Use this ZIMSEC O-Level Mathematics June 2019 marking scheme for checking answers, revision, and exam preparation in Zimbabwe.
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This is the ZIMSEC O-Level Mathematics marking scheme from June 2019. It shows how marks are awarded, so you can mark your own answers.
(1)
Suggested Marking Swide
June 2019
Q Trackers - 0717267175/0772975155.
\[
\begin{array}{l}
\text { 1. } A(2 k ; k) B(4 k ; 9 k)
\text { Midpoint }=\left(\frac{2 k+4 k}{2} ; \frac{k+9 k}{2}\right)^{A}
=\left(\frac{6 k}{2} ; \frac{10 k}{2}\right)
=(3 k ; 5 k)
\operatorname{grad}(A B)=\frac{9 k-k}{4 k-2 k}=\frac{8 k}{2 k}=4
\therefore \operatorname{Normal}=-\frac{1}{4}
\Rightarrow \frac{y-5 k}{x-3 k}=-\frac{1}{4}
4 y-20 k=-x+3 k
\end{array}
\]
$\therefore x+4 y=23 k$ is the required equation.
2. $(1-2 t)^{-4}$
\[
(1+x)^{n}=1 \operatorname{tn} x \operatorname{tn}(n-1) \frac{x^{2}}{2!}
\]
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