ACTUAL JUNE 2024 AQA A-LEVEL MATHEMATICS PAPER 2 7357/2 QUESTION PAPER
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
⚫ You must have the AQA Formulae for A‑level Mathematics booklet Question Mark
⚫ You should have a graphical or scientific calculator that meets the
1
requirements of the specification. 2
3
Instructions
4
⚫ Use black ink or black ball‑point pen. Pencil should only be used for drawing.
⚫ Fill in the boxes at the top of this page.
5
⚫ Answer all questions. 6
⚫ You must answer each question in the space provided for that question. 7
⚫ 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
⚫ Do not write outside the box around each page or on blank pages. 10
⚫ Show all necessary working; otherwise marks for method may be lost. 11
⚫ Do all rough work in this book. Cross through any work that you do not want
12
to be marked. 13
14
Information
15
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 100.
16
17
Advice 18
⚫ Unless stated otherwise, you may quote formulae, without proof, from 19
the booklet. 20
⚫ You do not necessarily need to use all the space provided. 21
TOTAL
G/LM/Jun24/G4005/E7 7357/2
, 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
G/Jun24/7357/2
, 3
Do not write
outside the
2 The graph of y = f (x) intersects the x‑axis at (–3, 0), (0, 0) and (2, 0) as shown in the box
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
G/Jun24/7357/2
, 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}
G/Jun24/7357/2
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
⚫ You must have the AQA Formulae for A‑level Mathematics booklet Question Mark
⚫ You should have a graphical or scientific calculator that meets the
1
requirements of the specification. 2
3
Instructions
4
⚫ Use black ink or black ball‑point pen. Pencil should only be used for drawing.
⚫ Fill in the boxes at the top of this page.
5
⚫ Answer all questions. 6
⚫ You must answer each question in the space provided for that question. 7
⚫ 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
⚫ Do not write outside the box around each page or on blank pages. 10
⚫ Show all necessary working; otherwise marks for method may be lost. 11
⚫ Do all rough work in this book. Cross through any work that you do not want
12
to be marked. 13
14
Information
15
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 100.
16
17
Advice 18
⚫ Unless stated otherwise, you may quote formulae, without proof, from 19
the booklet. 20
⚫ You do not necessarily need to use all the space provided. 21
TOTAL
G/LM/Jun24/G4005/E7 7357/2
, 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
G/Jun24/7357/2
, 3
Do not write
outside the
2 The graph of y = f (x) intersects the x‑axis at (–3, 0), (0, 0) and (2, 0) as shown in the box
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
G/Jun24/7357/2
, 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}
G/Jun24/7357/2
