IGCSE Mathematics 0580 Paper 13, Oct/Nov 2024

Write 6475 correct to the nearest ten.

Write 0.75 as a fraction.

A piece of string has length 65.1 cm. The string is cut into 7 equal pieces. Find the length of each piece.

7 19 8 12 3 12 9 7 12 Find the mode of these numbers.

A bag contains 6 red balls, 4 green balls and 2 blue balls. Zia takes a ball from the bag at random. Write down the letter from the probability scale that shows the probability that

These are the first four terms of a sequence. 19 26 33 40

Simplify. $$3p-t-p-4t$$

61 62 63 64 65 66 67 68 69 From the list of numbers, write down

The scale drawing shows the positions of town $K$ and town $L$. The scale is 1 cm represents 10 km.

The surface area of a cube is $121.5{\text{ cm}}^2$. Calculate the length of one side of the cube.

Write down the equation of a line parallel to the line $y=2x$.

Each student in a class of 20 students records the number of coins in their pockets. The table shows the results. | Number of coins | 0 | 1 | 2 | 3 | 4 | 5 | 6 | | Frequency | 3 | 1 | 7 | 8 | 0 | 0 | 1 |

Expand $4(x-3)$.

Find the size of an interior angle of a regular 15-sided polygon.

Rio buys some pens. He sells 63 pens, which is $\frac{7}{9}$ of the pens he buys. Work out how many pens he buys.

Ed has $n$ books. Sam has 3 times as many books as Ed Jane has 2 books fewer than Sam. The total number of books is 54. Use this information to write down an equation and solve it to find the value of $n$.

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

$\mathcal{E}=\{\text{workers in an office}\}$ $C=\{\text{workers who drink coffee}\}$ $T=\{\text{workers who drink tea}\}$ 47 people work in the office. 32 people drink tea.

The weight, $w$ grams, of a box is 463.9 grams, correct to 1 decimal place. Complete the statement about the value of $w$. ............................ $⩽w<$ ............................

Calculate $(6.4\times {10}^5)÷(2.5\times {10}^{-7})$. Give your answer in standard form.

Mia invests $1270 for 5 years at a rate of 2.1% per year compound interest. Calculate the value of her investment at the end of the 5 years.

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

Shape $A$ is mathematically similar to shape $B$. Calculate the value of $x$.