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
AQA A-LEVEL MATHEMATICS Paper 3 QP JUNE 2025
Thursday 19 June 2025 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 1
meets the requirements of the specification. 2
3
Instructions 4
Use black ink or black ball-point pen. Pencil should only be used for drawing.
5
Fill in the boxes at the top of this page.
6
Answer all questions.
7
You must answer each question in the space provided for that question.
8
If you need extra space for your answer(s), use the lined pages at
9
the end of this book. Write the question number against your
10
answer(s).
11
Do not write outside the box around each page or on blank pages.
12
Show all necessary working; otherwise marks for method may be lost.
13
Do all rough work in this book. Cross through any work that
you do not want to be marked 14
15
Information 16
The marks for questions are shown in brackets. 17
The maximum mark for this paper is 100. 18
19
Advice 20
Unless stated otherwise, you may quote formulae, without TOTAL
proof, from the booklet.
You do not necessarily need to use all the space provided.
G/LM/Jun25/G4006/
7357/3
E11
,G/LM/Jun25/G4006/
7357/3
E11
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 A student states that the product of two irrational numbers is
always irrational.
One of the options is a counter example that shows the student’s
statement is incorrect.
Identify the counter example.
Circle your answer.
[1 mark]
1 1
e×0=0 ×π=1 ×√6=√3 2×√3=√
6
π √2
G/
Jun25/7357/3
, 3
Do not write
outside the
box
2 The diagram shows the graph of y =
arctan x
y
a
O x
–a
The graph has horizontal asymptotes at y = – a and y = a
State the value of a
Circle your answer.
[1 mark]
π 1 π
4 2 π
Turn over for the next question
G/
Jun25/7357/3
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 3
AQA A-LEVEL MATHEMATICS Paper 3 QP JUNE 2025
Thursday 19 June 2025 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 1
meets the requirements of the specification. 2
3
Instructions 4
Use black ink or black ball-point pen. Pencil should only be used for drawing.
5
Fill in the boxes at the top of this page.
6
Answer all questions.
7
You must answer each question in the space provided for that question.
8
If you need extra space for your answer(s), use the lined pages at
9
the end of this book. Write the question number against your
10
answer(s).
11
Do not write outside the box around each page or on blank pages.
12
Show all necessary working; otherwise marks for method may be lost.
13
Do all rough work in this book. Cross through any work that
you do not want to be marked 14
15
Information 16
The marks for questions are shown in brackets. 17
The maximum mark for this paper is 100. 18
19
Advice 20
Unless stated otherwise, you may quote formulae, without TOTAL
proof, from the booklet.
You do not necessarily need to use all the space provided.
G/LM/Jun25/G4006/
7357/3
E11
,G/LM/Jun25/G4006/
7357/3
E11
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 A student states that the product of two irrational numbers is
always irrational.
One of the options is a counter example that shows the student’s
statement is incorrect.
Identify the counter example.
Circle your answer.
[1 mark]
1 1
e×0=0 ×π=1 ×√6=√3 2×√3=√
6
π √2
G/
Jun25/7357/3
, 3
Do not write
outside the
box
2 The diagram shows the graph of y =
arctan x
y
a
O x
–a
The graph has horizontal asymptotes at y = – a and y = a
State the value of a
Circle your answer.
[1 mark]
π 1 π
4 2 π
Turn over for the next question
G/
Jun25/7357/3
