Exam (elaborations)
AQA A-level MATHEMATICS Paper 1 QP JUNE 2023
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AQA A-level MATHEMATICS Paper 1 QP JUNE 2023
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A-levelMATHEMATICS
Paper 1 AQA A-level MATHEMATICS Paper 1 QP JUNE 2023
Tuesday 6 June 2023 Afternoon Time allowed: 2 hours
Materials You must have the AQA Formulae for A‑ level Mathematics booklet. For Examiner’s Use
You should have a graphical or scientific calculator that meets the requirements
of the specification. Question Mark
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
TOTAL
, 2
Do not write
outside the
box
Please write clearly in block capitals.
Centre number Candidate number
Surname ________________________________________________________________________
Forename(s) ________________________________________________________________________
Candidate signature ________________________________________________________________________
I declare this is my own work.
Instructions 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. Answer all questions. You must answer each question in the
space provided for that question.
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). Do not write outside the box around each page or on
blank pages. Show all necessary working; otherwise marks for method may be lost. Do all
rough work in this book. Cross through any work that you do not want to be marked.
Information The marks for questions are shown in brackets. The maximum mark for this paper
is 100.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
PB/KL/Jun23/E7
Answer all questions in the spaces provided.
1 of x7 in the expansion o f (2x 3)7
Find the coefficient
Circle your answer. [1 mark]
2187 128 2 128
Jun23/7357/1
, 3
Do not write
outside the
box
dy
find
2 Given that y ¼ 2x3 dx
Circle your answer.
[1 mark]
dy 2 dy ¼ 6x2dy ¼ x4 dy 3
¼ 5x ¼ 6x dx
dx dx dx 2
(02)
Turn over
Jun23/7357/1
, 4
Do not write
outside the
box
3 The curve with equation y ¼ ln x is transformed by a stretch parallel to the scale
factor 2 x-axis with
Find the equation of the transformed curve.
Circle your answer.
[1 mark]
x y ¼ ln 2x
y ¼ ln x y ¼ 2 ln x y ¼ ln
2
4 Given that y is a small angle, find an appro ximation for cos 2y
Circle your answer.
[1 mark]
Jun23/7357/1
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