A-level
MATHEMATICS
Paper 1
Time allowed: 2 hours
Materials
You must have the AQA Formulae for A‑level Mathematics booklet.
You should have a graphical or scientific calculator that meets the requirements of the specification.
Instructions
Use black ink or black ball�...
Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A-level Mathematics booklet.
You should have a graphical or scientific calculator Questio Mark
n
that meets the requirements of the specification.
1
Instructions 2
Use black ink or black ball-point pen. Pencil should only be used for drawing.
3
Fill in the boxes at the top of this page.
Answer all questions. 4
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
6
pages at the end of this book. Write the question number
against your answer(s). 7
Do not write outside the box around each page or on blank pages. 8
Show all necessary working; otherwise marks for method may be lost.
Do all rough work in this book. Cross through any work that 9
you do not want to be marked. 10
11
Information
The marks for questions are shown in brackets. 12
The maximum mark for this paper is 100. 13
14
Advice
Unless stated otherwise, you may quote formulae, without 15
proof, from the booklet. TOTAL
You do not necessarily need to use all the space provided.
1
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 A curve is defined by the parametric equations
x ¼ cos y and y ¼ sin y where 0 ≤ y ≤ 2p
Which of the options shown below is a Cartesian equation
for this curve? Circle your answer.
[1
y mark]
x ¼ tan y x þy ¼1 x —y ¼1 x y ¼
2 2 2 2 2 2
1
2 A periodic sequence is
defined by
U n ¼ (—1)n
State the period of the
sequence.
Circle your answer.
[1 mark]
—1 0 1
2
3 The
curve
y ¼ log4 x
is transformed by a stretch, scale factor 2, parallel
to the y-axis. State the equation of the curve after
it has been transformed.
Circle your 1 x y ¼ 2 log
answer. 2 4 y¼ log
, 3
Do not write
outside the
[1 mark]
x y ¼ log 2x y¼ 4 4 8
log x
, 4
Do not write
outside the
Turn over for the next box
question
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
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