Cambridge IGCSE™

MATHEMATICS 0580/32
Paper 3 (Calculator) February/March 2025
MARK SCHEME
Maximum Mark: 80

Pre-standardisation

This document consists of 15 printed pages.

© UCLES 2025 [Turn over

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025

Cambridge Assessment International Education – Generic Marking Principles

These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the
specific content of the mark scheme or generic level descriptions for a question. Each question paper and mark scheme will also comply with these
marking principles.

GENERIC MARKING PRINCIPLE 1:

Marks must be awarded in line with:

● the specific content of the mark scheme or the generic level descriptions for the question

● the specific skills defined in the mark scheme or in the generic level descriptions for the question

● the standard of response required by a candidate as exemplified by the standardisation scripts.

GENERIC MARKING PRINCIPLE 2:

Marks awarded are always whole marks (not half marks, or other fractions).
GENERIC MARKING PRINCIPLE 3:

Marks must be awarded positively:

● marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the
scope of the syllabus and mark scheme, referring to your Team Leader as appropriate
● marks are awarded when candidates clearly demonstrate what they know and can do

● marks are not deducted for errors

● marks are not deducted for omissions

● answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the
question as indicated by the mark scheme. The meaning, however, should be unambiguous.

© UCLES 2025 Page 2 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
GENERIC MARKING PRINCIPLE 4:

Rules must be applied consistently, e.g. in situations where candidates have not followed instructions or in the application of generic level
descriptions.
GENERIC MARKING PRINCIPLE 5:

Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may
be limited according to the quality of the candidate responses seen).
GENERIC MARKING PRINCIPLE 6:

Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or
grade descriptions in mind.

Mathematics-Specific Marking Principles

1 Unless a particular method has been specified in the question, full marks may be awarded for any correct method. However, if a calculation is required
then no marks will be awarded for a scale drawing.
2 Unless specified in the question, non-integer answers may be given as fractions, decimals or in standard form. Ignore superfluous zeros, provided that the
degree of accuracy is not affected.
3 Allow alternative conventions for notation if used consistently throughout the paper, e.g. commas being used as decimal points.
4 Unless otherwise indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct form of answer is ignored (isw).
5 Where a candidate has misread a number or sign in the question and used that value consistently throughout, provided that number does not alter the
difficulty or the method required, award all marks earned and deduct just 1 A or B mark for the misread.
6 Recovery within working is allowed, e.g. a notation error in the working where the following line of working makes the candidate’s intent clear.

© UCLES 2025 Page 3 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
CAMBRIDGE INTERNATIONAL
CONFIDENTIAL
RM Assessor Marking instructions Syllabus Paper
March 2025 IGCSE/ O Level Examinations 0580 32

PREPARATION FOR MARKING

1. Please familiarise yourself with the Examiners’ Instructions (on-screen).

2. If this is the first time you have marked using RMA3 you should access the training videos from the Assessment Specialist website. If you have marked
using RMA3 before you may wish to re-visit this training.

3. Read through the question paper and provisional mark scheme. There WILL be further amendments to this mark scheme and you will be emailed a final
version of the mark scheme following the STM meeting to use for live marking.

4. Browse scripts in RMA3. Please look at as many as you can and refer any queries/issues to your Team Leader for consideration at their STM meeting.

STANDARDISATION
1. A FINAL mark scheme will be issued after the STM meeting. You must use this version of the mark scheme for your marking.

2. Download and mark 10 practice scripts and check them, ensuring the Comments Box is open (the Principal Examiner will add comments justifying the
marking of questions when it is not obvious). When you have checked your practice scripts, submit them.

3. Download and mark 10 standardisation scripts and submit them to your Team Leader.

4. Your Team Leader will feed back to you and approve your marking or ask you to mark a further 10 standardisation scripts.

MARKING - GENERAL
1. Mark strictly to the mark scheme and make no departure from it.

