ZIMSEC O-Level Mathematics Paper 2 November 2023 Question Paper

About this question paper

This is the ZIMSEC O-Level Mathematics question paper for Paper 2 from November 2023. Use it for exam practice under timed conditions, then check your work against the marking scheme. The paper code is 4004/2. See the marking scheme.

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Text from the first page

7

10 (a) Given that $\mathrm{A}=\left(\begin{array}{cc}-3  |  4  -\frac{1}{2}  |  2\end{array}\right)$ and $\mathrm{B}=\left(\begin{array}{cc}-2  |  2  6  |  1\end{array}\right)$
(i) Find $A+B$

[2]
(ii) Find $A^{-1}$, the inverse of matrix A .

[2]
(b) The determinant of the matrix $\left(\begin{array}{cc}k-1  |  4  1  |  3 k\end{array}\right)$ is 14 .

Find the possible values of $k$.

[4]
(c)

In the diagram $P, Q, R$ and $S$ lie on the circumference of a circle centre $O$. $P S$ is a diameter. The tangent to the circle at $Q$ meets the line $S P$ produced at $T . T \hat{O} Q=68^{\circ}$ and $S \hat{P} R=43^{\circ}$.

Find
(i) $P \hat{S} R$,

[1]
(ii) $P \hat{R} Q$,

[1]
(iii) $P \hat{T} Q$,

[1]
(iv) $R \hat{Q} O$.

[1]
4004/2 N2023
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