2017 A-level H2 Mathematics (9740) Paper 2 Suggested Solutions

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

This is answers for H2 Mathematics (9740). H2 Mathematics (9758), click here.

Numerical Answers (click the questions for workings/explanation)

Question 1: 2 \sqrt{15}; xy=6
Question 2: d = 1.5;~ r \approx 1.21 \text{~or~} r \approx -1.45;~n=42
Question 3: (\frac{1}{2}a, 0), (0,b);~ (a+1, 0,);~ (\frac{a+1}{2}, 0);~ (0, a), (b, 0);~ a = 1;~ gg(x) = x, x \in \mathbb{R}, x \neq 1 , ~ g^{-1}(x) = 1 - \frac{1}{1-x}, x \in \mathbb{R}, x \neq 1;~b= 2 \text{~or~}0
Question 4: 15.1875;~ \frac{\pi}{2a(a-1)};~ b = \frac{1}{2} + \frac{1}{2}\sqrt{1-a+a^2}
Question 5: 0.647;~ 0.349;~k=2.56
Question 6: 955514880;~ 1567641600;~ \frac{1001}{3876}
Question 7: 31.8075, 0.245;~ p = 0.0139; Do not reject h_0, Not necessary.
Question 8: Model (D); a \approx 4.18, b \approx 74.0;~ r \approx 0.981
Question 9: 0.632;~ 1.04 \times 10^{-4};~ 0.472;~ 0.421;~ 0.9408
Question 10: 0.345;~ 0.612;~ \mu = 12.3, \sigma = 0.475;~ k \approx 55.7

Relevant materials

MF26

KS Comments

Showing 19 comments
  • Jia
    Reply

    Hi. Can you upload question 5 and 9iv/vii. These are the questions that differ from the other paper. Thankyou.

    • KS Teng
      Reply

      i dont have that paper. can send me at +65 9815 6827. I’ll do it.

      • Jia
        Reply

        Hello. I’ve sent you the papers. Please check πŸ™‚

      • Kay
        Reply

        Hi! Do you still need the paper?

    • rainbow
      Reply

      for 5 i got 0.647, 0.350 and some decimal for the k.
      for 9iv i got 0.472 i think x>=19.5 by c.c
      for 9vi is conditional prob and i said something about the margin of error being less than the probability of fault 0.08.

  • Haizz
    Reply

    Hi, wondering for the hypothesis testing question, is the left tail test accepted? Because in the real world context, the most important thing is u<32? Because if they overstated their claim, they can get sued but if they understated it then it doesnt matter? Well thats my logic but i regretted overthinking and changing my answer during the exam

    • rainbow
      Reply

      doubt it. It’s not about the company being sued, it’s about testing if the claim holds true. And since it’s two-tailed the critical region changes also.

  • Jan
    Reply

    Will there be β€˜error carry forward’ marks?? For eg if part (iii) needs (ii) answers, but my answer for part (ii) was wrong??

  • Andrew
    Reply

    Sorry is there any error for 9iii? When i key into GC i get approx 0.47154

    • KS Teng
      Reply

      yes, i made a mistake. sorry! Thank you πŸ™‚

  • rainbow
    Reply

    dont think the 9iv is correct? from gc value gives 0.472

    • KS Teng
      Reply

      yes, my bad. so sorry. typed wrongly. Thank you πŸ™‚

  • Jay
    Reply

    Hi, is it okay for you to show the working for 4bi) using the substitution u= a-y^2? Thanks so much for your help! πŸ™‚

    • KS Teng
      Reply

      Definitely. So Long as answer is correct πŸ™‚

  • Depressed
    Reply

    I’m so sorry. This may seem very pessimistic but I would just like to know, what do u think are the cutoffs for grades C and D? It would be really helpful.

  • Prettybad
    Reply

    Hello there. This might come off as very pessimistic, but do u by any chance have any idea what the marks range is going to be for grades C and D overall? Would be really helpful

    • KS Teng
      Reply

      i reckon is +8 to the normal grade boundaries. πŸ™‚

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