IGCSE Mathematics 0580 Paper 22, May/June 2024

The temperature at midnight is $-4{}^{\circ }\mathrm{C}$. The temperature at noon is $25{}^{\circ }\mathrm{C}$. Work out the difference between these two temperatures.

A gardener charges $6.55 for each hour he works plus a fixed charge of $15.50 . Calculate the total amount he charges when he works for 4 hours.

A delivery driver records the number of pizzas she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52

Jonah has $750. He spends $\frac{1}{4}$ of this money on travel and some of this money on food. He now has $437.50 . Work out the fraction of the $750 he spends on food.

The table shows part of a tram timetable. All the trams take the same number of minutes to complete the journey from Newpoint to Westhill. Complete the table.

Write 0.04628 correct to 2 significant figures.

On the Venn diagram, shade the region $A\cup B$.

Kai invests $5000 in an account paying simple interest at a rate of $r$ per year. At the end of 8 years, the value of his investment is $5700. Find the value of $r$.

Write 174000 in standard form.

A company surveys 40 of its employees. In the survey, 3 employees say they walk to work. The company has a total of 1240 employees. Find the expected number of employees in the company who walk to work.

The diagram shows a right-angled triangle. Calculate the value of $x$.

Without using a calculator, work out $2\frac{1}{4}÷1\frac{7}{8}$. You must show all your working and give your answer as a mixed number in its simplest form.

$A$ is the point $(0,2)$ and $B$ is the point $(8,6)$. Find the equation of line $AB$. Give your answer in the form $y=mx+c$.

Three towns, $A$, $B$ and $C$, are equidistant from each other. The bearing of $C$ from $A$ is ${104}^{\circ }$. Calculate the bearing of $B$ from $C$.

The speed–time graph shows information about a car journey.

$W=\{\text{students who walk to school}\}$ $G=\{\text{students who wear glasses}\}$ There are 20 students in a class. • 8 walk to school • 3 wear glasses and walk to school • 2 do not wear glasses and do not walk to school. Complete the Venn diagram.

The graph of $y=\mathrm{f}(x)$ is drawn on the grid.

Two parcels are mathematically similar. The larger parcel has volume $80{\text{ cm}}^3$ and height $5.2\text{ cm}$. The smaller parcel has volume $33.75{\text{ cm}}^3$. Calculate the height of the smaller parcel.

Solve the simultaneous equations. You must show all your working. $$4y+3x=13$$ $$y=x^2-18$$

The Venn diagram shows information about the number of students in a class. Some study English ($E$), some study French ($F$), some study Spanish ($S$) and some do not study any of these languages.

$O$ is the origin and $OPQR$ is a parallelogram. $M$ is the midpoint of $PQ$ and $N$ divides $QR$ in the ratio $2:1$. $\overrightarrow{OP}=\mathbf{a}$ and $\overrightarrow{OR}=\mathbf{b}$.