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AQA-7367-3D-FURTHER MATHEMATICS QUESTION PAPER 3D;Discrete-A LEVEL-7Jun24-PM CA$18.87   Add to cart

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AQA-7367-3D-FURTHER MATHEMATICS QUESTION PAPER 3D;Discrete-A LEVEL-7Jun24-PM

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AQA-7367-3D-FURTHER MATHEMATICS QUESTION PAPER 3D;Discrete-A LEVEL-7Jun24-PM. 2 Do not write outside the box (02) G/Jun24/7367/3D Answer all questions in the spaces provided. 1 Which one of the following sets forms a group under the given binary operation? Tick () one box. [1 mark] ...

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  • October 29, 2024
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000001




AQA
AQA



Please write clearly in block capitals.


Centre number Candidate number


Surname _________________________________________________________________________




S
Forename(s) _________________________________________________________________________




C
Candidate signature _________________________________________________________________________
I declare this is my own work.




TI
A-level



A
EM
FURTHER MATHEMATICS
Paper 3 Discrete
TH
Friday 7 June 2024 Afternoon Time allowed: 2 hours
A

Materials
l You must have the AQA Formulae and statistical tables booklet for For Examiner’s Use
M


A-level Mathematics and A-level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question Paper/Answer Book
ER




for which you are entered (either Mechanics or Statistics). You will have 2
2 hours to complete both papers.
3
Instructions 4
TH




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.
5
l Answer all questions.
l You must answer each question in the space provided for that question. 6
If you require extra space for your answer(s), use the lined pages at the end
R




of this book. Write the question number against your answer(s). 7
l Do not write outside the box around each page or on blank pages.
FU




l Show all necessary working; otherwise marks for method may be lost. 8
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 9

Information 10
l The marks for questions are shown in brackets.
TOTAL
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.




G/LM/Jun24/G4006/V9 7367/3D
Page 1 of 24

,000002

2
Do not write
outside the
box
Answer all questions in the spaces provided.



1 Which one of the following sets forms a group under the given binary operation?
Tick () one box.
[1 mark]


Set Binary Operation




S
{1, 2, 3} Addition modulo 4




C
{1, 2, 3} Multiplication modulo 4




TI
{0, 1, 2, 3} Addition modulo 4




A
{0, 1, 2, 3} Multiplication modulo 4



2
EM
A student is trying to find the solution to the travelling salesperson problem for
a network.
TH
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
A

Based on the above information only, which of the following pairs give the best lower
M


bound and best upper bound for the solution of this problem?
Tick () one box.
ER




[1 mark]


Best Lower Bound Best Upper Bound
TH




15 48
R




15 51
FU




19 48

19 51




(02)
G/Jun24/7367/3D
Page 2 of 24

, 000003

3
Do not write
outside the
box
3 The simple-connected graph G has the adjacency matrix


A B C D

A 0 1 1 1

B 1 0 1 0

C 1 1 0 1




S
D 1 0 1 0




C
Which one of the following statements about G is true?




TI
Tick () one box.
[1 mark]




A
G is a tree


G is complete
EM
TH
G is Eulerian
A

G is planar
M
ER




Turn over for the next question
TH
R
FU




Turn over U


(03)
G/Jun24/7367/3D
Page 3 of 24

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