for paper 1 and 87 for p2. Do you think it is a safe A ?

    • KS Teng
      Reply

      Yup
      Good job and all the best for your other papers!

  • Helpme
    Reply

    How much do I need to get a C??

  • Why is the outlier not 1
    Reply

    Hi KS may I ask why is the outlier not 1? It is really far off from the other points. Also will I be awarded any marks if all I did was draw a perpendicular bisector in 4ii?

    • KS Teng
      Reply

      Bisector got no marks. They didn’t give marks for finding them.
      Outlier is at x=3, partly due to the last part of the question (this is some hint). The other reason is observed if you calculate the r value when you remove the point x=3 and x=1 respectively.

      • Why is the outlier not 1
        Reply

        So the outlier is x=1 and not x=3?

      • john
        Reply

        Hi if you remove x=1, then the answer would have been different from yours..

      • J
        Reply

        So is the outlier at x=1 or x=3?

  • J
    Reply

    for the PnC question if i forgot to multiply 3! for all the parts. will there be method marks if my methods are correct? thanks

    • KS Teng
      Reply

      If they see lenient, 1 mark. Cos this should be under the method mark too.

  • help
    Reply

    Hi why can’t x=5 be the outlier? And my answers were only arnd 0.02 different from urs for c,d and r so how many marks will I lose? Thank you for the answers btw!

  • Jiahua
    Reply

    Hi for your question 9c) working, you forgot to include 100 as the upper limit. (I.e. W is between 30 to 100 inclusive as there are only 100 questions). While the answer when rounded off will still be the same, since it is a 4 mark question, I think they might penalise for the missing working.

    • KS Teng
      Reply

      TBH, that’s fine. Cos when you approximate, the variance gets sufficiently small actually. πŸ™‚

  • crei
    Reply

    For qn 4, if I carelessly wrote |w| to be 8 instead of sqrt(8), and my cube roots are 2e^(i…) (the arg of the three cube roots are correct), do I lose all the marks for that part?

    • KS Teng
      Reply

      Can still get 1 mark for the method of +2k \pi and listing out all.

  • K
    Reply

    For 7i, if my ans is wrong. My ans is 4.then , for 7ii, if I write probability= No restriction -No men (same mistake)- 4. Do I get marks for 7ii?

  • Y
    Reply

    I got 75/100 for paper 2 and 85/100 for paper 1.

    Did negative marking tho… like if I got an ans wrong i’d deduct everything

    Will I still get an A?

    Seriously damn demoralised after today’s paper bc I heard A is quite high? πŸ™

    • KS Teng
      Reply

      Definitely! All the best for the other papers!

    • Hee
      Reply

      I think u did damn well?! Why will you be worried. Your average is 80! And is even higher if you factor in method marks.

    • glen coco
      Reply

      are you trying to rub it in or you simply cannot phantom that an average of 80 would give you an A that you need to confirm it?

      • KS Teng
        Reply

        I think she means no malice. It’s fine to have such concerns as there as a handful of students that find this paper more than manageable. Her concern is understandable πŸ™‚

      • 1998kid
        Reply

        Yea rubbing it in and showing off

  • Janey
    Reply

    For the P and C question if i didnt find the probability and only found the no. of ways how many marks will I be deducted? I feel like Im too strict with myself. I deducted 4m out of 6m in my own working.

    • KS Teng
      Reply

      You lose 1 mark for the answer mark. Each

      • Jeremy
        Reply

        If u didn’t times three for 7(ii), how many marks will u lost? Thanks.

      • Dogdog Dogcat
        Reply

        for question one, if I solve for dr/dt instead of dh/dt do I still have method mark or zero? If I have method marks how much would it be?

  • R.
    Reply

    Hi I have about 85 for Paper 01 and 77 for Paper 02 (without method marks taken into consideration) based on your expected bell curve can I get my A?

    • KS Teng
      Reply

      Definitely! All the best for the rest of your papers!

  • A
    Reply

    So outlier as x=1 is correct?? But my values are different though.. Quite worried as might lose 6 marks worth due to that…

  • Grace
    Reply

    Hi KS, i forgot to write ‘approx by CLT’ for the first part of HYPO testing… why i be mark down for tt?

    • KS Teng
      Reply

      this really depends on how you do the question. i didnt introduce Z test statistic at all, so I was using my \bar{X} distribution, thus there is a need to tell them how i derive my distribution.

