MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D –
JUNE 2023
AQA
A-level
FURTHER MATHEMATICS
7367/3D
Paper 3 Discrete
Mark scheme
June 2023
2
, MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D –
JUNE 2023
Mark scheme instructions to examiners
General
The mark scheme for each question shows:
the marks available for each part of the question
the total marks available for the question
marking instructions that indicate when marks should be awarded or withheld including the
principle on which each mark is awarded. Information is included to help the examiner make his
or her judgement and to delineate what is creditworthy from that not worthy of credit
a typical solution. This response is one we expect to see frequently. However credit must be
given on the basis of the marking instructions.
If a student uses a method which is not explicitly covered by the marking instructions 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.
Key to mark types
M mark is for method
R mark is for reasoning
A mark is dependent on M marks and is for accuracy
B mark is independent of M marks and is for method and accuracy
E mark is for explanation
F follow through from previous incorrect result
Key to mark scheme abbreviations
CAO correct answer only
CSO correct solution only
ft follow through from previous incorrect result
‘their’ indicates that credit can be given from previous incorrect result
AWFW anything which falls within
AWRT anything which rounds to
ACF any correct form
AG answer given
SC special case
OE or equivalent
NMS no method shown
PI possibly implied
sf significant figure(s)
dp decimal place(s)
ISW Ignore Subsequent Workings
3
, MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D –
JUNE 2023
Examiners should consistently apply the following general marking principles:
No Method Shown
Where the question specifically requires a particular method to be used, we must usually see
evidence of use of this method for any marks to be awarded.
Where the answer can be reasonably obtained without showing working and it is very unlikely that
the correct answer can be obtained by using an incorrect method, we must award full marks.
However, the obvious penalty to candidates showing no working is that incorrect answers, however
close, earn no marks.
Where a question asks the candidate to state or write down a result, no method need be shown for
full marks.
Where the permitted calculator has functions which reasonably allow the solution of the question
directly, the correct answer without working earns full marks, unless it is given to less than the
degree of accuracy accepted in the mark scheme, when it gains no marks.
Otherwise we require evidence of a correct method for any marks to be awarded.
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.
Work erased or crossed out
Erased or crossed out work that is still legible and has not been replaced should be marked.
Erased or crossed out work that has been replaced can be ignored.
Choice
When a choice of answers and/or methods is given and the student has not clearly indicated
which answer they want to be marked, mark positively, awarding marks for all of the student's best
attempts. Withhold marks for final accuracy and conclusions if there are conflicting complete
answers or when an incorrect solution (or part thereof) is referred to in the final answer.
4
JUNE 2023
AQA
A-level
FURTHER MATHEMATICS
7367/3D
Paper 3 Discrete
Mark scheme
June 2023
2
, MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D –
JUNE 2023
Mark scheme instructions to examiners
General
The mark scheme for each question shows:
the marks available for each part of the question
the total marks available for the question
marking instructions that indicate when marks should be awarded or withheld including the
principle on which each mark is awarded. Information is included to help the examiner make his
or her judgement and to delineate what is creditworthy from that not worthy of credit
a typical solution. This response is one we expect to see frequently. However credit must be
given on the basis of the marking instructions.
If a student uses a method which is not explicitly covered by the marking instructions 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.
Key to mark types
M mark is for method
R mark is for reasoning
A mark is dependent on M marks and is for accuracy
B mark is independent of M marks and is for method and accuracy
E mark is for explanation
F follow through from previous incorrect result
Key to mark scheme abbreviations
CAO correct answer only
CSO correct solution only
ft follow through from previous incorrect result
‘their’ indicates that credit can be given from previous incorrect result
AWFW anything which falls within
AWRT anything which rounds to
ACF any correct form
AG answer given
SC special case
OE or equivalent
NMS no method shown
PI possibly implied
sf significant figure(s)
dp decimal place(s)
ISW Ignore Subsequent Workings
3
, MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D –
JUNE 2023
Examiners should consistently apply the following general marking principles:
No Method Shown
Where the question specifically requires a particular method to be used, we must usually see
evidence of use of this method for any marks to be awarded.
Where the answer can be reasonably obtained without showing working and it is very unlikely that
the correct answer can be obtained by using an incorrect method, we must award full marks.
However, the obvious penalty to candidates showing no working is that incorrect answers, however
close, earn no marks.
Where a question asks the candidate to state or write down a result, no method need be shown for
full marks.
Where the permitted calculator has functions which reasonably allow the solution of the question
directly, the correct answer without working earns full marks, unless it is given to less than the
degree of accuracy accepted in the mark scheme, when it gains no marks.
Otherwise we require evidence of a correct method for any marks to be awarded.
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.
Work erased or crossed out
Erased or crossed out work that is still legible and has not been replaced should be marked.
Erased or crossed out work that has been replaced can be ignored.
Choice
When a choice of answers and/or methods is given and the student has not clearly indicated
which answer they want to be marked, mark positively, awarding marks for all of the student's best
attempts. Withhold marks for final accuracy and conclusions if there are conflicting complete
answers or when an incorrect solution (or part thereof) is referred to in the final answer.
4
