Question 11 mark
Question
Write down the value of the 3 in the number 23 679. …… [1]
Mark scheme
1 3000 1
Mathematics 0580/12 October/November 2025: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 1 (Core), October/November 2025. Read both free below, or download them. Done the paper? Get it marked by AI against this mark scheme.
0580_w25_qp_120580_w25_ms_120580/12/O/N/25
- Paper
- Paper 1 (Core)
- Total marks
- 80
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/12/O/N/25
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 22 marks
Question
Tom buys 2 books costing $8.20 each. Work out how much change he receives from $20. $ …… [2]
Mark scheme
2 3.6[0] 2 M1 for 20 − 2 × 8.20 or B1 for 16.4[0]
Question 32 marks
Question
(a) Write 17 469 correct to the nearest ten. …… [1] (b) Write 5.073 correct to 1 decimal place. …… [1]
Mark scheme
3(a) 17 470 cao 1 3(b) 5.1 cao 1
Question 42 marks
Question
(a) Write down the value of 144. …… [1] (b) Work out the value of 53. …… [1] * 0000800000004 * DFD 4
Mark scheme
4(a) 12 1 4(b) 125 cao 1
Question 53 marks
Question
The diagram is made from equilateral triangles. (a) On the diagram, draw all the lines of symmetry. [2] (b) Write down the order of rotational symmetry. …… [1] 3
Mark scheme
5(a) 3 correct lines 2 B1 for two correct lines and no extras or 3 correct lines and one extra 5(b) 3 1
Question 63 marks
Question
(a) Write as a decimal. 4 …… [1] 9 (b) Write 100 as a percentage. …… % [1] (c) Write 143% as a decimal. …… [1]
Mark scheme
6(a) 0.75 1 6(b) 9 1 6(c) 1.43 cao 1
Question 73 marks
Question
A bag contains 8 discs numbered 1 to 8. A disc is picked at random from the bag. 0 1 On the probability scale, draw an arrow ( ) to show the probability that the number is (a) an even number, label the arrow A [1] (b) 9, label the arrow B [1] (c) less than 3, label the arrow C. [1] * 0000800000005 * DFD 5
Mark scheme
7(a) Arrow labelled A on 0.5 1 7(b) Arrow labelled B on 0 1 7(c) Arrow labelled C on 0.25 1
Question 83 marks
Question
A number, n, is a factor of 144 and a multiple of 9. Find all the values for n. …… [3]
Mark scheme
8 9, 18, 36, 72, 144 3 B2 for 3 correct and no extras or 5 correct and 1 extra as the answer or B1 for two correct and no extras or M1 factors of 144 up to 72 or multiples of 9 up to 72
Question 92 marks
Question
The temperature at midday on Monday is –3 °C. The temperature at 10 pm on Monday is –15 °C. (a) Calculate the difference between these two temperatures. …… °C [1] (b) The temperature at midday on Tuesday is 23 °C higher than the temperature at 10 pm on Monday. Calculate the temperature at midday on Tuesday. …… °C [1] * 0000800000006 * DFD 6
Mark scheme
9(a) 12 1 9(b) 8 1
Question 101 mark
Question
A bag contains red balls and green balls. They are in the ratio red balls : green balls = 2 : 3. A ball is picked at random. Find the probability that it is a red ball. …… [1]
Mark scheme
10 2 1 oe 5
Question 116 marks
Question
The stem-and-leaf diagram shows the number of customers entering a shop each day for 20 days. 3 0 1 5 9 4 1 4 6 8 9 5 1 3 4 4 4 7 8 6 3 6 6 7 2 Key : 3 0 represents 30 customers (a) Find the range. …… [1] (b) Find the mode. …… [1] (c) Work out the percentage of these 20 days when more than 55 customers enter the shop. …… % [2] (d) (i) Find the median. …… [1] (ii) On the next day 48 customers enter the shop. Will the median increase or decrease? Give a reason for your answer. …… because …… …… [1] * 0000800000007 * DFD 7
Mark scheme
11(a) 42 1 11(b) 54 1 11(c) 30 2 6 B1 for oe 20 11(d)(i) 52 1 11(d)(ii) Decrease AND acceptable reason e.g. 48 1 is below the median
