Question 11 mark
Question
Write 3.45 pm using the 24-hour clock. …… [1]
Mark scheme
1 15 45 1
Mathematics 0580/32 May/June 2025: question paper and mark scheme
Cambridge IGCSE Mathematics (0580), Paper 3 (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_320580_s25_ms_320580/32/M/J/25
- Paper
- Paper 3 (Core)
- Total marks
- 80
- Time
- 1 hour 30 minutes
- Code on the paper
- 0580/32/M/J/25
0580/32 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
The diagram shows a square-based pyramid. Complete this statement. The pyramid has …… edges and …… vertices. [2]
Mark scheme
2 8 5 2 B1 for each in correct position
Question 31 mark
Question
Convert 3 m into mm. …… mm [1]
Mark scheme
3 3000 1
Question 44 marks
Question
Apples cost $1.20 per kilogram and one banana costs 35 cents. (a) Work out the total cost, in dollars, of 3 kg of apples and 7 bananas. $ …… [3] (b) Work out the change from $20. $ …… [1]
Mark scheme
4(a) 6.05 cao 3 M2 for 3 × 1.2 [ 0] + 7 × 0.35 oe or B2 for 605 or 6.05 seen then spoilt or B1 for 3.6[0] or 360 or 2.45 or 245 or M1 for 3 × 120 + 7 × 35 4(b) 13.95 1 FT 20 − their (a)
Question 51 mark
Question
A student scores 58 out of 80 in a test. Calculate their percentage score. …… % [1] * 0000800000004 * DFD 4
Mark scheme
5 72.5 1
Question 62 marks
Question
Calculate 57% of 45. …… [2]
Mark scheme
6 25.65 2 57 M1 for × 45 oe 100
Question 72 marks
Question
A train leaves station A at 13 44. The train arrives at station B after 3 hours and 30 minutes. (a) Work out the time the train arrives at station B. …… [1] (b) The distance between station A and station B is 210 km. Calculate the average speed of the train in km/h. …… km/h [1]
Mark scheme
7(a) 17 14 1 7(b) 60 1
Question 83 marks
Question
The exchange rate is $1 = 0.923 euros. Calculate the difference between 750 euros and $846. Give your answer in euros correct to 2 decimal places. …… euros [3] * 0000800000005 * DFD 5
Mark scheme
8 30.86 cao 3 B2 for 30.858 or M1 for 846 × 0.923 750 or 846 − × 0.923 0.923 B1 for rounding their answer correct to 2 decimal places
Question 94 marks
Question
Flo has a bag of counters. She picks a counter at random from the bag. The probability that she picks a green counter is 0.52 . (a) Work out the probability that she does not pick a green counter. …… [1] (b) The bag contains three colours of counters, green, pink and red. Colour of counter Green Pink Red Probability 0.52 There are three times as many pink counters as red counters. Complete the table. [2] (c) Flo picks one counter from the bag at random, records the colour and replaces it in the bag. She does this 200 times. Calculate the expected number of times she picks a green counter. …… [1] * 0000800000006 * DFD 6
Mark scheme
9(a) 0.48 1 9(b) 0.36 0.12 2 B1 for each in correct position their(a) 1 − 0.52 or M1 for or oe 4 4 9(c) 104 1
Question 105 marks
Question
A NOT TO 65° SCALE O x° y° C B A, B and C are points on a circle, centre O, diameter AC. Complete these statements, giving geometrical reasons. (a) The value of x is …… because …… …… [2] (b) Angle ABC = 90° because …… …… [1] (c) The value of y is …… because …… …… [2] * 0000800000007 * DFD 7
Mark scheme
10(a) 65 2 B1 for 65 base angles of an isosceles triangle are equal 10(b) Angle in a semicircle equals 90 1 10(c) 25 2 B1 for each Angle sum of a triangle equals 180
Question 112 marks
Question
The scale drawing shows the position of a hospital, H. The scale is 1 centimetre represents 6 kilometres. North H Scale: 1 cm to 6 km A school, S, is 33 km from H on a bearing of 155°. Mark the position of S on the scale drawing. [2] * 0000800000008 * DFD 8
