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Mathematics 0580/12 February/March 2025: question paper and mark scheme

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

0580_m25_qp_120580_m25_ms_120580/12/F/M/25

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Paper
Paper 1 (Core)
Total marks
80
Time
1 hour 30 minutes
Code on the paper
0580/12/F/M/25
0580_m25_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 twenty thousand in figures. …… [1]

Mark scheme

1 20 000 1

Question 23 marks

Question

Write 0.07 (a) as a percentage …… % [1] (b) as a fraction …… [1] (c) in standard form. …… [1]

Mark scheme

2(a) 7 1 2(b) 7 1 100 2(c) 7 ×10−2 1

Question 32 marks

Question

Write down all the factors of 18. …… [2]

Mark scheme

3 1 2 3 6 9 18 2 B1 for 4 correct and no extras or for 6 correct and one incorrect

Question 43 marks

Question

Find the value of (a) 10 3 …… [1] 3 (b) 27 …… [1] (c) 7 0 . …… [1]

Mark scheme

4(a) 1000 1 4(b) 3 1 4(c) 1 1

Question 53 marks

Question

(a) On the diagram, draw all the lines of symmetry. [2] (b) Shade one square so that the diagram has rotational symmetry of order 2. [1]

Mark scheme

5(a) 2 correct lines of symmetry drawn 2 B1 for one line correct and no extras or for 2 lines correct and one extra 5(b) 1 square correctly shaded 1

Question 62 marks

Question

Find the value of the reciprocal of 0.25 . …… [2]

Mark scheme

6 4 2 1 M1 for oe 0.25

Question 72 marks

Question

Work out - 6 # - 3 + 7 # 2 . …… [2]

Mark scheme

7 32 2 B1 for 18 or 14

Question 82 marks

Question

Write these numbers in order, starting with the smallest. 1 3 34% r 3 3 10 ……1……1……1……1…… [2] smallest

Mark scheme

8 3 1 2 B1 for 4 in the correct order 34% 3 π 10 3 or M1 for decimal equivalents to compare numbers 0.34, 3.1..,0.33, [3], 0.3

Question 91 mark

Question

A film starts at 19 35. The film lasts for 70 minutes. Work out the time the film finishes. …… [1]

Mark scheme

9 2045 1

Question 102 marks

Question

A shape is drawn on a 1 cm 2 grid. (a) Find the area of the shape. …… cm 2 [1] (b) On the grid, shade 50% of the shape. [1]

Mark scheme

10(a) 20 1 10(b) 10 squares shaded 1

Question 112 marks

Question

19.5 # 20.4 = 397.8 Work out. (a) 1.95 # 2.04 …… [1] (b) 3978 ' 204 …… [1]

Mark scheme

11(a) 3.978 1 11(b) 19.5 1

Question 124 marks

Question

(a) Kat has a method for finding the difference between two square numbers, a 2 - b 2 . Her method is (the sum of a and b) # (the difference between a and b) . She shows her method for 17 2 - 13 2 . 17 2 - 13 2 = (17 + 13) # (17 - 13) = 30 # 4 = 120 Work out 29 2 - 21 2 using Kat’s method. …… [2] (b) In this part, all lengths are in centimetres. 17 NOT TO SCALE 17 13 13 100 The diagram shows a prism. Work out the volume of the prism. …… cm 3 [2]

Mark scheme

12(a) ( 29 + 21) × ( 29 − 21) M1 = 50 × 8 400 A1 12(b) 12000 ( ) 2 M1 for 172 − 132 [ ×100] oe

Question 131 mark

Question

Convert 8 litres into cm 3 . …… cm 3 [1]

Mark scheme

13 8000 1

Question 147 marks

Question

C NOT TO SCALE 4 cm D 6 cm A 6 cm B The diagram shows a triangular prism. ABC is an isosceles triangle with AC = BC. The perpendicular height of triangle ABC is 4 cm. AB = 6 cm and BD = 6 cm. (a) Complete this statement. The prism has …… faces and …… edges. [2] (b) Show that the length of BC is 5 cm. [2] (c) Complete the net of the prism on the 1 cm 2 grid. The base has been drawn for you. [3]

Mark scheme

14(a) 5 9 2 B1 for each 14(b) 32 + 42 [=5] 2 M1 for 32 + 42 14(c) correct net drawn 3 B2 for 3 correct extra faces drawn in correct places or B1 for 1 correct extra face drawn in correct place

Question 155 marks

Question

D NOT TO SCALE y° A B C The diagram shows a triangle BCD and a straight line ABC. DB=DC=BC. (a) Write down the mathematical name for triangle BCD. …… [1] (b) Work out the value of y. Give two geometrical reasons for your answer. y = …… because 1. …… 2. …… [4]

Mark scheme

15(a) equilateral 1 15(b) 120 2 B1 for DBC=60 Angles in an equilateral triangle are 1 equal Angles on a straight line add to 180 1

Question 162 marks

Question

Jill records the temperature and the number of people on a beach for each of ten days. The results are shown in the scatter diagram. Number of people Temperature (a) What type of correlation is shown in the scatter diagram? …… [1] (b) Describe the relationship between the temperature and the number of people on the beach. …… [1]

