AS
MATHEMATICS
Paper 1
Time allowed: 1 hour 30 minutes
Materials
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the
requirement
...
AS
MATHEMATICS
Paper 1
Time allowed: 1 hour 30 minutes
Materials
l 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.
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
TOTAL
I declare this is my own work.
2
Section A
Answer all questions in the spaces provided.
1 Express as a single logarithm
log10 2 log10 x
Circle your answer.
[1 mark]
log10 (2 þ x) log10 (2 x) log10 (2x) log10
2
x
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Do not write
outside the
box
(02)
3
2 The graph of the function y ¼ cos
1
2 x for 0 x 360 is one of the graphs shown
below.
Identify the correct graph.
Tick (3) one box.
[1 mark]
2
360°
–2
O
y
x
360°
–
1
2
1
2
O
y
x
1
360°
–1
O
y
x
1
360°
–1
O
y
x
Do not write
outside the
box
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Turn over s
(03)
4
3 Find the coefficient of the x3 term in the expansion of 3x þ
1
2
4
[3 marks]
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Do not write
outside the
box
Jun22/7356/1
(04)
5
4 Find all the solutions of the equation
cos2 y ¼ 10 sin y þ 4
for 0 < y < 360, giving your answers to the nearest degree.
Fully justify your answer.
[5 marks]
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Turn over for the next question
Do not write
outside the
box
Jun22/7356/1
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