IGCSE Mathematics 0580 Paper 11, May/June 2026

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0580/11 · May/June 2026

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1.694 $\sqrt{18}$ 6 6.666 7 $\sqrt{225}$ 25 27 39 56 1000 From the list of numbers, write down

an even number

[1]

a factor of 28

[1]

a square number

[1]

a prime number

[1]

an irrational number.

[1]

Bella is $b$ years old. Alan is 5 years older than Bella. Write an expression, in terms of $b$ , for how old Alan is.

[1]

Write an expression for the total cost, in cents, of $x$ bags of sweets costing 65 cents each.

[1]

Measure angle $a$ .

[1]

Write down the mathematical name for this type of angle.

[1]

Points $A$ and $B$ lie on a circle, centre $O$ , as shown in the diagram. Write down the mathematical name for line $A B$ .

[1]

A quadrilateral has • four equal sides • no right angles • opposite angles that are equal. Write down the mathematical name for this quadrilateral.

[1]

Write $\frac{1}{2}$ as a decimal.

[1]

Write $\frac{9}{10}$ as a percentage.

[1]

Write 0.15 as a fraction in its simplest form.

[1]

Triangle $A B C$ has sides $A C = 7.4 cm$ and $B C = 4.6 cm$ . Using a ruler and compasses only, construct triangle $A B C$ . Leave in your construction arcs. The side $A B$ has been drawn for you.

[2]

a(i)

Two fair 4-sided dice have faces numbered 1 to 4. The dice are thrown, and the numbers are multiplied to give a total. The table shows all the possible results. Find the probability the total is 12

[1]

a(ii)

[1]

a(iii)

a number that is less than 20.

[1]

A biased 6-sided dice, numbered 1 to 6, is thrown. The probability of scoring the number 6 is 0.2 . Work out the probability of scoring a number less than 6.

[1]

In a town, the lowest temperature one night is $- 12.6^{\circ} C$ . The highest temperature the next day is $25.7^{\circ} C$ . Calculate the difference between these two temperatures.

[1]

When Ahmed gets out of bed he takes • 12 minutes to get dressed • 26 minutes to eat breakfast • 37 minutes to walk to the station. Ahmed must be at the station by 09 45. Work out the latest time Ahmed can get out of bed.

[2]

The diagram shows two straight lines intersecting two parallel lines. Complete each of these statements with the correct geometrical reason. $x = 67$ because .......................................................................................................................................... $y = 81$ because ..........................................................................................................................................

[2]

On the $1 {cm}^{2}$ grid, complete a net of this cuboid. One face has been drawn for you.

[3]

The stem-and-leaf diagram shows the lengths, in centimetres, of 32 wooden planks. key : 23 | 3 represents 233 cm

Find the range.

[1]

Find the mode.

[1]

Find the median.

[1]

Find the fraction of all these planks which are less than 236 cm. Write your answer as a fraction in its simplest form.

[2]

By writing each number in the calculation correct to 1 significant figure, work out an estimate for the value of $\frac{9.57 \times 3.84}{6.72 + 1.13}$

[2]

A bag contains 45 balls. The balls are red or green. The balls are in the ratio $red balls : green balls = 2 : 3$ . Carlos puts 4 more red balls and $x$ more green balls into the bag. The balls are now in the ratio $red balls : green balls = 1 : 2$ . Find the value of $x$ .

[4]

a(i)

60 people complete a survey about hobbies. 41 people like reading books ( $R$ ). 31 people like cookery ( $C$ ). 11 do not like reading books and do not like cookery. Complete the Venn diagram.

[2]

a(ii)

One of these 60 people is picked at random. Find the probability that they like cookery but they do not like reading books.

[1]

Shade $A \cap B$ .

[1]

Buses at a station go to Alve or to Riba. Buses leave every 16 minutes for Alve. Buses leave every 28 minutes for Riba. At 08 25 a bus for Alve and a bus for Riba leave the station together. Find the next time a bus for Alve and a bus for Riba leave the station together.

[3]

Work out. $2 \frac{1}{6} - 1 \frac{3}{5}$ Write your answer as a fraction in its simplest form.

[3]

Complete the table of values for $y = x^{2} + x - 3$ .

[2]

On the grid, draw the graph of $y = x^{2} + x - 3$ for $- 4 ⩽ x ⩽ 4$ .

