Your text here 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 2
Wednesday 10 June 2020 Afternoon 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
2
Instructions
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. 6
If you need extra space for your answer(s), use the lined pages at the end 7
of this book. Write the question number against your answer(s). 8
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 9
to be marked. 10
11
Information 12
l The marks for questions are shown in brackets. 13
l The maximum mark for this paper is 100. 14
15
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 16
booklet. 17
l You do not necessarily need to use all the space provided. 18
19
TOTAL
(JUN207357201)
PB/Jun20/E5 7357/2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 Which one of these functions is decreasing for all real values of x?
Circle your answer.
[1 mark]
f (x) ¼ e x f (x) ¼ e 1x f (x) ¼ e x1 f (x) ¼ e x
2 Which one of the following equations has no real solutions?
Tick (3) one box.
[1 mark]
cot x ¼ 0
ln x ¼ 0
jx þ 1j ¼ 0
sec x ¼ 0
(02)
Jun20/7357/2
, 3
Do not write
outside the
8 box
3
3 Find the coefficient of x 2 in the binomial expansion of 2x
x
[3 marks]
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over for the next question
Turn over
s
(03)
Jun20/7357/2
, 4
Do not write
outside the
4 Using small angle approximations, show that for small, non-zero, values of x box
x tan 5 x
A
cos 4 x 1
where A is a constant to be determined.
[4 marks]
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun20/7357/2
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 2
Wednesday 10 June 2020 Afternoon 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
2
Instructions
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. 6
If you need extra space for your answer(s), use the lined pages at the end 7
of this book. Write the question number against your answer(s). 8
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 9
to be marked. 10
11
Information 12
l The marks for questions are shown in brackets. 13
l The maximum mark for this paper is 100. 14
15
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 16
booklet. 17
l You do not necessarily need to use all the space provided. 18
19
TOTAL
(JUN207357201)
PB/Jun20/E5 7357/2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 Which one of these functions is decreasing for all real values of x?
Circle your answer.
[1 mark]
f (x) ¼ e x f (x) ¼ e 1x f (x) ¼ e x1 f (x) ¼ e x
2 Which one of the following equations has no real solutions?
Tick (3) one box.
[1 mark]
cot x ¼ 0
ln x ¼ 0
jx þ 1j ¼ 0
sec x ¼ 0
(02)
Jun20/7357/2
, 3
Do not write
outside the
8 box
3
3 Find the coefficient of x 2 in the binomial expansion of 2x
x
[3 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over for the next question
Turn over
s
(03)
Jun20/7357/2
, 4
Do not write
outside the
4 Using small angle approximations, show that for small, non-zero, values of x box
x tan 5 x
A
cos 4 x 1
where A is a constant to be determined.
[4 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun20/7357/2
