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Mathematics - 0580 / 13 Paper 1 - Non-calculator (Core) Question Paper - May / June 2025 IGCSE - Cambridge International Examination. Merged Actual Question Paper + Mark Scheme + Data Sheet

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Mathematics - 0580 / 13 Paper 1 - Non-calculator (Core) Question Paper - May / June 2025 IGCSE - Cambridge International Examination. Merged Actual Question Paper + Mark Scheme + Data Sheet

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Number of pages
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Cambridge IGCSE™

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MATHEMATICS 0580/13
Paper 1 Non-calculator (Core) May/June 2025

1 hour 30 minutes

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.
● Calculators must not be used in this paper.
● You may use tracing paper.
● You must show all necessary working clearly.


INFORMATION
● The total mark for this paper is 80.
● 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 (PQ/CGW) 343350/2
© UCLES 2025 [Turn over

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DO NOT WRITE IN THIS MARGIN
2
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List of formulas

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

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 = Ah
3

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

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

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




DO NOT WRITE IN THIS MARGIN
DO NOT WRITE IN THIS MARGIN




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0580/13/M/J/25

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3
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Calculators must not be used in this paper.

1 (a) Write the number 70 000 000 in words.

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

(b) (i) Write down the value of the 5 in the number 0.25 .
Give your answer as a fraction.
DO NOT WRITE IN THIS MARGIN




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

(ii) Find the value of the reciprocal of 0.25 .




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




2 (a) Write down the mathematical name for an angle between 90° and 180°.




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

(b) Write down the mathematical term that describes two polygons that are the same shape and size.
DO NOT WRITE IN THIS MARGIN




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




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0580/13/M/J/25 [Turn over
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