AQA A Level Mathematics Paper 2 | Question Paper and Mark Scheme Merged | Verified Complete Exam Solutions

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A-level
MATHEMATICS
Paper 2

Tuesday 11 June 2024 Afternoon Time allowed: 2 hours
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
1
requirements of the specification.
2
3
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing. 4
l Fill in the boxes at the top of this page. 5
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
l If you need extra space for your answer(s), use the lined pages at the end of 8
this book. Write the question number against your answer(s). 9
l Do not write outside the box around each page or on blank pages. 10
l Show all necessary working; otherwise marks for method may be lost.
11
l Do all rough work in this book. Cross through any work that you do not want
12
to be marked.
13
14
Information
l The marks for questions are shown in brackets. 15
l The maximum mark for this paper is 100. 16
17
Advice 18
l Unless stated otherwise, you may quote formulae, without proof, from 19
the booklet. 20
l You do not necessarily need to use all the space provided. 21
TOTAL




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2
Do not write
outside the
box
Section A

Answer all questions in the spaces provided.



1 One of the equations below is the equation of a circle.

Identify this equation.
[1 mark]

Tick () one box.


(x + 1)2 – (y + 2)2 = –36


(x + 1)2 – (y + 2)2 = 36


(x + 1)2 + (y + 2)2 = –36


(x + 1)2 + (y + 2)2 = 36




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3
Do not write
outside the
box
2 The graph of y = f (x) intersects the x-axis at (–3, 0), (0, 0) and (2, 0) as shown in the
diagram below.


y




A



–3 2 x
B




The shaded region A has an area of 189

The shaded region B has an area of 64
2
Find the value of
∫
–3
f (x)  dx

Circle your answer.
[1 mark]

–253 –125 125 253



Turn over for the next question




Turn over U


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4
Do not write
outside the
box
3 Solve the inequality
(1 – x)(x – 4) < 0
[1 mark]

Tick () one box.


∩
{x : x < 1} {x : x > 4}



{x : x < 1} ∩ {x : x > 4}



{x : x ≥ 4}
∩
{x : x < 1}



{x : x < 1} ∩ {x : x ≥ 4}




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