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Secondary Mathematics June 2023 Question Paper

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Subject
Mathematics
Document
Question Paper
Session
June
Year
2023
File
PDF, 183 KB

About this question paper

This is the Mathematics question paper from June 2023. Use it for exam practice under timed conditions.

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Other years: Mathematics

Text from the first page

2

Section A [64 marks]
Answer all the questions in this section.
1 (a) Find the value of $4-2 \frac{2}{3} \times 1 \frac{1}{5}$.

[3]
(b) $P, Q$ and $R$ are subsets of $\xi$ where
$n(P \cap Q)=0$,
$R \subset Q$.
$P \cap R=\phi$.
Dtaw and label the Venn diagram that represents these sets.

[2]
(c) Factorise completely
(i) $3 d f-d^{2}-3 e f+d e$,
(ii) $\quad 3 m^{3}-27 m$.

[4]

2 (a) Given that
$\mathbf{A}=\left(\begin{array}{ll}3  |  -2  4  |  -5\end{array}\right), \quad \mathbf{B}=\binom{2}{3}$ and $\mathbf{C}=\left(\begin{array}{cc}-1  |  5  3  |  0\end{array}\right) \quad$.
Find
(i) $2 \mathrm{~A}+\mathrm{C}$,
(ii) AB ,
(iii) $\mathrm{A}^{-1}$.

[6]
(b) Given that $V=\sqrt{\frac{l+b}{l-b}}$,
(i) make $l$ the subject of the fomula,
(ii) find $l$ when $b=16$ and $V=\frac{1}{3}$.

[5]
$4008 / 252007$