IGCSE Mathematics 0580 Paper 32, Oct/Nov 2023

The bar chart shows the number of goals scored by a team in each of 5 months. In February, 12 goals are scored. Complete the bar chart.

How many more goals were scored in January than in October?

Find the range of the number of goals scored.

The team shop is open from 0900 to 17 15 on Monday to Friday only. Work out how long the shop is open each week. Give your answer in hours and minutes.

Bruno buys a shirt for $36 and a scarf for $12.25 . He pays with a $50 note. Work out how much change he receives.

Ticket prices Adult $35 Child $20 Senior $25 Calculate the cost of 150 adult tickets, 70 child tickets and 30 senior tickets.

Calculate the percentage of these tickets that are senior tickets.

A game starts at 15 00. The team plays for 90 minutes. There is also a break of 15 minutes. Find the time the game ends.

Write down the mathematical name for this polygon.

Write down the mathematical name for this quadrilateral.

Write down the mathematical name for this type of angle.

Measure the size of this angle.

Draw the lines of symmetry on this rectangle.

A cuboid measures $6\text{ cm}$ by $3\text{ cm}$ by $2\text{ cm}$. Work out the volume of the cuboid.

Draw a net of the cuboid on the $1{\text{ cm}}^2$ grid. One face has been drawn for you.

Write the number fourteen thousand and ninety-seven in figures.

Write down a common multiple of 17 and 5.

Write 0.25 as a percentage.

Find the value of $7^5$.

Find the value of $8^0$.

Ranjit buys some plants and sells $\frac{5}{11}$ of them. He sells 190 plants. Work out how many plants he buys.

Factorise completely. $$15x^{3}y-3x$$

Make $n$ the subject of the formula $V=3n+t$.

$$7^{15}÷7^x=7^9$$ Find the value of $x$.

Complete the table of values for $y=x^2-4x-2$.

On the grid, draw the graph of $y=x^2-4x-2$ for $-2⩽x⩽5$.

Use your graph to solve the equation $x^2-4x-2=0$.

How many cars are red?

35 cars are grey. Show, by calculation, that the sector angle for grey is ${25.2}^{\circ }$.

175 cars are white and 150 cars are black. Complete the pie chart to show this information.

Find the probability that a car chosen at random is not grey. Give your answer as a fraction in its simplest form.

Another 320 cars cross the bridge. How many of these 320 cars are expected to be white?

Heidi also records the number of people in each car crossing the bridge for one hour.

Calculate the mean.

Simplify. $$a+4a-3a$$

Simplify. $$8b-4\times 7b$$

The perimeter of this shape is equal to the perimeter of a square. Find an expression for the length of one side of the square. Give your answer in its simplest form.

Victoria buys 5 cups of tea and 4 cakes for $15.69 . Isabella buys 3 cups of tea and 7 cakes for $17.97 . Write down a pair of simultaneous equations and solve them to find the cost of one cup of tea and the cost of one cake. You must show all your working.

Elize invests $5000. Lily invests $8000. Marco invests $3000. After one year they make a profit of $40\,000. They share this profit in the ratio of their investments. Work out how much they each receive.

Lily buys 20 rolls of ribbon. 8 are red, 6 are blue, 4 are yellow and 2 are pink. A roll of ribbon is chosen at random. On the probability scale, draw an arrow ($\downarrow$) to show the probability that this roll is yellow

not red

green.

The length, $l\text{ m}$, of a roll of ribbon is $120\text{ m}$, correct to the nearest metre. Complete this statement about the value of $l$.

Elize buys some picture frames. The frames cost $5.80 each in New York and 4.50 euros each in Paris. The exchange rate is 1 euro = $1.37 . Calculate the difference in the cost in euros. Give your answer correct to 2 decimal places.

The picture is a circle with diameter $18\text{ cm}$. The frame is a square of side length $18\text{ cm}$. Calculate the shaded area.

Elize buys the framed picture for $12.50 . She sells the framed picture for $20.25 . Calculate the percentage profit.

In triangle $RST$, $RT=7\text{ cm}$ and $ST=4\text{ cm}$. Using a ruler and compasses only, construct triangle $RST$. Leave in your construction arcs. The line $RS$ has been drawn for you.

Measure the distance from $S$ to the midpoint of $RT$. Give your answer in millimetres.

Town $A$ is $8.5\text{ cm}$ from town $B$ on a map. The scale of the map is $1:50000$. Calculate the actual distance from town $A$ to town $B$. Give your answer in kilometres.

The diagram shows triangle $BCE$ and a straight line $ABCD$. $BE=CE$ and angle $DCE={118}^{\circ }$. Find the value of $x$.

The diagram shows a right-angled triangle $ABC$. Show that $BC$ is $7.5\text{ cm}$, correct to 2 significant figures.

Describe fully the single transformation that maps triangle $A$ onto triangle $B$.

Describe fully the single transformation that maps triangle $A$ onto triangle $C$.

On the grid, translate triangle $A$ by the vector $\left(\begin{array}{c}6\\ -4\end{array}\right)$.

On the grid, reflect triangle $A$ in the line $y=-2$.