Maths A Level
AQA
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
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
Questio Mark
specification. n
1
Instructions
Use black ink or black ball-point pen. Pencil should only be used for drawing.2
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 book. Write the
If you need extra space for your answer(s), use the lined pages at the end of this
question number against your answer(s). 6
Do not write outside the box around each page or on blank pages.
7
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 8to be marked.
9
Information
10
The marks for questions are shown in brackets.
The maximum mark for this paper is 100. 11
12
Advice
13
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided. 14
15
TOTAL
(JUN227357101)
PB/Jun22/E6
7357/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
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.
y
¼ tan y x2 þ y2 ¼ 1 x2 — y2 ¼ 1 x2y2 ¼ 1
x
[1 mark]
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
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]
x y ¼ 2 log x y ¼ log 2x y ¼ log x
1
y ¼ log
2 4 4 4 8
(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
The graph of box
y ¼ f (x )
where
f (x) ¼ ax 2 þ bx þ c
is shown in Figure 1.
Figure 1
y
x
(04)
Jun22/7357/
1
AQA
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
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
Questio Mark
specification. n
1
Instructions
Use black ink or black ball-point pen. Pencil should only be used for drawing.2
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 book. Write the
If you need extra space for your answer(s), use the lined pages at the end of this
question number against your answer(s). 6
Do not write outside the box around each page or on blank pages.
7
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 8to be marked.
9
Information
10
The marks for questions are shown in brackets.
The maximum mark for this paper is 100. 11
12
Advice
13
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided. 14
15
TOTAL
(JUN227357101)
PB/Jun22/E6
7357/1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
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.
y
¼ tan y x2 þ y2 ¼ 1 x2 — y2 ¼ 1 x2y2 ¼ 1
x
[1 mark]
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
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]
x y ¼ 2 log x y ¼ log 2x y ¼ log x
1
y ¼ log
2 4 4 4 8
(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
The graph of box
y ¼ f (x )
where
f (x) ¼ ax 2 þ bx þ c
is shown in Figure 1.
Figure 1
y
x
(04)
Jun22/7357/
1
