000001
AQA
AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
S
I declare this is my own work.
A-level
C
MATHEMATICS
Paper 3
TI
A
Thursday 20 June 2024 Afternoon Time allowed: 2 hours
EM
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
TH
Instructions 3
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 4
l Fill in the boxes at the top of this page.
5
l Answer all questions.
6
l You must answer each question in the space provided for that question.
7
l If you need extra space for your answer(s), use the lined pages at the end of
A
this book. Write the question number against your answer(s). 8
l Do not write outside the box around each page or on blank pages. 9
l Show all necessary working; otherwise marks for method may be lost. 10
M
l Do all rough work in this book. Cross through any work that you do not want 11
to be marked
12
13
Information
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 100. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof, from 18
the booklet.
19
l You do not necessarily need to use all the space provided.
TOTAL
G/LM/Jun24/G4005/E6 7357/3
Page 1 of 40
,000002
2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 Each of the series below shows the first four terms of a geometric series.
Identify the only one of these geometric series that is convergent.
[1 mark]
Tick () one box.
S
0.1 + 0.2 + 0.4 + 0.8 + …
C
1–1+1–1+…
TI
128 – 64 + 32 – 16 + …
1+2+4+8+…
A
EM
TH
A
M
(02)
G/Jun24/7357/3
Page 2 of 40
,000003
3
Do not write
outside the
box
2 The quadratic equation
4x2 + bx + 9 = 0
has one repeated real root.
Find b
Circle your answer.
[1 mark]
b=0 b = ±12 b = ±13 b = ±36
S
Turn over for the next question
C
TI
A
EM
TH
A
M
Turn over U
(03)
G/Jun24/7357/3
Page 3 of 40
, 000004
4
Do not write
outside the
box
3 One of the graphs shown below cannot have an equation of the form
y = ax where a > 0
Identify this graph.
Tick () one box.
[1 mark]
y
S
O x
C
TI
y
A
EM
O x
TH
A
M
(04)
G/Jun24/7357/3
Page 4 of 40
AQA
AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
S
I declare this is my own work.
A-level
C
MATHEMATICS
Paper 3
TI
A
Thursday 20 June 2024 Afternoon Time allowed: 2 hours
EM
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
TH
Instructions 3
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 4
l Fill in the boxes at the top of this page.
5
l Answer all questions.
6
l You must answer each question in the space provided for that question.
7
l If you need extra space for your answer(s), use the lined pages at the end of
A
this book. Write the question number against your answer(s). 8
l Do not write outside the box around each page or on blank pages. 9
l Show all necessary working; otherwise marks for method may be lost. 10
M
l Do all rough work in this book. Cross through any work that you do not want 11
to be marked
12
13
Information
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 100. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof, from 18
the booklet.
19
l You do not necessarily need to use all the space provided.
TOTAL
G/LM/Jun24/G4005/E6 7357/3
Page 1 of 40
,000002
2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 Each of the series below shows the first four terms of a geometric series.
Identify the only one of these geometric series that is convergent.
[1 mark]
Tick () one box.
S
0.1 + 0.2 + 0.4 + 0.8 + …
C
1–1+1–1+…
TI
128 – 64 + 32 – 16 + …
1+2+4+8+…
A
EM
TH
A
M
(02)
G/Jun24/7357/3
Page 2 of 40
,000003
3
Do not write
outside the
box
2 The quadratic equation
4x2 + bx + 9 = 0
has one repeated real root.
Find b
Circle your answer.
[1 mark]
b=0 b = ±12 b = ±13 b = ±36
S
Turn over for the next question
C
TI
A
EM
TH
A
M
Turn over U
(03)
G/Jun24/7357/3
Page 3 of 40
, 000004
4
Do not write
outside the
box
3 One of the graphs shown below cannot have an equation of the form
y = ax where a > 0
Identify this graph.
Tick () one box.
[1 mark]
y
S
O x
C
TI
y
A
EM
O x
TH
A
M
(04)
G/Jun24/7357/3
Page 4 of 40
