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.

More Mathematics O-Level 2023 papers

• Paper 2 November Question Paper2.4 MB
• Paper 1 November Question Paper486 KB
• Paper 1 June Question Paper3.0 MB
• Paper 2 June Question Paper2.8 MB
• Paper 1 November Marking Scheme2.4 MB
• Paper 1 November Question Paper464 KB
• Paper 1 November Marking Scheme1.8 MB
• Paper 2 November Study Guide5.1 MB

Other years: Mathematics O-Level

• 2024 Paper 2 November Question Paper2.4 MB
• 2024 Paper 1 November Question Paper2.9 MB
• 2024 Paper 2 June Question Paper1.9 MB
• 2024 Paper 1 June Question Paper6.4 MB
• 2022 Paper 1 November Question Paper1.5 MB
• 2022 Paper 2 November Question Paper2.5 MB
• 2024 Paper 1 June Question Paper5.0 MB
• 2024 Paper 1 June Question Paper3.2 MB

Text from the first page

2

SECTION A [52 Marks]
Answer all questions in this section
1 (a) (i) The price of a packet of sweets was $$ 1,20$. The price increased to

[1] $$ 1,50$. Calculate the percentage increase.
(ii) A new cereal packet contains $20 \%$ more cereal than the old packet.

[2]
4 If the new packet now has a mass of 264 g , calculate the mass of the cereal in the old packet.
(iii) A painter got a $7 \%$ discount after buying a large amount of paint.

[2] If the discount was $$ 91$, find the value of paint he bought.
(b) $A B$ is a diameter of a circle centre O and $C$ is a point on the circumference such that $A C=7,5 \mathrm{~cm}$ and $B C=5 \mathrm{~cm}$. Calculate the length of $A B$.

[3]

2 (a) Answer the whole of this question on a sheet of plain paper. Use ruler and compasses only for all constructions and show clearly all the construction lines and arcs.
On a single diagram, construct
(i) triangle ABC with $\mathrm{AB}=6 \mathrm{~cm}, \mathrm{AC}=5,8 \mathrm{~cm}$ and $\mathrm{B} \hat{A} \mathrm{C}=135^{\circ}$.

[3]
(ii) the perpendicular from C to BA produced.

[2]
(iii) a line parallel to AB passing through C .

[2]
(iv) the locus of points $4,5 \mathrm{~cm}$ from B .

[1]
(b) The line parallel to AB passing through C represents a certain locus. Describe this locus fully.

[2]

3 The universal set $\xi$ has subsets P and Q such that:
$\xi=\{x: x$ is an integer and $30 \leq x \leq 40\}$
$\mathrm{P}=\left\{x: x_{\text {is a prime number }}\right\}$
$\mathrm{Q}=\{x: x$ is a multiple of 4$\}$
(a) (i) Find $n(P)$.

[1]
(ii) List the members of $Q \cap P^{l}$, where $\mathrm{P}^{l}$ is the complement of set P .

[2]
4004/2 N2023
Zimsec 20 ?