Please write clearly in block capitals.
Centre number Candidate number
Surname __________________________________________________________________________
A-level
Forename(s) __________________________________________________________________________ FURTHER MATHEMATICS
Candidate signature __________________________________________________________________________
I declare this is my own work. 7367/3D
Paper 3 Discrete
A-level Mark scheme
FURTHER MATHEMATICS June 2026
Paper 3 Discrete Version: 1.0 Final
Friday 12 June 2026 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the Formulae and statistical tables booklet for
A‑level Mathematic A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
l You must ensure you have the other optional Question Paper/Answer Book
for which you are entered (either Mechanics or Statistics). You will have
2 hours to complete both papers.
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
l You must answer each question in the space provided for that question.
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages. TOTAL
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN2673673D01)
G/LM/Jun26/G4008/V5 7367/3D
, 2
MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D – JUNE 2026
Do not write
outside the
There are no questions printed on this page box
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
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
information
retains the on all its publications. However, registered schools/colleges for are permitted to copy material from this booklet for their own internal
use, with the following important exception: cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third party even for
internal use within the centre.
and its licensors. All rights reserved.
(02)
2
G/Jun26/7367/3D
, 3
MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D – JUNE 2026
Do not write
outside the
Answer all questions in the spaces provided. box
Mark scheme instructions to examiners
1 A salesperson needs to visit four cities: A, B, C and D
General
The cost, in £, of travelling between each pair of cities is shown in Table 1
The mark scheme for each question shows:
• the marks available for each part of the question
Table 1
• the total marks available for the question
• marking instructions that indicate when marks should be awarded or withheld including the principle
A B C D 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 – 25 15 18 • a typical solution. This response is one we expect to see frequently. However credit must be given on
the basis of the marking instructions.
B 25 – 18 20
If a student uses a method which is not explicitly covered by the marking instructions the same
C 15 18 – 22 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.
D 18 20 22 –
Key to mark types
The salesperson wants to determine a lower bound for the total cost of visiting all four M mark is for method
cities, starting and finishing in city A, by using the lower bound algorithm. R mark is for reasoning
They begin by deleting A from Table 1 A mark is dependent on M marks and is for accuracy
B mark is independent of M marks and is for method and accuracy
They correctly find that the total weight of the minimum spanning tree of the network E mark is for explanation
only involving B, C and D is £38
F follow through from previous incorrect result
They then correctly complete the lower bound algorithm and find this lower bound
to be £ L Key to mark scheme abbreviations
Determine the value of L CAO correct answer only
CSO correct solution only
Circle your answer.
ft follow through from previous incorrect result
[1 mark]
‘their’ indicates that credit can be given from previous incorrect result
53 71 81 96 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
Turn over U
(03)
3
G/Jun26/7367/3D
Centre number Candidate number
Surname __________________________________________________________________________
A-level
Forename(s) __________________________________________________________________________ FURTHER MATHEMATICS
Candidate signature __________________________________________________________________________
I declare this is my own work. 7367/3D
Paper 3 Discrete
A-level Mark scheme
FURTHER MATHEMATICS June 2026
Paper 3 Discrete Version: 1.0 Final
Friday 12 June 2026 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the Formulae and statistical tables booklet for
A‑level Mathematic A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
l You must ensure you have the other optional Question Paper/Answer Book
for which you are entered (either Mechanics or Statistics). You will have
2 hours to complete both papers.
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
l You must answer each question in the space provided for that question.
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages. TOTAL
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN2673673D01)
G/LM/Jun26/G4008/V5 7367/3D
, 2
MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D – JUNE 2026
Do not write
outside the
There are no questions printed on this page box
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
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
information
retains the on all its publications. However, registered schools/colleges for are permitted to copy material from this booklet for their own internal
use, with the following important exception: cannot give permission to schools/colleges to photocopy any material that is acknowledged to a third party even for
internal use within the centre.
and its licensors. All rights reserved.
(02)
2
G/Jun26/7367/3D
, 3
MARK SCHEME – A-LEVEL FURTHER MATHEMATICS – 7367/3D – JUNE 2026
Do not write
outside the
Answer all questions in the spaces provided. box
Mark scheme instructions to examiners
1 A salesperson needs to visit four cities: A, B, C and D
General
The cost, in £, of travelling between each pair of cities is shown in Table 1
The mark scheme for each question shows:
• the marks available for each part of the question
Table 1
• the total marks available for the question
• marking instructions that indicate when marks should be awarded or withheld including the principle
A B C D 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 – 25 15 18 • a typical solution. This response is one we expect to see frequently. However credit must be given on
the basis of the marking instructions.
B 25 – 18 20
If a student uses a method which is not explicitly covered by the marking instructions the same
C 15 18 – 22 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.
D 18 20 22 –
Key to mark types
The salesperson wants to determine a lower bound for the total cost of visiting all four M mark is for method
cities, starting and finishing in city A, by using the lower bound algorithm. R mark is for reasoning
They begin by deleting A from Table 1 A mark is dependent on M marks and is for accuracy
B mark is independent of M marks and is for method and accuracy
They correctly find that the total weight of the minimum spanning tree of the network E mark is for explanation
only involving B, C and D is £38
F follow through from previous incorrect result
They then correctly complete the lower bound algorithm and find this lower bound
to be £ L Key to mark scheme abbreviations
Determine the value of L CAO correct answer only
CSO correct solution only
Circle your answer.
ft follow through from previous incorrect result
[1 mark]
‘their’ indicates that credit can be given from previous incorrect result
53 71 81 96 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
Turn over U
(03)
3
G/Jun26/7367/3D
