AQA A-level FURTHER MATHEMATICS Paper 3 Discrete QP 2021
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
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for A‑level
Mathematics and A‑level Further Mathematics. Question Mark
l You should have a scientific calculator that meets the requirements of the
specification. (You may use a graphical calculator.) 1
l 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
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
l Answer all questions. 6
l 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 answer(s). TOTAL
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work you do not want to
be marked.
Information
l The marks for questions are shown in brackets.
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.
(JUN2173673D01)
PB/Jun21/E6 7367/3D
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Which of the following statements about critical path analysis is always true?
Tick (3) one box.
[1 mark]
All activity networks have exactly one critical path.
All critical activities have a non-zero float.
The first activity in a critical path has an earliest start time of zero.
A delay on a critical activity may not delay the project.
(02)
Jun21/7367/3D
, 3
Do not write
outside the
2 The network below represents a system of pipes. box
The numbers on each arc represent the lower and upper capacity for each pipe.
B 0,10 E 2,15
G
1,8 4,9 3,9 0,16
3,7 D
A H
2,14
4,19 2,11 7,7 4,10
I
C 1,18 F 3,11
Find the value of the cut {A, B, C, D, E } {F, G, H, I }.
Circle your answer.
[1 mark]
56 58 63 70
Turn over for the next question
Turn over
s
(03)
Jun21/7367/3D
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
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for A‑level
Mathematics and A‑level Further Mathematics. Question Mark
l You should have a scientific calculator that meets the requirements of the
specification. (You may use a graphical calculator.) 1
l 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
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
l Answer all questions. 6
l 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 answer(s). TOTAL
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work you do not want to
be marked.
Information
l The marks for questions are shown in brackets.
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.
(JUN2173673D01)
PB/Jun21/E6 7367/3D
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Which of the following statements about critical path analysis is always true?
Tick (3) one box.
[1 mark]
All activity networks have exactly one critical path.
All critical activities have a non-zero float.
The first activity in a critical path has an earliest start time of zero.
A delay on a critical activity may not delay the project.
(02)
Jun21/7367/3D
, 3
Do not write
outside the
2 The network below represents a system of pipes. box
The numbers on each arc represent the lower and upper capacity for each pipe.
B 0,10 E 2,15
G
1,8 4,9 3,9 0,16
3,7 D
A H
2,14
4,19 2,11 7,7 4,10
I
C 1,18 F 3,11
Find the value of the cut {A, B, C, D, E } {F, G, H, I }.
Circle your answer.
[1 mark]
56 58 63 70
Turn over for the next question
Turn over
s
(03)
Jun21/7367/3D
