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
You must have the AQA Formulae for A-level Mathematics booklet. Question Mark
You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
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.
Answer all questions. 5
You must answer each question in the space provided for that question. 6
If you need extra space for your answer(s), use the lined pages at the end of
7
this book. Write the question number against your answer(s).
Do not write outside the box around each page or on blank pages. 8
Show all necessary working; otherwise marks for method may be lost. 9
Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
11
Information 12
The marks for questions are shown in brackets.
The maximum mark for this paper is 100. 13
14
Advice
15
Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 16
You do not necessarily need to use all the space provided. 17
TOTAL
G/LM/Jun25/G4006/E9 7357/1
, 2
Do not write
outside the
box
Answerv allvquestionsvinvthevspacesv provided.
1 v Thevequationvofvavcurvev isvgivenvby
yv=v3ex
dy
Findvanvexpressionvforv dvx
Circlevyourvanswer.
[1vmark]
3 e –x 3e1 3ex 3xexv – 1
2 Avsequencevisvdefinedvby
1v
x =v–v x withv v xv =v32
n+1 4v n 1
Thevfirstvfourvtermsvofvthevsequencevare
32, – 8, 2, – 0.5
Whichvonevofvthevfollowingvcanvbevusedvtovdescribevthisvsequence?vCircle
v yourvanswer.
[1vmark]
Convergent Decreasing Increasing Periodic
G/Jun25/7357/1
, 3
Do not write
outside the
box
3 Express
log3 2x – log3 x
as a single logarithm.
Circle your answer.
[1 mark]
1
log log3 2 log3 x log3 2 x2
3 2
Turn over for the next question
Turn over U
G/Jun25/7357/1
, 4
Do not write
outside the
box
4 The first three terms, in ascending powers of x, of the binomial expansion
1
of (1 – 8x) 2 are
1 + nx – 8x2
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
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
You must have the AQA Formulae for A-level Mathematics booklet. Question Mark
You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
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.
Answer all questions. 5
You must answer each question in the space provided for that question. 6
If you need extra space for your answer(s), use the lined pages at the end of
7
this book. Write the question number against your answer(s).
Do not write outside the box around each page or on blank pages. 8
Show all necessary working; otherwise marks for method may be lost. 9
Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
11
Information 12
The marks for questions are shown in brackets.
The maximum mark for this paper is 100. 13
14
Advice
15
Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 16
You do not necessarily need to use all the space provided. 17
TOTAL
G/LM/Jun25/G4006/E9 7357/1
, 2
Do not write
outside the
box
Answerv allvquestionsvinvthevspacesv provided.
1 v Thevequationvofvavcurvev isvgivenvby
yv=v3ex
dy
Findvanvexpressionvforv dvx
Circlevyourvanswer.
[1vmark]
3 e –x 3e1 3ex 3xexv – 1
2 Avsequencevisvdefinedvby
1v
x =v–v x withv v xv =v32
n+1 4v n 1
Thevfirstvfourvtermsvofvthevsequencevare
32, – 8, 2, – 0.5
Whichvonevofvthevfollowingvcanvbevusedvtovdescribevthisvsequence?vCircle
v yourvanswer.
[1vmark]
Convergent Decreasing Increasing Periodic
G/Jun25/7357/1
, 3
Do not write
outside the
box
3 Express
log3 2x – log3 x
as a single logarithm.
Circle your answer.
[1 mark]
1
log log3 2 log3 x log3 2 x2
3 2
Turn over for the next question
Turn over U
G/Jun25/7357/1
, 4
Do not write
outside the
box
4 The first three terms, in ascending powers of x, of the binomial expansion
1
of (1 – 8x) 2 are
1 + nx – 8x2
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
G/Jun25/7357/1
