Question 12 marks
Question
Write down all the factors of 26. …… [2]
Mark scheme
1 1 2 13 26 2 B1 for 3 correct and no extra or 4 correct and 1 extra
Mathematics 0580/33 October/November 2025: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 3 (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_330580_w25_ms_330580/33/O/N/25
- Paper
- Paper 3 (Core)
- Total marks
- 80
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/33/O/N/25
0580/33 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
B O A A and B lie on a circle, centre O. (a) Write down the mathematical name of the line AB. …… [1] (b) On the diagram, draw a radius. [1]
Mark scheme
2(a) Chord 1 2(b) Radius drawn 1
Question 33 marks
Question
(a) Write 0.25 as a fraction. …… [1] 1 (b) Write as a percentage. 2 …… % [1] (c) Write 7% as a decimal. …… [1]
Mark scheme
3(a) 1 1 or equivalent fraction 4 3(b) 50 1 3(c) 0.07 cao 1
Question 42 marks
Question
(a) Write down the mathematical name of this solid. …… [1] (b) 60° 60° 60° Write down the mathematical name of this type of triangle. …… [1]
Mark scheme
4(a) Cylinder 1 4(b) Equilateral 1
Question 53 marks
Question
red white white blue red The diagram shows a fair 5-sided spinner. The spinner is spun once. (a) Write down the colour the spinner is least likely to land on. …… [1] (b) Find the probability that the spinner lands on white. …… [1] (c) Find the probability that the spinner does not land on red. …… [1]
Mark scheme
5(a) Blue 1 5(b) 2 1 oe 5 5(c) 3 1 oe 5
Question 62 marks
Question
(a) Write down the reciprocal of 8. …… [1] (b) Work out 19 3 . …… [1]
Mark scheme
6(a) 1 1 or 0.125 8 6(b) 6859 1
Question 72 marks
Question
200 175 150 125 100 Number of 90 cars sold 80 70 60 50 40 30 20 10 0 Mar Apr May Months A newspaper prints this bar chart to show the number of cars sold by a garage in March, April and May. Give two reasons why the bar chart is incorrect. 1 …… 2 …… [2]
Mark scheme
7 Bar width not equal oe 2 B1 for each Scale not linear oe
Question 81 mark
Question
Work out the number of seconds in six and a half hours. …… seconds [1]
Mark scheme
8 23 400 1
Question 92 marks
Question
8 cm 7 cm 15 cm NOT TO 12 cm SCALE 5 cm 23 cm Find the area of the shape. …… cm2 [2]
Mark scheme
9 171 2 M1 for 12 × 8 + 5 × 15 oe or 23 × 5 + 8 × 7 oe or 15 × 5 + 8 × 7 + 8 × 5 oe or 23 × 12 – 15 × 7 oe
Question 104 marks
Question
(a) Jason records his score in each of 10 games of cricket. 16 7 21 8 20 9 11 7 14 3 (i) Find the mode. …… [1] (ii) Work out the range. …… [1] (b) Ed plays 5 games. His mean score is 28. After one more game his mean score is now 26. Work out his score in the sixth game. …… [2]
Mark scheme
10(a)(i) 7 1 10(a)(ii) 18 1 10(b) 16 2 M1 for (26 × 6) and (28 × 5) oe
Question 112 marks
Question
Calculate 19% of $46.25 . Give your answer correct to the nearest cent. $ …… [2]
Mark scheme
11 8.79 cao 2 19 M1 for × 46.25 oe 100 or B1 for correctly rounding their more accurate answer
Question 124 marks
Question
(a) Simplify. 5b - 8c + 2b - 3c …… [2] (b) q = 3r + 5t Find the value of t when q = 37 and r = 4 . t = …… [2]
Mark scheme
12(a) 7b – 11c final answer 2 B1 for 7b or – 11c in final answer or for 7b – 11c seen then spoilt 12 (b) 5 2 M1 for 37 = 3 × 4 + 5t oe