2. If you are in doubt about applying the mark scheme, or if you feel a candidate is being unfairly penalised by the application of the mark scheme, consult
your Team Leader, preferably using the RMA3 messaging system.

3. Any blank pages and the formula page are included in the first zone. These must be checked for responses by scrolling down and then adding
the SEEN annotation. If a blank page contains no questions and some relevant working follow the ‘Link pages to response’ procedure.

4. If you receive a script with Additional Objects, please add a SEEN annotation to each page to show that you have checked these pages.

5. Award NR (No Response)

© UCLES 2025 Page 4 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
● if there is nothing written at all in the answer space, or

● if there is only a comment which does not in any way relate to the question being asked (e.g. ‘can’t do’, ‘don’t know’)

● if there is only a mark which is not an attempt at the question (e.g. a dash, a question mark).
Award 0 marks
● if there is an attempt that earns no credit, including copying out the question.

6. In most parts of questions, the correct answer for that part will score full marks. However where nfww is used the answer must not come from wrong
working.

7. If the response in the answer space is incorrect, appropriate marks can be awarded by looking back at the working.
The marks available in these cases are:
M for any correct method applied to the appropriate numbers, even though a numerical error may be involved,
A for an accurate result within the working after the relevant M mark has been earned,
B for a particular result, statement or expression identified in the scheme.
SC for a special case.

8. When the answer space is blank, full marks can be awarded for the correct answer shown as the final working in the working space.
Similarly, if the working space is blank, M, A or B marks can be awarded for appropriate working or results given in the answer space.

9. Where a candidate has crossed out a complete part of a question, it should be marked provided that it has not been replaced.

10. If two or more methods are offered, mark the method that leads to the answer on the answer line. If two or more answers are offered, mark the worst.
Annotate appropriately if this is the case.

11. Method marks are for a full correct method but may be lost if subsequent incorrect method is shown.

12. Unless a particular method has been specified in the question, full marks may be awarded for any correct method. However, if a calculation is required
then no marks will be awarded for a scale drawing.

13. Transcription errors apply to numerical figures only. When the answer in the answer space is incorrect because of a clear transcription error of a correct
answer then marks may be awarded. There must not be any possibility of further incorrect work having been done. Example 123 correct answer in
working but transcribed at 132 in answer space – allow mark. NB 123 in working and 12.3 in the answer space is not a transcription error; neither is –123
in working and 123 in the answer space.

14. Where the answer in the answer space is incorrect because of a clear transcription error, then marks may be awarded.
15. Occasionally a candidate will misread a number in a question and use that value consistently throughout. Provided that number does not alter the
difficulty or method required, award all marks earned and withhold 1 mark from the total for that part or from the A or B marks earned. M marks are still
awarded in any case. Record this by using the MR annotation. This is only applied once in a whole question. MR is not applied when the candidate

© UCLES 2025 Page 5 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
misreads his or her own figures – this is regarded as an error in accuracy and marked accordingly. Example scenario 1: If a candidate misreads a value in
part (a) and then continues to use the same misread value in part (b), then the misread rule is only applied to part (a) and all marks in part (b) are
available (followed through).
Example scenario 2: If a candidate misreads a value and uses it in only one part of a question e.g. in part (a) the value is misread but not in part (b) or
vice versa, then the misread rules are applied to part (a) and part (b) is marked as normal in line with the mark scheme.

16. Unless specified in the question, answers may be given as fractions, decimals or in standard form. Other acceptable forms will be given in the mark
scheme. However, it is likely that expressions that have not been evaluated, e.g. 1.5/6 will not be given full marks. Ignore superfluous zeros provided that
the degree of accuracy is not affected.

17. Allow any sensible notation. Watch out for commas being used for decimal points and dots being used for products. Brackets may be seen to represent
inequalities.

18. Anything in the mark scheme which is in square brackets […] is not required for the mark to be earned, but if present it must be correct.

