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Exam (elaborations)

AQA AS-Level Mathematics Paper 2 2020

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Surname _________________________________________________________________________

Forename(s) _________________________________________________________________________

Candidate signature _________________________________________________________________________
I declare this is my own work.



AS
MATHEMATICS
Paper 2


Wednesday 20 May 2020 Morning Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
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 of 7
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 80.
14
Advice 15
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



(JUN207356201)
PB/Jun20/E5 7356/2

, 2
Do not write
outside the
Section A box




Answer all questions in the spaces provided.




2
1 Identify the expression below that is equivalent to e 5


Circle your answer.
[1 mark]
1 pffiffiffiffiffiffi p
5
ffiffiffiffiffiffi 1
p
5
ffiffiffiffiffiffi  e5  e2 pffiffiffiffiffiffi
e2 e5




1
2 It is given that y ¼ and x < 1
x
Determine which statement below fully describes the possible values of y.

Tick (3) one box.
[1 mark]

1 < y < 1


y > 1


1 < y < 0


y<0




(02)
Jun20/7356/2

, 3
Do not write
outside the
3 It is given that box


2 x
y ¼ 3x 4 þ  þ 1
x 4

d 2y
Find an expression for
d x2
[3 marks]

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Turn over for the next question




Turn over
s




(03)
Jun20/7356/2

, 4
Do not write
outside the
4 Find all the solutions of box


9 sin2 x  6 sin x þ cos2 x ¼ 0

where 0  x  180

Give your solutions to the nearest degree.

Fully justify your answer.
[4 marks]

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(04)
Jun20/7356/2

Connected book
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Sophie Goldie, Susan Whitehouse AQA A Level Mathematics Year 1 (AS)
Publisher: Unknown ISBN: 9781471852862 Edition: 1

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