a-level maths
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 1JUNE 2022
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 Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
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. 3
Answer all questions. 4
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 6
answer(s). 7
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. 8
Do all rough work in this book. Cross through any work that you do 9
not want to be marked.
10
Information 11
The marks for questions are shown in brackets. 12
The maximum mark for this paper is 100.
13
Advice 14
Unless stated otherwise, you may quote formulae, without
proof, from the booklet. 15
You do not necessarily need to use all the space provided. TOTAL
(JUN227357101) PB/Jun22/E6
,a-level maths
7357/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
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
y mark]
¼ tan y x þy ¼1
2 2
x —y ¼1
2 2
x y ¼
2 2
x
1
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 x y¼2 4x y¼ 4 2x y ¼ log8
y¼ log4 log log x
2
(02)
Jun22/7357/
1
, 3
Do not write
outside the
Turn over for the next box
question
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
(03)
Jun22/7357/
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 1JUNE 2022
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 Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
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. 3
Answer all questions. 4
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 6
answer(s). 7
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. 8
Do all rough work in this book. Cross through any work that you do 9
not want to be marked.
10
Information 11
The marks for questions are shown in brackets. 12
The maximum mark for this paper is 100.
13
Advice 14
Unless stated otherwise, you may quote formulae, without
proof, from the booklet. 15
You do not necessarily need to use all the space provided. TOTAL
(JUN227357101) PB/Jun22/E6
,a-level maths
7357/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
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
y mark]
¼ tan y x þy ¼1
2 2
x —y ¼1
2 2
x y ¼
2 2
x
1
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 x y¼2 4x y¼ 4 2x y ¼ log8
y¼ log4 log log x
2
(02)
Jun22/7357/
1
, 3
Do not write
outside the
Turn over for the next box
question
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
(03)
Jun22/7357/
1
