IGCSE Mathematics 0580 Paper 11, May/June 2025

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Question paper

0580/11 · May/June 2025

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1
a

Write the number 10069 in words.

[1]
b

Write 10069 correct to the nearest ten.

[1]
c

Convert 10069 centimetres into metres.

[1]
2

A bag of sweets costs $0.34 . Arun buys 10 bags of sweets. Work out how much change he receives from $5.

[2]
3

Two numbers have a sum of -2 and a product of -15. Work out the two numbers.

[2]
4

7 27 39 49 99 112 From the list of numbers, write down

a

an even number

[1]
b

a square number

[1]
c

a factor of 56

[1]
d

a prime number.

[1]
5

Write down the reciprocal of 5.

[1]
6

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

a

7−5×4+8=16

[1]
b

7−5×4+8=−21

[1]
7
a

A ticket costs $18. Write down an expression, in dollars, for the cost of t tickets.

[1]
b

A bag contains n red balls and 16 green balls. Write down an expression for the total number of balls in the bag.

[1]
8
a

Write 90% as a fraction in its simplest form.

[1]
b

Write 3100 as a decimal.

[1]
9
a(i)

These are the first four terms of a sequence. 33 26 19 12 Write down the term-to-term rule for this sequence.

[1]
a(ii)

Work out the next two terms in this sequence.

[2]
b

These are the first four terms of another sequence. 19 23 27 31 Find the nth term.

[2]
10

Ky cycles from his office to a meeting and back again. The travel graph shows his time at the meeting and his journey back.

Figure 1 of 1 for question 10
a

How far is the meeting from his office?

[1]
b

How long is Ky at the meeting for?

[1]
c

Write down the time Ky arrives back at his office after the meeting.

[1]
d

Ky cycles from his office to the meeting at a constant speed of 21 km/h. Complete the travel graph.

[2]
11

Calculate the volume of a cube with side length 3 cm.

[1]
12

Solve. 5x+8=3x−2

[2]
13

Work out.

a

−5×−4

[1]
b

−8+(−3)

[1]
14

3p×34=310 Find the value of p.

[1]
Figure 1 of 1 for question 14
15

Complete a net of this cuboid on the 1 cm2 grid. One face has been drawn for you.

[3]
16
a

Simplify. 6a+4b−a−5b

[2]
b(i)

Factorise. 6x+15y

[1]
b(ii)

Factorise. x2y−5xy

[2]
17

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 42.8+17.41.97×5.79 .

[2]
18

The diagram shows two straight lines intersecting two parallel lines.

Figure 1 of 1 for question 18
a

Find the value of x. Give a geometrical reason for your answer.

[2]
b

Find the value of y. Give a geometrical reason for your answer.

[2]
c

Find the value of z.

[2]
19

A box contains 10 counters. The counters are either red or green. The ratio red counters : green counters = 1 : 4. Shareen picks a counter at random, notes its colour and puts it back in the box. She then picks a second counter at random.

a

Complete the tree diagram.

[3]
b

Find the probability that both counters are green.

[2]
20

The scatter diagram shows the price of petrol per litre and the number of litres sold at a petrol station on each of ten days.

a

These are the results for two more days. Price per litre ($) 1.68 1.47 Number of litres sold 90 380 Plot this information on the scatter diagram.

[1]
b

What type of correlation is shown in the scatter diagram?

[1]
c(i)

On the scatter diagram, draw a line of best fit.

[1]
c(ii)

One day the price of petrol was $1.55 per litre. Use your line of best fit to estimate the number of litres sold.

[1]
21

Points A, B and C lie on the circle, centre O. Work out angle BCA.

[2]
Figure 1 of 1 for question 21
22

A=23×3B=32×5

a

Find the highest common factor (HCF) of A and B.

[1]
b

Find the lowest common multiple (LCM) of A and B.

[2]
23
Figure 1 of 4 for question 23
Figure 2 of 4 for question 23
Figure 3 of 4 for question 23
Figure 4 of 4 for question 23
a

On the grid, draw the image of triangle T after a rotation, 90∘ clockwise, centre (0,0).

[2]
b

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

[2]
c

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

[3]
24

Work out 113+134. Give your answer as a mixed number in its simplest form.

[3]
25
a

Write 32500 in standard form.

[1]
b

Write 5.6×10−3 as an ordinary number.

