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
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
