ACTUAL JUNE 2024 AQA A-LEVEL MATHEMATICS PAPER 3 7357/3 QUESTION PAPER
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 3
Thursday 20 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
⚫ You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
⚫ You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
⚫ Use black ink or black ball‑point pen. Pencil should only be used for drawing. 4
⚫ Fill in the boxes at the top of this page. 5
⚫ Answer all questions.
6
⚫ You must answer each question in the space provided for that question.
7
⚫ If you need extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s). 8
⚫ 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. 10
⚫ Do all rough work in this book. Cross through any work that you do not want 11
to be marked 12
13
Information
⚫ The marks for questions are shown in brackets.
14
⚫ The maximum mark for this paper is 100. 15
16
Advice 17
⚫ Unless stated otherwise, you may quote formulae, without proof, from 18
the booklet. 19
⚫ You do not necessarily need to use all the space provided.
TOTAL
G/LM/Jun24/G4005/E6 7357/3
, 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.
0.1 + 0.2 + 0.4 + 0.8 + …
1–1+1–1+…
128 – 64 + 32 – 16 + …
1+2+4+8+…
G/Jun24/7357/3
, 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
Turn over for the next question
Turn over U
G/Jun24/7357/3
, 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
O x
y
O x
G/Jun24/7357/3
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 3
Thursday 20 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
⚫ You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
⚫ You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
⚫ Use black ink or black ball‑point pen. Pencil should only be used for drawing. 4
⚫ Fill in the boxes at the top of this page. 5
⚫ Answer all questions.
6
⚫ You must answer each question in the space provided for that question.
7
⚫ If you need extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s). 8
⚫ 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. 10
⚫ Do all rough work in this book. Cross through any work that you do not want 11
to be marked 12
13
Information
⚫ The marks for questions are shown in brackets.
14
⚫ The maximum mark for this paper is 100. 15
16
Advice 17
⚫ Unless stated otherwise, you may quote formulae, without proof, from 18
the booklet. 19
⚫ You do not necessarily need to use all the space provided.
TOTAL
G/LM/Jun24/G4005/E6 7357/3
, 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.
0.1 + 0.2 + 0.4 + 0.8 + …
1–1+1–1+…
128 – 64 + 32 – 16 + …
1+2+4+8+…
G/Jun24/7357/3
, 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
Turn over for the next question
Turn over U
G/Jun24/7357/3
, 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
O x
y
O x
G/Jun24/7357/3
