AQA
AS
MATHEMATICS
7356/2
Paper 2
Version: 1.0 Final
PB/KL/Jun23/E4 7356/2
AS
MATHEMATICS
Paper 2
Time allowed: 1 hour 30 minutes
Materials
l
... [Show More] You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
Instructions
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.
l Answer all questions.
l You must answer each question in the space provided for that question.
l 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 answer(s).
l Do not write outside the box around each page or on blank pages.
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
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 80.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the
booklet.
l You do not necessarily need to use all the space provided.
Please write clearly in block capitals.
Centre number Candidate number
Surname ________________________________________________________________________
Forename(s) ________________________________________________________________________
Candidate signature ________________________________________________________________________
For Examiner’s Use
Question Mark
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
TOTAL
I declare this is my own work.
2
Section A
Answer all questions in the spaces provided.
1 Simplify log2 8a
Circle your answer.
[1 mark]
a3 2a 3a 8a
2 It is given that sin y ¼ 4
5 and 90 < y < 180
Find the value of cos y
Circle your answer.
[1 mark]
3
4 3
5
3
5
3
4
Jun23/7356/2
Do not write
outside the
box
(02)
3
3 (a) Find ð
2x3 þ
8
x2
dx
[3 marks]
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3 (b) A curve has gradient function dy
dx
¼ 2x3 þ
8
x2
The x-intercept of the curve is at the point (2, 0)
Find the equation of the curve.
[2 marks]
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outside the
box
Jun23/7356/2
Turn over s
(03)
4
4 Find the exact solution of the equation ln (x þ 1) þ ln (x 1) ¼ ln 15 2 ln 7
Fully justify your answer.
[5 marks]
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Jun23/7356/2
(04)
5
5 It is given that sin 15 ¼
ffiffiffi
6
p ffiffiffi
2
p
4 and cos 15 ¼
ffiffiffi
6
p þ ffiffiffi
2
p
4
Use these two expressions to show that tan 15 ¼ 2 ffiffiffi
3
p
Fully justify your answer.
[4 marks]
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