Mark scheme
11 S marked correctly 2 B1 for HS drawn length 5.5cm B1 for bearing of S from H 155˚
Question 127 marks
Question
(a) Kim and Tom ask some students if they prefer Chemistry, Biology or Physics. Kim draws the bars for Biology and Physics on a bar chart. 10 9 8 7 6 Number of students 5 4 3 2 1 0 Chemistry Biology Physics Tom draws the sector for Chemistry on a pie chart. Chemistry 120° * 0000800000009 * DFD 9 Use the information from both diagrams to complete (i) the bar chart [2] (ii) the pie chart. [4] (b) Give one advantage of reading results from a bar chart compared to from a pie chart. …… [1] * 0000800000010 * DFD 10
Mark scheme
12(a)(i) Bar for Chemistry drawn height 8 2 M1 7 + 9 [students] = 2 [× 360˚] or better 3 12(a)(ii) Pie chart correctly drawn 4 B3 for 105 or 135 120 or M2 for ×k their 8 240 or ×k 7+9 360 or ×k 7 + 9 + their 8 where k = 1, 7 or 9 or B1 for 240 and 7 and 9 seen or 24 or 7 + 9 + their8 correctly evaluated 12(b) [Bar chart] gives the frequencies 1 [whereas pie chart only gives proportions] oe
Question 135 marks
Question
(a) 2, e, f, 20, … A linear sequence has a first term of 2 and a fourth term of 20. The term-to-term rule for this sequence is add k. Work out the values of e, f and k. e = …… f = …… k = …… [3] (b) These are the first four terms of another sequence. 9 7 5 3 Find the nth term. …… [2]
Mark scheme
13(a) 8 14 6 3 B1 for each correctly assigned 20 − 2 or M1 for oe 3 13(b) 11 − 2n oe final answer 2 B1 for answer j −2n or 11− kn , k ≠ 0 or 11 − 2n seen then spoilt
Question 144 marks
Question
(a) P = 6a + 5b Find the value of b when P = 25 and a = 3. b = …… [2] (b) Make T the subject of the formula W = kT + y . T = …… [2] * 0000800000011 * DFD 11
Mark scheme
14(a) 1.4 2 M1 for 25 = 6 × 3 + 5b or better 14(b) W−y W y 2 W y [T =] or [T =] − M1 for W − y = kT or =T + k k k k k final answer
Question 152 marks
Question
The equation of a line is y =- 5x + 7 . (a) Write down the gradient of this line. …… [1] (b) Find the coordinates of the point where this line crosses the y-axis. ( …… , …… ) [1]
Mark scheme
15(a) −5 1 15(b) 0 ,7 1
Question 164 marks
Question
(a) Sam spends $187 on electricity and gas. The ratio electricity : gas = 8 : 3 . Work out how much Sam spends on electricity. $ …… [2] (b) Jai spends $180 on electricity and $150 on gas. Write down the ratio electricity : gas in its simplest form. …… : …… [1] (c) Kat spends money on electricity and gas in the ratio electricity : gas = E : G. Write down an expression, in terms of E and G, for the fraction she spends on gas. …… [1] * 0000800000012 * DFD 12
Mark scheme
16(a) 136 2 187 M1 for × k , where k = 1, 3 or 8 oe 3+8 16(b) 6 : 5 cao 1 16(c) G 1 E +G
Question 173 marks
Question
Rick invests $6000 for 5 years at a rate of 9% per year compound interest. Calculate the total interest earned during the 5 years. $ …… [3]
Mark scheme
17 3 230 or 3231 or 3232 or 3231.7… 3 B2 for 9230 or 9231 or 9232 or 9231.7… OR 5 9 M2 for 6000 × 1 + − 6000 oe 100 5 9 or M1 for 6000 × 1 + oe 100
Question 184 marks
Question
A factory produces brass at a rate of 172 kilograms per hour. (a) Convert this rate into grams per second. ……g/s [2] (b) The rate is increased to 176 kilograms per hour. Calculate the percentage increase in the rate. …… % [2]
Mark scheme
18(a) 47.8 or 47.77 to 47.78 2 172 × 1000 M1 for oe 60 × 60 or B1 for figs 478 or 4777 to 4778 18(b) 2.33 or 2.325 to 2.326 2 176 − 172 M1 for [×100] oe 172 176 or ×100 [ −100] oe 172 176 or − 1 [×100] oe 172
