Use this ZIMSEC O-Level Mathematics Paper 1 June 2016 marking scheme for checking answers, revision, and exam preparation in Zimbabwe.
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Questions: ZIMSEC O-Level Mathematics Paper 1 June 2016 Question Paper
This is the ZIMSEC O-Level Mathematics marking scheme for Paper 1 from June 2016. It shows how marks are awarded, so you can mark your own answers to the matching question paper. See the question paper.
2
\[
\begin{array}{l}
\text { Let } y=a x+b
y-b=a x
x=\frac{y-b}{a}
\therefore f^{-1}(x)=\frac{x-b}{a}
\end{array}
\]
for making $x$ the subject
M1
A1
(2)
\[
\begin{array}{l}
5 x^{3}-3 x^{2}+7 x-3-(A x+B)\left(x^{2}+1\right)+C x+D
5 x^{3}-3 x^{2}+7 x-3=A x^{3}+B x^{2}+(A+C) x+(B+D)
\end{array}
\]
M
\[
A=5 \text { and } B=-3
\]
for first two correct values
Hil
From the coefficients of $x$
\[
\begin{array}{l}
A+C=-\operatorname{and} B+D=-3
C=7-5 \quad-3+D=-3
C=2 \quad D=0
\frac{5 x^{3}-3 x^{2}+7 x-3}{\left(x^{2}+1\right)^{2}}=\frac{5 x-3}{x^{2}+7}+\frac{2 x}{\left(x^{2}+1\right)^{2}}
\frac{3-2 m-4}{1-m}<5
\end{array}
\]
for last two comect values
A1
3
for gradient statement
B1
Simmilifying increwility