IGCSE Mathematics 0580 Paper 43, Oct/Nov 2025

The $n$th term of a sequence is $5-2n$.

The stem-and-leaf diagram shows the age of each of 16 adults.

Key: $3\mid 2$ represents age 32 years

$$G=\frac{4}{5}{m}^{2}n$$ Find the value of $G$ when $m=6$ and $n=15$.

Simplify.

$m$ is a positive integer. Write these values in order of size, starting with the smallest. $$m33\mathrm{\%}\text{ of }m\frac{1}{3}\text{ of }m320\mathrm{\%}\text{ of }\frac{m}{10}$$

Draw a ring around the calculation that is equivalent to $n÷2\frac{3}{5}$. $$n\times 2\frac{5}{3}n\times \frac{5}{13}n\times \frac{13}{5}\frac{1}{n}\times 2\frac{3}{5}\frac{1}{n}\times \frac{5}{13}$$

Solve the simultaneous equations. You must show all your working. $$3x+5y=5$$ $$2x-5y=45$$

$$2.89\times {10}^{-1}1.3\times {10}^{12}8.3\times {10}^{1}9\times {10}^{11}2.03\times {10}^{-5}0.3\times {10}^{-2}$$ Use a number from the box to complete each statement. The number that is not written in standard form is ......................................... . The largest number is ......................................... . The smallest number is ......................................... .

A vase contains flowers that are red or pink or white. Ruth picks a flower at random from the vase. The probability that the flower is not red is 0.9 . The probability that the flower is not pink is 0.65 . Find the probability that the flower is white.

The point $(5,1024)$ lies on the curve $y=c^x$, where $c$ is a whole number. Find the $y$-coordinate of the point on the curve with $x$-coordinate $-2$.

These expressions are all equal in value. $$\frac{5x-2}{3}10-xy+11$$ Find the value of $y$.

The population of a town is $54000$. The population is decreasing exponentially at a rate of $2\mathrm{\%}$ per year.

Expand and simplify.

Make $t$ the subject of the formula. $$x=\frac{7t}{5-t}$$

$$\mathrm{f}(x)=5^x\mathrm{g}(x)=3x-2\mathrm{h}(x)=x^2+1$$

$$y=x^3+3x^2-13x$$

A dressmaker takes 75 hours to make 31 dresses. In week 1, she takes a total of 12 hours 30 minutes to make the first 4 dresses. In week 2, she makes the remaining 27 dresses at a constant hourly rate. Work out the percentage increase in her hourly rate of making dresses from week 1 to week 2.

The table shows some information about the mass of each of 200 oranges.

The diagram shows a cuboid $ABCDEFGH$. $AE=6.4\text{ cm}$, $EH=5.1\text{ cm}$ and $AG=13\text{ cm}$.

Jenna has a length of wire measuring $68\text{ cm}$, correct to the nearest $\text{cm}$. From this wire she cuts off two smaller pieces • a piece of length $4.7\text{ cm}$, correct to the nearest $\text{mm}$ • a piece of length $10.0\text{ cm}$, correct to the nearest $\text{mm}$. Work out the lower bound and the upper bound for the length of the wire remaining.

$ABCD$ is a parallelogram. $\overrightarrow{AB}=\mathbf{m}$ and $\overrightarrow{AD}=\mathbf{p}$. $F$ is a point on $BC$ and $BF=4FC$. $E$ is a point on $AD$ and $AE:ED=1:2$.