7357/1 ACTUAL 2025 PAPER MERGED
A-level
WITH MARK SCHEME
MATHEMATICS
Paper 1
Please write clearly in block capitals.
Candid
Centre ate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
For Examiner’s Use
I declare this is my own work. Question Mark
A-level
1
2
MATHEMATICS
3
4
Paper 1 5
6
Wednesday 4 June 2025 Afternoon Time allowed:
7 2 hours
Materials l You must have the AQA Formulae for A-level Mathematics booklet. 8
l You should have a graphical or scientific calculator that meets the 9
requirements of the specification.
10
Instructions l Use black ink or black ball-point pen. Pencil should only be used 11
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. 12
l If you need extra space for your answer(s), use the lined pages at the end of
13
this book. Write the question number against your answer(s).
14
15
16
17
TOTAL
, 2
Do not write
outside the
box
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
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
lUnless stated otherwise, you may quote formulae, without proof, from the booklet. l You do not
necessarily need to use all the space provided.
(JUN257357101) G/LM/Jun25/G4006/E9 7357/1
Answer all questions in the spaces provided.
1 The equation of a curve is given by
y = 3ex
dy
Find an expression for
dx
Circle your answer.
[1 mark]
–x x x–1
3e 3e1 3e 3xe
G/Jun25/7357/1
, 3
Do not write
outside the
box
2 A sequence is defined by
1
xn+1 = – 4 xn with x1 = 32
The first four terms of the sequence are
32, –8, 2, –0.5
Which one of the following can be used to describe this sequence?
Circle your answer.
[1 mark]
Convergent Decreasing Increasing Periodic
(02)
Turn over U
G/Jun25/7357/1
, 4
Do not write
outside the
box
3 Express
log3 2x – log3 x
as a single logarithm.
Circle your answer.
[1 mark]
log3 log3 2 log3 x log3 2 x2
Turn over for the next question
G/Jun25/7357/1
A-level
WITH MARK SCHEME
MATHEMATICS
Paper 1
Please write clearly in block capitals.
Candid
Centre ate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
For Examiner’s Use
I declare this is my own work. Question Mark
A-level
1
2
MATHEMATICS
3
4
Paper 1 5
6
Wednesday 4 June 2025 Afternoon Time allowed:
7 2 hours
Materials l You must have the AQA Formulae for A-level Mathematics booklet. 8
l You should have a graphical or scientific calculator that meets the 9
requirements of the specification.
10
Instructions l Use black ink or black ball-point pen. Pencil should only be used 11
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. 12
l If you need extra space for your answer(s), use the lined pages at the end of
13
this book. Write the question number against your answer(s).
14
15
16
17
TOTAL
, 2
Do not write
outside the
box
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
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
lUnless stated otherwise, you may quote formulae, without proof, from the booklet. l You do not
necessarily need to use all the space provided.
(JUN257357101) G/LM/Jun25/G4006/E9 7357/1
Answer all questions in the spaces provided.
1 The equation of a curve is given by
y = 3ex
dy
Find an expression for
dx
Circle your answer.
[1 mark]
–x x x–1
3e 3e1 3e 3xe
G/Jun25/7357/1
, 3
Do not write
outside the
box
2 A sequence is defined by
1
xn+1 = – 4 xn with x1 = 32
The first four terms of the sequence are
32, –8, 2, –0.5
Which one of the following can be used to describe this sequence?
Circle your answer.
[1 mark]
Convergent Decreasing Increasing Periodic
(02)
Turn over U
G/Jun25/7357/1
, 4
Do not write
outside the
box
3 Express
log3 2x – log3 x
as a single logarithm.
Circle your answer.
[1 mark]
log3 log3 2 log3 x log3 2 x2
Turn over for the next question
G/Jun25/7357/1
