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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
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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
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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 = 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
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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.
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................................................. [1]
(ii) Find the value of the reciprocal of 0.25 .
................................................. [2]
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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.
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0580/13/M/J/25 [Turn over