Cambridge IGCSE ™ * 7 0 5 3 2 1 5 7 4 5 * MATHEMATICS 0580/11 Paper 1 (Core) May/June 2024 1 hour You must answer on the question paper. You will need: Geometrical instruments INSTRUCTIONS ● Answer all questions. ● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. ● Write your name, centre number and candidate number in the boxes at the top of the page. ● Write your answer to each question in the space provided. ● Do not use an erasable pen or correction fluid. ● Do not write on any bar codes. ● You should use a calculator where appropriate. ● You may use tracing paper. ● You must show all necessary working clearly. ● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. ● For r , use either your calculator value or 3.142. INFORMATION ● The total mark for this paper is 56. ● The number of marks for each question or part question is shown in brackets [ ]. This document has 12 pages. Any blank pages are indicated. DC (DE/CT) 329231/2 © UCLES 2024 [Turn over

Cambridge IGCSE ™
* 7 0 5 3 2 1 5 7 4 5 *
MATHEMATICS 0580/11
Paper 1 (Core) May/June 2024
1 hour
You must answer on the question paper.
You will need: Geometrical instruments
INSTRUCTIONS
● Answer all questions.
● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
● Write your name, centre number and candidate number in the boxes at the top of the page.
● Write your answer to each question in the space provided.
● Do not use an erasable pen or correction fluid.
● Do not write on any bar codes.
● You should use a calculator where appropriate.
● You may use tracing paper.
● You must show all necessary working clearly.
● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in
degrees, unless a different level of accuracy is specified in the question.
● For r , use either your calculator value or 3.142.
INFORMATION
● The total mark for this paper is 56.
● The number of marks for each question or part question is shown in brackets [ ].
This document has 12 pages. Any blank pages are indicated.
DC (DE/CT) 329231/2
© UCLES 2024 [Turn over

2 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 A B Measure the length of line AB in millimetres. .......................................... mm [1] 3 The travel graph shows the journey of a bus. 14 12 10 8 Distance (km) 6 4 2 0 14 00 14 30 15 00 15 30 16 00 Time (a) Find the distance the bus travels in the first 50 minutes. ........................................... km [1] (b) Find how long, in minutes, the bus is stationary. .......................................... min [1] © U C LES 2024 0580/11/M/J/24

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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
A
B
Measure the length of line AB in millimetres.
.......................................... mm [1]
3 The travel graph shows the journey of a bus.
14
12
10
8
Distance
(km)
6
4
2
0
14 00 14 30 15 00 15 30 16 00
Time
(a) Find the distance the bus travels in the first 50 minutes.
........................................... km [1]
(b) Find how long, in minutes, the bus is stationary.
.......................................... min [1]
© U C LES 2024 0580/11/M/J/24

3 4 Write down the order of rotational symmetry of a rhombus. ................................................. [1] 5 The diagram shows a shape on a 1 cm 2 grid. Find the area of this shape. .......................................... cm 2 [1] 6 (a) Work out. 28 - 16 ' 2 ................................................. [1] 4 (b) Find the reciprocal of . 5 ................................................. [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. ............................................. °C [1] [Turn over © U C LES 2024 0580/11/M/J/24

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4 Write down the order of rotational symmetry of a rhombus.
................................................. [1]
5 The diagram shows a shape on a 1 cm 2 grid.
Find the area of this shape.
.......................................... cm 2 [1]
6 (a) Work out.
28 - 16 ' 2
................................................. [1]
4
(b) Find the reciprocal of .
5
................................................. [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.
............................................. °C [1]
© U C LES 2024 0580/11/M/J/24 [Turn over

4 8 Draw all the lines of symmetry on this shape. [2] 9 y 8 7 6 A A 5 4 C C 3 2 1 B x – 8 – 7 – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 – 1 – 2 The diagram shows two sides of a parallelogram ABCD . Find the coordinates of point D . ( ...................... , ...................... ) [2] © U C LES 2024 0580/11/M/J/24

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8
Draw all the lines of symmetry on this shape. [2]
9
y
8
7
6
A A 5
4
3 C C
2
1
B
x
– 8 – 7 – 6 – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5
– 1
– 2
The diagram shows two sides of a parallelogram ABCD .
Find the coordinates of point D .
( ...................... , ...................... ) [2]
© U C LES 2024 0580/11/M/J/24

5 10 NOT TO h cm SCALE 6 cm 15 cm The total surface area of this cuboid is 369 cm 2 . Work out the value of h . h = ................................................ [4] 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. Type of toy Wooden Plastic Metal Number of toys 14 14 Probability 0.6 Complete the table. [2] [Turn over © U C LES 2024 0580/11/M/J/24