  • Potne
    Reply

    If I got 74 for paper 1 and 63 for paper 2, do you think I can get A or will I even get B?

    • KS Teng
      Reply

      Sorry. But A will be really hard, unless you underestimated your score and got those numbers by not giving yourself method marks. B should be fine

      • Potne
        Reply

        Hi, thanks for the reply!
        Is there any marks given for defining RV and u(in hypo)?
        Also, I calculated mod r wronglying but my argument is correct for ques 4. Will I get 1 marry for it?

        • Potne
          Reply

          *wrongly
          *mark

        • KS Teng
          Reply

          i dont think there is marks for the definition or rv and \mu, since they didnt say define the variables you used. Its just presentation. you mean for writing w? its just writing, so i think thats 1 mark for getting it right. you probably have 0. but if your roots finding steps are correct, you can find 1 mark there.

          • Potne

            Thanks Mr Teng!

  • Quine
    Reply

    Hi, if i got 71 for p1 and 62 for p2, will it be a guarantee B? Cause i heard this year’s math not many found it easy

    • KS Teng
      Reply

      Really depends on who you ask and where you ask. And yes, B should be fine

  • K
    Reply

    Overall 75 is A or B?

  • Seksman
    Reply

    Hi just asking, what if for qns 1 my V forget to put pi but all working correct except final ans and the h (cause missing pi) how many marks lost

    • Jacob
      Reply

      all working gone since you started out without pi

      • Seksman
        Reply

        I think only the final parts I didn’t put the pi

  • :(
    Reply

    Hi I got 84 for p1 68 for p2 will that be good enough for A? Thanks

    • KS Teng
      Reply

      I think might just be a bordering case of very high B or borderline A

  • N
    Reply

    Hello I think you integrated qn 2ai wrongly?? The 2nd term should be (2xcosnx)/n^-2??

    • N
      Reply

      In the solution with working

    • KS Teng
      Reply

      Yes. My bad. Typing error. Had to do by hand and type it out. Sorry bout it

  • Lisa
    Reply

    Hi!! I would like to clarify if I can leave my answer for 2b as the one before your final answer. Thanks!

    • KS Teng
      Reply

      I think that shouldn’t be a problem

  • Xavier
    Reply

    OMG, I just realised I forgot to exclude the outlier, may I know how many marks will I lose? Will they award method marks still for the following parts if my method used is correct?

    • KS Teng
      Reply

      there is no method marks there. just answer marks for c, d, r-value. unless you calculated them manually… you should get marks for the explanations

  • Sst
    Reply

    If I got 69 for p1 and 79 for p2 would I get an A or B?

  • J
    Reply

    Hi will I penalised if I used Z+ as the set notation instead of R for hypothesis testing?

    • KS Teng
      Reply

      yes. they mean very different things.

      • J
        Reply

        In that case is it safe to say that only the answer mark will be deducted from each part of the qn that requires R assuming everything else is correct?

        • KS Teng
          Reply

          yes

          • J

            Okay thank you for the help

    • KS Teng
      Reply

      Yes, they are very different things

  • :/
    Reply

    Hi, may i know what do you think the min marks will be for a B? I screwed up. πŸ™ ~60 for p1 and 75 for p2

  • James
    Reply

    Hey there Mr Teng, for 1 and 2(b) i didn’t get the final answers but my methodology was exactly the same as you, would I still be awarded credit? Also, for my Correlation and Regression, I didn’t exclude the outlier before I calculated R, c and d, would I get 0 that 3 marks and the subsequent last part? Thanks for your constant efforts to provide timely answers! Cheers!

    • KS Teng
      Reply

      I think you will still get marks for methods, though it is hard to say how much as we do not know how much you’ve written or shown.
      You’re supposed to remove the outlier, as stated in the questions, you might lose credit for the values of c, d and r-value. The same for the estimate, since all these are purely answer marks. You should get marks for your written explanations.

  • Alexandra
    Reply

    isn’t tan alpha = h/r for question 1?

    • KS Teng
      Reply

      the question said that \text{tan}\alpha = 0.5

    • Xavier
      Reply

      tan a is r/h not h/r…

  • Hmmm
    Reply

    Hi, can I ask for q6 last part does it matter if we exclude 8.68? Cos if p-value=significance level means null hypothesis still rejected.
    Oso sry for bringing up a previous qn. For the complex no qn last part n=7 what if i misread qn for 2 smallest values and i say 1st n=7 and 2nd n=15? Any marks deducted?
    Thks!

