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 1
Wednesday 4 June 2025 Afternoon Time allowed: 2 hours
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
1
requirements of the specification.
2
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.
l Answer all questions. 5
l You must answer each question in the space provided for that question.
6
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). 7
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost.
9
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
11
Information
12
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 13
14
Advice
l Unless stated otherwise, you may quote formulae, without proof, from 15
the booklet. 16
l You do not necessarily need to use all the space provided. 17
TOTAL
(JUN257357101)
G/LM/Jun25/G4006/E9 7357/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The equation of a curve is given by
y = 3e x
dy
Find an expression for
dx
Circle your answer.
[1 mark]
3 e –x 3 e 1 3 e x 3 xe x – 1
2 A sequence is defined by
1
xn+1 = – xn with x1 = 32
4
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)
G/Jun25/7357/1
, 3
Do not write
outside the
3 Express box
log 3 2 x – log 3 x
as a single logarithm.
Circle your answer.
[1 mark]
1
log 3 log 3 2 log 3 x log 3 2 x 2
2
Turn over for the next question
Turn over U
(03)
G/Jun25/7357/1
, 4
Do not write
outside the
4 The first three terms, in ascending powers of x, of the binomial expansion box
1
of (1 – 8 x) 2 are
1 + nx – 8 x 2
where n is a constant.
4 (a) State the range of values of x for which the expansion is valid.
Circle your answer.
[1 mark]
1 1
│x│> – 8 │x│> – │x│< │x│< 8
8 8
4 (b) State the value of the constant n
Circle your answer.
[1 mark]
1
– 16 – 4 4
2
_
(04)
G/Jun25/7357/1
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
A-level
MATHEMATICS
Paper 1
Wednesday 4 June 2025 Afternoon Time allowed: 2 hours
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
1
requirements of the specification.
2
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.
l Answer all questions. 5
l You must answer each question in the space provided for that question.
6
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). 7
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost.
9
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
11
Information
12
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 13
14
Advice
l Unless stated otherwise, you may quote formulae, without proof, from 15
the booklet. 16
l You do not necessarily need to use all the space provided. 17
TOTAL
(JUN257357101)
G/LM/Jun25/G4006/E9 7357/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The equation of a curve is given by
y = 3e x
dy
Find an expression for
dx
Circle your answer.
[1 mark]
3 e –x 3 e 1 3 e x 3 xe x – 1
2 A sequence is defined by
1
xn+1 = – xn with x1 = 32
4
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)
G/Jun25/7357/1
, 3
Do not write
outside the
3 Express box
log 3 2 x – log 3 x
as a single logarithm.
Circle your answer.
[1 mark]
1
log 3 log 3 2 log 3 x log 3 2 x 2
2
Turn over for the next question
Turn over U
(03)
G/Jun25/7357/1
, 4
Do not write
outside the
4 The first three terms, in ascending powers of x, of the binomial expansion box
1
of (1 – 8 x) 2 are
1 + nx – 8 x 2
where n is a constant.
4 (a) State the range of values of x for which the expansion is valid.
Circle your answer.
[1 mark]
1 1
│x│> – 8 │x│> – │x│< │x│< 8
8 8
4 (b) State the value of the constant n
Circle your answer.
[1 mark]
1
– 16 – 4 4
2
_
(04)
G/Jun25/7357/1
