IGCSE Mathematics 0580 Paper 13, May/June 2023

Write 928 correct to the nearest ten.

Write down a fraction that is equivalent to $\frac{7}{9}$.

Work out. $$-4+6\times 3$$

Bobby records the number of days a shop is open during 30 days. Complete the table.

Write down the reciprocal of 16 as a decimal.

The stem-and-leaf diagram shows the ages of 21 people.

Key : $1\mid 6$ represents 16 years

Find the total surface area of the cuboid.

The diagram shows a triangular prism. On the $1{\text{ cm}}^2$ grid, draw a net of the prism.

Olga thinks that 87 is a prime number. Is Olga correct? Give a reason for your answer. ......................... because .....................................................................................................................

A film lasts for 2 hours 50 minutes. The film ends at 23 05. Find the time the film starts.

Triangle $ABC$ is isosceles. Angle $BAC={38}^{\circ }$ and $AB=AC$. Find the value of $x$. $$x=\text{................................................}$$

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of $$\frac{6.8\times 10.6}{3.2-0.98}\mathrm{.}$$ You must show all your working.

The scatter diagram shows information about the time spent in a shop and the number of items bought.

Simplify $d^8÷d^2$.

Maddie changes 4000 Swiss francs into dollars when the exchange rate is $\mathrm{\$}1=0.913Swissfrancs$. Work out how many dollars she receives.

Find the highest common factor (HCF) of 32 and 120.

The probability that Tom is late for school is 0.12 . There are 200 school days this year. Work out the expected number of times that Tom is late for school this year.

Expand and simplify. $$(x-5)(x+8)$$

The diagram shows a circle, centre $O$, diameter $AB$. $A$, $B$ and $C$ lie on the circumference of the circle.

A spinner has five sides. Each side is painted red, blue, green, yellow or orange. The table shows some of the probabilities of the spinner landing on each colour.

Vanessa invests $\mathrm{\$}8500$ at a rate of $3.5$ per year compound interest. Calculate the value of her investment at the end of 6 years. Give your answer correct to the nearest dollar.

The diagram shows three shapes, $A$, $B$ and $C$, on a $1{\text{ cm}}^2$ grid. Describe fully the single transformation that maps

Without using a calculator, work out $5\frac{11}{12}+2\frac{1}{4}$. You must show all your working and give your answer as a mixed number in its simplest form.

In this question, both lengths are in centimetres. The diagram shows two lines, $AB$ and $CD$. The length of $AB$ is $10x-12$. The length of $CD$ is $2x+3$. Line $AB$ is 3 times as long as line $CD$. Work out the value of $x$. $$x=\text{................................................}$$