  • Nicole
    Reply

    for question 6(iv), if you didn’t leave the alpha in terms of percentage, how many marks do u get? i left mine at 0.0868

  • sherlock
    Reply

    Hi is it true that the national distinction rate is about 50% ? Doesn’t that mean that to get A you don’t really need a very high score?

    • KS Teng
      Reply

      Bell curve, I quote from Cambridge, is described as, “The grading for A/O levels is comparable to judging a student’s ability to swim 100 metres. If a student has evidently shown that he has been able to clear the 100 metres, that student will get the ‘A’ regardless of the number of people who are able to swim around the world.” So it is hard to say a very high score is need. H2 Physics is 40-45% distinction. O’levels E Math is also 50% distinction.

      • no
        Reply

        that being said, the cut off for A should maintain at 70, and not 77 as it has been suggested in the above thread

        • KS Teng
          Reply

          technically, if you put school distinction rate against national distinction rate, you will get a very different graph which suggest a very mean score. bell curve ensures students dont fail and the A deserve their A and Bs deserve their Bs.

      • Rebecca
        Reply

        I heard from my math teacher that the number of As awarded is predetermined by the examination board and that they are likely to award more As in mathematics and physics due to the lack of engineers in Singapore haha.

  • lol
    Reply

    hi! i am a student from hci. guys please relax and jiayou for the papers ahead !! a lot of my peers and i in fact, found the paper quite tough tbh!! more difficult than the past year papers and this year’s paper 2 pure math was definitely more challenging πŸ™‚ point is, there really isn’t any use in knowing where you stand/ whether you can get your a for math i guess. because no one knows how the entire cohort is going to fare right πŸ™‚ let’s just jiayou and focus on the remaining papers!!! and continue to have faith!!!

    • Kylie
      Reply

      But HCI even when they say it’s tedious a majority will score 80++ I’m pretty sure
      You guys are just plain smart I matter how tough or time consuming you guys will still score very well πŸ™

      • Jacob
        Reply

        no la, theres just a large divide perhaps some people will consistently hit, while others don’t. Nobody is plain smart you can still make many careless mistakes.

      • Potne
        Reply

        Since top tier schools like hci, rI, vjc,njc… have majority (abt 80%) of their students get A for math, the rest of us need some assurance for grading lol.

  • R
    Reply

    Is 60 (average of both papers) a possible B? I had really bad time management for this paper ): thank you!

    • K
      Reply

      Same πŸ™ for p2 i didnt do the last qn hais and it was so easy too….

    • Kylie
      Reply

      Probably a C

  • Ggforalevels
    Reply

    How marks do you need to obtain a E grade?

    • Ggforalevels
      Reply

      If i got 40 for paper 1 and 60 for paper 2, will i be able to pass? I am so screwedd😭

    • Kylie
      Reply

      I got E grade last year. I calculated avg 50% for both papers :/

      • K
        Reply

        Not v accurate to say that!! Dont lose hope.. moreover this paper seemed harder to everyone so hopefully it all turns out well!!

        • Kylie
          Reply

          Well last year was apparently a “very tedious” paper as well compared to 2014 and below.

          • KS Teng

            every year, students think theirs is the hardest. :/

  • mm
    Reply

    Hi if i made a careless mistake in 1 by writing r=2h , subsequently everything is right (according to r=2h) except for ans mark will i lose everything???)-:

    • KS Teng
      Reply

      you might lose 2 marks. the method for the substitution too.

  • Mathguest
    Reply

    we can actually use complement for 7(iv)

    Probability = 1 – {C, S, T together} – {any two of C, S, T together}
    = 1 – \frac{1}{12} (from (iii)) – (3C2 x 2! x 7C2 x 2! x 6!)/9! = 1 – 1/12 – 1/2 = 5/12

    • KS Teng
      Reply

      yes, but this seems to be a lot more work!

    • Ki
      Reply

      Damn I tried doing this method but got stuck halfway and didn’t do this part!!

  • john
    Reply

    Hi is an 85 for paper 1 and 72 for paper 2 enough for an A

    • Jacob
      Reply

      no point guessing. many things can happen during marking

  • xq
    Reply

    Paper 1 if I get about 60 and paper 2 about 70, am i likely to get a B or A?

