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Mathematics 0580/12 May/June 2025: question paper and mark scheme

Cambridge IGCSE Mathematics (0580), Paper 1 (Core), May/June 2025. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.

0580_s25_qp_120580_s25_ms_120580/12/M/J/25

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Paper
Paper 1 (Core)
Total marks
80
Time
1 hour 30 minutes
Code on the paper
0580/12/M/J/25
0580_s25_ms_12.pdf

0580/12 mark scheme, question by question

Each question as it's printed, and the mark scheme's points for it, as text. Diagrams, tables and graphs are in the PDFs above.

Question 11 mark

Question

Write the number sixteen thousand and sixty-two in figures. …… [1]

Mark scheme

1 16 062 1

Question 22 marks

Question

Write three-quarters as (a) a decimal …… [1] (b) a percentage. …… % [1]

Mark scheme

2(a) 0.75 1 2(b) 75 1

Question 32 marks

Question

Write down the value of (a) 36 …… [1] (b) 10 3 . …… [1]

Mark scheme

3(a) 6 1 3(b) 1000 cao 1

Question 42 marks

Question

The diagram shows a line AB and a point P. A P B (a) Measure the length of line AB in millimetres. …… mm [1] (b) Draw a line through point P that is perpendicular to line AB. [1] * 0000800000004 * DFD 4

Mark scheme

4(a) 83 1 4(b) ruled perpendicular line through P 1

Question 51 mark

Question

Complete this statement. 10 weeks is …… days. [1]

Mark scheme

5 70 1

Question 61 mark

Question

2 Shade of the rectangle. [1] 5 1

Mark scheme

6 14 squares shaded 1

Question 72 marks

Question

(a) Find the value of the reciprocal of . 3 …… [1] (b) Write 2 -3 as a fraction. …… [1]

Mark scheme

7(a) 3 1 7(b) 1 1 cao 8

Question 82 marks

Question

Put one pair of brackets into each calculation to make it correct. (a) -12 + 4 ' 2 - 3 =-16 [1] (b) - 3 - 4 + 5 - 7 =- 5 [1]

Mark scheme

8(a) −12 + 4 ÷ ( 2 − 3) = −16 1 8(b) −3 − ( 4 + 5 − 7 ) = −5 1

Question 92 marks

Question

Write these fractions in order, starting with the smallest. 5 11 2 3 13 8 12 3 4 24 …… 1 …… 1 …… 1 …… 1 …… [2] smallest * 0000800000005 * DFD 5

Mark scheme

9 13 5 2 3 11 2 B1 for 4 fractions in the correct order 24 8 3 4 12 or M1 for 3 fractions correctly changed to have the same denominator, 24k or for 3 correct decimal equivalents

Question 105 marks

Question

A cuboid has length 5 cm, width 2 cm and height 3 cm. (a) Draw a net of the cuboid on the 1 cm 2 grid. [3] (b) Work out the volume of the cuboid. Give the units of your answer. …… …… [2] * 0000800000006 * DFD 6

Mark scheme

10(a) Fully correct net 3 B2 for 4 correct faces in correct places or B1 for 2 correct faces in correct places 10(b) 30 cm3 2 B1 for 30 B1 for cm3

Question 115 marks

Question

0 2 2 3 4 7 For these six numbers (a) write down the mode …… [1] (b) work out the range …… [1] . (c) work out the median …… [1] (d) work out the mean. …… [2]

Mark scheme

11(a) 2 1 11(b) 7 1 11(c) 1 1 2.5 or 2 2 11(d) 3 2 M1 for [0 + ] 2 + 2 + 3 + 4 + 7 6

Question 122 marks

Question

Tim has a method for multiplying a number by 99. He shows his method for 53 # 99 . 53 # 99 = 53 # 100 - 53 = 5300 - 53 = 5247 Work out 85 # 99 using Tim’s method. …… [2] * 0000800000007 * DFD 7

