O Level Mathematics 4024 Paper 11, Oct/Nov 2025

Write down the reciprocal of $\frac{7}{2}$.

Some children record the number of hours they each spend watching television one day. These are the results. $$\begin{array}{ccccccccc}1& 2& 2& 2& 6& 7& 7& 8& 10\end{array}$$

A shirt costs $24. In a sale the cost is reduced by 15%. Work out the cost of the shirt in the sale.

The diagram shows five straight lines. The diagram shows three horizontal parallel lines and two sloping parallel lines.

The table shows how some people travel to work.

Sam buys some chocolate. He eats $\frac{2}{7}$ of the chocolate. The mass of the remaining chocolate is $350\text{ g}$. Work out the mass of the chocolate Sam buys.

Car hire $40 per day plus $0.30 per kilometre Amy hires a car for 10 days. She pays a total of $670. Work out the number of kilometres Amy travels in the car.

The diagram shows triangle $A$ and triangle $B$.

By writing each number correct to 1 significant figure, work out an estimate for the value of $$\frac{\sqrt{102.5}\times 8.7}{27}\text{.}$$

A circle has diameter $12\text{ cm}$. Find the area of the circle. Give your answer in terms of $\pi$.

A bag contains 10 plums. The mean mass of 6 of the plums is $50\text{ g}$. The mean mass of the remaining 4 plums is $40\text{ g}$. Calculate the mean mass of all 10 plums in the bag.

The diagram shows an empty container. The container is a cuboid of width $10\text{ cm}$, length $8\text{ cm}$ and height $9\text{ cm}$. Water drips into the container at a rate of 6 millilitres per second. Find the time, in seconds, it takes to fill the container.

Work out $2\frac{2}{3}+3\frac{3}{4}$. Give your answer as a mixed number in its simplest form.

Lia cycles $800\text{ m}$ in 105 seconds. The diagram shows the speed–time graph for this journey.

The cumulative frequency diagram shows information about journey times. Use the cumulative frequency diagram to find an estimate for

Points $Q$, $R$, $S$ and $T$ lie on a circle, centre $O$. $UV$ is a tangent to the circle at $T$. $SOQV$ is a straight line. Angle $QST={32}^{\circ }$.

The diagram shows a prism. The cross-section of the prism is an isosceles triangle with sides $13\text{ cm}$, $13\text{ cm}$ and base $10\text{ cm}$. The length of the prism is $3\text{ cm}$.

Write $0.1\dot{4}$ as a fraction.

$$\mathrm{g}(x)=\frac{x}{2}+4\mathrm{h}(x)=3x-1$$ Solve $\mathrm{h}\mathrm{g}(x)=5$.

Write as a single fraction in its simplest form. $$\frac{5}{2x}-\frac{4}{7x}$$

The table shows some values for $y=x^3-3x+2$.

The diagram shows a rectangle and a triangle. The length of the rectangle is $x\text{ cm}$ and the area of the rectangle is $30{\text{ cm}}^2$. The triangle has sides of length $(x-1)\text{ cm}$, $(x+2)\text{ cm}$ and $(2x-3)\text{ cm}$.

Factorise. $$6x^3+5x^2-4x$$

The diagram shows triangle $OAB$. $\overrightarrow{OA}=\mathbf{a}$ and $\overrightarrow{OB}=4\mathbf{b}$. $T$ is a point on $AB$ such that $AT:TB=3:2$.