    • KS Teng
      Reply

      think thats a B. sorry. All the best for your other papers!

  • lamlamb
    Reply

    Hi! For Q6(iii) hypo testing, I carelessly thought that Ho is not rejected and I put >0.05, my final ans was >34.8, but my values and method are all the same as yours. How many marks will I lose? Thanks!

  • P53 protein
    Reply

    Hi Mr Teng, i got 74 for paper 1 and 75 for paper 2 do i have a chance of getting the A? Thanks πŸ™‚

    • KS Teng
      Reply

      Hi, i think its thats a borderline. Either a high B or border A.

  • QR
    Reply

    Would 173/200 get me an A?

    • KS Teng
      Reply

      Definitely. All the best for the rest of your papers!

  • nono
    Reply

    Hi, if i got around 80 for both paper 1 and 2, how would I fare? Thank u so much for your answers btw!

    • KS Teng
      Reply

      i think if you got above 80 for average, you’re very safe. πŸ™‚ and its my pleasure. all the best for your other papers!

  • Mathh
    Reply

    For the complex qn (4aii) values of z I thought it was just the modulus so I gave the length only πŸ™ how many marks would be deducted? Thank you πŸ™‚

    • KS Teng
      Reply

      but they didnt ask for modulus at all. i think you might not get any marks.

  • Is 76/100 an A?
    Reply

    Hi KS, may I ask if for question 2b, instead of du/dx, i went to find dx/du by making x the subject is that ok? However I made some careless mistake along the way I ended with [root(9-u)]/u^2) instead of your (9-u/u^2), how many marks will I receive for this question?

    • KS Teng
      Reply

      thats perfectly fine. you might end up with 1 – 2 marks.

      • Is 76/100 an A?
        Reply

        Out of 5?

        • KS Teng
          Reply

          because your method for the integration is gone. unless somehow you integrated the correct expression. :/ Math has no ECF, as precision is one of the mathematical skills we look to test.

  • s
    Reply

    Hi Mr Teng, is it true that every year you are teaching Math, the national average distinction is roughly 50% without much fluctuations?

    • KS Teng
      Reply

      yes, for 9740 h2 math. its been roughly 50% national average. but i believe in statistics, and what’s truly reflective is the school distinction rate. it tells more.

  • wahsian
    Reply

    hey i got 85 for paper 1 and about 81 for paper 2 ? are my chances of A gone since most people in those good schools will probably do very well.

    • KS Teng
      Reply

      definitely can get A. All the best for your other papers

  • justapotato
    Reply

    do you know the national average for H2 math for 2015?

    • KS Teng
      Reply

      was about 51%

      • justapotato
        Reply

        as in the score?

        • KS Teng
          Reply

          its 78/79, because i know a few borderline cases.

          • K

            What do u think is min A? 74? 75? 76? 77? 78?

          • jiayi

            50% of the nation scores above 79??

          • Is 76/100 an A?

            I’m currently at 76 :< sigh so close yet so far

  • yanzi
    Reply

    what’s the national passing rate?? pass is E grade right?

  • Jeremy
    Reply

    Hi, if I didn’t times three in 7(ii), how many marks will I lost out of the total three marks? ThaNs.

  • wahsian
    Reply

    thanks for the all the advice on this website , appreciate it

  • Nnnww
    Reply

    If my scatter diagram the anomaly point I circle wrongly then behind got ecf or not ah?

    • Re
      Reply

      Math got no ecf, you lose marks for R, D, C and circling the answer as well as the 1st part of last part. Abt 5 marks lost

  • A
    Reply

    For the scatter diagram i did not see the part that it needed to be drawn on graph paper, and drew it normally on the foolscap, but to scale. Will i get any marks?

    • Screwed
      Reply

      Hi if i scored 107 overall is that a D or C?…will bell curve help?

    • Ki
      Reply

      No, cause they said graph paper

  • 2 more weeks
    Reply

    Hi if of excluded the correct outlier but I forgot to circle it on the graph (lol) will just minus 1 mark right coz for the next few parts my values are correct, and if I didn’t leave to 3 sf but 5 sf instead will there be another mark lost ?

