Exam (elaborations)
AQA A-LEVEL FURTHER MATHEMATICS PAPER 3 DISCRETE QP JUNE 2024
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AQA A-LEVEL FURTHER MATHEMATICSPAPER 3 DISCRETE QP JUNE 2024
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AQA A-LEVEL FURTHER MATHEMATICSPAPER 3DISCRETE QP JUNE 2024
, 1
Do not write
outside the
box
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
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G/Jun24/7367/3D
, 2
Do not write
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You must have the AQA Formulae and statistical tables booklet for A-level For Examiner’s Use
Mathematics and A-level Further Mathematics. l You should have a graphical or
Question Mark
scientific calculator that meets the requirements of the specification.
You must ensure you have the other optional Question Paper/Answer Book for which 1
you are entered (either Mechanics or Statistics). You will have 2 hours to complete
both papers. 2
Instructions l Use black ink or black ball-point pen. Pencil should only be used for 3
drawing. l Fill in the boxes at the top of this page. l Answer all questions.
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 4
question number against your answer(s). l Do not write outside the box around each
page or on blank pages. l Show all necessary working; otherwise marks for method may 5
be lost. l Do all rough work in this book. Cross through any work that you do not want
to be marked. 6
Information l The marks for questions are shown in brackets. l The maximum mark for 7
this paper is 50.
8
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet. l You
9
do not necessarily need to use all the space provided.
10
TOTAL
(JUN2473673D01) G/LM/Jun24/G4006/V9 7367/3D
Answer all questions in the spaces provided.
G/Jun24/7367/3D
, 3
Do not write
outside the
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
Turn over U
G/Jun24/7367/3D
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