AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
Please write clearly in block
capitals.
Centre Candidate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate _________________________________________________________________________
signature I declare this is my own
work.
A-level
FURTHER MATHEMATICS
Paper 1
Wednesday 22 May 2024 Afternoon Time allowed:
2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for Question Mark
A-level Mathematics and A-level Further Mathematics. l You should have a
graphical or scientific calculator that meets the requirements of the specification. 1
2
Instructions l Use black ink or black ball-point pen. Pencil should only be used 3
for drawing. l Fill in the boxes at the top of this page. l Answer all questions.
l You must answer each question in the space provided for that question. If 4
you require extra space for your answer(s), use the lined pages at the end of this 5
book. Write the question number against your answer(s). l Do not write outside 6
the box around each page or on blank pages. l Show all necessary working;
otherwise marks for method may be lost. l Do all rough work in this book. Cross 7
through any work that you do not want to be marked. 8
9
Information l The marks for questions are shown in brackets. l The maximum
mark for this paper is 100. 10
11
Advice 12
l Unless stated otherwise, you may quote formulae, without proof, from the
booklet. l You do not necessarily need to use all the space provided. 13
14
15
16
(JUN247367101) G/LM/Jun24/G4006/V8
17 7367/1
18
TOTAL
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The roots of the equation 20x3 – 16x2 – 4x + 7 = 0 are α, β and γ
Find the value of αβ + βγ + γα Circle
your answer.
[1 mark]
– –
iπ
3
2 The complex number z = e
Which one of the following is a real number?
Circle your answer. [1 mark]
z4 z5 z6 z7
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
, 3
Do not write
outside the
box
(02)
3 The function f is defined by
f (x) = x2 (x ∈ ℝ) Find the
mean value of f (x) between x = 0 and x = 2
Circle your answer.
[1 mark]
Turn over U
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
, 4
Do not write
outside the
box
4 Which one of the following statements is correct?
Tick () one box.
[1 mark]
lim(x2 ln x) = 0
x 0
lim(x2 ln x) = 1
x 0
lim(x2 ln x) = 2
x 0
lim(x2 ln x) is not defined.
x 0
Turn over for the next question
(03)
5 The points A, B and C have coordinates A(5, 3, 4), B(8, –1, 9) and C(12, 5, 10)
The points A, B and C lie in the plane ∏
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
Please write clearly in block
capitals.
Centre Candidate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate _________________________________________________________________________
signature I declare this is my own
work.
A-level
FURTHER MATHEMATICS
Paper 1
Wednesday 22 May 2024 Afternoon Time allowed:
2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for Question Mark
A-level Mathematics and A-level Further Mathematics. l You should have a
graphical or scientific calculator that meets the requirements of the specification. 1
2
Instructions l Use black ink or black ball-point pen. Pencil should only be used 3
for drawing. l Fill in the boxes at the top of this page. l Answer all questions.
l You must answer each question in the space provided for that question. If 4
you require extra space for your answer(s), use the lined pages at the end of this 5
book. Write the question number against your answer(s). l Do not write outside 6
the box around each page or on blank pages. l Show all necessary working;
otherwise marks for method may be lost. l Do all rough work in this book. Cross 7
through any work that you do not want to be marked. 8
9
Information l The marks for questions are shown in brackets. l The maximum
mark for this paper is 100. 10
11
Advice 12
l Unless stated otherwise, you may quote formulae, without proof, from the
booklet. l You do not necessarily need to use all the space provided. 13
14
15
16
(JUN247367101) G/LM/Jun24/G4006/V8
17 7367/1
18
TOTAL
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The roots of the equation 20x3 – 16x2 – 4x + 7 = 0 are α, β and γ
Find the value of αβ + βγ + γα Circle
your answer.
[1 mark]
– –
iπ
3
2 The complex number z = e
Which one of the following is a real number?
Circle your answer. [1 mark]
z4 z5 z6 z7
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
, 3
Do not write
outside the
box
(02)
3 The function f is defined by
f (x) = x2 (x ∈ ℝ) Find the
mean value of f (x) between x = 0 and x = 2
Circle your answer.
[1 mark]
Turn over U
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
, 4
Do not write
outside the
box
4 Which one of the following statements is correct?
Tick () one box.
[1 mark]
lim(x2 ln x) = 0
x 0
lim(x2 ln x) = 1
x 0
lim(x2 ln x) = 2
x 0
lim(x2 ln x) is not defined.
x 0
Turn over for the next question
(03)
5 The points A, B and C have coordinates A(5, 3, 4), B(8, –1, 9) and C(12, 5, 10)
The points A, B and C lie in the plane ∏
AQA A-level FURTHER MATHEMATICS Paper 1 Wednesday 22 May 2024