    • Heyx
      Reply

      If u didnt leave in 3sf then it will be wrong because the oaper expects it to be 3sf. You lose the answer marks

      • KS Teng
        Reply

        Yes, all non-exact answers to be in 3SF unless otherwise stated. Always tell my students to read the instructions carefully.

  • M
    Reply

    If i didnt use continuity correction how many marks will i lose

  • Delper
    Reply

    HOW DO YOU GUYS EVEN DARE TO CHECK THE ANSWERS? Aren’t you guys scared that if you find qns that you made mistakes in, you won’t be able to concentrate on other papers? I don’t understand how you guys do it

    • Alevels
      Reply

      Because on the other hand when u realise ur answers are correct u will be more confident in aceing the others😊 And knowing that u are doomed will also motivate u to study harder for the others right and not becoming too complacent. Anyway all the best for the remaining papers!

  • M
    Reply

    Hi im around a 77-79% right now is it likely if i get an A?

  • Eric
    Reply

    Hi Mr Teng, do you think Cambridge will accept x=5 outlier? Since the r value is actually 0.977, and the idea of correlation should allow for a notion of ‘best fit’, omitting x=5 actually still gives a 1/x trend. :/

    • Eric
      Reply

      I am also convinced that x=3 is the best candidate for a outlier, just curious as to is statistics so steadfast in forcing all data plots to fit a desired mathematical model. πŸ™‚

      • KS Teng
        Reply

        Yes. that’s actually under regression analysis.

    • KS Teng
      Reply

      This is debatable i guess. But I’m sure I can give you a valid reason. Just that I haven’t got a chance to try x=5. :/

  • Retarded
    Reply

    Omg i’m so so disappointed in myself because i can’t handle exam stress so my mind totally shut down during exam… my paper was pretty bad and i think i got around 75 for paper 1 and 60 for paper 2 bc i was so nervous argh. Will that give me a B thoooooo

    • KS Teng
      Reply

      I think you should get a B. Or maybe you were too harsh on yourself and minus all the method marks when you counted. don’t worry
      All the best for your other papers!

  • HRX
    Reply

    How many marks will u lose if u circled the wrong point and forgot to leave out the anomalous point?

    • KS Teng
      Reply

      You lose the marks for c, d and r-value. You also lose the marks for the estimation of y. Also the circle part. So that should be 5. Your written explanation will be eligible for marks

  • concern
    Reply

    Wad if my fren for ytd p2 qn 1 he did dvdr instead of dvdh? Will be minus everything? Cos his methods are all correct just that he screw up the variables

    • concern
      Reply

      And is 74 for p2 and 84 for p1 safe?

      • KS Teng
        Reply

        I think it’s fine for A
        All the best for the other papers!

    • KS Teng
      Reply

      That should be fine too actually. Since both r and h are variables, some of my students did implicit differentiation too. The final answer should be the same though.

  • gbzj
    Reply

    For paper 2, q4(a)(ii), I got the equation of the circle and the equation of the normal, but then didn’t equate them… how many marks can I get?

    for q4(b)(i), I got the modulus and argument of w, and I remembered to divide the argument by 3, but forgot to cube the modulus, how many marks can I get?

    for q4(b)(ii) I managed to get to the step (n-1)arg(w) = 0.5pi. but i couldn’t solve for n, how many marks can i get?

    For q8, I was super careless. I circled the 4th point in my graph, but then omitted the 3rd point in my workings…however, the value for d is the same as the ans (though my values of c and r) are wrong. Can I get 1 mark for my d value? and if i use these c and d values to get my answer for (v), will i be awarded the method mark at least?

    for q10 (iv), I got 0.80045, then at first i rounded it off to 0.8005 (4sf), then i rounded it off to 0.801 (3sf) though the correct ans is 0.800… will I be penalised?

    Many thanks for your patience πŸ™‚ We all appreciate your input and help very very much

    • gbzj
      Reply

      Hi KS just wondering if you saw my comment? πŸ™‚

      • KS Teng
        Reply

        Hi, I’m sorry bout that. I clearly overlooked it.
        P2Q4aii, with the equations, correctly found. You should get 2 marks
        P2Q4bi, should be 1 mark max
        P2Q4bii, should be 1 mark max
        P2Q8, you should get 1 marks for the d if it’s correct. As for the (v), it’s only 1 mark for the answer, so you won’t get any.
        P2Q10, yes the answer is wrong. You will lose the answer mark.

