2013 A-level H2 Mathematics (9740) Suggested Solutions

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

Please kindly comment at the specific questions should you have any questions.

Paper 1

Numerical Answers (click the questions for workings/explanation)
Question 1: $(- \frac{38}{3}, - \frac{119}{3}, - \frac{25}{3})$ ; No solutions, triangular prism.
Question 2: $\{ y: y \in \mathbb{R}, y \le 3 - 2\sqrt{3} \text{~or~} y \ge 3 + 2 \sqrt{3}\}$

Question 3: $x < 0.5 \text{~or~} x > 2$
Question 4: $-11 - 2i;~a= 27, b = 295;~ 1 + 2i, 1 -2i, -\frac{59}{27}$
Question 5: $\frac{a \pi}{12}$
Question 6: $\vec{ON} = \frac{4 \textbf{a} +. 3\textbf{c}}{7};~ \lambda = \frac{8\mu}{7}$
Question 7: $A = 1, B = 6, C = -1, D =1;~12$
Question 8: $2r, \theta - \frac{\pi}{3};~\frac{\pi}{24}$
Question 9: $a = 6;~ \frac{n}{6}(2n+1)(n+1);~\frac{n}{2}(n+1)(n^2 +n + 1) + \frac{n}{2}(2n+1)(n+1) + 24n$
Question 10: $z = \frac{3}{2} - Ae^{-2x};~ y = \frac{3}{2}x - \frac{A}{2}e^{-2x} + D;~a=-2, b =3;~y = \frac{3}{2}x, y = \frac{3}{2}x +1$
Question 11: $y = tx - t^3;~ M(\frac{3}{2}, \frac{1}{\sqrt{2}});~ \frac{2\sqrt{2}}{15}$

Paper 2

Numerical Answers (click the questions for workings/explanation)
Question 1: $a = 4$
Question 2: $V = \frac{a^3}{54}$
Question 3: $0, 2, -4, 14, f(x) = 2x - 2x^2 +\frac{7}{3}x^3 + \ldots;~ a=-1, n = 2, - \frac{1}{3}x^3$
Question 4: $40.4^{\circ };~c = -49 \text{~or~} \frac{35}{13}$
Question 5:
Question 6: $k=1.29$
Question 7: $0.377;~ 0.185$
Question 8: $0.24;~0.06;~0.26$
Question 9: $12.8, 2.31;~ p = 0.052397$
Question 10: $r = -0.939;~ y=190 - 0.00462x^2 ,134$
Question 11: $0.789;~\frac{4}{9};~ 0.197;~0.186$
Question 12: $4;~ 0.397;~0.848$

Relevant materials

MF15

KS Comments:

This paper is not that difficult. I think the hardest question will be the permutation question.

A-level H2 Mathematics MF15 Paper 1 Paper 2 Pure Mathematics Statistics Suggested Solution Year 2013

About

KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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2013 A-level H2 Mathematics (9740) Suggested Solutions

Paper 1

Paper 2

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KS Comments:

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