Exam (elaborations)
AQA A-level FURTHER MATHEMATICS Paper 3 Discrete June 2024
AQA A-level FURTHER MATHEMATICS Paper 3 Discrete June 2024
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AQAPlease 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 booklet for For Examiner’s Use
A-level Mathematics and A-level Further Mathematics. Question Mark
You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
You must ensure you have the other optional Question Paper/Answer Book
2
for which you are entered (either Mechanics or Statistics). You will have
2 hours to complete both papers. 3
Instructions 4
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. 5
Answer all questions.
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
of this book. Write the question number against your answer(s). 7
Do not write outside the box around each page or on blank pages.
8
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 not want 9
to be marked.
10
Information
The marks for questions are shown in brackets. TOTAL
The maximum mark for this paper is 50.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
,7367/3D
, 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
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