[4]

Write down the equation of the line of symmetry of the graph.

[1]

Use your graph to solve the equation $x^{2} + x - 3 = 0$ .

[2]

On the grid, draw the image of triangle $T$ after a translation by the vector $(\begin{array}{c} 3 \\ - 6 \end{array})$ .

[2]

On the grid, draw the image of triangle $T$ after a reflection in the line $y = - 1$ .

[2]

Describe fully the single transformation that maps triangle $T$ onto triangle $A$ .

[3]

Describe fully the single transformation that maps triangle $T$ onto triangle $B$ .

[3]

The diagram shows line $L$ on a grid. Find the equation of line $L$ in the form $y = m x + c$ .

[3]

Make $T$ the subject of the formula. $P = T y$

[1]

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

[2]

The time, $t$ seconds, for the winner of a race is 12.7 seconds, correct to 3 significant figures. Complete this statement about the value of $t$ . ......................... $⩽ t <$ .........................

[2]

Solve the simultaneous equations. $3 x + 4 y = 1$ $2 x - 3 y = 12$

[4]

Mark scheme

0580/11 · May/June 2026

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1a · 1 mark

1 mark
6 or 56 or 1000

1b · 1 mark

1 mark
7

1c · 1 mark

1 mark
25

1d · 1 mark

1 mark
7

1e · 1 mark

1 mark
$\sqrt{18}$

2a · 1 mark

1 mark
$b + 5$ oe final answer

2b · 1 mark

1 mark
$65 x$ oe final answer

3a · 1 mark

1 mark
46

3b · 1 mark

1 mark
acute

4a · 1 mark

1 mark
chord

4b · 1 mark

1 mark
rhombus

5a · 1 mark

1 mark
[0].5

5b · 1 mark

1 mark
90

5c · 1 mark

1 mark
$\frac{3}{20}$ cao

6 · 2 marks

2 marks
Correct triangle with correct arcs

7a(i) · 1 mark

1 mark
$\frac{1}{8}$ oe

7a(ii) · 1 mark

1 mark
0

7a(iii) · 1 mark

1 mark
1

7b · 1 mark

1 mark
0.8

8 · 1 mark

1 mark
38.3

9 · 2 marks

2 marks
08 30 or 8 30am

10 · 2 marks

2 marks
Alternate angles are equal Corresponding angles are equal

11 · 3 marks

3 marks
Fully correct net

12a · 1 mark

1 mark
31

12b · 1 mark

1 mark
241

12c · 1 mark

1 mark
247

12d · 2 marks

2 marks
$\frac{1}{8}$ cao

13 · 2 marks

M1
$\frac{10 \times 4}{7 + 1}$
A1
5 final answer

14 · 4 marks

4 marks
17

15a(i) · 2 marks

2 marks
Venn diagram with regions: 11 outside, 18 in $R$ only, 23 in intersection, 8 in $C$ only

15a(ii) · 1 mark

1 mark
$\frac{8}{60}$ oe

15b · 1 mark

1 mark
Venn diagram with region $R \cap C$ shaded

16 · 3 marks

3 marks
10 17

17 · 3 marks

3 marks
$\frac{17}{30}$ cao final answer

18a · 2 marks

2 marks
3 3 17

18b · 4 marks

4 marks
Correct curve

18c · 1 mark

1 mark
$x = - \frac{1}{2}$ oe

18d · 2 marks

2 marks
–2.4 to –2.2 and 1.2 to 1.4

19a · 2 marks

2 marks
Correct triangle at (4, –5), (5, –5), (4, –2)

19b · 2 marks

2 marks
Correct triangle at (1, –3), (2, –3), (1, –6)

19c · 3 marks

3 marks
Enlargement [centre] (5, 4) [sf] 2

19d · 3 marks

3 marks
Rotation [centre] (0, 0) 90° clockwise

20 · 3 marks

3 marks
[ $y =$ ] – 0.3x + 4 oe

21a · 1 mark

1 mark
[ $T =$ ] $\frac{P}{y}$ final answer

21b · 2 marks

2 marks
$x^{2} + 3 x - 40$

22 · 2 marks

2 marks
12.65 12.75

23 · 4 marks

4 marks
[ $x =$ ] 3 [ $y =$ ] –2 nfww

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