IGCSE Mathematics 0580 Paper 32, May/June 2026

Write the number four hundred thousand and fifty-three in figures.

A vase costs $5.45 . Tim has $35. Work out the maximum number of vases Tim can buy and the change he receives.

Calculate.

There are 4 adults and 3 children in a room. The height of the shortest adult is 1.59 m. The range of the adults' heights is 0.25 m. The height of the tallest child is 1.43 m. The range of the children's heights is 0.38 m.

Explain why 39 is not a prime number.

Sian uses 2.7 litres of paint to cover $\frac{3}{5}$ of a wall. Work out the total amount of paint she uses to cover the whole wall.

The scale drawing shows the position of a town, $T$. The scale is 1 centimetre represents 20 kilometres. A village, $V$, is 94 km from $T$ on a bearing of ${112}^{\circ }$. Mark the position of $V$ on the map.

Pip changes 500 euros into dollars when the exchange rate is $\mathrm{\$}1=0.95euros$. Calculate the amount Pip receives.

Dave invests $\mathrm{\$}8500$ at a rate of 4.5% per year simple interest. Calculate the total interest earned at the end of 3 years.

A cuboid has length 10.8 cm, width 3.7 cm and height 4.6 cm. Work out the volume of the cuboid. Give your answer correct to 1 decimal place.

Factorise. $x^2+7x$

There are 60 counters in a jar. Kan adds $C$ counters into the jar. Mo adds $2C+7$ counters into the jar.

The $n\text{th}$ term of a sequence is $3n-1$.

The probability that a team wins a match is 0.4 .

The diagram shows a compound shape made from two rectangles.

Zac asks some students if they prefer algebra, geometry or statistics. 35% of the students prefer algebra. $\frac{2}{9}$ of the students prefer geometry. The rest of the students prefer statistics. Use the information to complete the pie chart.

A metal rectangle is 25 cm by 60 cm. 12 circles, each with radius 5 cm, are cut out of the metal. Calculate the percentage of the metal remaining.

Sam leaves home at 1430 and drives 106 km to town $A$. His average speed is $40\text{ km/h}$. Calculate the time he arrives at town $A$.

Find the lowest common multiple (LCM) of 54 and 90.

The mass, $m$ grams, of some butter is 650 grams, correct to the nearest 50 grams. Complete this statement about the value of $m$. $\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \cdots ⩽m<\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots$

A sphere has radius 6 cm. Work out the surface area of the sphere. Give the units of your answer.

Draw a ring around any irrational numbers that are in the list. $${331776}^{0.25}\sqrt{0.4}\frac{7}{13}{6432.89}^{17}$$

The diagram shows a right-angled triangle, $PQR$. $S$ lies on side $PR$. Angle $PQS={31}^{\circ }$ and angle $RQS={44}^{\circ }$. $QS=23\text{ cm}$. Calculate $PR$.