IGCSE Mathematics 0580 Paper 11, Oct/Nov 2024

Question paper and mark scheme56 marks24 questions

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Question paper

0580/11 · Oct/Nov 2024

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1

Jacob is 10 years 8 months old. Amy is 15 months younger than Jacob. Find how old Amy is.

[1]
2

Change 6.7 kilometres to metres.

[1]
3
a

Measure angle x.

[1]
b

Write down the mathematical name for this type of angle.

[1]
4

A concert starts at 1950 and finishes 2 hours 42 minutes later. Work out the time the concert finishes.

[1]
5

Use one of these symbols <, > or = to make each statement true. 27 ....................... 0.2861 99900 ....................... 11% 13 ....................... 40

[2]
6

The stem-and-leaf diagram shows the number of cars sold each day by a company.

1034567
21224777
300122568
40146
5124

Key: 3∣2 represents 32

a

Find the range.

[1]
b

Find the mode.

[1]
7

Find the reciprocal of 114.

[1]
8

The diagram shows a quadrilateral. Find the value of y.

[2]
Figure 1 of 1 for question 8
9

Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year. Calculate the total interest earned during the 3 years.

[2]
10
a

These are the first four terms of a sequence. 10162228 Write down the next term in the sequence.

[1]
b

The term to term rule for another sequence is multiply by 3 and subtract 1. The fourth term in the sequence is 68. Find the third term in the sequence.

[2]
11

The circumference of a wheel is 198.55 cm. Calculate the diameter of the wheel. Give your answer in millimetres.

[3]
12

The grid shows half of a shape which has a line of symmetry, L. Complete the shape.

[2]
Figure 1 of 1 for question 12
13
a

Find the value of 6c+7d when c=3 and d=−4.

[2]
b

Solve. 6x+8=11x+4

[2]
14

Write 34 as a percentage of 80.

[1]
15

A bus stops 25 times on a journey. The table shows the number of people who get on the bus at each stop.

Number of peopleFrequency
01
16
27
34
45
52

Calculate the mean.

[3]
Figure 1 of 1 for question 15
16

The diagram shows a trapezium with parallel sides of length 12 cm and w cm. The height of the trapezium is 8 cm. The area of the trapezium is 78 cm2. Find the value of w.

[2]
17

A distance, d metres, measures 34.6 m, correct to the nearest 0.1 m. Complete this statement about the value of d. ...................... ⩽d< ......................

[2]
18

The diagram shows a rectangle and two points, P and C, on a 1 cm2 grid.

Figure 1 of 1 for question 18
a

Write down the coordinates of point C.

[1]
b

The rectangle is enlarged by scale factor 2 with centre of enlargement point C. Find the coordinates of the image of point P.

[2]
c

Find the area of the enlarged rectangle.

[1]
19

Jo asks some people if they own a car (C) and if they own a motorbike (M). 86 people own a car. 39 people own a motorbike. 7 people do not own a car and do not own a motorbike.

Figure 1 of 1 for question 19
a

Complete the Venn diagram.

[2]
b

Find the total number of people that Jo asks.

[1]
c

Write down n(C∩M).

[1]
20

Josh buys a car for $7800 and sells it for $5265. Calculate his percentage loss.

[2]
21
a

Factorise. 28x−35

[1]
b

Make r the subject of the formula T=r4−p.

[2]
22

Solve the simultaneous equations. You must show all your working. 5x+6y=93x−2y=−17

[3]
23

Without using a calculator, work out 513−347. You must show all your working and give your answer as a mixed number in its simplest form.

[3]
24

The diagram shows part of a regular polygon. The interior angle of the polygon is 132∘ larger than the exterior angle. Calculate the number of sides of this polygon.

[3]

Mark scheme

0580/11 · Oct/Nov 2024

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1 · 1 mark

  • 1 mark

    9 5

2 · 1 mark

  • 1 mark

    6700

3a · 1 mark

  • 1 mark

    83

3b · 1 mark

  • 1 mark

    Acute

4 · 1 mark

  • 1 mark

    22 32 or 10 32pm

5 · 2 marks

  • B2

    < = =

6a · 1 mark

  • 1 mark

    44

6b · 1 mark

  • 1 mark

    27

7 · 1 mark

  • 1 mark

    45 or 0.8

8 · 2 marks

  • 2 marks

    61

9 · 2 marks

  • 2 marks

    234

10a · 1 mark

  • 1 mark

    34

10b · 2 marks

  • 2 marks

    23 nfww

11 · 3 marks

  • 3 marks

    632 or 631.9 to 632.0…

12 · 2 marks

  • 2 marks

    Correct reflection of quadrilateral in the line of reflection

13a · 2 marks

  • 2 marks

    –10

13b · 2 marks

  • 2 marks

    45 or 0.8

14 · 1 mark

  • 1 mark

    42.5

15 · 3 marks

  • 3 marks

    2.48

16 · 2 marks

  • 2 marks

    7.5

17 · 2 marks

  • B2

    34.55 34.65

18a · 1 mark

  • 1 mark

    (0, 5)

18b · 2 marks

  • B2

    (14, 11)

18c · 1 mark

  • 1 mark

    60

19a · 2 marks

  • 2 marks

    Venn diagram with 7 outside, 74, 12, 27 cao

19b · 1 mark

  • 1 mark

    120

19c · 1 mark

  • 1 mark

    12

20 · 2 marks

  • 2 marks

    32.5

21a · 1 mark

  • 1 mark

    7(4x – 5) final answer

21b · 2 marks

  • 2 marks

    4T + 4p or 4(T + p) final answer

22 · 3 marks

  • M1

    Correctly eliminating one variable

  • A1

    x = –3

  • A1

    y = 4

23 · 3 marks

  • B1

    163 or 257 or 213−47

  • M1

    11221 and 7521 or [2]721 and 1221

  • A1

    11621 cao

24 · 3 marks

  • 3 marks

    15

Questions

  1. 1
    Question 11 mark
    Mark scheme ›
  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 52 marks
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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 103 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 134 marks
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  14. 14
    Question 141 mark
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  15. 15
    Question 153 marks
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  16. 16
    Question 162 marks
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  17. 17
    Question 172 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 213 marks
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  22. 22
    Question 223 marks
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  23. 23
    Question 233 marks
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  24. 24
    Question 243 marks
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