Please write clearly in block capitals.
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Discrete
Friday 15 May 2026 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
2
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 3
1 hour 30 minutes to complete both papers.
4
Instructions 5
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. 6
l Answer all questions. 7
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 8
of this book. Write the question number against your answer(s).
TOTAL
l Do not write outside the box around each page or on blank pages.
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 40.
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.
, 2
Do not write
outside the
There are no questions printed on this page box
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
, 3
Do not write
outside the
Answer all questions in the spaces provided. box
1 A graph G contains a Hamiltonian cycle.
One of the following statements is always true.
Identify the correct statement.
Tick (ü) one box.
[1 mark]
Every vertex in G has an even degree.
Every vertex in G has the same degree.
G contains a cycle which uses every edge.
G contains a cycle which uses every vertex.
Turn over for the next question
, 4
Do not write
outside the
2 The graph H is shown in Figure 1 box
Figure 1
B C
A D
F E
2 (a) Identify which one of the following options describes H
Circle your answer.
[1 mark]
Eulerian graph Tree Bipartite graph Complete graph
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Discrete
Friday 15 May 2026 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
2
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 3
1 hour 30 minutes to complete both papers.
4
Instructions 5
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. 6
l Answer all questions. 7
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 8
of this book. Write the question number against your answer(s).
TOTAL
l Do not write outside the box around each page or on blank pages.
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 40.
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.
, 2
Do not write
outside the
There are no questions printed on this page box
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
, 3
Do not write
outside the
Answer all questions in the spaces provided. box
1 A graph G contains a Hamiltonian cycle.
One of the following statements is always true.
Identify the correct statement.
Tick (ü) one box.
[1 mark]
Every vertex in G has an even degree.
Every vertex in G has the same degree.
G contains a cycle which uses every edge.
G contains a cycle which uses every vertex.
Turn over for the next question
, 4
Do not write
outside the
2 The graph H is shown in Figure 1 box
Figure 1
B C
A D
F E
2 (a) Identify which one of the following options describes H
Circle your answer.
[1 mark]
Eulerian graph Tree Bipartite graph Complete graph
