IGCSE Mathematics 0580 Paper 12, Oct/Nov 2024

Write the number half a million in figures.

Anton records the colour of each car in a car park. His results are shown in the table. On the grid, draw a bar chart to show this information. Complete the scale on the frequency axis.

Solve.

The diagram shows a regular polygon.

Write 53 683.588 correct to

Triangle $ABC$ has sides $AC=4.2\text{ cm}$ and $BC=5.6\text{ cm}$. Using a ruler and compasses only, construct triangle $ABC$. Leave in your construction arcs. The side $AB$ has been drawn for you.

Put one pair of brackets in each calculation to make it correct.

Simplify. $$8c-d-3c+3d$$

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

0.25 3.142 $\sqrt{3}$ -3 24 -0.4 1.2 $-\frac{1}{4}$ Complete each statement with a number from the list. .................................................. is a natural number. .................................................. is an irrational number. .................................................. is the reciprocal of 4.

The temperature in town $A$ is $-8{}^{\circ }\mathrm{C}$ and the temperature in town $B$ is $16{}^{\circ }\mathrm{C}$.

The scale drawing shows the positions of two ships, $A$ and $B$. The scale is $1\text{ cm}$ represents $6\text{ km}$.

The scatter diagram shows the number of rooms and the number of people in each of eight buildings.

The diagram shows a trapezium. The area of the trapezium is $42{\text{ cm}}^2$. Calculate the value of $x$.

In a league, teams gain 4 points for each win, 2 points for each draw and bonus points. A team has $x$ wins, $y$ draws and $b$ bonus points. Write down an expression, in terms of $x$, $y$ and $b$, for the total number of points the team has.

Dana invests $3600 at a rate of 3.8% per year compound interest. Calculate the value of her investment at the end of 5 years.

The diagram shows a parallelogram. Work out the size of the smallest interior angle of the parallelogram.

Simplify. $$\frac{18x^6}{3x^2}$$

$\overrightarrow{AB}=\left(\begin{array}{c}3\\ -2\end{array}\right)$ Mark point $A$ on the grid.

Points $A$ and $B$ lie on a circle, centre $O$ and radius $r$. The area of the circle is $120{\text{ cm}}^2$. Find the area of the right-angled triangle $AOB$.

Without using a calculator, work out $2\frac{3}{4}\times 1\frac{1}{2}$. You must show all your working and give your answer as a mixed number in its simplest form.

Solve the simultaneous equations. You must show all your working. $$2x+7y=34$$ $$3x+5y=18$$