Question 125 marks
Question
The diagram shows a parallelogram. (3x + 10) ° NOT TO SCALE (x - 30) ° (a) Use the information in the diagram to write an equation and solve it to find the value of x. x = …… [4] (b) Find the value of the largest angle in this parallelogram. …… [1] * 0000800000008 * DFD 8
Mark scheme
12(a) 4x = 200 oe M3 M2 for x – 30 + 3x + 10 = 180 oe M1 for attempt to simplify to ax − b = c or ax = b + c OR If M0 scored M2 for correct simplification to ax = b + c FT from their linear equation or M1 for correct simplification to ax − b = c FT from their linear equation OR If M0 award SC2 for answer of 50 from no working or from no incorrect working 50 A1 12(b) 160 nfww 1 FT 3 × their 50 + 10
Question 133 marks
Question
5 cm NOT TO 3 cm SCALE 4 cm 4 cm The diagram shows a right-angled triangular prism. Complete the net of this prism on the 1 cm2 grid. One face has been drawn for you. [3] * 0000800000009 * DFD 9
Mark scheme
13 Fully correct net 3 B2 for the two correct rectangles, in either order below the given face and two 3,4,5 triangles, one on each side or B1 for 1 correct rectangle in either place below the given face or for two 3, 4, 5 triangles, one each side
Question 143 marks
Question
The diagram shows a smaller triangle DEF which has vertices on the sides of a larger triangle ABC. NOT TO A SCALE 100° E x° 25° D 50° 45° 35° 30° B C F Find the value of x. x = …… [3]
Mark scheme
14 10 3 B2 for any two correct angles identified from BDF = 85, FDE = 70 and DFE = 100 or B1 for any one of them OR B1 for AED = 55 and B1 for CEF = 115
Question 153 marks
Question
Three sisters share $n in the ratio 10 : 3 : 2. The smallest share is $120. Find the value of n. n = …… [3]
Mark scheme
15 900 3 120 M2 for × (10 + 3 + 2 ) oe 2 120 or M1 for [×k ] (k = 1, 3 or 10) 2
Question 162 marks
Question
9.857 # 10 -2 3.5 # 10 2 1.54 # 10 1 6.5 # 10 -2 Write these numbers in order, starting with the smallest. …… < …… < …… < …… [2] smallest * 0000800000010 * DFD 10
Mark scheme
16 6.5 × 10–2 , 9.857 × 10-2 , 1.54 × 101 , 2 B1 for 3 in the correct order 3.5 × 102 or M1 for 0.09857, 350, 15.4, 0.065 oe
Question 172 marks
Question
8 cm NOT TO SCALE 6 cm 14 cm Calculate the area of this trapezium. …… cm2 [2]
Mark scheme
17 66 2 8 + 14 M1 for × 6 oe 2
Question 183 marks
Question
Work out. 5 1 2 '4 6 4 Write your answer as a fraction in its simplest form. …… [3] * 0000800000011 * DFD 11
Mark scheme
18 2 3 17 4 cao M2 for × 3 6 17 their17 4 or M1 for × 6 their17 17 17 4 or B1 for or or 6 4 17 Alternative : 34 51 M2 for ÷ 12 12 their 34 their 51 or M1 for ÷ 12 12
Question 1910 marks
Question
The grid shows two flags, F and A. y 7 6 5 F 4 3 2 1 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 x –1 A –2 –3 –4 –5 –6 –7 (a) On the grid, draw the image of flag F after a reflection in the line x =- 1 . [2] (b) On the grid, draw the image of flag F after a rotation of 180° about (0, 0). [2] (c) Describe fully the single transformation that maps flag F onto flag A. …… [2] * 0000800000012 * DFD 12 20 % = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5, 7, 9} B = {1, 3, 6, 10} % A B (a) Use this information to complete the Venn diagram. [2] (b) List the elements of A + B . …… [1] (c) Find n (Bl) . …… [1]
Mark scheme
19(a) Fully correct reflection, points (−4, 5) 2 B1 for a correct reflection in x = k or (−5, 5) (−4, 4) (−5, 4) (−4, 2) y=−1 19(b) Fully correct rotation, points (−2, −2) 2 B1 for a correct rotation of 180° about (−2, −4) (−2, −5) (−3, −5) (−3, −4) the wrong centre 19(c) Translation 2 B1 for each 2 −6
Question 20
Question
In the question paper above.
