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A-level FURTHER MATHEMATICS Paper 3 Discrete

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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 A-level Mathematics and A-level Further Mathematics.  You should have a graphical or scientific calculator that ...

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  • September 9, 2024
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Mathematics paper3




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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

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