IGCSE Mathematics 0580 Paper 21, Oct/Nov 2023

The diagram shows an isosceles triangle. Find the value of $x$.

The stem-and-leaf diagram shows the time, in minutes, it takes each of 15 people to complete a race. Key: $1\mid 6$ represents 16 minutes Find

Complete these statements.

The table shows some information about Amir’s shopping. Complete the table.

Factorise completely.

For each of 10 people working in an office, the scatter diagram shows their salary and the value of their car.

The exchange rate between Singapore dollars and euros is $1\text{ Singapore dollar}=0.62\text{ euros}$. Find the value of $161.20\text{ euros}$ in Singapore dollars.

Calculate. $$7\frac{3}{11}\times 3\frac{3}{10}$$

Find the highest common factor (HCF) of 140 and 126.

Simplify.

Solve. $$4(2x-3)⩾43+3x$$

Write $0.4\dot{2}$ as a fraction in its simplest form. You must show all your working.

At the end of 2021 there were $27000$ rhinos living in the wild. The number of rhinos is expected to decrease exponentially by $3\mathrm{\%}$ each year. Work out the number of rhinos expected to be living in the wild 4 years later, at the end of 2025. Give your answer correct to the nearest whole number.

By shading the unwanted regions of the grid, draw and label the region R which satisfies these inequalities. $$y>1x⩽2y⩾x+2$$

$P=2w+2h$ $w=11$ and $h=9.5$, both correct to 2 significant figures. Find the lower bound and the upper bound for $P$.

$A$, $B$ and $C$ are points on the circumference of a circle, centre $O$. Tangent $DE$ touches the circle at $C$. Angle $BCE={53}^{\circ }$ and angle $ACO={20}^{\circ }$. Find the value of $x$.

Calculate the value of $y$.

Write as a single fraction in its simplest form.

The diagram shows a cuboid $ABCDEFGH$. $AB=15.1\text{ cm}$, $BC=4.5\text{ cm}$ and $CG=9.2\text{ cm}$. Calculate the angle that the diagonal $BH$ makes with the face $ADHE$.

$ABCD$ is a rhombus with side length $13.6\text{ cm}$. Angle $ABC={41}^{\circ }$. $BAC$ is a sector of a circle with centre $B$. $DAC$ is a sector of a circle with centre $D$. Calculate the shaded area.