AQA
A-level
MATHEMATICS
7357/1
Paper 1
Question Paper + Mark scheme [MERGED]
June 2022
, 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
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). 6
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.
l Do all rough work in this book. Cross through any work that you do not want 8
to be marked. 9
Information 10
l The marks for questions are shown in brackets. 11
l The maximum mark for this paper is 100.
12
Advice 13
l Unless stated otherwise, you may quote formulae, without proof, from the
14
booklet.
l You do not necessarily need to use all the space provided. 15
TOTAL
(JUN227357101)
PB/Jun22/E6 7357/1
, 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
¼ tan y x2 þ y2 ¼ 1 x2 y2 ¼ 1 x 2y 2 ¼ 1
x
2 A periodic sequence is defined by
U n ¼ (1)n
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
y ¼ log4 x y ¼ 2 log4 x y ¼ log4 2 x y ¼ log8 x
2
(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
A-level
MATHEMATICS
7357/1
Paper 1
Question Paper + Mark scheme [MERGED]
June 2022
, 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
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). 6
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.
l Do all rough work in this book. Cross through any work that you do not want 8
to be marked. 9
Information 10
l The marks for questions are shown in brackets. 11
l The maximum mark for this paper is 100.
12
Advice 13
l Unless stated otherwise, you may quote formulae, without proof, from the
14
booklet.
l You do not necessarily need to use all the space provided. 15
TOTAL
(JUN227357101)
PB/Jun22/E6 7357/1
, 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
¼ tan y x2 þ y2 ¼ 1 x2 y2 ¼ 1 x 2y 2 ¼ 1
x
2 A periodic sequence is defined by
U n ¼ (1)n
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
y ¼ log4 x y ¼ 2 log4 x y ¼ log4 2 x y ¼ log8 x
2
(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
