2021 A-level H2 Mathematics (9758) Paper 1 Suggested Solutions

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

Numerical Answers (workings/explanations are after the numerical answers.)

Question 1: a = 4, b, -6, c = 0, d = 7
Question 2: x = -1 + \sqrt{7}, \quad x = 1 + \sqrt{5}
Question 3: y =0.5x + 3.5
Question 4: |z| = 1, \text{arg}(z) = \frac{\pi}{4}, z^2 = i; 0
Question 5: \frac{x}{(x+2)(x+3)(x+4)} = - \frac{1}{x+2} + \frac{3}{x+3} - \frac{2}{x+4}, \quad \frac{1}{6} + \frac{1}{n+3} - \frac{2}{n+4}, \quad \frac{1}{6}
Question 6: Smallest y = \frac{1}{2a}, Translate the graph of C 2a units in the negative x direction
Question 7: y = 1 + x + \frac{1}{2}x^2 + \frac{1}{3}x^3
Question 8: -x + 2z =  -3; \lambda = -1, \mu = 1, \begin{pmatrix}1\\5\\-1\end{pmatrix}, \begin{pmatrix}-3\\3\\1\end{pmatrix}; 2 \sqrt{6}
Question 9: (\frac{\pi}{4}, \frac{1}{\sqrt{2}}e^{\frac{\pi}{4}}) is maximum; V = \frac{\pi}{2}(\frac{1}{4}e^{\pi} - \frac{3}{4})
Question 10: \frac{dN}{dt} = kN, k = \frac{1}{2}\ln3, t = 4.19; N = \frac{2}{\ln 3} [(50 \ln 3 - d) e^{0.5 \ln 3 t} + d]; d > 50 \ln3; t = 5.35
Question 11: PS = 2a(\pi - \beta + \sin \beta); \beta = 1.90; 22.9, 15.1

Things that have yet to come out, but do not fully rely on these as examinations are surprising always.
Vectors algebra, planes, APGP, DE with substitution, Complex Conjugates and Functions (Piece wise with conics). All the best.

Showing 18 comments
  • jimmy
    Reply

    question 6 should be -2a in positive x-axis

  • celia
    Reply

    can u do h1 math pls!!

  • Kelvin Soh
    Reply

    Q4: Should z^2 be i instead?

    • KS Teng
      Reply

      yes, you are right. I believe it is below in the solutions. I probably missed it out in the final numeric section. Will add in. Thank you for pointing it out.

  • tan
    Reply

    do u hv the qns ppr

    • KS Teng
      Reply

      so sorry, I don’t as I believe there is copyright laws involved. 🙁 But I believe reddit has it circulating.

  • Dion
    Reply

    Is it possible to state the marks allocation for each part

    • KS Teng
      Reply

      Hi, I believe you can go reddit and find the question paper circulating and it should help. I can’t share it as there are copyright laws involved.

  • jack
    Reply

    11.b what if i did the integration correctly but put the limits wrongly? how manyy marks would i lose?

    • KS Teng
      Reply

      I would say a maximum of 3 marks since it is a 6 marks question.

  • Lead
    Reply

    Is there ecf for stats

    • KS Teng
      Reply

      there is no ecf in mathematics, simply method and answer mark.

pingbacks / trackbacks

Leave a Comment

Contact Us

CONTACT US We would love to hear from you. Contact us, or simply hit our personal page for more contact information

Not readable? Change text. captcha txt

Start typing and press Enter to search