AQA AS MATHEMATICS Paper 1 QP 2020
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
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
(JUN207356101)
PB/Jun20/E5 7356/1
, 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]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over
s
(03)
Jun20/7356/1
, 4
Do not write
p p outside the
4 In the binomial expansion of ( 3 þ 2)4 there are two irrational terms. box
Find the difference between these two terms.
[3 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun20/7356/1
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
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
(JUN207356101)
PB/Jun20/E5 7356/1
, 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]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over
s
(03)
Jun20/7356/1
, 4
Do not write
p p outside the
4 In the binomial expansion of ( 3 þ 2)4 there are two irrational terms. box
Find the difference between these two terms.
[3 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun20/7356/1
