000001
AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
S
I declare this is my own work.
A-level
C
MATHEMATICS
Paper 1
TI
A
Tuesday 4 June 2024 Afternoon Time allowed: 2 hours
EM
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
requirements of the specification. 1
2
TH
Instructions 3
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.
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
A
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. 9
l Show all necessary working; otherwise marks for method may be lost. 10
M
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 11
12
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 100. 15
16
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
l You do not necessarily need to use all the space provided. 19
20
TOTAL
G/LM/Jun24/G4005/E6 7357/1
Page 1 of 40
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Find the coefficient of x in the expansion of
(4 x 3 – 5 x 2 + 3 x – 2)(x 5 + 4 x + 1)
Circle your answer.
[1 mark]
–5 –2 7 11
S
C
TI
A
EM
TH
A
M
(02)
G/Jun24/7357/1
Page 2 of 40
,000003
3
Do not write
outside the
2 The function f is defined by f (x) = e x + 1 for x ℝ box
Find an expression for f –1(x)
Tick () one box.
[1 mark]
f –1(x) = ln (x – 1)
f –1(x) = ln (x) – 1
1
f –1(x) =
S
ex + 1
C
x–1
f –1(x) = e
TI
Turn over for the next question
A
EM
TH
A
M
Turn over U
(03)
G/Jun24/7357/1
Page 3 of 40
, 000004
4
Do not write
outside the
box
3 The expression
12 x 2 + 3 x + 7
3x – 5
can be written as
C
Ax + B +
3x – 5
State the value of A
Circle your answer.
[1 mark]
3 4 7 9
S
C
TI
A
EM
TH
A
M
(04)
G/Jun24/7357/1
Page 4 of 40
AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
S
I declare this is my own work.
A-level
C
MATHEMATICS
Paper 1
TI
A
Tuesday 4 June 2024 Afternoon Time allowed: 2 hours
EM
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
requirements of the specification. 1
2
TH
Instructions 3
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.
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
A
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. 9
l Show all necessary working; otherwise marks for method may be lost. 10
M
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 11
12
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 100. 15
16
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
l You do not necessarily need to use all the space provided. 19
20
TOTAL
G/LM/Jun24/G4005/E6 7357/1
Page 1 of 40
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Find the coefficient of x in the expansion of
(4 x 3 – 5 x 2 + 3 x – 2)(x 5 + 4 x + 1)
Circle your answer.
[1 mark]
–5 –2 7 11
S
C
TI
A
EM
TH
A
M
(02)
G/Jun24/7357/1
Page 2 of 40
,000003
3
Do not write
outside the
2 The function f is defined by f (x) = e x + 1 for x ℝ box
Find an expression for f –1(x)
Tick () one box.
[1 mark]
f –1(x) = ln (x – 1)
f –1(x) = ln (x) – 1
1
f –1(x) =
S
ex + 1
C
x–1
f –1(x) = e
TI
Turn over for the next question
A
EM
TH
A
M
Turn over U
(03)
G/Jun24/7357/1
Page 3 of 40
, 000004
4
Do not write
outside the
box
3 The expression
12 x 2 + 3 x + 7
3x – 5
can be written as
C
Ax + B +
3x – 5
State the value of A
Circle your answer.
[1 mark]
3 4 7 9
S
C
TI
A
EM
TH
A
M
(04)
G/Jun24/7357/1
Page 4 of 40
