IGCSE Mathematics 0580 Paper 11, Oct/Nov 2025

The diagram shows a circle, centre $O$. On the diagram

Write down the mathematical name of this polygon.

In triangle $ABC$, $AB=8\text{ cm}$ and $BC=6.4\text{ cm}$. Using a ruler and compasses only, construct triangle $ABC$. Leave in your construction arcs. The line $AC$ has been drawn for you.

Shade one square so that the diagram has rotational symmetry of order 4.

These are the first four terms of a sequence. 9 5 1 -3

$p=3q-2r$ Work out the value of $q$ when $p=50$ and $r=5$.

The bar chart shows the number of books sold in a shop in each of five months.

The temperature at midnight is $-2^{\circ }\text{C}$. The temperature at noon is $5^{\circ }\text{C}$.

Complete the net of this cuboid on the $1{\text{ cm}}^2$ grid. One face has been drawn for you.

The scale drawing shows the positions of town $A$ and town $B$. The scale is 1 centimetre represents 10 kilometres.

These are the ages, in months, of each of 12 children. 11 27 8 10 26 17 28 12 9 13 22 12

$ABC$ is a straight line and $ABD$ is an isosceles triangle. Work out the value of $x$.

Work out $\frac{11}{18}-\frac{2}{9}$. Give your answer as a fraction in its simplest form.

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of $$\frac{5.3\times 19.5}{2.49}\mathrm{.}$$

Some students take a test. 75 of the students pass the test. This is $\frac{3}{5}$ of the students who take the test. Work out how many students take the test.

Shapes $A$ and $B$ are shown on the grid.

Chocolate cookies Makes 12 100 g flour 55 g butter 55 g sugar 20 g cocoa 1 egg

$\mathcal{E}=\{\text{students in a year group}\}$ $H=\{\text{students who study History}\}$ $G=\{\text{students who study Geography}\}$ 80 students are in the year group. 40 students study History.

Expand and simplify. $$(x+3)(x-2)$$

Write $1.753\times {10}^8$ as an ordinary number.

The diagram shows a semicircle. The radius of the semicircle is $8\text{ cm}$. Find the perimeter of the semicircle. Give your answer in terms of $\pi$ in its simplest form.

Work out $8\frac{2}{3}÷1\frac{5}{8}$. Give your answer as a mixed number in its simplest form.

Jim buys 15 apples and 10 pears for $\mathrm{\$}42.50$. Li buys 4 apples and 5 pears for $\mathrm{\$}16$. Write down a pair of simultaneous equations and solve them to find the cost of one apple and the cost of one pear.