O Level Mathematics 4024 Paper 22, May/June 2026

Write down the colour of car that is recorded the least number of times.

Find the total number of cars in the car park.

Write down the coordinates of point $B$.

Work out the gradient of $AB$.

Find the coordinates of the midpoint of the line $AB$.

Calculate the amount Bill receives.

Sara uses her $60 to buy books. Each book costs $7. Find the maximum number of books she can buy.

$$\mathbf{c}=\left(\begin{array}{c}1\\ 5\end{array}\right)\mathbf{d}=\left(\begin{array}{c}-2\\ 3\end{array}\right)$$ Write $\mathbf{c}-2\mathbf{d}$ as a column vector.

Point $P$ has coordinates $(1,5)$ and $\overrightarrow{PQ}=\left(\begin{array}{c}-4\\ 10\end{array}\right)$. Find the coordinates of point $Q$.

Complete the tree diagram.

Work out the probability that both tiles are labelled A.

Complete the Venn diagram.

Find $\mathrm{n}(F\cup C{)}^{\mathrm{\prime }}$.

$$5k-2=12$$

$$5(2y-1)=4(3y+1)$$

Find $\mathrm{f}(-4)$.

Find $\mathrm{g}\mathrm{f}(1)$.

$$a^5\times a^3$$

$$b÷b^6$$

$${\left(\frac{4x}{y^2}\right)}^3$$

$f$ is inversely proportional to the square of $h$. When $f=-\frac{3}{4}$, $h=2$. Find $f$ when $h=-5$.

$c$ is directly proportional to $d^2$. Complete the statement. If $d$ is multiplied by 4, then $c$ is multiplied by ....................

Find the value of $x$. Give a geometrical reason for your answer.

Find the value of $y$.

Use the diagram to find an estimate for the median score.

In this group, 60% of the students pass the test. Use the diagram to find the minimum score needed to pass the test.

$$\frac{8}{32x}$$

$$\frac{2f^2-8f}{f^2-16}$$

Calculate the area of triangle $ABC$.

The shaded area $ABC$ is covered with grass seed. A box of grass seed costs $6. Each box contains enough grass seed to cover an area of $5{\text{ m}}^2$. Calculate the total cost of the boxes needed to cover this area with seed.

Find the angle of the major sector $AOB$.

Jamila joins $OA$ to $OB$ to form the curved surface of a cone. Show that the radius, $r$, of the cone is $7.0\text{ cm}$, correct to 1 decimal place.

Calculate the volume of the cone.

Oliver has a cone that is mathematically similar to Jamila's cone. The volume of Oliver's cone is $2387{\text{ cm}}^3$. Calculate the radius of Oliver's cone.

The volume of the cuboid is $720{\text{ cm}}^3$. Show that $3x^2-4x-140=0$.

Use the quadratic formula to solve $3x^2-4x-140=0$. Show all your working and give your answers correct to 2 decimal places.

Calculate the area of the top face of the cuboid.

Write $2x^2-8x+7$ in the form $a(x-b{)}^2+c$.

Write down the coordinates of the turning point of the graph of $y=2x^2-8x+7$.

The equation $2x^2-8x+7=k$ has two solutions. Complete the inequality for $k$.