Use this ZIMSEC A-Level Pure Mathematics Paper 1 November 2017 marking scheme for checking answers, revision, and exam preparation in Zimbabwe.
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Questions: ZIMSEC A-Level Pure Mathematics Paper 1 November 2017 Question Paper
This is the ZIMSEC A-Level Pure Mathematics marking scheme for Paper 1 from November 2017. It shows how marks are awarded, so you can mark your own answers to the matching question paper. See the question paper.
$1 \omega=1+2 i$ i $\mu=3-i$
(a)
\[
\text { (1) } \begin{aligned}
\mu+\omega | =3-i+1+2 i | =4+i
\end{aligned}
\]
(II)
\[
\begin{aligned}
\mu w | =(3-i)(1+2 i) | =3+6 i-i-2 i^{2} | =5+5 i
\end{aligned}
\]
(b) $\arg (\mu \omega)=\tan ^{-1}(5 / 5)=45^{\circ}$
2.
\[
\begin{array}{ll}
f(x)=3 x-1 ; | x \in R
h(x)=2 x+5 ; | x \in R .
\end{array}
\]
\[
\begin{array}{rl}
h f(x) | =h(3 x-1) | =2(3 x-1)+5 | =6 x+3
f h(x) | =f(2 x+5) | =3(2 x+5)-1 | =6 x+14
f h(x)=2 | h f(x)
\Rightarrow 6 x+14 | =2(6 x+3)
6 x+14 | =12 x+6
8 | =6 x
x | =\frac{4}{3}
\end{array}
\]
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