A-level
MATHEMATICS
Paper 1
Tuesday 6 June 2023 Afternoon Time allowed: 2 hours
Materials
You must have the AQA Formulae for A‑level Mathematics booklet.
You should have a graphical or scientific calculator that meets the requirements of the specification.
Instructions
Use b...
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 Question Mark
meets the requirements of the specification. 1
Instructions 2
3
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page.
4
Answer all questions.
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 at 6
the end of this book. Write the question number against your 7
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
10
not want to be marked.
11
Information 12
The marks for questions are shown in brackets.
13
The maximum mark for this paper is 100.
14
Advice 15
Unless stated otherwise, you may quote formulae, without proof,
16
from the booklet.
TOTAL
Aqa level1
,Aqa level1
You do not necessarily need to use all the space provided.
PB/KL/Jun23/E7
7357/1
Aqa level1
, 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 = 2x find
d
x
Circle your answer. [1 mark]
dy dy 2 dy x4 dy
2 3
= =
d xx = dx = 6x
5 d xx
6 dx
2
02
Jun23/7357/
1
, 3
Do not write
outside the
3 The curve with equation=y 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 = ln x y = 2 ln x y = ln y = 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
Turn
s
over
03
Jun23/7357/
1
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