Learn Extracted exam questions IGCSE Mathematics 0580 Mathematics March 2025 Question Paper 12
0580 Mathematics March 2025 Question Paper 12
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Write the number twenty thousand in figures.
Write 0.07
as a percentage
\hrulefill %
as a fraction
in standard form.
Write down all the factors of 18.
Find the value of
$10^3$
$\sqrt{27}$
$7^0$.
On the diagram, draw all the lines of symmetry.
Shade one square so that the diagram has rotational symmetry of order 2.
Find the value of the reciprocal of 0.25 .
Work out $-6 \times -3 + 7 \times 2$.
Write these numbers in order, starting with the smallest.
\begin{itemize} \item $34\%$ \item $\pi$ \item $\frac{1}{3}$ \item $3$ \item $\frac{3}{10}$ \end{itemize}
\underline{\hspace{1.5em}} $<$ \underline{\hspace{1.5em}} $<$ \underline{\hspace{1.5em}} $<$ \underline{\hspace{1.5em}} $<$ \underline{\hspace{1.5em}} \textit{smallest}
A film starts at 19 35. The film lasts for 70 minutes.
Work out the time the film finishes.
A shape is drawn on a $1\text{ cm}^2$ grid.
Find the area of the shape.
$\text{cm}^2$ \hrulefill
On the grid, shade 50% of the shape.
Work out.
$1.95 \times 2.04$
\hrulefill
$3978 \div 204$
\hrulefill
Kat has a method for finding the difference between two square numbers, $a^2 - b^2$. Her method is (the sum of $a$ and $b$) $\times$ (the difference between $a$ and $b$).
She shows her method for $17^2 - 13^2$.
\begin{tabular}{|l|} \hline $17^2 - 13^2$ \ \ $= (17 + 13) \times (17 - 13)$ \ \ $= 30 \times 4$ \ \ $= 120$ \ \hline \end{tabular}
Work out $29^2 - 21^2$ using Kat's method.
In this part, all lengths are in centimetres.
The diagram shows a prism.
Work out the volume of the prism.
\hrulefill $\text{cm}^3$
Convert 8 litres into $\text{cm}^3$.
\hrulefill $\text{cm}^3$
The diagram shows a triangular prism. $ABC$ is an isosceles triangle with $AC = BC$. The perpendicular height of triangle $ABC$ is 4 cm. $AB = 6 \text{ cm}$ and $BD = 6 \text{ cm}$.
Complete this statement.
The prism has \underline{\hspace{1.5em}} faces and \underline{\hspace{1.5em}} edges.
Show that the length of $BC$ is 5 cm.
Complete the net of the prism on the $1\text{ cm}^2$ grid. The base has been drawn for you.
The diagram shows a triangle $BCD$ and a straight line $ABC$. $DB=DC=BC$.
Write down the mathematical name for triangle $BCD$.
Work out the value of $y$. Give two geometrical reasons for your answer.
$y = \hrulefill$ because
- \hrulefill
- \hrulefill
Jill records the temperature and the number of people on a beach for each of ten days. The results are shown in the scatter diagram.
Number of people Temperature
What type of correlation is shown in the scatter diagram?
Describe the relationship between the temperature and the number of people on the beach.
Line $L$ is shown on the grid.
Find the equation of line $L$ in the form $y = mx + c$.
$y = \hrulefill$
Line $L$ crosses the $x$-axis at $P$.
Find the coordinates of $P$.
$(\hrulefill , \hrulefill)$
Complete the table of values for $y = \frac{12}{x}$.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline $x$ & $-6$ & $-4$ & $-3$ & $-2$ & $-1$ & & $1$ & $2$ & $3$ & $4$ & $6$ \ \hline $y$ & & $-3$ & & $-6$ & & & & $6$ & & $3$ & \ \hline \end{tabular}
On the grid, draw the graph of $y = \frac{12}{x}$ for $-6 \leq x \leq -1$ and $1 \leq x \leq 6$.
On the grid, draw the line $y = -9$.
Use your graph to solve $\frac{12}{x} = -9$.
$x = \hrulefill$
$n$ is an odd number.
Write down the values of $n$ that satisfy $7 < n \leq 15$.
Pip thinks $-1 < x < 8$ is the inequality represented on the number line.
Complete the statement.
Pip’s inequality is not correct because \hrulefill
The height, $h$ metres, of a building is $635\text{ m}$, correct to the nearest metre.
Complete this statement about the value of $h$.
\underline{\hspace{1.5em}} $\leq h <$ \underline{\hspace{1.5em}}
Find the value of $X$ when $w = 5$ and $p = 6$.
$X = \hrulefill$
Make $p$ the subject of the formula.
$p = \hrulefill$
Work out $1 \frac{7}{15} - \frac{4}{5}$.
Give your answer as a fraction in its simplest form.
Mai buys two batteries. The probability that a battery is faulty is $\frac{1}{10}$.
Complete the tree diagram.
\begin{tabular}{ccc} First battery & & Second battery \ & & \underline{\hspace{1.5em}} Faulty \ & Faulty & \ $\frac{1}{10}$ & & \underline{\hspace{1.5em}} Not faulty \ & & \ \underline{\hspace{1.5em}} & & \underline{\hspace{1.5em}} Faulty \ & Not faulty & \ & & \underline{\hspace{1.5em}} Not faulty \ \end{tabular}
Find the probability that Mai buys two faulty batteries.
A shop sells 3000 batteries in one month.
Work out the expected number of faulty batteries the shop sells.
A circle has radius $7\text{ cm}$. A square has side $x\text{ cm}$. The circumference of the circle is the same length as the perimeter of the square.
Find the value of $x$. Give your answer in terms of $\pi$.
$x = \hrulefill$
NOT TO SCALE
Triangle $ABC$ is mathematically similar to triangle $PQR$.
Show that $QR = 14\text{ cm}$.
Solve the simultaneous equations.
$t = \hrulefill$ $w = \hrulefill$