AQA A LEVEL MATHEMATICS PAPER 1 JUNE 2020
A-level
MATHEMATICS
Paper 1
Wednesday 3 June 2020 Afternoon Time allowed: 2 hours
Materials
You must have the AQA Formulae for A‑level Mathematics booklet.
You should have a graphical or scientific calcula...
aqa a level mathematics paper 1 june 2020 a level mathematics paper 1 wednesday 3 june 2020 afternoon time allowed 2 hours materials you must have the aqa formulae for a‑level ma
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AQA A LEVEL MATHEMATICS PAPER 1 JUNE 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
You must have the AQA Formulae for A-level Mathematics booklet.
You should have a graphical or scientific calculator that Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
Use black ink or black ball-point pen. Pencil should only be used for drawing.
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
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 6
answer(s). 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 8
not want to be marked. 9
Information 10
The marks for questions are shown in brackets. 11
The maximum mark for this paper is 100. 12
Advice 13
Unless stated otherwise, you may quote formulae, without 14
proof, from the booklet.
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
Answer all questions in the spaces provided. box
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) ≈aþ
3— 5
2
4
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 box
(x ) ¼ 0
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]
2x þ 1
1 f (x ) x f (x) x3 f (x)
f (x ) ¼ ¼
¼ xþ2
x ¼
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]
pffi ffiffi
3 2 3
1
Turn over for the next question
(03)
Jun20/7357/
1
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