AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
AS
MATHEMATICS
Paper 2
Wednesday 22 May 2019 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
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 require extra space, use an AQA supplementary answer book; do not 6
use the space provided for a different question.
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
(JUN197356201)
PB/Jun19/E3 7356/2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 Find the gradient of the curve y ¼ e3x at the point where it crosses the y-axis.
Circle your answer.
[1 mark]
3 1 1 3
2 Find the centre of the circle x 2 þ y 2 þ 4x 6y ¼ 12
Tick (3) one box.
[1 mark]
(2, 3)
(2, 3)
(2, 3)
(2, 3)
(02)
Jun19/7356/2
, 3
Do not write
outside the
3 It is given that sin y ¼ 0:1 and 180 < y < 270 box
Find the exact value of cos y
[2 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4 Show that, for x > 0
x4
log10 þ log10 9x log10 x 3 2(1 þ log10 3x)
100
[4 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over for the next question
Turn over
s
(03)
Jun19/7356/2
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
AS
MATHEMATICS
Paper 2
Wednesday 22 May 2019 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
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 require extra space, use an AQA supplementary answer book; do not 6
use the space provided for a different question.
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
(JUN197356201)
PB/Jun19/E3 7356/2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 Find the gradient of the curve y ¼ e3x at the point where it crosses the y-axis.
Circle your answer.
[1 mark]
3 1 1 3
2 Find the centre of the circle x 2 þ y 2 þ 4x 6y ¼ 12
Tick (3) one box.
[1 mark]
(2, 3)
(2, 3)
(2, 3)
(2, 3)
(02)
Jun19/7356/2
, 3
Do not write
outside the
3 It is given that sin y ¼ 0:1 and 180 < y < 270 box
Find the exact value of cos y
[2 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4 Show that, for x > 0
x4
log10 þ log10 9x log10 x 3 2(1 þ log10 3x)
100
[4 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over for the next question
Turn over
s
(03)
Jun19/7356/2