Question 192 marks
Question
(a) Write 0.000 000 0347 in standard form. …… [1] (b) Calculate 3 # 10 4 # 5 # 10 6 . Give your answer in standard form. …… [1] * 0000800000013 * DFD 13
Mark scheme
19(a) 3.47 ×10−8 1 19(b) 1.5 ×1011 1
Question 203 marks
Question
Solve. (a) x + 3 = 3 x = …… [1] 5y (b) =8 3 y = …… [2]
Mark scheme
20(a) 0 1 20(b) 4 2 y 8 4.8 or 4 M1 for 5 y = 3 × 8 or = or better 5 3 5
Question 213 marks
Question
Simplify. (a) (w 3 ) 10 …… [1] (b) t 6 v 7 # t 3 v -2 …… [2] * 0000800000014 * DFD 14
Mark scheme
21(a) w30 final answer 1 21(b) t 9 v 5 final answer 2 B1 for t 9 v k or t k v 5 , final answer or correct answer seen then spoilt
Question 225 marks
Question
In this question, all lengths are in centimetres. NOT TO 4x - 9 SCALE 2x - 5 2x + 2 The diagram shows a right-angled triangle. (a) Write down an expression, in terms of x, for the perimeter of the triangle. Give your answer in its simplest form. …… [2] (b) The perimeter of the triangle is 40 cm. Work out the value of x. (c) Work out the area of the triangle. …… cm 2 [3] * 0000800000015 * DFD 15
Mark scheme
22(a) 8x −12 final answer 2 M1 for 2x − 5 + 2x + 2 + 4x − 9 soi or better or B1 for 8x or −12 , in final expression or correct expression seen then spoilt 22(b) 6.5 2 12 40 M1 for 8x = 40 + 12 or x − = 8 8 or a correct first step in rearranging their kx + j = 40 k ≠ 0, j ≠ 0 22(c) 60 3 FT their (b) for 3 marks if their (b) > 2.5 M2 for 1 × ( 2 × their (b) − 5) × ( 2 × their (b) + 2 ) oe or 2 better or M1 for substituting their (b) into 2x − 5 and 2x + 2 1 or M1 for × (2 x − 5) × (2 x + 2) 2
Question 234 marks
Question
A sphere has radius 8 cm. A cone has radius 8 cm and height h. The sphere and the cone have the same volume. Work out the height, h, of the cone. h = ……cm [4] Question 24 is printed on the next page. * 0000800000016 * DFD 16
Mark scheme
23 32 4 4 × π × 83 M3 for [h =] 3 oe 1 2 × π×8 3 4 1 or M2 for × π × 83 = × π × 82 × h oe 3 3 4 1 or M1 for × π × 83 oe or × π × 82 × h oe 3 3
Question 24
Question
The diagram shows two right-angled triangles. B dm C NOT TO 14.7 m SCALE 52° A D 10.8 m Calculate the value of d.
Mark scheme
24 12.8 or 12.76… 5 d M4 for tan 52 = oe 14.7 2 − 10.82 or B3 for 9.97[…] or M2 for 14.7 2 − 10.82 oe or M1 for 10.82 + ( BD) = 14.72 oe 2 if M2 or M1 or M0 scored, d SC1 for tan52 = oe their BD
Checked your answers against these? Let AI mark the whole paper, on your own working.
Mark my 0580/32How 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.
Check your answers against it
Done this paper? Upload your script and CIE Buddy's AI marker marks it question by question against this exact scheme, puts the ticks on your own working and says what each lost mark needed.
Other variants, May/June 2025
Find another Mathematics paper
Every IGCSE Mathematics mark schemeQuestion papers and mark schemes © Cambridge University Press & Assessment. CIE Buddy is independent and not connected to Cambridge.
0580/32 questions
Where can I find the 0580/32 May/June 2025 mark scheme?
On this page, free: the mark scheme for IGCSE Mathematics 0580/32, May/June 2025 (0580_s25_ms_32), and the question paper (0580_s25_qp_32), to read or download, with each question's marking points written out underneath.
How many marks is 0580/32 out of?
Mathematics 0580/32 for May/June 2025 is out of 80 marks, with 1 hour 30 minutes to answer it.
Can I get my 0580/32 answers marked?
Yes. Upload your answers to 0580/32/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.