IGCSE Mathematics 0580 Paper 32, May/June 2025

Work out the total cost, in dollars, of 3 kg of apples and 7 bananas.

Work out the change from $20.

Work out the time the train arrives at station B.

The distance between station A and station B is 210 km. Calculate the average speed of the train in km/h.

Work out the probability that she does not pick a green counter.

The bag contains three colours of counters, green, pink and red. Colour of counter | Green | Pink | Red Probability | 0.52 | | There are three times as many pink counters as red counters. Complete the table.

Flo picks one counter from the bag at random, records the colour and replaces it in the bag. She does this 200 times. Calculate the expected number of times she picks a green counter.

The value of $x$ is .......................... because ................................................................................. .....................................................................................................................................................

Angle $ABC={90}^{\circ }$ because ......................................................................................................... .....................................................................................................................................................

The value of $y$ is .......................... because ................................................................................. .....................................................................................................................................................

Kim and Tom ask some students if they prefer Chemistry, Biology or Physics. Kim draws the bars for Biology and Physics on a bar chart. Tom draws the sector for Chemistry on a pie chart. Use the information from both diagrams to complete the bar chart

the pie chart.

Give one advantage of reading results from a bar chart compared to from a pie chart.

2, e, f, 20, … A linear sequence has a first term of 2 and a fourth term of 20. The term-to-term rule for this sequence is add $k$. Work out the values of $e$, $f$ and $k$.

These are the first four terms of another sequence. 9 7 5 3 Find the $n\text{th}$ term.

$P=6a+5b$ Find the value of $b$ when $P=25$ and $a=3$.

Make $T$ the subject of the formula $W=kT+y$.

Write down the gradient of this line.

Find the coordinates of the point where this line crosses the $y$-axis.

Sam spends $187 on electricity and gas. The ratio electricity : gas = 8 : 3 . Work out how much Sam spends on electricity.

Jai spends $180 on electricity and $150 on gas. Write down the ratio electricity : gas in its simplest form.

Kat spends money on electricity and gas in the ratio electricity : gas = $E:G$. Write down an expression, in terms of $E$ and $G$, for the fraction she spends on gas.

Convert this rate into grams per second.

The rate is increased to 176 kilograms per hour. Calculate the percentage increase in the rate.

Write 0.0000000347 in standard form.

Calculate $3\times {10}^4\times 5\times {10}^6$. Give your answer in standard form.

$x+3=3$

$\frac{5y}{3}=8$

$(w^3{)}^{10}$

$t^6{v}^7\times t^3{v}^{-2}$

Write down an expression, in terms of $x$, for the perimeter of the triangle. Give your answer in its simplest form.

The perimeter of the triangle is 40 cm. Work out the value of $x$.

Work out the area of the triangle.