Level 2 Certificate
FURTHER MATHEMATICS
8365/1
Paper 1 Non-Calculator
Mark scheme
June 2025
Version: 1.0 Final
256G8365/1/MS
, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8365/1 – JUNE 2025
Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant
questions, by a panel of subject teachers. This mark scheme includes any amendments made at the
standardisation events which all associates participate in and is the scheme which was used by them in
this examination. The standardisation process ensures that the mark scheme covers the students’
responses to questions and that every associate understands and applies it in the same correct way.
As preparation for standardisation each associate analyses a number of students’ scripts. Alternative
answers not already covered by the mark scheme are discussed and legislated for. If, after the
standardisation process, associates encounter unusual answers which have not been raised they are
required to refer these to the Lead Examiner.
It must be stressed that a mark scheme is a working document, in many cases further developed and
expanded on the basis of students’ reactions to a particular paper. Assumptions about future mark
schemes on the basis of one year’s document should be avoided; whilst the guiding principles of
assessment remain constant, details will change, depending on the content of a particular examination
paper.
No student should be disadvantaged on the basis of their gender identity and/or how they refer to the
gender identity of others in their exam responses.
A consistent use of ‘they/them’ as a singular and pronouns beyond ‘she/her’ or ‘he/him’ will be credited in
exam responses in line with existing mark scheme criteria.
Further copies of this mark scheme are available from aqa.org.uk
Copyright information
AQA retains the copyright on all its publications. However, registered schools/colleges for AQA are permitted to copy material from this booklet for their own
internal use, with the following important exception: AQA cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third
party even for internal use within the centre.
Copyright © 2025 AQA and its licensors. All rights reserved.
2
, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8365/1 – JUNE 2025
Glossary for Mark Schemes
GCSE examinations are marked in such a way as to award positive achievement wherever possible.
Thus, for GCSE Mathematics papers, marks are awarded under various categories.
If a student uses a method which is not explicitly covered by the mark scheme the same principles of
marking should be applied. Credit should be given to any valid methods. Examiners should seek advice
from their senior examiner if in any doubt.
M Method marks are awarded for a correct method which could lead to a correct
answer.
M dep A method mark dependent on a previous method mark being awarded.
A Accuracy marks are awarded when following on from a correct method. It is not
necessary to always see the method. This can be implied.
B Marks awarded independent of method.
B dep A mark that can only be awarded if a previous independent mark has been awarded.
ft Follow through marks. Marks awarded following a mistake in an earlier step.
SC Special case. Marks awarded within the scheme for a common misinterpretation
which has some mathematical worth.
oe Or equivalent. Accept answers that are equivalent.
1
eg accept 0.5 as well as
2
[a, b] Accept values between a and b inclusive.
3.14… Accept answers which begin 3.14 eg 3.14, 3.142, 3.1416
3
, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8365/1 – JUNE 2025
Examiners should consistently apply the following principles.
Diagrams
Diagrams that have working on them should be treated like normal responses. If a diagram has been
written on but the correct response is within the answer space, the work within the answer space should
be marked. Working on diagrams that contradicts work within the answer space is not to be considered
as choice but as working, and is not, therefore, penalised.
Responses which appear to come from incorrect methods
Whenever there is doubt as to whether a candidate has used an incorrect method to obtain an answer,
as a general principle, the benefit of doubt must be given to the candidate. In cases where there is no
doubt that the answer has come from incorrect working then the candidate should be penalised.
Questions which ask candidates to show working
Instructions on marking will be given but usually marks are not awarded to candidates who show no
working.
Questions which do not ask candidates to show working
As a general principle, a correct response is awarded full marks.
Misread or miscopy
Candidates often copy values from a question incorrectly. If the examiner thinks that the candidate has
made a genuine misread, then only the accuracy marks (A or B marks), up to a maximum of 2 marks are
penalised. The method marks can still be awarded.
Further work
Once the correct answer has been seen, further working may be ignored unless it goes on to contradict
the correct answer.
Choice
When a choice of answers and/or methods is given, mark each attempt. If both methods are valid then
M marks can be awarded but any incorrect answer or method would result in marks being lost.
Work not replaced
Erased or crossed out work that is still legible should be marked.
Work replaced
Erased or crossed out work that has been replaced is not awarded marks.
Premature approximation
Rounding off too early can lead to inaccuracy in the final answer. This should be penalised by 1 mark
unless instructed otherwise.
Continental notation
Accept a comma used instead of a decimal point (for example, in measurements or currency), provided
that it is clear to the examiner that the candidate intended it to be a decimal point.
