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Exam (elaborations)

AQA A LEVEL MAY JUNE 2025 MATHS PAPER 1 DOCUMENT

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AQA A LEVEL MAY JUNE 2025 MATHS PAPER 1 DOCUMENT

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Institution
Secondary school
School year
4

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Uploaded on
November 5, 2025
Number of pages
32
Written in
2025/2026
Type
Exam (elaborations)
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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
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, 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
_




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, 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


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, 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
_




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