IGCSE Mathematics 0580 Paper 33, May/June 2026

Write down the letter of the shape that is congruent to the shaded shape.

Find the area of shape B.

Shade some triangles so that the shape has rotational symmetry order 3.

Shade one small triangle so that the shape has two lines of symmetry.

In this sequence the first term and the sixth term are missing. $$\dots \dots ,17,13,8,2,\dots \dots$$ Fill in the first term and the sixth term.

These are the first 4 terms in a different sequence. $$\frac{3}{2},\frac{6}{2},\frac{9}{2},\frac{12}{2},\dots$$ Write down the $n$th term of the sequence.

Multiply by $-2$ This is the term-to-term rule for another sequence. The first term of this sequence is $-1$. Write down the next three terms.

Measure the bearing of town $C$ from town $B$.

Work out the actual distance between town $A$ and town $B$.

Town $D$ is $300\text{ km}$ from town $A$. Town $D$ is $240\text{ km}$ from town $B$. Using a ruler and compasses only, construct the position of town $D$ on the scale drawing.

The bar chart shows the number of hours Kim studies some subjects in one week. Kim studies these 5 subjects for a total of 40 hours. Complete the bar chart.

Work out the percentage of the hours Kim studies geography.

Some students take a history test. The scatter diagram shows the number of hours each student studies history and their test score. Sam studies history for 6 hours and scores 56 in the test. Plot a point on the scatter diagram to represent Sam’s data for this test.

Find the number of people who have a higher test score than Sam.

Draw a line of best fit on the scatter diagram.

Use your line of best fit to estimate the test score for another student who studies history for 7 hours.

$$6=\frac{32.4}{a}$$

$$3y-7=5y-10$$

Find how long it takes Tom to reach Newtown. Give your answer in hours.

Find Tom’s average speed, in km/h, from Alton to Newtown.

Mei leaves Alton at 0830 and drives to Newtown at a constant speed of $40\text{ km/h}$. Draw a line on the travel graph to show Mei’s journey.

Find the distance between Tom and Mei at 0900.

Complete the tree diagram.

Find the probability the spinner lands on 5 both times.

On the diagram, sketch the graph of $y=3x-2$.

Find the gradient of line $L$.

Use set notation to describe the shaded region in the Venn diagram.

$\mathcal{E}=\{\text{A, B, E, H, M, O, Q, R, S, U}\}$ $X=\{\text{R, H, O, M, B, U, S}\}$ $Y=\{\text{S, Q, U, A, R, E}\}$ Use this information to complete the Venn diagram.

List the elements of $X^{\mathrm{\prime }}$.

Find $\mathrm{n}(X\cap Y)$.

Write $0.000571$ in standard form.

Calculate $(3.3\times {10}^6)+(12.4\times {10}^5)$. Give your answer in standard form.

Give the geometrical reason why angle $ABC={90}^{\circ }$.

Calculate $AC$.

Calculate angle $BAC$.