Please write clearly in block capitals.
Centre number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work. For Examiner’s Use
7357/3 ACTUAL 2025
Question Mark
A-level 1
2
Candid
ate 3
number
PAPER MERGED WITH
4
5
MARK SCHEME
6
7
8
9
MATHEMATICS 10
11
Paper 3
12
Thursday 19 June 2025 Afternoon Time allowed:
13 2 hours
Materials l You must have the AQA Formulae for A-level Mathematics booklet. 14
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 15
Instructions l Use black ink or black ball-point pen. Pencil should only be used 16
for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l You
must answer each question in the space provided for that question. 17
l 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). l Do not write 18
outside the box around each page or on blank pages. l Show all necessary
working; otherwise marks for method may be lost. 19
20
TOTAL
, 2
Do not write
outside the
box
l Do all rough work in this book. Cross through any work that 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
100.
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.
(JUN257357301) G/LM/Jun25/G4006/E11 7357/3
Section A
Answer all questions in the spaces provided.
G/Jun25/7357/3
, 3
Do not write
outside the
box
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
e×0=0 ×π=1 ×√6=√3 2×√3=√6
√2
(02)
Turn over U
G/Jun25/7357/3
, 4
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 π
4 2
Turn over for the next question
G/Jun25/7357/3
Centre number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work. For Examiner’s Use
7357/3 ACTUAL 2025
Question Mark
A-level 1
2
Candid
ate 3
number
PAPER MERGED WITH
4
5
MARK SCHEME
6
7
8
9
MATHEMATICS 10
11
Paper 3
12
Thursday 19 June 2025 Afternoon Time allowed:
13 2 hours
Materials l You must have the AQA Formulae for A-level Mathematics booklet. 14
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 15
Instructions l Use black ink or black ball-point pen. Pencil should only be used 16
for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l You
must answer each question in the space provided for that question. 17
l 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). l Do not write 18
outside the box around each page or on blank pages. l Show all necessary
working; otherwise marks for method may be lost. 19
20
TOTAL
, 2
Do not write
outside the
box
l Do all rough work in this book. Cross through any work that 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
100.
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.
(JUN257357301) G/LM/Jun25/G4006/E11 7357/3
Section A
Answer all questions in the spaces provided.
G/Jun25/7357/3
, 3
Do not write
outside the
box
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
e×0=0 ×π=1 ×√6=√3 2×√3=√6
√2
(02)
Turn over U
G/Jun25/7357/3
, 4
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 π
4 2
Turn over for the next question
G/Jun25/7357/3