Mark scheme

12 85 × 99 M1 85 ×100 − 85 8500 − 85 8415 A1

Question 136 marks

Question

(a) A quadrilateral has the geometrical properties • 4 equal length sides • 2 lines of symmetry • rotational symmetry of order 2. Write down the mathematical name of this quadrilateral. …… [1] (b) Write down two geometrical properties of a rectangle. 1. …… 2. …… [2] (c) The parallel sides of a trapezium have lengths 6 cm and 4 cm. The area of the trapezium is 15 cm 2 . On the 1 cm 2 grid, draw a trapezium with these lengths and area. [3] * 0000800000008 * DFD 8

Mark scheme

13(a) rhombus 1 13(b) two properties stated that are better 2 B1 for one property than any applying to all quadrilaterals. 13(c) A correct drawing of a trapezium with 3 B2 for trapezium perpendicular height 3 cm perpendicular height 3 cm and parallel or B1 for a trapezium drawn with sides 4 cm sides 4 cm and 6 cm and 6 cm but height ≠ 3 Or 1 M1 for ( 4 + 6 ) × h = 15 or better 2 A1 [h =] 3 If 0 scored, SC1 for a parallelogram or rectangle drawn with height 3 cm or h = 3 with no/wrong working

Question 1411 marks

Question

(a) Complete the table of values for y = (x + 3) (x - 2) . x -4 -3 -2 -1 0 1 2 3 y 6 -4 -4 [3] (b) On the grid, draw the graph of y = (x + 3) (x - 2) for - 4 G x G 3. y 6 5 4 3 2 1 -4 -3 -2 -1 0 1 2 3 x -1 -2 -3 -4 -5 -6 -7 [4] * 0000800000009 * DFD 9 (c) Write down the coordinates of the lowest point of the graph. ( …… , …… ) [1] (d) Write down the equation of the line of symmetry of the graph. …… [1] (e) Use your graph to solve the equation (x + 3) (x - 2) = 3. x = …… or x = …… [2]

Mark scheme

14(a) [6], 0, [−4], -6, -6, [−4], 0, 6 3 B2 for 3 correct B1 for 1 correct 14(b) Correct curve 4 B3FT for 7 points correctly plotted or B2FT for 5 points correctly plotted or B1FT for 3 points correctly plotted 14(c) ( −0.5 , k) where −6.6 k < −6 1 14(d) x = −0.5 oe 1 14(e) −3.6 to −3.4 2.4 to 2.6 2 FT their curve B1 for each or B1 for y = 3 drawn

Question 152 marks

Question

Beth thinks of a positive number, n. She squares n then subtracts 55. The answer is 9. Work out the value of n. n = …… [2] * 0000800000010 * DFD 10

Mark scheme

15 8 2 B1 for 64 seen or M1 for n 2 − 55 = 9 or better.

Question 1611 marks

Question

The diagram shows a point P and three triangles, A, B and C, on a 1 cm 2 grid. y 7 6 5 4 C 3 B 2 1 A -4 -3 -2 -1 0 1 2 3 4 5 6 x -1 -2 P -3 -4 -5 -6 (a) Find the area of triangle B. …… cm 2 [1] (b) (i) Write down the coordinates of point P. ( …… , …… ) [1] - 20 (ii) Work out the coordinates of point P after a translation by the vector e o. 12 ( …… , …… ) [1] * 0000800000011 * DFD 11 (c) Draw the image of triangle A after a reflection in the line y =-1. [2] (d) Describe fully the single transformation that maps (i) triangle A onto triangle B …… [3] (ii) triangle A onto triangle C. …… [3] * 0000800000012 * DFD 12

Mark scheme

16(a) 6 1 16(b)(i) 4, –3 1 16(b)(ii) –16, 9 1 FT their (b)(i) 16(c) Triangle drawn with coordinates 2 B1 for reflection in y = k or in x = −1 (1, −2 ) , ( 2, −2 ) and ( 2, −5 ) 16(d)(i) Enlargement 3 B1 for each [scale factor] 2 [centre] ( −1,0 ) 16(d)(ii) Rotation 3 B1 for each 90˚ clockwise [centre] (2,3 )

Question 172 marks

Question

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 17.8 + 10.3 . 5.5 …… [2]

Mark scheme

17 20 + 10 M1 nfww 6 5 nfww A1 If 0 scored SC1 for 2 correct roundings or for all correct but with trailing zeros