Question 132 marks
Question
Divide $136 in the ratio 3 : 5. $…… , $…… [2]
Mark scheme
13 51 85 2 M1 for 136 ÷ (3 + 5) × k where k is 1, 3 or 5
Question 142 marks
Question
Carl packs pens into boxes. Each box holds 68 pens. Carl has 980 pens and 14 boxes. Does Carl have enough boxes to pack all the pens? Show how you decide. …… because …… …… [2]
Mark scheme
14 Correct working shown leading to 2 B1 for 980 ÷ 68 answer No with a correct statement. e.g. or No, he would need 15 boxes oe 980 ÷ 68 [= 14.4…] or 14 × 68 No, he would need 15 boxes oe or No, he can only pack 952 or or he has 28 remaining oe 14 × 68 [= 952] or 980 ÷ 14 No, he can only pack 952 or he has 28 remaining oe or No, each box would need to hold 70 pens oe or 980 ÷ 14 [ = 70] No, each box would need to hold 70 pens oe
Question 151 mark
Question
NOT TO SCALE x° 68° 43° 135° Find the value of x. x = …… [1]
Mark scheme
15 114 1
Question 165 marks
Question
NOT TO x cm SCALE 5 cm 4 cm The diagram shows an isosceles triangle. (a) Calculate the value of x. x = …… [2] (b) The triangle is one face of a square-based pyramid. Each triangular face of the pyramid is the same. On the 1 cm2 grid, draw a net of this pyramid. [3]
Mark scheme
16(a) 5.39 or 5.385… 2 M1 for 52 + 22 oe 16(b) Correct net of the pyramid 3 B2 for a 4 by 4 square and 4 identical isosceles triangles correctly placed on the square or 3 correct faces e.g. a 4 by 4 square and at least two correct triangles correctly placed on the square or B1 for one correct face on a net or 4 isosceles triangles with height 5 on the sides of a square
Question 171 mark
Question
Write 46.179 correct to 4 significant figures. …… [1]
Mark scheme
17 46.18 cao 1
Question 182 marks
Question
Calculate. 8.4 2 + 9.3 (a) 26.5 …… [1] (b) 4 -3 …… [1]
Mark scheme
18(a) 1.74 or 1.735 to 1.736 1 18(b) 1 1 0.015625 or 64
Question 192 marks
Question
Expand and simplify. 3 (5x + 2) - 4 (x + 1) …… [2]
Mark scheme
19 11x + 2 final answer 2 B1 for 15x + 6 or – 4x – 4 or for 11x + 2 seen then spoilt or for 11x or 2 in the final answer
Question 20
Question
Due to an issue with question 20, the question has been removed from the question paper.
Mark scheme
20 Due to an issue with question 20, 2 the question has been removed from the question paper. AWARD 2 MARKS
Question 215 marks
Question
The diagram shows shapes A and B. y 5 4 3 A B 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 x –1 –2 –3 –4 –5 (a) Describe fully the single transformation that maps shape A onto shape B. …… [3] (b) On the grid, draw the image of shape A after a reflection in the line y = 0 . [2]
Mark scheme
21(a) Rotation 3 B1 for rotation [centre] (0,0) 90 clockwise B2 90 clockwise and centre (0,0) or 90 [anticlockwise] and centre (0,5) OR B1 for 90 clockwise or 90 [anticlockwise] or centre (0,0) or centre (0,5) 21(b) Points plotted at 2 B1 for reflection in y = k or in x = 0 (–4, 2) (–2, –2) (–3,–3) (–1, –3)
Question 226 marks
Question
(a) Complete the table of values for y = x 2 - 4 . x –4 –3 –2 –1 0 1 2 3 4 y 12 0 –3 –3 0 12 [2] (b) On the grid, draw the graph of y = x 2 - 4 for - 4 G x G 4 . y 12 11 10 9 8 7 6 5 4 3 2 1 –4 –3 –2 –1 0 1 2 3 4 x –1 –2 –3 –4 –5 [4]
Mark scheme
