AQA AS FURTHER MATHEMATICS Paper 1 QP MAY
2024
[Author name] [Date] [Course title]
,AQA AS FURTHER MATHEMATICS Paper 1 QP MAY 2024
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 13 May 2024 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑ level Mathematics and A‑ level Further Mathematics.
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 require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 8
Do not write outside the box around each page or on blank pages. 9
Show all necessary working; otherwise marks for method may be lost.
10
Do all rough work in this book. Cross through any work that you do not want
11
to be marked.
Information 12
The marks for questions are shown in brackets. 13
The maximum mark for this paper is 80.
14
Advice 15
Unless stated otherwise, you may quote formulae, without proof, 16
from the booklet. 17
You do not necessarily need to use all the space provided.
TOTAL
(JUN247366101)
G/LM/Jun24/G4001/V5 7366/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Express cosh2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh2 x 1 – sinh2 x sinh2 x – 1 –1 – sinh2 x
2 The function f is defined by
f (x) = 2x + 3 0≤x≤5
The region R is enclosed by y = f (x), x = 5, the x‑ axis and the y‑ axis. The
region R is rotated through 2π radians about the x‑ axis.
Give an expression for the volume of the solid formed.
Tick () one box.
[1 mark]
5
π (2x + 3) dx
0
5
π (2x + 3)2 dx
0
(2x + 3) dx
5
2π
0
(2x + 3) dx
5
2π 2
0
(02)
G/Jun24/7366/1
, 3
Do not write
outside the
box
3 The matrix A is such that det(A) = 2
Determine the value of det(A–1)
Circle your answer.
[1 mark]
–2 –1 1 2
2 2
4 The line L has vector equation
–9
[] [ ]
4
r = –7 + λ 1
0 3
Give the equation of L in Cartesian form.
Tick () one box.
[1 mark]
x+4 y–7 z
= =
–9 1 3
x–4 = y+7= z
–9 1 3
x+9 y–1 ,z=3
=
4 –7
x–9 y+1 ,z=3
=
4 –7
Turn over U
(03)
G/Jun24/7366/1
2024
[Author name] [Date] [Course title]
,AQA AS FURTHER MATHEMATICS Paper 1 QP MAY 2024
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 13 May 2024 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑ level Mathematics and A‑ level Further Mathematics.
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 require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 8
Do not write outside the box around each page or on blank pages. 9
Show all necessary working; otherwise marks for method may be lost.
10
Do all rough work in this book. Cross through any work that you do not want
11
to be marked.
Information 12
The marks for questions are shown in brackets. 13
The maximum mark for this paper is 80.
14
Advice 15
Unless stated otherwise, you may quote formulae, without proof, 16
from the booklet. 17
You do not necessarily need to use all the space provided.
TOTAL
(JUN247366101)
G/LM/Jun24/G4001/V5 7366/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Express cosh2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh2 x 1 – sinh2 x sinh2 x – 1 –1 – sinh2 x
2 The function f is defined by
f (x) = 2x + 3 0≤x≤5
The region R is enclosed by y = f (x), x = 5, the x‑ axis and the y‑ axis. The
region R is rotated through 2π radians about the x‑ axis.
Give an expression for the volume of the solid formed.
Tick () one box.
[1 mark]
5
π (2x + 3) dx
0
5
π (2x + 3)2 dx
0
(2x + 3) dx
5
2π
0
(2x + 3) dx
5
2π 2
0
(02)
G/Jun24/7366/1
, 3
Do not write
outside the
box
3 The matrix A is such that det(A) = 2
Determine the value of det(A–1)
Circle your answer.
[1 mark]
–2 –1 1 2
2 2
4 The line L has vector equation
–9
[] [ ]
4
r = –7 + λ 1
0 3
Give the equation of L in Cartesian form.
Tick () one box.
[1 mark]
x+4 y–7 z
= =
–9 1 3
x–4 = y+7= z
–9 1 3
x+9 y–1 ,z=3
=
4 –7
x–9 y+1 ,z=3
=
4 –7
Turn over U
(03)
G/Jun24/7366/1
