Mathematics - 0580 / 42 Paper 4 - Calculator (Extended) Question Paper - May / June 2025 IGCSE - Cambridge International Examination. Merged Actual Question Paper + Mark Scheme + Data Sheet

* 0000800000001 * DFD



,










,




Cambridge IGCSE™

¬WŠ. 4mHuOªEŠ^{5€W
¬] zO§}zfwouŸ.Jƒ‚
¥U5•5•¥uE• EEu uuU
* 7 3 7 5 1 6 5 6 4 0 *




MATHEMATICS 0580/42
Paper 4 Calculator (Extended) May/June 2025

2 hours

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 scientific 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 100.
● The number of marks for each question or part question is shown in brackets [ ].




This document has 20 pages. Any blank pages are indicated.


DC (SL/CT) 341827/3
© UCLES 2025 [Turn over

, * 0000800000002 * DFD




DO NOT WRITE IN THIS MARGIN
2
,










,

List of formulas

1
Area, A, of triangle, base b, height h. A = 2 bh


Area, A, of circle of radius r. A = rr 2


Circumference, C, of circle of radius r. C = 2rr




DO NOT WRITE IN THIS MARGIN
Curved surface area, A, of cylinder of radius r, height h. A = 2rrh


Curved surface area, A, of cone of radius r, sloping edge l. A = rrl


Surface area, A, of sphere of radius r. A = 4r r 2


Volume, V, of prism, cross-sectional area A, length l. V = Al




DO NOT WRITE IN THIS MARGIN
1
Volume, V, of pyramid, base area A, height h. V = 3 Ah


Volume, V, of cylinder of radius r, height h. V = rr 2 h

1
Volume, V, of cone of radius r, height h. V = 3 rr 2 h

4
Volume, V, of sphere of radius r. V = 3 rr 3




DO NOT WRITE IN THIS MARGIN
-b ! b 2 - 4ac
For the equation ax2 + bx + c = 0, where a ! 0, x= 2a


For the triangle shown,

a b c
= =
A sin A sin B sin C

a 2 = b 2 + c 2 - 2bc cos A
1
c b Area = 2 ab sin C
DO NOT WRITE IN THIS MARGIN




B a C



ĬÕĊ®Ġ´íÈõÏĪÅĊßù·þ×
© UCLES 2025 ĬÝĞùÎģĉĐÍĊĉĚ·ĕþòċĂ
ĥąåĕõõåĕõÕÕąÅµĥµÕÕ
0580/42/M/J/25

, * 0000800000003 * DFD
DO NOT WRITE IN THIS MARGIN



3
,










,

1 A quadrilateral has these properties

• the diagonals are the only lines of symmetry
• it has rotational symmetry of order 2.

Write down the mathematical name of this quadrilateral.




................................................. [1]
DO NOT WRITE IN THIS MARGIN




2
DO NOT WRITE IN THIS MARGIN




The diagram shows the net of a solid.

Write down the mathematical name of this solid.

............................................................................... [1]
DO NOT WRITE IN THIS MARGIN
DO NOT WRITE IN THIS MARGIN




Ĭ×Ċ®Ġ´íÈõÏĪÅĊßû·þ×
© UCLES 2025 ĬÝĝúÖĥąĠìðøÏģĝÚòûĂ
ĥąÕÕµĕÅõĥåąąÅÕąõÅÕ
0580/42/M/J/25 [Turn over

, * 0000800000004 * DFD




DO NOT WRITE IN THIS MARGIN
4
,










,

3 Mass of box A : Mass of box B = 4 : 7

The mass of box B is 2.4 kg more than the mass of box A.

Calculate the mass of box A and the mass of box B.




DO NOT WRITE IN THIS MARGIN
box A ........................................... kg

box B ........................................... kg
[3]


4

D 10 cm C

NOT TO
8 cm SCALE




DO NOT WRITE IN THIS MARGIN
A 12 cm B

ABCD is a trapezium.

Work out the area of the trapezium.




DO NOT WRITE IN THIS MARGIN
......................................... cm 2 [2]


5 Scott changes $300 into pounds (£).
The exchange rate is £1 = $1.20 .

Calculate the amount Scott receives.
DO NOT WRITE IN THIS MARGIN




..................................... pounds [1]



ĬÕĊ®Ġ´íÈõÏĪÅĊÝù·Ā×
© UCLES 2025 ĬÝĝûÖğ÷ĩÏòïØÁÁüĢăĂ
ĥµąÕõĕÅÕąąõąąÕåõÕÕ
0580/42/M/J/25