IGCSE Mathematics 0580 Paper 31, May/June 2025

The pictogram shows the number of goals scored by teams $A$, $B$ and $C$.

An angle measures ${157}^{\circ }$. Write down the mathematical name for this type of angle.

Find the value of $\sqrt{1.96}$.

Calculate the number of months in 5 years.

In triangle $ABC$, $AC=6.4\text{ cm}$ and $BC=5.3\text{ cm}$. Using a ruler and compasses only, construct triangle $ABC$. Leave in your construction arcs. The line $AB$ has been drawn for you.

Solve. $$3y=18$$

Represent the inequality $-3<x⩽2$ on the number line.

$\frac{3}{7}0.41\frac{17}{41}42\mathrm{\%}$ Write these numbers in order, starting with the smallest.

A plane leaves Seattle at 0730 on Tuesday and arrives in Seoul 10 hours and 55 minutes later. The local time in Seoul is 16 hours ahead of the local time in Seattle. Work out the day and time in Seoul when the plane arrives.

The equation of line $L$ is $y=5x-3$.

The scale drawing shows the position of ship $A$. The scale is 1 centimetre represents 50 kilometres. Ship $B$ is $300\text{ km}$ from ship $A$ on a bearing of ${105}^{\circ }$. On the scale drawing mark the position of ship $B$.

Tom needs $225\text{ g}$ of flour to make 10 cakes. A shop sells flour in $500\text{ g}$ bags. Work out the number of bags of flour Tom needs to make 70 cakes.

Write down the letter of the graph that shows these lines.

The diagram shows a shape made from a square and four congruent isosceles triangles. Work out the area of this shape.

The volume of a cylinder is $863.5{\text{ cm}}^3$. The height of the cylinder is $12.3\text{ cm}$. Find the radius of the cylinder.

Dara changes 5700 Thai baht to dollars. The exchange rate is $\mathrm{\$}1=34.18Thaibaht$. Calculate the amount that Dara receives.

A four-sided dice is numbered 1 to 4. Hrishi throws the dice 50 times. The results are shown in the table. Calculate the mean.

A tin contains red, yellow, green and brown sweets. The table shows some of the probabilities of picking a sweet of each colour at random. Complete the table.

The diagram shows a right-angled triangle $ABC$. Calculate $BC$.

The population of an island increases from 18400 to 19780. Calculate the percentage increase.

Triangle $ABC$ is mathematically similar to triangle $UVW$. Calculate $AB$.

A bar of gold in the shape of a cuboid has dimensions $2\text{ cm}$ by $4\text{ cm}$ by $6.5\text{ cm}$. The density of gold is $19.32{\text{ g/cm}}^3$. Calculate the mass of this bar of gold. $[\text{Density}=\frac{\text{mass}}{\text{volume}}]$

Li asks 28 students if they speak English ($E$) and if they speak Spanish ($S$). 15 students speak English. 12 students speak Spanish. 6 do not speak English and do not speak Spanish.

The height, $h$ metres, of a building is $105\text{ m}$, correct to the nearest metre. Complete this statement about the value of $h$.

This shape is made from a rectangle and a semicircle. The diameter of the semicircle is $10\text{ cm}$. Calculate the perimeter of this shape.

The diagram shows a right-angled triangle, $PQR$. Calculate angle $QRP$.