19. For a decimal answer between 0 and 1, ignore the omission of the first zero e.g. answer of 0.418, accept .418

20. Answer spaces will usually have an appropriate unit. If a candidate clearly chooses and writes down a different unit, with a value that matches the correct
answer, and the aim of the question is not affected, then allow full marks.

21. FT – a correct answer will score or follow through after an error.

Strict FT – you must follow through from their error. These will be indicated in the mark scheme.

© UCLES 2025 Page 6 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025

ABBREVIATIONS IN MARK SCHEME AND ANOTATIONS IN RMA3

Abbreviation Annotation in RMA3 Meaning
M Method marks - for a correct method applied to appropriate numbers.

A Accuracy marks – depend on M marks. Hence M0 A1 is not possible.

Independent of method marks – for a correct final answer, a partially correct answer
B
or a correct intermediate stage.
SC Marks given in special cases only when indicated in mark scheme.

FT Work can be followed through after an error.

isw Ignore subsequent working (after correct answer obtained)

cao Correct answer only

nfww Not from wrong working

oe Or equivalent

soi Seen or implied

eeo Each error or omission

dep Dependent on the previous mark(s)

Benefit of the doubt is given to the candidate

Omission sign

© UCLES 2025 Page 7 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Misread

Transcription error

The M, A and B etc annotations must be used on your standardisation scripts for responses that are not awarded either 0 or full marks.
It is not mandatory to use annotations for any other marking (unless stated in the mark scheme) though you may wish to use them in some circumstances.

ACCURACY

1. If a question asks for a particular level of accuracy then the mark scheme will include specific details.

2. In other cases, the following apply:

● 3 sf correct on the answer line – allow full marks.

● More than 3 sf on the answer line and correct (either rounded or truncated to 4 or more figure accuracy, in range provided) – allow full marks.

● Less than 3 sf on the answer line but correct to 3 or more sf seen in the working – allow full marks even if rounded incorrectly.

● 3 sf incorrect on the answer line but 4 or more correct (in range provided) seen in the working – allow full marks.

● If the third sf is zero after the decimal point (eg 15.0) then allow marks for 2 sf answers.

Example
Suppose a calculator display correctly gives 6.3255532 and the general rubric on the front cover of the paper applies and the mark scheme
applies the usual rules about 3 sf or more.
The mark scheme will specify 6.33 or 6.325 to 6.326.
The following answers on the answer line have been given.
6.3 A0 if no more accurate answer in working; A1 if a correct, 3 sf or more accurate answer in working
6.32 A0 if no more accurate answer in working; A1 if a correct, 3 sf or more accurate answer in working
6.325 A1 (in range)
6.326 A1 (in range)
6.3255 A1 (in range)
3. General principles are:
● 2 sf answers will not imply method in most cases.

● If the final answer on the answer line has clearly been spoiled from the 3sf or more answer seen in the working (e.g further processing, not just
rounding errors) don’t allow the marks.

4. Follow through:

© UCLES 2025 Page 8 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
● If an accuracy FT is available in another part of the question, then give the FT mark for a correct follow through from a value which has lost the
accuracy mark in the first part.
● However a correct value from the first part may have been given the accuracy mark but has then been rounded incorrectly and this has been
condoned. If the wrongly rounded value is used in the new part and leads to an incorrect answer, even if correctly followed through, then this
should not receive the accuracy mark here and should not be treated as a FT case.

Examples
The answer in the mark scheme for (a) is 6.33 or 6.325 to 6.326.
The mark scheme for (b) is their (a) × 25 M1
158 or 158.3 or 158.1 to 158.2 A1FT

Example 1
(a) 6.3 on answer line, no more accurate answer in working A0
(b) 6.3 × 25 = 157.5 M1A1FT (FT as accuracy mark lost in part (a))
Example 2
(a) 6.3 on answer line, 6.33 in working A1
(b) 6.3 × 25 = 157.5 M1A0 (No FT as accuracy mark given in (a) and the wrongly used value has been used in (b))
5. Money
● Exact answer $123.45 $123.5 and $123 on the answer line score A0, unless exact answer seen in working, in which case score A1.

