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
FURTHER MATHEMATICS
Paper 1
Wednesday 22 May 2024 Afternoon Time allowed: 2 hours
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.
5
Fill in the boxes at the top of this page.
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 8
of this book. Write the question number against your answer(s). 9
Do not write outside the box around each page or on blank pages.
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. 12
13
Information
14
The marks for questions are shown in brackets.
The maximum mark for this paper is 100. 15
16
Advice 17
Unless stated otherwise, you may quote formulae, without proof, 18
from the booklet.
You do not necessarily need to use all the space provided. TOTAL
,7367/1
, Answer all questions in the spaces provided. box
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]
– 54 –1
5
1
5
4
5
iπ
2 The complex number z = e3
Which one of the following is a real number?
Circle your answer.
[1 mark]
z4 z5 z6 z7
, box
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]
2 4 8 16
3 3 3 3
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
Turn over U
Please write clearly in block capitals.
Centre number Candidate 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
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.
5
Fill in the boxes at the top of this page.
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 8
of this book. Write the question number against your answer(s). 9
Do not write outside the box around each page or on blank pages.
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. 12
13
Information
14
The marks for questions are shown in brackets.
The maximum mark for this paper is 100. 15
16
Advice 17
Unless stated otherwise, you may quote formulae, without proof, 18
from the booklet.
You do not necessarily need to use all the space provided. TOTAL
,7367/1
, Answer all questions in the spaces provided. box
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]
– 54 –1
5
1
5
4
5
iπ
2 The complex number z = e3
Which one of the following is a real number?
Circle your answer.
[1 mark]
z4 z5 z6 z7
, box
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]
2 4 8 16
3 3 3 3
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
Turn over U
