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Numerical Answers (click the questions for workings/explanation)

Question 1: $ax + (2a - \frac{a^2}{2})x^2 + (\frac{a^3}{3} + 2a - a^2) x^3$; $a = 4$
Question 2: $x \textgreater \frac{1}{\sqrt{b}} + a$ or $x \textless a$
Question 3: 2
Question 4: $a = 4, b =1$; translate the graph 4 units in negative y-direction and translate the graph 2 units in positive x-direction.
Question 5: $a = -1.5, b = 1.5, c = 7$; $x \approx -1.33$; $x \approx -0.145$ or $x \approx 1.15$
Question 6: $r = a + (\frac{d - a \cdot n}{b \cdot n}) b$
Question 7: $(\frac{1}{a}, \frac{1}{ae}); \frac{1}{a^2}$
Question 8: $z = -1 + 2i$ or $z = 2 - i$; $p =-6, q=-66$; $(w^2 - 2w+2)(w^2-4w+29)$
Question 9: $U_n = 2An - A +B$; $A = 3, B =-9$; $k=4$; $\frac{1}{4} (n^4 + 2n^3 + n^2)$ ; $e^x$
Question 10: $a = -4.4$; $R(1.5, 0.5, -1)$; $\frac{1}{2}\sqrt{10}$
Question 11: $\frac{dv}{dt}=c$; $v = 10t +4$; $v = \frac{1}{k}(10- 10 e^{-kt})$

### Relevant materials

MF26

To be honest, this paper is really the same as the H2 Mathematics (9758). They just rephrased everything. You can see for yourself here.

• […] Paper 1 […]

• studieing

hello there are no answers 🙁

• thanksss

hi for Q10(ii) would it be sufficient to explain that for both P and Q do not lie on line L hence they are both not points of intersection, PRQ will never be 90degrees?

• vectors need not intersect to be perpendicular actually.

• rachel

Hello, got a quick question! For q6(ii) i remembered my teacher specifically saying r.n = d the ‘d’ is simply a constant with no meaning… so shouldnt displacement of plane from origin be d/(n^)?
Thanks!

• yes. but n is given to be a unit vector.. it gives a lot of meaning then

• Mas

Hi, according to the 9740 papers, may I know what are ur thoughts on the expected range of grade to score A grade? Is 70 marks overall for Ppr 1 & 2 guarantee an A?