● Exact answer $670.40 $670.4 on the answer line scores A1

● Inexact answer $387.25666… $387.26 or $387.3 or $387 on the answer line score A1
ie correctly rounded to 3 sf or better
6. Exact answers involving π and √
● Exact answer 2.345 π Mark scheme will indicate if answers must be given as integers due to context.
allow A1 for 2.345 π on the answer line
allow A0 for 2.35 π

● Exact answer √ 23 Mark scheme will indicate if answers must be given as integers due to context.
Scores A1 if the question is not set in context and the (prime number) is given on the answer line.

Surd answers which simplify need not be simplified e.g. √ 12 or 2 √3 are acceptable unless the mark scheme
states otherwise.

REPORT

© UCLES 2025 Page 9 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Please send a brief report on the work of your candidates to your Team Leader by e-mail before the final marking date. Your report should cover
candidate responses to questions and any other matters that you wish to draw to the attention of Centres.

General Principles
If final answer in main column, no transcription errors allowed.
Algebraic negative answers – allow transcription error if positive on answer line as long as the negative answer given in the working.

Questio Mark Partial Marks Guidance

Answer
n s
1 39 1
2 5 3.75 3 B2 for 5 in answer space
25 M1 implied by 5.88..
or M1 for
4.25

3(a) 33 1 tolerance 31 to 35
3(b) acute 1 condone unambiguous spelling
4(a) 39 1
4(b) 35 1
4(c) 37 1
4(d) 32 1
4(e) 38 1
5(a) dt oe final answer 1 accept td, d×t, t×d
do not accept an = sign

© UCLES 2025 Page 10 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Questio Mark Partial Marks Guidance
Answer
n s
5(b) p−x + y oe final answer 1 eg accept p−(x− y )
6 −4 2 B1 for 6 seen
or M1 for ( n+10 ) × 5=30 or better
7(a) g 1
7(b) alternate 1 condone unambiguous spelling
condone alternating
do not accept alternative or z angle, but
allow z (angle) as an embellishment.
8(a) subtract 7 oe 1 accept ‘add −7 ’
do not accept n−7
8(b) 3 −4 2 B1 for each
If 0 scored SC1 for two answers with a
difference of −7
8(c) 38−7 n oe final answer 2 B1 for k−7 n or 38−kn , k ≠ 0 or 38−7 n allow correct un-simplified form
seen then spoilt eg 31−(n−1)7 for 2 marks or 1 mark if
spoilt
accept −n 7+38 , n=38−7 n , x for n etc for
2 or 1 mark
9 262 3 3 ×7 × 11 or answer 231 is volume and
scores zero
M2 for [2׿ (3 ×7+3 × 11+7 ×11)
or M1 for 3 ×7 or 3 ×11 or 7 ×11 21, 33 or 77

© UCLES 2025 Page 11 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Questio Mark Partial Marks Guidance
Answer
n s
10(a) 8 5 9 5 B1 for [B=] 5

B1 for [C=] 9

If B0,B0 scored SC1 for B=15 and

C=29

award M2 if they write B and C

M2 for ( for their B and their C
2+ A+11+13+17+20+ 24+26+ (10+ theirB ) + ( 20+theirC ) ¿ ÷ 10 [ ¿ 16.5 ] oe∨better
or M1 for 16.5×10 oe or better

10(b) All the numbers are different oe 1 see AG

11(a)(i) 7.6 2 B1 for 9.5[cm] tolerance for 2 marks 7.44 to 7.76

or M1 for 0.8×k , 9 ≤ k ≤10 tolerance for B1 9.3to 9.7
11(a)(ii) 102 1 tolerance 100 to 104
11(b) 307 2 M1 for 180+127 or 360−(180−127) could be on diagram
or the correct angle is indicated on a
sketch
12 555 4 360−95−80 could be done in stages
M3 for ×45 oe
95−80

