Question paper

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I declare this is my own work.



AS
MATHEMATICS
Paper 1


Wednesday 13 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.
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. 4
l Answer all questions.
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 6
this book. Write the question number against your answer(s).
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 8
to be marked.
9
Information 10
l The marks for questions are shown in brackets. 11
l The maximum mark for this paper is 80.
12
Advice 13
l Unless stated otherwise, you may quote formulae, without proof, from the 14
booklet.
l You do not necessarily need to use all the space provided. 15
16
TOTAL




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, 2
Do not write
outside the
Section A box




Answer all questions in the spaces provided.




1 At the point (1, 0) on the curve y ¼ ln x , which statement below is correct?

Tick (3) one box.
[1 mark]

The gradient is negative and decreasing


The gradient is negative and increasing


The gradient is positive and decreasing


The gradient is positive and increasing




2 Given that f (x) ¼ 10 when x ¼ 4 , which statement below must be correct?

Tick (3) one box.
[1 mark]

f (2 x) ¼ 5 when x ¼ 4


f (2 x) ¼ 10 when x ¼ 2


f (2 x) ¼ 10 when x ¼ 8


f (2 x) ¼ 20 when x ¼ 4




(02)
Jun20/7356/1

, 3
Do not write
outside the
3 Jia has to solve the equation box


2  2 sin2 y ¼ cos y

where 180  y  180

Jia’s working is as follows:

2  2(1  cos2 y ) ¼ cos y

2  2 þ 2 cos2 y ¼ cos y

2 cos2 y ¼ cos y
2 cos y ¼ 1
cos y ¼ 0:5
y ¼ 60

Jia’s teacher tells her that her solution is incomplete.

3 (a) Explain the two errors that Jia has made.
[2 marks]

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3 (b) Write down all the values of y that satisfy the equation

2  2 sin2 y ¼ cos y

where 180  y  180
[2 marks]

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Turn over
s




(03)
Jun20/7356/1