Mathematics - 0580 / 41 Paper 4 - Calculator (Extended) Question Paper - May / June 2025 IGCSE - Cambridge International Examination. Merged Actual Question Paper + Mark Scheme + Data Sheet. Merged Actual Question Paper + Mark Scheme + Data Sheet

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MATHEMATICS 0580/41
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 16 pages.


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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




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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




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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




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-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
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B a C



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3
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1 Solve.

4c - 9 = 13




c = ................................................ [2]


2 Work out.
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16.71 + 46.13
8.6 2 - 3.5 2

Give your answer correct to 2 significant figures.
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................................................. [2]


3 In the USA, one gallon of fuel costs $4.83 .
In the UK, one litre of fuel costs £1.62 .

The exchange rate is £1 = $1.215 .
1 gallon = 3.785 litres

In which country does 1 litre of fuel cost more and by how much?
Give your answer in dollars.
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................. by $ ................................................. [3]



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