AQA A-LEVEL MATHEMATICS 7357/1 PAPER 1 FINAL
EXAM QUESTION PAPER
(AUTHENTIC MARKING SCHEME ATTACHED).
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 Question Mark
meets the 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. 4
l Answer all questions.
5
l You must answer each question in the space provided for that
question. If you need extra space for your answer(s), use the 6
lined pages at the end of this book. Write the question number
7
against your answer(s).
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 9
lost.
l Do all rough work in this book. Cross through any work that you do 10
not want to be marked. 11
Information 12
l The marks for questions are shown in brackets. 13
l The maximum mark for this paper is 100.
14
Advice 15
l Unless stated otherwise, you may quote formulae, without
TOTAL
proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN227357101) 7357/1
PB/Jun22/E6
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 A curve is defined by the parametric equations
x ¼ cos y and y ¼ sin y where 0 y 2p
Which of the options shown below is a Cartesian equation for this curve?
Circle your answer.
[1 mark]
y
2 2 2 2 2 2
x ¼ tan y x þy ¼1 x y ¼1 x y ¼1
2 A periodic sequence is defined by
n
Un ¼ ( 1)
State the period of the sequence.
Circle your answer.
[1 mark]
1 0 1 2
3 The curve
y ¼ log4 x
is transformed by a stretch, scale factor 2, parallel to the y-axis.
State the equation of the curve after it has been transformed.
Circle your answer.
[1 mark]
1
log x
y¼2 4 y ¼ 2 log4 x y ¼ log4 2x y ¼ log8 x
(02)
Jun22/7357/1
, 3
Do not write
outside the
Turn over for the next question box
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
Turn over
s
(03)
Jun22/7357/1
, 4
Do not write
outside the
4 The graph of box
y ¼ f (x)
where
2
f (x) ¼ ax þ bx þ c
is shown in Figure 1.
Figure 1
y
x
(04)
Jun22/7357/1
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 StudyTimeOT. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.85. You're not tied to anything after your purchase.
