AQA
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I declare this is my own work.
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MATHEMATICS
Paper 1
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Thursday 16 May 2024 Afternoon Time allowed: 1 hour 30 minutes
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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
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Instructions
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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. 4
l Answer all questions. 5
l You must answer each question in the space provided for that question. 6
l If you need extra space for your answer(s), use the lined pages at the end of 7
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this book. Write the question number against your answer(s). 8
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. 9
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l Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
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Information 13
l The marks for questions are shown in brackets.
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l The maximum mark for this paper is 80.
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Advice 16
l Unless stated otherwise, you may quote formulae, without proof, from 17
the booklet. 18
l You do not necessarily need to use all the space provided. 19
TOTAL
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Section A
Answer all questions in the spaces provided.
1 It is given that tan θ ° = k, where k is a constant.
Find tan (θ + 180)°
Circle your answer.
[1 mark]
–k –1 1
k
k k
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2 Curve C has equation y =
(x – 1)2
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State the equations of the asymptotes to curve C
Tick () one box.
[1 mark]
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x = 0 and y = 0
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x = 0 and y = 1
x = 1 and y = 0
x = 1 and y = 1
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√3 + 3√5
3 Express in the form a + √b , where a and b are integers.
√5 – √3
Fully justify your answer.
[4 marks]
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Turn over for the next question
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Turn over U
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