IGCSE/ GCE / O Level Chemistry Complete Notes (A Guide + Exam Tips + Key Concepts)

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Cambridge IGCSE™

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MATHEMATICS 0580/41
Paper 4 Calculator (Extended) October/November 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.


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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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0580/41/O/N/25

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1 A quadrilateral has

• rotational symmetry of order 2
• two diagonals that are the only lines of symmetry.

Write down the geometrical name of this quadrilateral.

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


2 Solve.
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11 - 2x = 4




x = ................................................ [2]


3
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x°
NOT TO
SCALE


55°



The diagram shows two parallel lines and a straight line.

Find the value of x.
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x = ................................................ [2]


4 A train journey starts at 22 16.
The journey takes 5 hours 52 minutes.

Find the time the train journey finishes.
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................................................. [1]
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