O Level Mathematics 4024 Paper 22, Oct/Nov 2025

Find the median.

Find the range.

Using a ruler and compasses only, construct triangle $ABC$. Side $AB$ has been drawn for you.

Measure angle $BAC$.

Sofia invests $400 in a savings account. The account pays simple interest at a rate of 2.8% per year. Calculate the total amount of interest Sofia receives at the end of 3 years.

Luis invests $400 in a different savings account that also pays simple interest. The rate of interest for this account is 0.4% per year more than the rate for Sofia’s account. Calculate how much more interest Luis receives each year than Sofia receives each year.

Work out $3\mathbf{a}-\mathbf{b}$.

Find $\mathrm{\mid }\mathbf{a}+\mathbf{b}\mathrm{\mid }$.

Write 372000000 in standard form.

Work out. $$\frac{2.21\times {10}^5}{6.5\times {10}^6}$$ Give your answer in standard form.

These are the first five terms of a sequence. $$38131823$$ Find the next term of the sequence.

Find an expression for the $n\text{th}$ term of the sequence.

$T_n$ is the $n\text{th}$ term of a different sequence. These are the first five terms of this sequence. $$T_1=\frac{3}{4}{T}_2=\frac{8}{9}{T}_3=\frac{13}{16}{T}_4=\frac{18}{25}{T}_5=\frac{23}{36}$$ Find $T_{25}$.

Find the value of $x$ and the value of $y$.

Find the highest common factor (HCF) of $N$ and 360.

$k$ is a positive integer. $kN$ is a cube number. Find the smallest possible value of $k$.

Write down the upper bound and the lower bound for the mass of a bag of potatoes.

The mass of a box is $8.0\text{ kg}$, correct to the nearest $0.1\text{ kg}$. Bags of potatoes are packed into the box. Calculate the upper bound for the total mass of a box containing 12 bags of potatoes.

Find the value of $x$.

After 1 January 2023 the population of the town starts to increase exponentially at a rate of 1.6% per year. Find the year in which the population on 1 January first becomes more than 120000.

$y=x^3-3$

$y=3^x$

Write down the gradient of line $L$.

Line $M$ is parallel to line $L$. Line $M$ crosses the $x$-axis at point $A$ and the $y$-axis at point $B$. The coordinates of point $A$ are $(15,0)$. Show that the coordinates of point $B$ are $(0,-3)$.

Line $N$ is the perpendicular bisector of the line joining point $A$ and point $B$. Line $N$ crosses the $x$-axis at point $C$. Find the coordinates of point $C$.

Write down the number of students who study both Economics and History.

Find $\mathrm{n}(E\cap H^{\mathrm{\prime }})$.

Three of the students from the group are selected at random. Find the probability that they all study History.

Calculate $AB$.

Show that angle $BDC={61.5}^{\circ }$, correct to 1 decimal place.

A second path crosses the field from $C$ to meet path $BD$ at point $X$. $CX$ is the shortest distance from $C$ to $BD$. Lara takes 6 minutes 24 seconds to walk along path $CX$. Calculate Lara’s average speed. Give your answer in kilometres per hour.

Show that there are 28 onions with a mass of $200\text{ g}$ or less.

Calculate an estimate of the mean mass. You must show all your working.