IGCSE Mathematics 0580 Paper 12, Oct/Nov 2025

Write down the value of the 3 in the number 23679.

Tom buys 2 books costing $8.20 each. Work out how much change he receives from $20.

The diagram is made from equilateral triangles.

A bag contains 8 discs numbered 1 to 8. A disc is picked at random from the bag. On the probability scale, draw an arrow ( $\downarrow$ ) to show the probability that the number is

A number, $n$, is a factor of 144 and a multiple of 9. Find all the values for $n$.

The temperature at midday on Monday is $-3^{\circ }\mathrm{C}$. The temperature at 10 pm on Monday is $-{15}^{\circ }\mathrm{C}$.

A bag contains red balls and green balls. They are in the ratio red balls: green balls = 2:3. A ball is picked at random. Find the probability that it is a red ball.

The stem-and-leaf diagram shows the number of customers entering a shop each day for 20 days.

Key : $3\mid 0$ represents 30 customers

The diagram shows a parallelogram.

The diagram shows a right-angled triangular prism. Complete the net of this prism on the $1{\text{ cm}}^2$ grid. One face has been drawn for you.

The diagram shows a smaller triangle $DEF$ which has vertices on the sides of a larger triangle $ABC$. Find the value of $x$.

Three sisters share $\mathrm{\$}n$ in the ratio $10:3:2$. The smallest share is $\mathrm{\$}120$. Find the value of $n$.

$$9.857\times {10}^{-2}3.5\times {10}^{2}1.54\times {10}^{1}6.5\times {10}^{-2}$$ Write these numbers in order, starting with the smallest.

Calculate the area of this trapezium.

Work out. $$2\frac{5}{6}÷4\frac{1}{4}$$ Write your answer as a fraction in its simplest form.

The grid shows two flags, $F$ and $A$.

$$\mathcal{E}=\{1,2,3,4,5,6,7,8,9,10\}$$ $$A=\{1,3,5,7,9\}$$ $$B=\{1,3,6,10\}$$

Simplify. $$\frac{18x^8}{9x^2}$$

Work out the size of one interior angle of a regular hexagon.

There are two charges for crossing a bridge. $$\begin{array}{rl}{\displaystyle \text{Cars}}& {\displaystyle \mathrm{\$}a}\\ {\displaystyle \text{Other vehicles}}& {\displaystyle \mathrm{\$}b}\end{array}$$ On Monday 4 cars and 20 other vehicles pay a total of $130. On Tuesday 6 cars and 15 other vehicles pay a total of $105. Write down two equations and solve them to find the value of $a$ and the value of $b$.

$B$ is a point on the circle, centre $O$. $ABC$ is a tangent to the circle at $B$ and angle $OAB={36}^{\circ }$. Work out the size of angle $AOB$.

The length, $l$ metres, of a rope is 16.32 metres, correct to 2 decimal places. Complete this statement about the value of $l$. $$\text{...................}⩽l<\text{...................}$$