O Level Mathematics 4024 Paper 12, May/June 2026

$5^3$

$\sqrt{121}$.

A bus leaves the city centre at 1005. The bus journey from the city centre to the airport takes 1 hour 25 minutes. Work out the time the bus arrives at the airport.

Another bus arrives at the airport at 1620. This bus journey from the city centre to the airport takes 1 hour 35 minutes. Work out the time this bus leaves the city centre.

Work out the median.

Work out the mean.

The ratio $\text{red cards}:\text{green cards}=2:1$. Show that there are 20 green cards.

Each of the 60 cards is a square or a triangle. The ratio $\text{square cards}:\text{triangle cards}=5:1$. There are 16 green square cards. Complete the two-way table.

Using a ruler and compasses only, construct the position of farm $C$.

Measure the bearing of farm $C$ from village $A$.

Leo says that the results show that the spinner is fair. Explain why he is correct.

Find the relative frequency of the spinner landing on 5.

Mary spins this spinner 100 times. Find the number of times Mary should expect the spinner to land on 5.

Write 400 as a product of its prime factors.

Find the highest common factor (HCF) of 400 and 180.

The $n$th term of a sequence is $n+8$. Find the first three terms of this sequence.

These are the first four terms of a different sequence. $$T_1=4T_2=10T_3=16T_4=22$$ Write down the term-to-term rule for this sequence.

Find an expression for the $n$th term of the sequence, $T$.

The $n$th term of another sequence is $R_n=\frac{T_n}{n+8}$. The $k$th term of this sequence is 5. Find the value of $k$.

Write 350000 in standard form.

Write $2.7\times {10}^{-4}$ as an ordinary number.

Work out. $$1.3\times {10}^{12}+4.5\times {10}^{13}$$ Give your answer in standard form.

Find the gradient of line $L$.

Find the $y$-intercept of line $L$.

Line $M$ is perpendicular to line $L$. Line $M$ passes through the point $(-1,-5)$. Show that the equation of line $M$ is $y=2x-3$.

Find the coordinates of the point of intersection of the lines $2y+x=19$ and $y=2x-3$.

Show that triangle $AXB$ is similar to triangle $MXD$. Give a geometrical reason for each statement you make.

$M$ is the midpoint of $DC$. $AB=8\text{ cm}$ and $BD=15\text{ cm}$. Calculate $DX$.

Complete the statement. $$\text{area of triangle }AXB:\text{area of triangle }MXD=\dots \dots \dots \dots \cdots :1$$

Use this information to form an equation and show that it simplifies to $x^2-18x+45=0$.

Solve by factorising. $$x^2-18x+45=0$$

Find the area of the triangle.

Find the percentage of apples with a mass greater than $110\text{ g}$.

On the grid, draw a histogram to represent the information in the table.

$\overrightarrow{PR}$

$\overrightarrow{RQ}$

the position vector of $X$.

Find the value of $a$ and the value of $b$.

Find the equation of the asymptote to the graph.