  • Jeremy
    Reply

    If I didn’t times three for 7(ii), how many marks will I lost? Thanks for answering.

  • Trio
    Reply

    For qn 5, how many marks will u lost if u didn’t times 3!?

    • KS Teng
      Reply

      For all the parts, you will get 1 mark for each parts I reckon cos it’s part of the methods necessary

  • Fml hate alevels
    Reply

    Hi would saying the population size is too large for 6bii get me any marks? Also is 76/100 likely to be an A?

  • concerns:(
    Reply

    similar to the comment above, i did the wrong substitution for question 1 and calculated dr/dt instead of dh/dt, the answer i got was 0.0125 (exactly half). i am sure that i did the differentiation and subsequently calculation correctly. will i be awarded any marks at all?

  • worried
    Reply

    For 4ii) do you still get method marks for finding Z1 Z2 instead? :/

    • KS Teng
      Reply

      It’s irrelevant though. Shouldn’t be a Margie part.

  • Jeremy
    Reply

    Hi, if I didn’t times three in 7(ii), how many marks will I lost out of the total three marks? Thanks for answering my question.

    • KS Teng
      Reply

      For that part? Might be 2 marks. Cos it’s needed for all the parts

  • Help
    Reply

    Is 59 males correct for question 6

  • concerns
    Reply

    i did the wrong substitution for question 1 and calculated dr/dt instead of dh/dt, the answer i got was 0.0125 (exactly half). i am sure that i did the differentiation and subsequently calculation correctly. will i be awarded any marks at all? sorry for reposting! πŸ™

    • KS Teng
      Reply

      sorry, if i overlooked.you should get 3-4 marks for method

  • A
    Reply

    Hi if my inequalities for hypo testing I got more and equal to zero will I get the whole thing wrong? So minus 1 mark for each inequality? Thank you

    • KS Teng
      Reply

      your hypotheses are worth 1 mark. but given its wrong, your solving part, the inequality also wrong.

  • K
    Reply

    Why for 6iii, cannot write 0<x<34.8?

    • K
      Reply

      This is wrong for 6ii right? Each department can choose to hire all the younger workers or all the older workers.

      • K
        Reply

        Will I get any method marks if I wrote this ?
        Qn 7i. No of ways= 4C3=24

        Qn 7ii. No restriction= 10C3
        No men=24
        No women= 6C3
        Total ways= 10C3-24-6C3

        • K
          Reply

          Will I get anything if I only wrote until the 4th line in ur 10v ans? After that , I made mistakes.

          • KS Teng

            I doubt so. unless you expanded the probability equation.

        • KS Teng
          Reply

          you will get 0, 1 marks respectively for the parts

    • KS Teng
      Reply

      the question states it wants the answer as a set of values. your given answer is a range of values.

  • Yy
    Reply

    as in for my set of values instead of 0< i left it as more than and equals to zero. is that wrong? thank you so much πŸ™‚

    • KS Teng
      Reply

      that is fine. i doubt they nitpick on this small detail. putting it is already good

  • George Tow
    Reply

    hi,
    For the explanation for the scatter plot, could I say c is negative to reflect the shape of the graph to fit the shape of thr scatter plot
    And for d ti be positive, to translate the graph in the positive y direction to fit the positivevalue of y given.
    Thanks

    • KS Teng
      Reply

      the explanation for c is fine. But i don’t see why we are doing any translation here.

  • Gg
    Reply

    Uhhhhg

  • Gg
    Reply

    Sorry did not mean to spam, hey for question 7a pnc, if I did not permutate my answers, will I get any method mark? Especially for the 3 mark one

    • KS Teng
      Reply

      You might just get 1 mark if all else if correct. 3! is part of the method

  • Gg
    Reply

    For the scatter plot, I said that c is negative since X values r inversed, hence y decreases as X increases

    • Gg
      Reply

      i know it’s supposed to be reciprocal, but I wrote inverse by accident >.< will I still get the mark? And is 76 + 82 sufficient for A?

      • KS Teng
        Reply

        Inverse and reciprocal have very different meanings. Awarding you the 1 mark will be based on whether the marker is lenient and like to try and understand what you’re saying.

  • retarded
    Reply

    omg i posted on 15 nov saying how i screwed up. IM SO THANKFUL I GOT AN A omg. Just wanna thank you for your encouragement and reply! Your comment rlly did help me πŸ™‚

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