Question 182 marks

Question

Find the highest common factor (HCF) of 66 and 110. …… [2]

Mark scheme

18 22 2 B1 for answer 2 or 11 or M1 for 2 ×11 as final answer or 66 = 2 × 3 ×11 and 110 = 2 × 5 ×11 or for 2 correct tables or factor trees

Question 193 marks

Question

(a) P is a prime number. Write down the value of P that satisfies the inequality 13 1 P 1 19 . P = …… [1] (b) Write down the inequality represented on the number line. x -3 -2 -1 0 1 2 3 4 5 6 7 8 …… [2] * 0000800000013 * DFD 13

Mark scheme

19(a) 17 1 19(b) −2 x < 7 final answer 2 B1 for x ≥ −2 or x < 7

Question 201 mark

Question

% J K Use set notation to describe the shaded region. …… [1] 7 1

Mark scheme

20 JUK 1

Question 213 marks

Question

Work out 2 # 1 . 9 5 Give your answer as a mixed number in its simplest form. …… [3]

Mark scheme

21 1 3 10 3 cao nfww B2 for 3 3 OR 25 6 M1 for and 9 5 150 A1 for 45 25 6 If 0 scored SC1 for or seen. 9 5

Question 222 marks

Question

The mass, m kg, of a stone is 3.2 kg, correct to the nearest 100 g. Complete this statement about the value of m. …… G m 1 …… [2] * 0000800000014 * DFD 14

Mark scheme

22 3.15 3.25 2 B1 for each If 0 scored SC1 for both correct but reversed or for 3150 ≤ m < 3250

Question 234 marks

Question

(a) Factorise. 9x - 6 xy …… [2] (b) Expand and simplify. (2x + 3) (x - 4) …… [2]

Mark scheme

23(a) 3 x ( 3 − 2 y ) final answer 2 B1 for answer of 3 ( 3 x − 2 xy ) or x ( 9 − 6 y ) or for 3 x ( 3 − 2 y ) seen then spoilt 23(b) 2 x 2 − 5 x − 12 final answer 2 B1 for 2 x 2 + 3x − 8 x − 12 with at least 3 terms correct or for 2 x 2 − 5 x − 12 seen then spoilt

Question 24

Question

Solve the simultaneous equations. 5x + 2y = 3 3x + 4y = 27 x = …… * 0000800000015 * DFD 15

Mark scheme

24 [ x =] − 3 3 M1 for correctly eliminating one variable [ y =] 9 A1 for x = −3 nfww A1 for y = 9 If A0 scored SC1 for 2 values satisfying one of the original equations

Question 253 marks

Question

The diagram shows a shape made from two different semicircles, with the same centre. NOT TO SCALE 4 cm 7 cm The radius of the large semicircle is 7 cm. The radius of the small semicircle is 4 cm. Work out the perimeter of the shape. Give your answer in terms of r . …… cm [3] * 0000800000016 * DFD 16

Mark scheme

25 11π + 6 final answer 3 B2 for 11π + k , k 0 as final answer or for correct answer seen and spoilt or M2 for 7π + 4π + 2 × ( 7 − 4 ) oe or M1 for 7π or 4π or [2×](7 – 4) oe

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How this paper is marked

Examiners follow the generic marking principles at the front of the scheme, then each question's points: method (M), accuracy (A) and independent (B) marks, error carried forward where the scheme allows it, and positive marking, so you're credited for what you got right.

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Where can I find the 0580/12 May/June 2025 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/12, May/June 2025 (0580_s25_ms_12), and the question paper (0580_s25_qp_12), to read or download, with each question's marking points written out underneath.

How many marks is 0580/12 out of?

Mathematics 0580/12 for May/June 2025 is out of 80 marks, with 1 hour 30 minutes to answer it.

Can I get my 0580/12 answers marked?

Yes. Upload your answers to 0580/12/M/J/25 as a PDF or photos, and CIE Buddy marks every question against this paper's official mark scheme, using Cambridge's marking rules. You get your score, each lost mark explained on your own script, and the topics to revise. It's a guide, not an official Cambridge grade.