4
FURTHER MATHEMATICS
8365/1
Paper 1 Non-Calculator
Mark scheme
June 2025
Version: 1.0 Final
256G8365/1/MS
, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8365/1 – JUNE 2025
Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant
questions, by a panel of subject teachers. This mark scheme includes any amendments made at the
standardisation events which all associates participate in and is the scheme which was used by them in
this examination. The standardisation process ensures that the mark scheme covers the students’
responses to questions and that every associate understands and applies it in the same correct way.
As preparation for standardisation each associate analyses a number of students’ scripts. Alternative
answers not already covered by the mark scheme are discussed and legislated for. If, after the
standardisation process, associates encounter unusual answers which have not been raised they are
required to refer these to the Lead Examiner.
It must be stressed that a mark scheme is a working document, in many cases further developed and
expanded on the basis of students’ reactions to a particular paper. Assumptions about future mark
schemes on the basis of one year’s document should be avoided; whilst the guiding principles of
assessment remain constant, details will change, depending on the content of a particular examination
paper.
No student should be disadvantaged on the basis of their gender identity and/or how they refer to the
gender identity of others in their exam responses.
A consistent use of ‘they/them’ as a singular and pronouns beyond ‘she/her’ or ‘he/him’ will be credited in
exam responses in line with existing mark scheme criteria.
Further copies of this mark scheme are available from aqa.org.uk
Copyright information
AQA retains the copyright on all its publications. However, registered schools/colleges for AQA are permitted to copy material from this booklet for their own
internal use, with the following important exception: AQA cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third
party even for internal use within the centre.
Copyright © 2025 AQA and its licensors. All rights reserved.
2
, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8365/1 – JUNE 2025
Glossary for Mark Schemes
GCSE examinations are marked in such a way as to award positive achievement wherever possible.
Thus, for GCSE Mathematics papers, marks are awarded under various categories.
If a student uses a method which is not explicitly covered by the mark scheme the same principles of
marking should be applied. Credit should be given to any valid methods. Examiners should seek advice
from their senior examiner if in any doubt.
M Method marks are awarded for a correct method which could lead to a correct
answer.
M dep A method mark dependent on a previous method mark being awarded.
A Accuracy marks are awarded when following on from a correct method. It is not
necessary to always see the method. This can be implied.
B Marks awarded independent of method.
B dep A mark that can only be awarded if a previous independent mark has been awarded.
ft Follow through marks. Marks awarded following a mistake in an earlier step.
SC Special case. Marks awarded within the scheme for a common misinterpretation
which has some mathematical worth.
oe Or equivalent. Accept answers that are equivalent.
1
eg accept 0.5 as well as
2
[a, b] Accept values between a and b inclusive.
3.14… Accept answers which begin 3.14 eg 3.14, 3.142, 3.1416
3
, MARK SCHEME – LEVEL 2 CERTIFICATE FURTHER MATHEMATICS – 8365/1 – JUNE 2025
Examiners should consistently apply the following principles.
Diagrams
Diagrams that have working on them should be treated like normal responses. If a diagram has been
written on but the correct response is within the answer space, the work within the answer space should
be marked. Working on diagrams that contradicts work within the answer space is not to be considered
as choice but as working, and is not, therefore, penalised.
Responses which appear to come from incorrect methods
Whenever there is doubt as to whether a candidate has used an incorrect method to obtain an answer,
as a general principle, the benefit of doubt must be given to the candidate. In cases where there is no
doubt that the answer has come from incorrect working then the candidate should be penalised.
Questions which ask candidates to show working
Instructions on marking will be given but usually marks are not awarded to candidates who show no
working.
Questions which do not ask candidates to show working
As a general principle, a correct response is awarded full marks.
Misread or miscopy
Candidates often copy values from a question incorrectly. If the examiner thinks that the candidate has
made a genuine misread, then only the accuracy marks (A or B marks), up to a maximum of 2 marks are
penalised. The method marks can still be awarded.
Further work
Once the correct answer has been seen, further working may be ignored unless it goes on to contradict
the correct answer.
Choice
When a choice of answers and/or methods is given, mark each attempt. If both methods are valid then
M marks can be awarded but any incorrect answer or method would result in marks being lost.
Work not replaced
Erased or crossed out work that is still legible should be marked.
Work replaced
Erased or crossed out work that has been replaced is not awarded marks.
Premature approximation
Rounding off too early can lead to inaccuracy in the final answer. This should be penalised by 1 mark
unless instructed otherwise.
Continental notation
Accept a comma used instead of a decimal point (for example, in measurements or currency), provided
that it is clear to the examiner that the candidate intended it to be a decimal point.
4
