Mathematics paper3
Please write clearly in block capitals.
Centre number Candidate number
Surname Forename(s)
Candidate signature
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Discrete
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
You must have the AQA Formulae and statistical tables For Examiner’s Use
booklet for A-level Mathematics and A-level Further Questio Mark
Mathematics. n
You should have a graphical or scientific calculator that
1
meets the requirements of the specification.
You must ensure you have the other optional Question 2
Paper/Answer Book for which you are entered (either Mechanics or
Statistics). You will have 3
2 hours to complete both papers.
4
Instructions
5
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page.
6
Answer all questions.
You must answer each question in the space provided for that question.
7
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 8
answer(s).
Do not write outside the box around each page or on blank pages. 9
Show all necessary working; otherwise marks for method may be lost.
Do all rough work in this book. Cross through any work that you do 10
not want to be marked. TOTAL
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 50.
Mathematics paper3
,Mathematics paper3
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
(JUN2473673D01)
G/LM/Jun24/G4006/V9 7367/3D
Mathematics paper3
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Which one of the following sets forms a group under the given binary
operation? Tick () one box.
[1 mark]
Set Binary Operation
{1, 2, 3} Addition modulo 4
{1, 2, 3} Multiplication
modulo 4
{0, 1, 2, 3} Addition modulo 4
{0, 1, 2, 3} Multiplication
modulo 4
2 A student is trying to find the solution to the travelling salesperson
problem for a network.
They correctly find two lower bounds for the solution: 15
and 19 They also correctly find two upper bounds for the
solution: 48 and 51
Based on the above information only, which of the following pairs give the
best lower bound and best upper bound for the solution of this problem?
Tick () one box.
[1 mark]
Best Lower Bound Best Upper Bound
15 48
15 51
19 48
19 51
(02
) G/
Jun24/7367/3D
Please write clearly in block capitals.
Centre number Candidate number
Surname Forename(s)
Candidate signature
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Discrete
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
You must have the AQA Formulae and statistical tables For Examiner’s Use
booklet for A-level Mathematics and A-level Further Questio Mark
Mathematics. n
You should have a graphical or scientific calculator that
1
meets the requirements of the specification.
You must ensure you have the other optional Question 2
Paper/Answer Book for which you are entered (either Mechanics or
Statistics). You will have 3
2 hours to complete both papers.
4
Instructions
5
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page.
6
Answer all questions.
You must answer each question in the space provided for that question.
7
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 8
answer(s).
Do not write outside the box around each page or on blank pages. 9
Show all necessary working; otherwise marks for method may be lost.
Do all rough work in this book. Cross through any work that you do 10
not want to be marked. TOTAL
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 50.
Mathematics paper3
,Mathematics paper3
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
(JUN2473673D01)
G/LM/Jun24/G4006/V9 7367/3D
Mathematics paper3
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Which one of the following sets forms a group under the given binary
operation? Tick () one box.
[1 mark]
Set Binary Operation
{1, 2, 3} Addition modulo 4
{1, 2, 3} Multiplication
modulo 4
{0, 1, 2, 3} Addition modulo 4
{0, 1, 2, 3} Multiplication
modulo 4
2 A student is trying to find the solution to the travelling salesperson
problem for a network.
They correctly find two lower bounds for the solution: 15
and 19 They also correctly find two upper bounds for the
solution: 48 and 51
Based on the above information only, which of the following pairs give the
best lower bound and best upper bound for the solution of this problem?
Tick () one box.
[1 mark]
Best Lower Bound Best Upper Bound
15 48
15 51
19 48
19 51
(02
) G/
Jun24/7367/3D