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10
h cm NOT TO
SCALE
6 cm
15 cm
The total surface area of this cuboid is 369 cm 2 .
Work out the value of h .
h = ................................................ [4]
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.
Type of toy Wooden Plastic Metal
Number of toys 14 14
Probability 0.6
Complete the table.
[2]
© U C LES 2024 0580/11/M/J/24 [Turn over

6 12 The table shows some information about two sequences. n th term 5th term Sequence A 60 – 4 n Sequence B n 2 – 300 Complete the table. [2] 13 Find the coordinates of the point where the line y = 3 x - 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 6 . . 4 2 . # 1 68 . You must show all your working. ................................................. [2] 15 Factorise completely. 36 x 2 + 40 x ................................................. [2] © U C LES 2024 0580/11/M/J/24

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12 The table shows some information about two sequences.
n th term 5th term
Sequence A 60 – 4 n
Sequence B n 2 – 300
Complete the table.
[2]
13 Find the coordinates of the point where the line y = 3 x - 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 6 .
.
4 2 . # 1 68 .
You must show all your working.
................................................. [2]
15 Factorise completely.
36 x 2 + 40 x
................................................. [2]
© U C LES 2024 0580/11/M/J/24

7 16 NOT TO SCALE x + 7 3 x - 12 The diagram shows a rectangle with length 3 x - 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. P O (a) Write down the mathematical name of the line OP . ................................................. [1] (b) Draw a tangent to the circle at P . [1] [Turn over © U C LES 2024 0580/11/M/J/24

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16
NOT TO
SCALE
x + 7
3 x - 12
The diagram shows a rectangle with length 3 x - 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.
P
O
(a) Write down the mathematical name of the line OP .
................................................. [1]
(b) Draw a tangent to the circle at P . [1]
© U C LES 2024 0580/11/M/J/24 [Turn over

8 18 Find the greatest odd number that is a factor of 140 and a factor of 210. ................................................. [2] 19 Calculate. (a) 3 343 - 40 96 . ................................................. [1] (b) ( 192 + 4 16 ) 1 25 . # ................................................. [1] 20 (a) Find the value of 137 0 . ................................................. [1] (b) 7 12 ' 7 p = 7 17 Find the value of p . p = ................................................ [1] 21 Calculate 1 827 . 10 6 # ' 9000 . Give your answer in standard form. ................................................. [2] © U C LES 2024 0580/11/M/J/24

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18 Find the greatest odd number that is a factor of 140 and a factor of 210.
................................................. [2]
19 Calculate.
(a) 3 343 - 40 96 .
................................................. [1]
(b) ( 192 + 4 # 16 ) 1 25 .
................................................. [1]
20 (a) Find the value of 137 0 .
................................................. [1]
(b) 7 12 ' 7 p = 7 17
Find the value of p .
p = ................................................ [1]
21 Calculate 1 827 . # 10 6 ' 9000 .
Give your answer in standard form.
................................................. [2]
© U C LES 2024 0580/11/M/J/24

9 22 Solve the simultaneous equations. You must show all your working. 6 x + 2 y = 29 3 x - 4 y = 17 x = ................................................ y = ................................................ [3] 23 Change 9.6 km/h into m/s. ........................................... m/s [2] 24 These are the first five terms of a sequence. 11 18 25 32 39 Find an expression for the n th term of the sequence. ................................................. [2] [Turn over © U C LES 2024 0580/11/M/J/24

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22 Solve the simultaneous equations.
You must show all your working.
6 x + 2 y = 29
3 x - 4 y = 17
x = ................................................
y = ................................................ [3]
23 Change 9.6 km/h into m/s.
........................................... m/s [2]
24 These are the first five terms of a sequence.
11 18 25 32 39
Find an expression for the n th term of the sequence.
................................................. [2]
© U C LES 2024 0580/11/M/J/24 [Turn over

10 25 12.8 cm J L NOT TO SCALE 12.8 cm K 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. (a) Calculate the area of this shape. ........................................... cm 2 [3] (b) Calculate the perimeter of this shape. ............................................ cm [4] © U C LES 2024 0580/11/M/J/24

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25
12.8 cm
J L
NOT TO
SCALE
12.8 cm
K
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.
(a) Calculate the area of this shape.
........................................... cm 2 [3]
(b) Calculate the perimeter of this shape.
............................................ cm [4]
© U C LES 2024 0580/11/M/J/24

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© U C LES 2024 0580/11/M/J/24

12 BLANK PAGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. © U C LES 2024 0580/11/M/J/24

12
BLANK PAGE
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge
Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.
© U C LES 2024 0580/11/M/J/24

IGCSE MATHEMATICS 0580/11 Paper 1 (Core) May/June 2024