Use this ZIMSEC A-Level Pure Mathematics Paper 1 November 2021 marking scheme for checking answers, revision, and exam preparation in Zimbabwe.
A free account is needed to download. Sign in or create one
Questions: ZIMSEC A-Level Pure Mathematics Paper 1 November 2021 Question Paper
This is the ZIMSEC A-Level Pure Mathematics marking scheme for Paper 1 from November 2021. It shows how marks are awarded, so you can mark your own answers to the matching question paper. See the question paper.
CHAKS SOLUTIONS
November 2021 Pure Mathematics P1
Suggested marking guide
6042
BY CHAKUAMBA FORTUNE T (CHAKS)
+263771580933
1) $2 e^{2 x}-7 e^{x}+6=0$
$2\left(e^{x}\right)^{2}-7 e^{x}+6=0$
Let $a$ be $e^{x}$
$\Rightarrow 2 a^{2}-7 a+6=0$
$2 a^{2}-3 a-4 a+6=0$
$a(2 a-3)-2(2 a-3)=0$
$(a-2)(2 a-3)=0$
$a=2$ or $\frac{3}{2}$
But $a=e^{x}$
$\Rightarrow e^{x}=2$
OR
\[
e^{x}=\frac{3}{2}
\]
Applying natural logarithms
\[
\begin{array}{l}
\operatorname{In} e^{x}=\operatorname{In} 2
x=\operatorname{In} 2
\text { OR }
\operatorname{In} e^{x}=\operatorname{In} \frac{3}{2}
x=\operatorname{In} \frac{3}{2}
\end{array}
\]
PAGE 1CHAKS SOLUTIONS +263771580933 chakuambafortunet@gmail.com