Download and practise with this ZIMSEC O-Level Mathematics Paper 2 June 2024 question paper. Useful for exam revision, past paper practice, and preparation in Zimbabwe.
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Answers: ZIMSEC O-Level Mathematics Paper 2 June 2024 Marking Scheme
This is the ZIMSEC O-Level Mathematics question paper for Paper 2 from June 2024. Use it for exam practice under timed conditions, then check your work against the marking scheme. See the marking scheme.
8
(b)
Minks(m) | $11<m<21$ | $21 \leq \pi \leq 24$ | 9 | $27<m \leq 30$ | C | 2
| 2 | & | & |
If the information above were to be represented in a histogram, calculate the heights
(3) of the first three class intervals.
10
In the diagram $Q A B C$ is a parallelogram $S$ is the midpoint of $A B$ and $R$ is the midpoint of $B C \cdot \overrightarrow{O A}=2 a$ and $\overrightarrow{O C}=2 b$
(a) Express the following vectors in terms of ${ }^{a}$ and/or b
(i) $\overrightarrow{A S}$.
[1]
(ii) $\overrightarrow{O S}$
(II
(iii) $\widehat{O R}$.
[1]
(iv) $\overrightarrow{A R}$
[1]
(b) $\quad O S$ and $A R$ intersect at $T$. Given that $\overrightarrow{A T}=h \overrightarrow{A R}$. show that
\[
\widehat{O T}=(2-h) a+2 b .
\]
[2]
(c) Given that $\overrightarrow{O T}=k \overrightarrow{O S}$, express $\overrightarrow{O T}$ in terms of $a, b$ and $k$.
[1]
(d) Using these two expressions for $\overrightarrow{O T}$. find the value of $h$ and the value of $k$.
[4]
(e) Find the ratio $\frac{T R}{A R}$
[1]
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Zimsec 2024