IGCSE Mathematics 0580 Paper 11, May/June 2024

Question paper and mark scheme56 marks25 questions

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Question paper

0580/11 · May/June 2024

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1
a

Write 0.8 as a fraction.

[1]
b

Write 28% as a decimal.

[1]
c

Write 4876 correct to the nearest hundred.

[1]
2

Measure the length of line AB in millimetres.

[1]
3

The travel graph shows the journey of a bus.

Figure 1 of 1 for question 3
a

Find the distance the bus travels in the first 50 minutes.

[1]
b

Find how long, in minutes, the bus is stationary.

[1]
4

Write down the order of rotational symmetry of a rhombus.

[1]
5

The diagram shows a shape on a 1 cm2 grid. Find the area of this shape.

[1]
Figure 1 of 1 for question 5
6
a

Work out. 28−16÷2

[1]
b

Find the reciprocal of 45.

[1]
7

The temperature on Monday is −27 ∘C. The temperature on Tuesday is 15 ∘C higher than on Monday. Work out the temperature on Tuesday.

[1]
8

Draw all the lines of symmetry on this shape.

[2]
Figure 1 of 1 for question 8
9

The diagram shows two sides of a parallelogram ABCD. Find the coordinates of point D.

[2]
Figure 1 of 1 for question 9
10

The total surface area of this cuboid is 369 cm2. Work out the value of h.

[4]
Figure 1 of 1 for question 10
11

Geetha has a box of toys. She picks a toy at random from the box. The probability that she picks a wooden toy is 0.6.

a

Work out the probability that she does not pick a wooden toy.

[1]
b

The box contains three types of toys, wooden, plastic or metal. Complete the table.

[2]
12

The table shows some information about two sequences. Complete the table.

[2]
13

Find the coordinates of the point where the line y=3x−5 crosses the y-axis.

[1]
14

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 28.2−5.64.2×1.68. You must show all your working.

[2]
15

Factorise completely. 36x2+40x

[2]
16

The diagram shows a rectangle with length 3x−12 and width x+7. Find an expression for the perimeter of the rectangle. Give your answer in its simplest form.

[3]
17

The diagram shows a circle, centre O. P lies on the circle.

Figure 1 of 1 for question 17
a

Write down the mathematical name of the line OP.

[1]
b

Draw a tangent to the circle at P.

[1]
18

Find the greatest odd number that is a factor of 140 and a factor of 210.

[2]
19

Calculate.

a

3433−40.96

[1]
b

(192+4×16)1.25

[1]
20
a

Find the value of 1370.

[1]
b

712÷7p=717 Find the value of p.

[1]
21

Calculate 1.827×106÷9000. Give your answer in standard form.

[2]
22

Solve the simultaneous equations. You must show all your working. 6x+2y=29 3x−4y=17

[3]
23

Change 9.6 km/h into m/s.

[2]
24

These are the first five terms of a sequence. 1118253239 Find an expression for the nth term of the sequence.

[2]
25

The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle with JK=JL=12.8 cm.

Figure 1 of 1 for question 25
a

Calculate the area of this shape.

[3]
b

Calculate the perimeter of this shape.

[4]

Mark scheme

0580/11 · May/June 2024

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1a · 1 mark

  • 1 mark

    810 oe fraction

1b · 1 mark

  • 1 mark

    0.28

1c · 1 mark

  • 1 mark

    4900 cao

2 · 1 mark

  • 1 mark

    107

3a · 1 mark

  • 1 mark

    10

3b · 1 mark

  • 1 mark

    40

4 · 1 mark

  • 1 mark

    2

5 · 1 mark

  • 1 mark

    12

6a · 1 mark

  • 1 mark

    20

6b · 1 mark

  • 1 mark

    1.25 or 114 oe

7 · 1 mark

  • 1 mark

    –12

8 · 2 marks

  • 2 marks

    2 correct lines of symmetry

9 · 2 marks

  • 2 marks

    (–3, 7)

10 · 4 marks

  • 4 marks

    4.5

11a · 1 mark

  • 1 mark

    0.4 oe

11b · 2 marks

  • B1

    42

  • B1

    0.2 and 0.2

12 · 2 marks

  • B1

    40

  • B1

    –275

13 · 1 mark

  • 1 mark

    (0, –5)

14 · 2 marks

  • M1

    30−64×2

  • A1

    3 nfww

15 · 2 marks

  • 2 marks

    4x(9x+10) final answer

16 · 3 marks

  • 3 marks

    8x−10 or 2(4x−5) final answer

17a · 1 mark

  • 1 mark

    radius

17b · 1 mark

  • 1 mark

    Ruled line drawn through P perpendicular to OP

18 · 2 marks

  • 2 marks

    35

19a · 1 mark

  • 1 mark

    0.6 or 35

19b · 1 mark

  • 1 mark

    1024

20a · 1 mark

  • 1 mark

    1

20b · 1 mark

  • 1 mark

    –5

21 · 2 marks

  • 2 marks

    2.03×102 cao

22 · 3 marks

  • M1

    Correctly eliminating one variable

  • A1

    [x=]5

  • A1

    [y=]−0.5

23 · 2 marks

  • 2 marks

    223 or 2.67 or 2.666 to 2.667

24 · 2 marks

  • 2 marks

    7n+4 oe final answer

25a · 3 marks

  • 3 marks

    146 or 146.2 to 146.3

25b · 4 marks

  • 4 marks

    51[.0] or 51.00 to 51.01…

Questions

  1. 1
    Question 13 marks
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  2. 2
    Question 21 mark
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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 51 mark
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  6. 6
    Question 62 marks
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  7. 7
    Question 71 mark
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  8. 8
    Question 82 marks
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  9. 9
    Question 92 marks
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  10. 10
    Question 104 marks
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  11. 11
    Question 113 marks
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  12. 12
    Question 122 marks
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  13. 13
    Question 131 mark
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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 163 marks
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  17. 17
    Question 172 marks
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  18. 18
    Question 182 marks
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  19. 19
    Question 192 marks
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  20. 20
    Question 202 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 232 marks
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  24. 24
    Question 242 marks
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  25. 25
    Question 257 marks
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