[Type text]
AQA
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
Tuesday 6 June 2023 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A-level Mathematics booklet.
You should have a graphical or scientific calculator that Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
Use black ink or black ball-point pen. Pencil should only be used for drawing.
3
Fill in the boxes at the top of this page.
Answer all questions. 4
You must answer each question in the space provided for that question. 5
If you need extra space for your answer(s), use the lined pages
6
at the end of this book. Write the question number against your
answer(s). 7
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. TOTAL
1
,[Type text]
PB/KL/Jun23/E7 7357/1
2
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Find the coefficient of x 7 in the expansion of (2x
— 3)7 Circle your answer.
[1
—2187 —128 2 mark]
128
dy
3
2 Given that y ¼ 2x find
d
x
Circle your answer. [1 mark]
dy dy 2 dy x4 dy
2 3
¼ ¼
d xx ¼ dx ¼ 6x
5 d xx
6 dx
2
(02)
Jun23/7357/
1
, 3
Do not write
outside the
3 The curve with equation¼y ln x is transformed by a stretch parallel to the x- box
axis with
scale factor 2
Find the equation of the transformed curve.
Circle your answer.
[1 mark]
1
y ¼ ln x y ¼ 2 ln x y ¼ ln y ¼ ln
2 2
x 2x
4 Given that y is a small angle, find an approximation for cos 2y
Circle your answer.
[1 mark]
y2 2 2 2
1— 2 — 2y 1 — 2y 1—y
2
Turn over for the next question
(03)
Jun23/7357/
1
AQA
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
Tuesday 6 June 2023 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A-level Mathematics booklet.
You should have a graphical or scientific calculator that Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
Use black ink or black ball-point pen. Pencil should only be used for drawing.
3
Fill in the boxes at the top of this page.
Answer all questions. 4
You must answer each question in the space provided for that question. 5
If you need extra space for your answer(s), use the lined pages
6
at the end of this book. Write the question number against your
answer(s). 7
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. TOTAL
1
,[Type text]
PB/KL/Jun23/E7 7357/1
2
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Find the coefficient of x 7 in the expansion of (2x
— 3)7 Circle your answer.
[1
—2187 —128 2 mark]
128
dy
3
2 Given that y ¼ 2x find
d
x
Circle your answer. [1 mark]
dy dy 2 dy x4 dy
2 3
¼ ¼
d xx ¼ dx ¼ 6x
5 d xx
6 dx
2
(02)
Jun23/7357/
1
, 3
Do not write
outside the
3 The curve with equation¼y ln x is transformed by a stretch parallel to the x- box
axis with
scale factor 2
Find the equation of the transformed curve.
Circle your answer.
[1 mark]
1
y ¼ ln x y ¼ 2 ln x y ¼ ln y ¼ ln
2 2
x 2x
4 Given that y is a small angle, find an approximation for cos 2y
Circle your answer.
[1 mark]
y2 2 2 2
1— 2 — 2y 1 — 2y 1—y
2
Turn over for the next question
(03)
Jun23/7357/
1