Mark scheme
20(a) 2 B1 for at least 8 elements in the correct place 20(b) 1, 3 1 FT their (a) 20(c) 6 1 FT their (a)
Question 212 marks
Question
Simplify. 18x 8 9x 2 …… [2]
Mark scheme
21 2x6 final answer 2 B1 for kx6 or 2xc as final answer or 2x6 seen and spoilt
Question 222 marks
Question
Work out the size of one interior angle of a regular hexagon. …… [2] * 0000800000013 * DFD 13
Mark scheme
22 120 2 M1 for 180 − (360 ÷ 6) oe or ( 6 − 2 ) × 180 oe 6
Question 236 marks
Question
There are two charges for crossing a bridge. Cars $a Other vehicles $b On Monday 4 cars and 20 other vehicles pay a total of $130. On Tuesday 6 cars and 15 other vehicles pay a total of $105. Write down two equations and solve them to find the value of a and the value of b. a = …… b = …… [6] * 0000800000014 * DFD 14
Mark scheme
23 4a + 20b = 130 oe 2 B1 for each 6a + 15b = 105 oe [a =] 2.5 4 M1FT for correctly equating one set of [b =] 6 coefficients M1FT for correct method to eliminate one variable A1 for a = 2.5 A1 for b = 6 If A0 scored, SC1 for two positive costs which satisfy one of the original conditions
Question 241 mark
Question
NOT TO SCALE A O 36° B C B is a point on the circle, centre O. ABC is a tangent to the circle at B and angle OAB = 36°. Work out the size of angle AOB. Angle AOB = …… [1]
Mark scheme
24 54 1
Question 254 marks
Question
(a) Expand and simplify. (x - 5) (x + 2) …… [2] (b) Factorise. 5x 3 + 10x …… [2] * 0000800000015 * DFD 15
Mark scheme
25(a) x2 – 3x – 10 final answer 2 B1 for x2 – 5x + 2x – 10 with at least 3 terms correct 25(b) 5x(x2 + 2) final answer 2 B1 for 5(x3 + 2x) or x(5x2 + 10) or 5x(x2 + 2) seen and spoilt
Question 262 marks
Question
The length, l metres, of a rope is 16.32 metres, correct to 2 decimal places. Complete this statement about the value of l. …… G l 1 …… [2]
Mark scheme
26 16.315 16.325 2 B1 for each If 0 scored, SC1 for both correct but reversed
Question 274 marks
Question
(a) These are the first four terms of a sequence. 2 8 14 20 Find the nth term of this sequence. …… [2] (b) The nth term of a different sequence is n 2 + 10 . Find the first three terms of this sequence. …… , …… , …… [2] * 0000800000016 * DFD 16
Mark scheme
27(a) 6n – 4 oe final answer 2 B1 for 6n + c or kn – 4 (k ≠ 0) or 6n – 4 seen and spoilt 27(b) 11 14 19 2 B1 for two correct terms in the correct places
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0580/12 questions
Where can I find the 0580/12 October/November 2025 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/12, October/November 2025 (0580_w25_ms_12), and the question paper (0580_w25_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 October/November 2025 is out of 80 marks, with 1 hour 30 minutes to answer it.
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