IGCSE Mathematics 0580 Paper 12, May/June 2026

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Question paper

0580/12 · May/June 2026

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1

Write down the value of 81.

[1]
2
a

Add 63 and 28.

[1]
b

Work out 50% of 526.

[1]
3
a

Write 35% as a decimal.

[1]
b

Write 45 as a percentage.

[1]
4

The diagram shows a shape drawn on a 1 cm2 grid. By counting squares, estimate the area of the shape.

[1]
Figure 1 of 1 for question 4
5
a

Write 65432 correct to the nearest hundred.

[1]
b

Write 0.04857 correct to 3 decimal places.

[1]
6

Put one pair of brackets into each calculation to make it correct.

a

7×3−2×4=28

[1]
b

9−80÷8−6=5

[1]
7
Figure 1 of 1 for question 7
a

Write down the fraction of the rectangle that is shaded. Give your answer in its simplest form.

[2]
b

On the diagram, shade some more squares so that 16 of the rectangle is not shaded.

[1]
8

Work out the area of the triangle.

[1]
Figure 1 of 1 for question 8
9

The stem-and-leaf diagram shows the time, in minutes, it takes 20 students to eat lunch.

07 8 9
11 3 5 6 9
23 4 5 5 7 8 8 9
31 2 2 9

key : 3∣1 represents 31 minutes Complete these statements.

a

.............................. students took between 10 and 30 minutes to eat lunch.

[1]
b

.............................. % of the students took less than 18 minutes to eat lunch.

[1]
c

The slowest student took .............................. minutes longer than the quickest student.

[1]
10

Phil has 7y−52 toy cars. Ann has 78−6y toy cars. Phil and Ann have the same number of cars.

a

Write down an equation to show this information.

[1]
b

Solve your equation and work out the number of cars they each have.

[3]
11

Complete these statements.

a

2 kg is the same as .............................. g.

[1]
b

7 cm2 is the same as .............................. mm2.

[1]
12

To make a solid, a net is drawn on the 1 cm2 grid.

Figure 1 of 1 for question 12
a

Write down the mathematical name for the solid.

[1]
b

Point X is marked on the diagram. When the net is folded, there are two other points that meet at X. On the diagram, mark each of these two points with an X.

[2]
13

A trapezium, T, is drawn on the 1 cm2 grid. On the grid, draw

a

a different trapezium that is mathematically similar to trapezium T

[1]
b

a rectangle with the same area as trapezium T.

[2]
14

The total number of apples and oranges in a bowl is 20. The ratio apples:oranges=7:3. Work out the number of apples.

[2]
15

Write down two geometrical properties of a parallelogram.

[2]
16

Find the value of the reciprocal of 0.8 .

[2]
17
a

Two of the angles in a triangle are 100∘ and 30∘. Work out the size of the third angle.

[1]
b

Work out the size of an interior angle of a regular 10-sided polygon.

[2]
18
a

Simplify. 3x−2y+5x+7y

[2]
b

Expand the brackets and simplify. (3x+5)(x−7)

[2]
19

Line L has the equation y=3x+7.

a

Write down the gradient of line L.

[1]
b(i)

Point P and point W lie on line L. P has coordinates (4,p) and W has coordinates (w,−11). Work out the value of p.

[1]
b(ii)

Work out the value of w.

[2]
20

Write down the inequality represented on the number line.

[2]
21

These are the first four diagrams in a sequence. The diagrams are made using grey squares and white squares.

Figure 1 of 3 for question 21
Figure 2 of 3 for question 21
Figure 3 of 3 for question 21
a

Draw diagram 5 on the grid.

[1]
b

Complete the table for diagram 4 and diagram n.

diagram1234n
number of grey squares123
number of white squares026n(n−1)
total number of squares149
[4]
c

Complete this statement. A diagram in this sequence can not have a total number of 120 squares because ............................ .....................................................................................................................................................

[1]
22

A bag contains 7 pink blocks and 5 green blocks. Kay picks a block at random, notes its colour and puts it back in the bag. She does this a second time.

a

Complete the tree diagram.

[2]
b

Use the tree diagram to work out the probability that the two blocks are green.

[2]
23

The circumference of a circle is 18π cm. Work out the radius of the circle.

[2]
24

A group of 4 children have a mean age of 11. A fifth child joins the group, and the mean age is now 10. Calculate the age of the fifth child.

[3]
25

E={1,2,3,4,5,6,7,8,9} P={prime numbers} N={odd numbers}

Figure 1 of 1 for question 25
a

Complete the Venn diagram.

[2]
b

Write down n(P∪N).

[1]
26

Write these numbers in standard form.

a

6320

[1]
b

0.0258

[1]
27

Work out 313−134. Give your answer as a mixed number in its simplest form.

[3]
28

Make T the subject of the formula. Q=3−4T

[2]
29

The diagram shows three shapes, A, B and C, on a grid.

Figure 1 of 3 for question 29
Figure 2 of 3 for question 29
Figure 3 of 3 for question 29
a(i)

Describe fully the single transformation that maps shape A onto shape B

[2]
a(ii)

Describe fully the single transformation that maps shape B onto shape C.

