AQA
A-LEVEL MATHEMATICS
PAPER 1
2020
, 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
Wednesday 3 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
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.
l Answer all questions. 4
l 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 answer(s). 6
l Show all necessary working; otherwise marks for method may be lost. 7
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 8
9
Information
l The marks for questions are shown in brackets. 10
l The maximum mark for this paper is 100. 11
12
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 13
booklet.
14
l You do not necessarily need to use all the space provided.
15
TOTAL
(JUN207357101)
PB/Jun20/E7 7357/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The first three terms, in ascending powers of x, of the binomial expansion of
1
(9 þ 2 x) 2 are given by
1
x x2
(9 þ 2 x) 2 a þ
3 54
where a is a constant.
1 (a) State the range of values of x for which this expansion is valid.
Circle your answer.
[1 mark]
2 2 9
jxj < jxj < jxj < 1 jxj <
9 3 2
1 (b) Find the value of a.
Circle your answer.
[1 mark]
1 2 3 9
(02)
Jun20/7357/1
, 3
Do not write
outside the
2 A student is searching for a solution to the equation f (x) ¼ 0 box
He correctly evaluates
f (1) ¼ 1 and f (1) ¼ 1
and concludes that there must be a root between 1 and 1 due to the change of sign.
Select the function f (x) for which the conclusion is incorrect.
Circle your answer.
[1 mark]
1 2x þ 1
f (x) ¼ f (x) ¼ x f (x) ¼ x 3 f (x) ¼
x xþ2
3 The diagram shows a sector OAB of a circle with centre O and radius 2
A B
2
θ
O
The angle AOB is y radians and the perimeter of the sector is 6
Find the value of y
Circle your answer.
[1 mark]
pffiffiffi
1 3 2 3
Turn over for the next question
Turn over
s
(03)
Jun20/7357/1
A-LEVEL MATHEMATICS
PAPER 1
2020
, 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
Wednesday 3 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
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.
l Answer all questions. 4
l 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 answer(s). 6
l Show all necessary working; otherwise marks for method may be lost. 7
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 8
9
Information
l The marks for questions are shown in brackets. 10
l The maximum mark for this paper is 100. 11
12
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 13
booklet.
14
l You do not necessarily need to use all the space provided.
15
TOTAL
(JUN207357101)
PB/Jun20/E7 7357/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The first three terms, in ascending powers of x, of the binomial expansion of
1
(9 þ 2 x) 2 are given by
1
x x2
(9 þ 2 x) 2 a þ
3 54
where a is a constant.
1 (a) State the range of values of x for which this expansion is valid.
Circle your answer.
[1 mark]
2 2 9
jxj < jxj < jxj < 1 jxj <
9 3 2
1 (b) Find the value of a.
Circle your answer.
[1 mark]
1 2 3 9
(02)
Jun20/7357/1
, 3
Do not write
outside the
2 A student is searching for a solution to the equation f (x) ¼ 0 box
He correctly evaluates
f (1) ¼ 1 and f (1) ¼ 1
and concludes that there must be a root between 1 and 1 due to the change of sign.
Select the function f (x) for which the conclusion is incorrect.
Circle your answer.
[1 mark]
1 2x þ 1
f (x) ¼ f (x) ¼ x f (x) ¼ x 3 f (x) ¼
x xþ2
3 The diagram shows a sector OAB of a circle with centre O and radius 2
A B
2
θ
O
The angle AOB is y radians and the perimeter of the sector is 6
Find the value of y
Circle your answer.
[1 mark]
pffiffiffi
1 3 2 3
Turn over for the next question
Turn over
s
(03)
Jun20/7357/1
