IGCSE Mathematics 0580 Paper 12, Oct/Nov 2023

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Question paper

0580/12 · Oct/Nov 2023

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1

Write 810 as a decimal.

[1]
2

Asha works in a café. Her wage is calculated using the formula wage=hourly rate×number of hours+bonus. Her hourly rate is $11.52 . One week Asha works 25 hours and receives a bonus of $5.40 . Work out her wage for this week.

[2]
3

These are the first four terms in a sequence. −341118

a

Find the next term.

[1]
b

Explain how you worked out your answer.

[1]
4

Work out 25 of 180.

[1]
5

Write these numbers in order, starting with the smallest. 31618.7%0.19950

[2]
6

Write down the number that is 9 greater than −23.

[1]
7

For 16 days, Safia records the number of dresses she sells. 246181427379162217161624201532

a

Complete the stem-and-leaf diagram.

0
1
2
3

Key: 2|4 represents 24 dresses

[2]
b

Write down the mode.

[1]
c

Find the median.

[1]
8

Write 24.07839

a

correct to 2 decimal places

[1]
b

correct to the nearest 10.

[1]
9

v=u+at Find the value of v when u=30, a=−2 and t=7.

[2]
10

Change 62 000 millimetres into kilometres.

[1]
11

The diagram shows two straight lines crossing two parallel lines. Find the value of x.

[2]
Figure 1 of 1 for question 11
12
a

Explain why 111 is not a prime number.

[1]
b

Find a prime number between 110 and 120.

[1]
13

Find the bearing of Q from P.

[2]
Figure 1 of 1 for question 13
14
a

As the age of a car increases, the selling price decreases. What type of correlation is this?

[1]
b

Write down the type of correlation there is between the height of a driver and the value of their car.

[1]
15

Calculate the interior angle of a regular 9-sided polygon.

[2]
16

Filip invests $4000 for 3 years at a rate of 2.5% per year simple interest. Calculate the value of his investment at the end of the 3 years.

[3]
17

A, B and C are points on a circle, centre O.

Figure 1 of 1 for question 17
a

Draw a tangent to the circle at point A.

[1]
b

The circumference of the circle is 22.3 cm. Calculate the radius of the circle.

[2]
c

Give a geometrical reason why angle BCA is 90∘.

[1]
18

Expand and simplify. 2(t+w)+3(w−t)

[2]
19

Without using a calculator, work out 318−134. You must show all your working and give your answer as a mixed number in its simplest form.

[3]
20

E={students in a class} C={students who play cricket} F={students who play football} There are 36 students in the class. 15 students play cricket. 20 students play football.

Figure 1 of 1 for question 20
a

Complete the Venn diagram.

[2]
b

Write down n(C∪F).

[1]
21

ABC is a right-angled triangle. Calculate AC.

[3]
Figure 1 of 1 for question 21
22

Point A and line L are shown on the grid.

Figure 1 of 1 for question 22
a

Write down the coordinates of point A.

[1]
b

On the grid, plot the point (−2,4).

[1]
c

Find the equation of line L.

[3]
23

Bell A rings every 22 minutes. Bell B rings every 14 minutes. Both bells ring at 0900. Work out the next time both bells ring together.

[3]
24

Triangle ABC is mathematically similar to triangle DEF. Calculate the value of x.

[2]

Mark scheme

0580/12 · Oct/Nov 2023

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1 · 1 mark

  • 1 mark

    0.8

2 · 2 marks

  • 2 marks

    293.40

3a · 1 mark

  • 1 mark

    25

3b · 1 mark

  • 1 mark

    Added 7 oe

4 · 1 mark

  • 1 mark

    72

5 · 2 marks

  • 2 marks

    950 18.7[%] 316 0.19

6 · 1 mark

  • 1 mark

    –14

7a · 2 marks

  • 2 marks

    Correct stem-and-leaf diagram

7b · 1 mark

  • 1 mark

    16

7c · 1 mark

  • 1 mark

    17.5

8a · 1 mark

  • 1 mark

    24.08 cao

8b · 1 mark

  • 1 mark

    20 cao

9 · 2 marks

  • 2 marks

    16

10 · 1 mark

  • 1 mark

    0.062

11 · 2 marks

  • 2 marks

    64

12a · 1 mark

  • 1 mark

    Multiple of 3 or multiple of 37

12b · 1 mark

  • 1 mark

    113

13 · 2 marks

  • 2 marks

    231

14a · 1 mark

  • 1 mark

    Negative

14b · 1 mark

  • 1 mark

    No correlation

15 · 2 marks

  • 2 marks

    140

16 · 3 marks

  • 3 marks

    4300

17a · 1 mark

  • 1 mark

    Ruled tangent drawn at A

17b · 2 marks

  • 2 marks

    3.55 or 3.548 to 3.549…

17c · 1 mark

  • 1 mark

    Angle in a semicircle is 90º oe

18 · 2 marks

  • 2 marks

    5w – t final answer

19 · 3 marks

  • B1

    258 or 74 or 218−34

  • M1

    258 and 148 or [2]18 and 68

  • A1

    138

20a · 2 marks

  • 2 marks

    4 in C∩F and 16 in F∩C′

20b · 1 mark

  • 1 mark

    31

21 · 3 marks

  • 3 marks

    21.7 or 21.71…

22a · 1 mark

  • 1 mark

    (1, –2)

22b · 1 mark

  • 1 mark

    Point plotted at (–2, 4)

22c · 3 marks

  • 3 marks

    y = 2x + 3 oe final answer

23 · 3 marks

  • 3 marks

    11 34

24 · 2 marks

  • 2 marks

    5.84

Questions

  1. 1
    Question 11 mark
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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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  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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  14. 14
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  15. 15
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  16. 16
    Question 163 marks
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  17. 17
    Question 174 marks
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  18. 18
    Question 182 marks
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  19. 19
    Question 193 marks
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  20. 20
    Question 203 marks
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  21. 21
    Question 213 marks
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  22. 22
    Question 225 marks
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  23. 23
    Question 233 marks
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  24. 24
    Question 242 marks
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