IGCSE Mathematics 0580 Paper 11, May/June 2023

Work out the number of months in 5 years.

Write 3752 correct to the

Magazines cost $3.40 each. Rosina has $15 to buy as many magazines as possible. Complete the statement. Rosina can buy ................. magazines and will have $ ................. left.

Write down the mathematical name of a 4-sided shape that has rotational symmetry of order 2 and no lines of symmetry.

21 8 15 32 3 29 19 45 8 Calculate the mean of these numbers.

A train journey starts at 21 43. It takes 8 hours and 32 minutes. Find the time the journey finishes.

Write these numbers in order, starting with the smallest. $$\frac{15}{213}0.0710.77\mathrm{\%}$$

Write the fraction $\frac{24}{84}$ in its simplest form.

Simplify. $$3a-5b-a-6b$$

The cost of hiring a bicycle, $\mathrm{\$}C$, for $y$ hours is given by the formula $C=12+3.5y$. Maria pays $\mathrm{\$}36.50$ to hire this bicycle. Work out the number of hours she hires the bicycle for.

$$\mathbf{a}=\left(\begin{array}{c}3\\ 7\end{array}\right)\mathbf{b}=\left(\begin{array}{c}-2\\ 5\end{array}\right)$$ Work out $\mathbf{a}-2\mathbf{b}$.

Calculate the volume of a sphere with diameter $4.8\text{ cm}$. [The volume, $V$, of a sphere with radius $r$ is $V=\frac{4}{3}\pi r^3$.]

By writing each number in the calculation correct to 1 significant figure, work out an estimate for the value of $$\frac{6.7\times 2.1}{18-5.9}\mathrm{.}$$ You must show all your working.

Eric has four colours of paint. The table shows the probability that he uses each colour.

Find the value of $x$.

Factorise completely. $$8x^2-20x$$

The length, $l$ metres, of a piece of wood is $3.6$ metres, correct to the nearest 10 centimetres. Complete this statement about the value of $l$. ................... $⩽l<$ ...................

Calculate $1÷(6.4\times {10}^{-5})$. Give your answer in standard form.

Without using a calculator, work out $2\frac{1}{7}÷\frac{5}{9}$. You must show all your working and give your answer as a mixed number in its simplest form.

The diagram shows a right-angled triangle. Use the information in the diagram to write down and solve an equation to find the value of $x$.

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

Triangle $ABC$ is similar to triangle $DEF$. Calculate the value of $h$.

$\mathcal{E}=\{a,b,c,d,e,f,g,h,i,j,k\}$ $F=\{f,a,c,e\}$ $B=\{b,a,c,k\}$

At a cinema, an adult ticket costs $\mathrm{\$}a$ and a child ticket costs $\mathrm{\$}c$.