Exam (elaborations)
AQA QP 2023 A-level MATHEMATICS Paper 1 (7357/1)
- Course
- MATHEMATICS
- Institution
- MATHEMATICS
AQA QP 2023 A-level MATHEMATICS Paper 1 (7357/1)
[Show more]
Content preview
AQA QP 2023 A-level MATHEMATICS Paper 1 (7357/1)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
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification.
1
Instructions 2
l Use black ink or black ball-point pen. Pencil should only be used for drawing. 3
l Fill in the boxes at the top of this page.
l Answer all questions. 4
l You must answer each question in the space provided for that question. 5
l If you need extra space for your answer(s), use the lined pages at the end 6
of this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages. 7
l Show all necessary working; otherwise marks for method may be lost. 8
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 9
10
Information 11
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 12
13
Advice 14
l Unless stated otherwise, you may quote formulae, without proof, from the
booklet. 15
l You do not necessarily need to use all the space provided. 16
TOTAL
PB/KL/Jun23/E7 7357/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Find the coefficient of x 7 in the expansion of (2 x 3)7
Circle your answer.
[1 mark]
2187 128 2 128
dy
2 Given that y ¼ 2 x 3 find
dx
Circle your answer.
[1 mark]
dy dy dy x 4 dy
¼ 5x2 ¼ 6x2 ¼ ¼ 6x3
dx dx dx 2 dx
(02)
Jun23/7357/1
, 3
Do not write
outside the
3 The curve with equation y ¼ ln x is transformed by a stretch parallel to the x-axis with box
scale factor 2
Find the equation of the transformed curve.
Circle your answer.
[1 mark]
1 x
y ¼ ln x y ¼ 2 ln x y ¼ ln y ¼ ln 2 x
2 2
4 Given that y is a small angle, find an approximation for cos 2 y
Circle your answer.
[1 mark]
y2
1 2 2y2 1 2y2 1 y2
2
Turn over for the next question
Turn over
s
(03)
Jun23/7357/1
, 4
Do not write
outside the
5 box
5 The graph of y ¼ is shown in the diagram below.
ex 1
y
O 1 4 x
The trapezium rule with 6 ordinates (5 strips) is to be used to find an approximation
for the shaded area.
The values required to obtain this approximation are shown in the table below.
x 1 1.6 2.2 2.8 3.4 4
y 2.90988 1.26485 0.62305 0.32374 0.17263 0.09329
5 (a) Use the trapezium rule with 6 ordinates (5 strips) to find an approximate value for the
shaded area.
Give your answer to four decimal places.
[3 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun23/7357/1
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Champion. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for CA$15.21. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75323 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now