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 2
Wednesday 10 June 2020 Afternoon 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 meets Question Mark
the requirements of the specification.
1
Instructions 2
• Use black ink or black ball-point pen. Pencil should only be used for 3
drawing. 4
• Fill in the boxes at the top of this page. 5
• Answer all questions. 6
• You must answer each question in the space provided for that question.
7
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). 8
• Show all necessary working; otherwise marks for method may be lost. 9
• Do all rough work in this book. Cross through any work that you do not 10
want to be marked. 11
12
Information
• The marks for questions are shown in brackets. 13
• The maximum mark for this paper is 100. 14
15
Advice 16
• Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet.
18
• You do not necessarily need to use all the space provided.
19
TOTAL
I IIIIIII Ill llllllll Ill lllll lllll lllll lllll lllll lllll 111111111111111111
J U N 2 0 7 3 5 7 2 0 1 PB/Jun20/E5
7357/
, 2
Do not
write
Section A outside the
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(r) = e' f(x) = e'-x f(x) = f(x) = e"
e'1
2 Which one of the following equations has no real solutions?
Tick ( ✓) one box.
□
[1 mark]
cotx = 0
lnx = 0
□
lx +1]=0
□
secx = 0
□
1111111111111111 IIII
0 2 Jun20/7357/2
, 3
Do not
write
8 outside the
3 Find the coefficient of x2 in the binomial expansion of (2x - box
~)
[3 marks]
Turn over for the next question
Turn over )
1111111111111111 IIII
0 3
Jun20/7357/2
, 4
Do not
write
4 Using small angle approximations, show that for small, non-zero, values outside the
box
of x xtan 5.x _4
cos 4x -1
where A is a constant to be determined.
[4 marks]
1111111111111111 IIII
0 4 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
• You must have the AQA Formulae for A-level Mathematics booklet.
• You should have a graphical or scientific calculator that meets Question Mark
the requirements of the specification.
1
Instructions 2
• Use black ink or black ball-point pen. Pencil should only be used for 3
drawing. 4
• Fill in the boxes at the top of this page. 5
• Answer all questions. 6
• You must answer each question in the space provided for that question.
7
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). 8
• Show all necessary working; otherwise marks for method may be lost. 9
• Do all rough work in this book. Cross through any work that you do not 10
want to be marked. 11
12
Information
• The marks for questions are shown in brackets. 13
• The maximum mark for this paper is 100. 14
15
Advice 16
• Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet.
18
• You do not necessarily need to use all the space provided.
19
TOTAL
I IIIIIII Ill llllllll Ill lllll lllll lllll lllll lllll lllll 111111111111111111
J U N 2 0 7 3 5 7 2 0 1 PB/Jun20/E5
7357/
, 2
Do not
write
Section A outside the
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(r) = e' f(x) = e'-x f(x) = f(x) = e"
e'1
2 Which one of the following equations has no real solutions?
Tick ( ✓) one box.
□
[1 mark]
cotx = 0
lnx = 0
□
lx +1]=0
□
secx = 0
□
1111111111111111 IIII
0 2 Jun20/7357/2
, 3
Do not
write
8 outside the
3 Find the coefficient of x2 in the binomial expansion of (2x - box
~)
[3 marks]
Turn over for the next question
Turn over )
1111111111111111 IIII
0 3
Jun20/7357/2
, 4
Do not
write
4 Using small angle approximations, show that for small, non-zero, values outside the
box
of x xtan 5.x _4
cos 4x -1
where A is a constant to be determined.
[4 marks]
1111111111111111 IIII
0 4 Jun20/7357/2