22(a) 5 –4 5 2 B1 for 2 correct 22(b) Correct curve 4 B3FT for 8 points correctly plotted B2FT for 6 points correctly plotted B1FT for 4 points correctly plotted
Question 235 marks
Question
(a) Jo buys a candle for $3.20 . She sells the candle for $4.64 . Find the percentage profit on the candle. …… % [2] (b) The candle is in the shape of a cone. The volume of the candle is 900 cm3. The height of the candle is 8 cm. Calculate the radius of the candle. …… cm [3]
Mark scheme
23(a) 45 2 4.64 −3.2 M1 for [×100] oe 3.2 4.64 or ×100[–100] oe 3.20 4.64 or – 1 [×100] oe 3.20 23(b) 10.4 or 10.36… 3 900 × 3 M2 for oe 8π or 900 × 3 M1 for [r2 =] oe 8π 1 or for 900 = πr 2 × 8 oe and a correct first 3 step
Question 242 marks
Question
Make p the subject of the formula m = 9p + 32 . p = …… [2]
Mark scheme
24 m − 32 2 m 32 p= final answer oe M1 for m – 32 = 9p or =p+ oe 9 9 9
Question 252 marks
Question
Find the lowest common multiple (LCM) of 20 and 36. …… [2]
Mark scheme
25 180 2 B1 for 180k as final answer or M1 for [20 =] 2 × 2 × 5 and [36 =] 2 × 2 × 3 × 3 or 2 correct factor trees or tables or lists or a list of multiples of both 20 and 36 with at least 3 of each or 2 × 2 × 3 × 3 × 5 oe
Question 263 marks
Question
Line L is drawn on the grid. y 22 L 20 18 16 14 12 10 8 6 4 2 –5 –4 –3 –2 –1 0 1 2 3 4 x –2 –4 –6 Find the equation of line L in the form y = mx + c . y = …… [3]
Mark scheme
26 [y=] 3x + 9 cao final answer 3 B2 for 3x + c or for a correct unsimplified answer or M1 for a correct rise/run or for a right-angled triangle with run = 1 and rise = 3 marked on graph oe or B1 for mx + 9 where m is their gradient
Question 27
Question
Due to an issue with question 27, the question has been removed from the question paper.
Mark scheme
27 Due to an issue with question 27, 4 the question has been removed from the question paper. AWARD 4 MARKS
Question 283 marks
Question
The travel graph shows Chi’s journey from home to the station. 6 Station 5 4 Distance 3 (km) 2 1 Home 0 08 00 08 05 08 10 08 15 08 20 08 25 08 30 08 35 08 40 Time Calculate Chi’s average speed for the whole journey. Give your answer in kilometres per hour. …… km/h [3] Question 29 is printed on the next page.
Mark scheme
28 9 3 5.4 M2 for × 60 oe 36 their distance or M1 for their time
Question 294 marks
Question
(a) NOT TO SCALE 20.8 cm A x cm B 9.1 cm 1.4 cm The diagram shows two similar triangles, A and B. Calculate the value of x. x = …… [2] (b) 5.4 cm 38° y cm The diagram shows a right-angled triangle. Calculate the value of y. y = …… [2]
Mark scheme
29(a) 3.2 2 20.8 9.1 M1 for = oe x 1.4 29(b) 4.26 or 4.255.. 2 y M1 for cos38 = or better 5.4 y or sin 52 = or better 5.4
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Where can I find the 0580/33 October/November 2025 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/33, October/November 2025 (0580_w25_ms_33), and the question paper (0580_w25_qp_33), to read or download, with each question's marking points written out underneath.
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Mathematics 0580/33 for October/November 2025 is out of 80 marks, with 1 hour 30 minutes to answer it.
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