Use this ZIMSEC O-Level Mathematics Paper 1 June 2006 marking scheme for checking answers, revision, and exam preparation in Zimbabwe.
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This is the ZIMSEC O-Level Mathematics marking scheme for Paper 1 from June 2006. It shows how marks are awarded, so you can mark your own answers.
Marking Streno $=($ June 2006 Pagere I - Silby)
1.
\[
\begin{aligned}
\frac{5}{(x+1)\left(x^{2}+4\right)} | \equiv \frac{A}{(x+1)}+\frac{B x+C}{\left(x^{2}+4\right)}
5 | \equiv A\left(x^{2}+4\right)+(B x+c)(x+1)
\end{aligned}
\]
Whan $x=-1$,
\[
\begin{array}{cc}
5=5 A, \text { Wen } x=0,
A=1, \quad 5=4 A+C \text { bat } A=1
C=1
\end{array}
\]
Whan $x=1$,
\[
\begin{aligned}
S | =5 A+2(B+1)
S | =5+2 B+2
B | =-1
H) | \equiv \frac{1}{(x+1)}+\frac{1-x}{\left(x^{2}+4\right)}[A]
\end{aligned}
\]
2.
\[
\begin{array}{l}
|4 x+3|=|x-5|
(4 x+3)^{2}=(x-5)^{2}
16 x^{2}+24 x+9=x^{2}-10 x+25
15 x^{2}+34 x-16=0
x=\frac{-34 \pm \sqrt{34^{2}-4(15)(-16)}}{30}
=\frac{-34 \pm \sqrt{2116}}{30}
=\frac{-34 \pm 46}{30}
\end{array}
\]
$\therefore x=2 / 5$ or $-8 / 3 \Leftrightarrow 0,4$ or $-2,667$ [4]
3