000001
AQA AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
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
G/LM/Jun24/G4005/E7 7357/2
Page 1 of 44
,000002
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
(02)
G/Jun24/7357/2
Page 2 of 44
,000003
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
(03)
G/Jun24/7357/2
Page 3 of 44
, 000004
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}
(04)
G/Jun24/7357/2
Page 4 of 44
AQA AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
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
G/LM/Jun24/G4005/E7 7357/2
Page 1 of 44
,000002
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
(02)
G/Jun24/7357/2
Page 2 of 44
,000003
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
(03)
G/Jun24/7357/2
Page 3 of 44
, 000004
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}
(04)
G/Jun24/7357/2
Page 4 of 44
