2022 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: z = 2 + i, w = -i
Question 2: f(x) = 0.955 + 0.333x - 0.157x^2 + \ldots
Question 3: m = - \frac{1}{3}; x^2 - y^2 = 2, x \ge \sqrt{2}
Question 4: \frac{\sqrt{3}}{9}
Question 5: (-12, 8), (-0.8, 14.4)
Question 6: f^{-1}(x) = \frac{ax + k}{x-a}; f^2(x) = x; f^{2023}(1) = \frac{a+k}{1-a}
Question 7: ( e^{\frac{1}{3}}, \frac{1}{3e}); - \frac{\ln 3}{18} + \frac{2}{9}
Question 8: \ln (x^2 + 2x + 1) + \frac{3}{x+1} + c; 2 \ln \frac{4}{3}
Question 9: d = 2.5a; k = \frac{1}{2}; \frac{43 \sqrt{3}}{128}
Question 10: a < -2b; x \le -2 \text{~or~} x > 1
Question 11: p = -36; 5x + y + 2z = 2560; (512, 44, -22); 1.3^{\circ}
Question 12: P = 50(2^{0.1t}); P = \frac{500(2.25^{0.1t})}{9 + 2.25^{0.1t}}; 500

Showing 4 comments
  • Thu oo
    Reply

    Your ans for sum of first 7 terms is wrong, it should be 129/128sqrt(3)

  • Ryo
    Reply

    Hi Mr Teng, could you send me a softcopy of the question paper please? Thank you 🙂

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