[3]
b

On the grid, draw the image of shape A after a translation by the vector (1−3).

[2]

Mark scheme

0580/12 · May/June 2026

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1 · 1 mark

  • 1 mark

    9

2a · 1 mark

  • 1 mark

    91

2b · 1 mark

  • 1 mark

    263

3a · 1 mark

  • 1 mark

    0.35 cao

3b · 1 mark

  • 1 mark

    80 cao

4 · 1 mark

  • 1 mark

    11 to 14

5a · 1 mark

  • 1 mark

    65400 cao

5b · 1 mark

  • 1 mark

    [0].049 cao

6a · 1 mark

  • 1 mark

    7 × (3 – 2) × 4 = 28

6b · 1 mark

  • 1 mark

    9 – (80 ÷ 8 – 6) = 5

7a · 2 marks

  • 2 marks

    1124 cao

7b · 1 mark

  • 1 mark

    18 more squares shaded or clearly indicated

8 · 1 mark

  • 1 mark

    30

9a · 1 mark

  • 1 mark

    13

9b · 1 mark

  • 1 mark

    35

9c · 1 mark

  • 1 mark

    32

10a · 1 mark

  • 1 mark

    7y – 52 = 78 – 6y oe

10b · 3 marks

  • 3 marks

    18

11a · 1 mark

  • 1 mark

    2000

11b · 1 mark

  • 1 mark

    700

12a · 1 mark

  • 1 mark

    Cuboid

12b · 2 marks

  • B1

    One correct additional square indicated

  • B1

    Second correct additional square indicated

13a · 1 mark

  • 1 mark

    A trapezium drawn that is similar to trapezium *T*.

13b · 2 marks

  • 2 marks

    A rectangle with area 6cm2

14 · 2 marks

  • 2 marks

    14 cao

15 · 2 marks

  • B1

    One correct geometrical property

  • B1

    Second correct geometrical property

16 · 2 marks

  • 2 marks

    1.25

17a · 1 mark

  • 1 mark

    50

17b · 2 marks

  • 2 marks

    144

18a · 2 marks

  • 2 marks

    8*x* + 5*y* final answer

18b · 2 marks

  • 2 marks

    3*x*2 – 16*x* – 35 final answer

19a · 1 mark

  • 1 mark

    3

19b(i) · 1 mark

  • 1 mark

    19

19b(ii) · 2 marks

  • 2 marks

    –6

20 · 2 marks

  • 2 marks

    –4 < *x* ⩽ 5

21a · 1 mark

  • 1 mark

    Correct pattern drawn

21b · 4 marks

  • B2

    4, 12 and 16 (or B1 for two of 4, 12 and 16 correct)

  • B1

    *n* oe

  • B1

    *n*2 oe

21c · 1 mark

  • 1 mark

    120 is not a square number oe

22a · 2 marks

  • 2 marks

    512 712 512 512

22b · 2 marks

  • 2 marks

    25144 oe

23 · 2 marks

  • 2 marks

    9

24 · 3 marks

  • 3 marks

    6

25a · 2 marks

  • 2 marks

    All 7 regions/numbers correctly placed

25b · 1 mark

  • 1 mark

    6

26a · 1 mark

  • 1 mark

    6.32 × 103

26b · 1 mark

  • 1 mark

    2.58 × 10–2

27 · 3 marks

  • 3 marks

    1 712 cao

28 · 2 marks

  • 2 marks

    T=3−Q4 oe final answer

29a(i) · 2 marks

  • B1

    Reflection

  • B1

    *x* = –0.5 oe

29a(ii) · 3 marks

  • B1

    Rotation

  • B1

    90° clockwise oe

  • B1

    [centre] (2, 4)

29b · 2 marks

  • 2 marks

    Correct shape drawn with coordinates (–2, 1) (–4, 1) (–3, 0) (–5, –2) (–3, –2)

Questions

  1. 1
    Question 11 mark
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  2. 2
    Question 22 marks
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  3. 3
    Question 32 marks
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  4. 4
    Question 41 mark
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  5. 5
    Question 52 marks
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  6. 6
    Question 62 marks
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  7. 7
    Question 73 marks
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  8. 8
    Question 81 mark
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  9. 9
    Question 93 marks
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  10. 10
    Question 104 marks
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  11. 11
    Question 112 marks
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  12. 12
    Question 123 marks
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  13. 13
    Question 133 marks
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  14. 14
    Question 142 marks
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  15. 15
    Question 152 marks
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  16. 16
    Question 162 marks
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  17. 17
    Question 173 marks
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  18. 18
    Question 184 marks
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  19. 19
    Question 194 marks
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  20. 20
    Question 202 marks
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  21. 21
    Question 216 marks
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  22. 22
    Question 224 marks
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  23. 23
    Question 232 marks
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  24. 24
    Question 243 marks
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  25. 25
    Question 253 marks
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  26. 26
    Question 262 marks
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  27. 27
    Question 273 marks
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  28. 28
    Question 282 marks
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  29. 29
    Question 297 marks
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