Mark scheme

16(a) positive 1 16(b) the higher the temperature the higher 1 the number of people oe

Question 174 marks

Question

Line L is shown on the grid. y 7 L 6 5 4 3 2 1 0 2 3 4 5 6 7 8 x 1 (a) Find the equation of line L in the form y = mx + c . y = …… [2] (b) Line L crosses the x-axis at P. Find the coordinates of P. (…… , ……) [2] 12

Mark scheme

17(a) 1 2 1 [ y =] x + 3 final answer B1 for x+c 2 2 or B1 for mx + 3 where m ≠ 0 17(b) ( −6,0 ) 2 B1 for (−6, j) or (k, 0) 1 or M1 for 0 = their x + 3 or better 2

Question 189 marks

Question

(a) Complete the table of values for y = . x x -6 -4 -3 -2 -1 1 2 3 4 6 y -3 -6 6 3 [3] 12 (b) On the grid, draw the graph of y = for - 6 G x G -1 and 1 G x G 6 . x y 12 10 8 6 4 2 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 x -2 -4 -6 -8 -10 -12 [4] (c) On the grid, draw the line y =- 9 . [1] 12 (d) Use your graph to solve =- 9 . x x = …… [1]

Mark scheme

18(a) −2 − 4 −12 12 4 2 3 B2 for 4 correct or B1 for 1 correct 18(b) Correct curve 4 B3FT for 9 points correctly plotted or B2FT for 7 points correctly plotted or B1FT for 5 points correctly plotted 18(c) y = −9 correctly drawn, ruled 1 18(d) −1.4 to −1.2 1 FT their curve and y = −9

Question 193 marks

Question

(a) n is an odd number. Write down the values of n that satisfy 7 1 n G 15 . …… [2] (b) x –1 0 1 2 3 4 5 6 7 8 9 Pip thinks -1 1 x 1 8 is the inequality represented on the number line. Complete the statement. Pip’s inequality is not correct because …… …… [1]

Mark scheme

19(a) 9 11 13 15 final answer 2 B1 for 3 correct and no errors or for 4 correct and one extra 19(b) Pip needed to use two ⩽ signs oe 1

Question 202 marks

Question

The height, h metres, of a building is 635 m, correct to the nearest metre. Complete this statement about the value of h. …… G h 1 …… [2]

Mark scheme

20 634.5 635.5 2 B1 for each If 0 scored SC1 for both correct but answers reversed

Question 21

Question

X = 13 w 2 p (a) Find the value of X when w = 5 and p = 6. (b) Make p the subject of the formula. 7

Mark scheme

21(a) 50 2 1 2 M1 for × 5 × 6 or better 3 21(b) 3X 2 M1 for 3 X = w2 p p= 2 or p = 3 Xw−2 w X 1 1 final answer or 2 = p or Xw−2 = p w 3 3

Question 223 marks

Question

Work out 1 15 - 45 . Give your answer as a fraction in its simplest form. …… [3]

Mark scheme

22 2 3 10 cao B2 for final answer or equivalent fraction 3 15 OR 22 7 1 B1 for or + 15 15 5 3× 4 3 ×1 M1 for oe or oe 3× 5 3× 5

Question 235 marks

Question

Mai buys two batteries. 1 The probability that a battery is faulty is 10 . First battery Second battery …… Faulty Faulty 1 10 …… Not faulty …… Faulty Not faulty …… Not faulty (a) Complete the tree diagram. [2] (b) Find the probability that Mai buys two faulty batteries. …… [2] (c) A shop sells 3000 batteries in one month. Work out the expected number of faulty batteries the shop sells. …… [1]

Mark scheme

23(a) 9 1 9 1 9 2 1 1 B1 for and in correct places in 2nd 10 10 10 10 10 10 10 battery 9 or correctly placed for the first battery 10 23(b) 1 2 1 1 oe M1 for × their 100 10 10 23(c) 300 1

Question 243 marks

Question

A circle has radius 7 cm. A square has side x cm. The circumference of the circle is the same length as the perimeter of the square. Find the value of x. Give your answer in terms of r. x = …… [3]

Mark scheme

24 7π 3 M2 for 2π×7=4x oe or 3.5π 2 or M1 for 2π × 7 or14π or 4x

Question 251 mark

Question

Q B 7 cm NOT TO SCALE A 5 cm C P 10 cm R Triangle ABC is mathematically similar to triangle PQR. Show that QR = 14 cm. [1]

Mark scheme

25 10 1 × 7 [ = 14] oe 5

Question 264 marks

Question

Solve the simultaneous equations. 4t - 3w = 11 6t + 2w =- 3 t = …… w = …… [4]

Mark scheme

26 [t = ] 0.5 4 M1 for correctly equating one set of [ w =] − 3 coefficients M1 for correct method to eliminate one variable OR M1 for making t or w the subject of one equation M1 for substitution of t or w from their rearranged equation A1 for t = 0.5 A1 for w = −3 If A0 scored SC1 for 2 values satisfying one of the original equations

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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 February/March 2025 mark scheme?

On this page, free: the mark scheme for IGCSE Mathematics 0580/12, February/March 2025 (0580_m25_ms_12), and the question paper (0580_m25_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 February/March 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/F/M/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.