000001
AQA AQA
Please write clearly in block capitals.
Centre number Candidate number
S
Surname _________________________________________________________________________
C
Forename(s) _________________________________________________________________________
TI
Candidate signature _________________________________________________________________________
I declare this is my own work.
A
AS
EM
FURTHER MATHEMATICS
Paper 2 Discrete
TH
Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes
A
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.
M
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
ER
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
TH
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). 9
l Do not write outside the box around each page or on blank pages.
R
l Show all necessary working; otherwise marks for method may be lost. 10
l Do all rough work in this book. Cross through any work that you do not want
TOTAL
FU
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.
G/LM/Jun24/G4001/V4 7366/2D
Page 1 of 16
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 A connected planar graph has v vertices, e edges and f faces.
Which one of the formulae below is correct?
Circle your answer.
S
[1 mark]
C
v+e+f=2 v–e+f=2 v–e–f=2 v+e–f=2
TI
A
EM
TH
2 Find an expression for the number of edges in the complete bipartite graph, K m, n
Circle your answer.
A
[1 mark]
m
M
n m–n m+n mn
ER
TH
R
FU
(02)
G/Jun24/7366/2D
Page 2 of 16
, 000003
3
Do not write
outside the
box
3 Which one of the graphs shown below is semi‑Eulerian?
Tick () one box.
[1 mark]
S
C
TI
A
EM
TH
A
M
ER
TH
R
FU
Turn over U
(03)
G/Jun24/7366/2D
Page 3 of 16
AQA AQA
Please write clearly in block capitals.
Centre number Candidate number
S
Surname _________________________________________________________________________
C
Forename(s) _________________________________________________________________________
TI
Candidate signature _________________________________________________________________________
I declare this is my own work.
A
AS
EM
FURTHER MATHEMATICS
Paper 2 Discrete
TH
Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes
A
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.
M
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
ER
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
TH
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). 9
l Do not write outside the box around each page or on blank pages.
R
l Show all necessary working; otherwise marks for method may be lost. 10
l Do all rough work in this book. Cross through any work that you do not want
TOTAL
FU
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.
G/LM/Jun24/G4001/V4 7366/2D
Page 1 of 16
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 A connected planar graph has v vertices, e edges and f faces.
Which one of the formulae below is correct?
Circle your answer.
S
[1 mark]
C
v+e+f=2 v–e+f=2 v–e–f=2 v+e–f=2
TI
A
EM
TH
2 Find an expression for the number of edges in the complete bipartite graph, K m, n
Circle your answer.
A
[1 mark]
m
M
n m–n m+n mn
ER
TH
R
FU
(02)
G/Jun24/7366/2D
Page 2 of 16
, 000003
3
Do not write
outside the
box
3 Which one of the graphs shown below is semi‑Eulerian?
Tick () one box.
[1 mark]
S
C
TI
A
EM
TH
A
M
ER
TH
R
FU
Turn over U
(03)
G/Jun24/7366/2D
Page 3 of 16