95−80 45 1
or M2 for or soi by or 3
45 95−80 3
or M1 for 360−95−80 soi by 185
or 95−80 ≡ 45 oe

© UCLES 2025 Page 12 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Questio Mark Partial Marks Guidance
Answer
n s
13 14 138 3 0.615 M2 implied by 14100 to 14140
M2 for 2000 × M1 implied by 1230
0.087
or M1 for 2000 ×0.615
If 0 or M1 scored SC1 for a decimal
answer seen, correctly rounded to the
nearest integer
14(a) 2 x (4 x−1) final answer 2 B1 for 2 ( 4 x 2−x ) or x ( 8 x−2 ) condone omission of final bracket
or 2 x (4 x−1) seen then spoilt
14(b) 13 m+16 final answer 2 M1 for 10 m−5 or 3m+21
or for 13 m or +16 in the final answer
or for 13 m+16 seen then spoilt
15(a) 42.2 or 42.22… 1
15(b) 28.8 2 8 ×60 ×60
M1 for
1000
or B1 for answer figs 288
16(a) 280 2 480 M1 implied by 40, 80, 120
M1 for × k , k =¿ 1,2,3 or 7
2+ 3+7

16(b)(i) 2:3 cao 1

16(b)(ii) 1:4 cao 1
17(a) 54 1
17(b) −2 1
17(c) a
2
2 −5
2 B1 for a 2 b k or a k b−5 as final answer
5 or a b final answer or for correct answer spoilt
b
18(a) 15 120 3 B2 for 15100, 15110 or 15116 to 15117
OR
3
8
M1 for 12000 ×(1+ ) M1 is not spoilt if they subtract the principal
100
B1 for rounding their seen answer correct
to the nearest 10

© UCLES 2025 Page 13 of 15

 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Questio Mark Partial Marks Guidance
Answer
n s
18(b) 12.5 2 630−560 soi by 0.125
M1 for [×100] oe
560
soi by 112.5
630
or ×100 [−100] oe
560
soi by 0.125

or ( 630
560
−1 )[× 100]

19(a) 4
3 ×5
2 2 B1 for 3,3,3,3,5,5 eg 3 ×3 ×3 × 3× 5 ×5
or M1 for correct factor or 3 ×32 ×3 ×5 2 score 2 marks
tree/diagram/list/table
allow B1 or M1 for inclusion of 1 with
correct factors
19(b) 25×81 or 225×9 1 condone 52 ×92 or 152 ×32
20(a) triangle with coordinates 2 B1 for correct 90˚ anticlockwise rotation
( 0 , 1 ) ( 0 ,3 ) (1 ,1) about (0,3)
or correct orientation, wrong centre

( )
20(b)(i) 2 2 B1 for each More than one transformation scores 0
translation Treat extra properties as choice
−1
accept 2 right 1 down.
20(b)(ii) enlargement 3 B1 for each More than one transformation scores 0
centre (5,3) Treat extra properties as choice

( 53 )
scale factor 2
Accept 5, 3 or position vector

20(c) 26.6 or 26.56 to 25.57 2 M1 for tan¿ oe Accept complete longer equivalent
methods eg using Pythagoras and cosine
or sine.
21(a) 360 1 could be done in stages
(5−2)×180 or (180− )× 5
5
© UCLES 2025 Page 14 of 15
 0580/32 IGCSE Mathematics – Mark Scheme February/March
PRE-STANDARDISATION 2025
Questio Mark Partial Marks Guidance
Answer
n s
21(b)(i) 10 x+ 45 or 5 ( 2 x + 9 ) final answer 2 B1 for 10 x+ c or kx + 45 if written = 540 then maximum one mark
or correct answer seen then spoilt
21(b)(ii) 49.5 2 M1 for their ( b )( i )=540 and a first correct 10 x=495
step to solve their equation provided in
the form ax +b=540 or c ( dx +e )=540

© UCLES 2025 Page 15 of 15