[1]
26

Solve the simultaneous equations. 2x+5y=5 3x+4y=11

[4]

Mark scheme

0580/11 · May/June 2025

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1a · 1 mark

  • 1 mark

    Ten thousand [and] sixty-nine

1b · 1 mark

  • 1 mark

    10 070

1c · 1 mark

  • 1 mark

    100.69

2 · 2 marks

  • 2 marks

    1.6[0]

3 · 2 marks

  • 2 marks

    –5 3

4a · 1 mark

  • 1 mark

    112

4b · 1 mark

  • 1 mark

    49

4c · 1 mark

  • 1 mark

    7

4d · 1 mark

  • 1 mark

    7

5 · 1 mark

  • 1 mark

    15 or [0].2

6a · 1 mark

  • 1 mark

    (7 – 5) × 4 + 8 = 16

6b · 1 mark

  • 1 mark

    7 – (5 × 4 + 8) = – 21

7a · 1 mark

  • 1 mark

    18t final answer

7b · 1 mark

  • 1 mark

    n + 16 final answer

8a · 1 mark

  • 1 mark

    910 cao

8b · 1 mark

  • 1 mark

    [0].03

9a(i) · 1 mark

  • 1 mark

    Subtract 7 oe

9a(ii) · 2 marks

  • 2 marks

    5 –2

9b · 2 marks

  • 2 marks

    4n + 15 oe final answer

10a · 1 mark

  • 1 mark

    14

10b · 1 mark

  • 1 mark

    40

10c · 1 mark

  • 1 mark

    11 50

10d · 2 marks

  • 2 marks

    Ruled line from (9 40, 0) to (10 20, 14)

11 · 1 mark

  • 1 mark

    27

12 · 2 marks

  • 2 marks

    −5 cao final answer

13a · 1 mark

  • 1 mark

    20

13b · 1 mark

  • 1 mark

    –11

14 · 1 mark

  • 1 mark

    6 final answer

15 · 3 marks

  • 3 marks

    Correct net

16a · 2 marks

  • 2 marks

    5a – b final answer

16b(i) · 1 mark

  • 1 mark

    3(2x + 5y) final answer

16b(ii) · 2 marks

  • 2 marks

    xy( x – 5) final answer

17 · 2 marks

  • M1

    40+202×6

  • A1

    5 nfww

18a · 2 marks

  • 2 marks

    50 alternate angles

18b · 2 marks

  • 2 marks

    110 corresponding angles

18c · 2 marks

  • 2 marks

    60

19a · 3 marks

  • 3 marks

    Correct tree diagram

19b · 2 marks

  • 2 marks

    1625 oe

20a · 1 mark

  • 1 mark

    2 points accurately plotted

20b · 1 mark

  • 1 mark

    Negative

20c(i) · 1 mark

  • 1 mark

    Correct ruled line of best fit

20c(ii) · 1 mark

  • 1 mark

    275

21 · 2 marks

  • 2 marks

    51

22a · 1 mark

  • 1 mark

    3

22b · 2 marks

  • 2 marks

    360

23a · 2 marks

  • 2 marks

    Correct rotation, points at (1, –1), (3, –1) and (1, –4)

23b · 2 marks

  • 2 marks

    Translation (−6−4)

23c · 3 marks

  • 3 marks

    Enlargement [scale factor] 2 [centre] (0, -2)

24 · 3 marks

  • 3 marks

    3112 nfww

25a · 1 mark

  • 1 mark

    3.25 × 10^4

25b · 1 mark

  • 1 mark

    [0].0056

26 · 4 marks

  • 4 marks

    [x =] 5 [y =] −1 nfww

Questions

  1. 1
    Question 13 marks
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  2. 2
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  3. 3
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  4. 4
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  5. 5
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  6. 6
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  7. 7
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  8. 8
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  9. 9
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  10. 10
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  11. 11
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  12. 12
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  13. 13
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  14. 14
    Question 141 mark
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  15. 15
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  16. 16
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  17. 17
    Question 172 marks
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  18. 18
    Question 186 marks
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  19. 19
    Question 195 marks
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  20. 20
    Question 204 marks
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  21. 21
    Question 212 marks
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  22. 22
    Question 223 marks
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  23. 23
    Question 237 marks
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  24. 24
    Question 243 marks
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  25. 25
    Question 252 marks
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  26. 26
    Question 264 marks
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