ACTUAL MAY 2024 AQA A-LEVEL FURTHER MATHEMATICS PAPER 1 7367/1 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
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.
⚫ 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
8
of this book. Write the question number against your answer(s).
⚫ 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.
12
Information 13
⚫ The marks for questions are shown in brackets. 14
⚫ The maximum mark for this paper is 100.
15
Advice 16
⚫ Unless stated otherwise, you may quote formulae, without proof, 17
from the booklet. 18
⚫ You do not necessarily need to use all the space provided.
TOTAL
G/LM/Jun24/G4006/V8 7367/1
, 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]
–4 –1 1 4
5 5 5 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
G/Jun24/7367/1
, 3
Do not write
outside the
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
G/Jun24/7367/1
, 4
Do not write
outside the
5 The points A, B and C have coordinates A(5, 3, 4), B(8, –1, 9) and C(12, 5, 10) box
The points A, B and C lie in the plane ∏
5 (a) Find a vector that is normal to the plane ∏
[3 marks]
G/Jun24/7367/1
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.
⚫ 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
8
of this book. Write the question number against your answer(s).
⚫ 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.
12
Information 13
⚫ The marks for questions are shown in brackets. 14
⚫ The maximum mark for this paper is 100.
15
Advice 16
⚫ Unless stated otherwise, you may quote formulae, without proof, 17
from the booklet. 18
⚫ You do not necessarily need to use all the space provided.
TOTAL
G/LM/Jun24/G4006/V8 7367/1
, 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]
–4 –1 1 4
5 5 5 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
G/Jun24/7367/1
, 3
Do not write
outside the
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
G/Jun24/7367/1
, 4
Do not write
outside the
5 The points A, B and C have coordinates A(5, 3, 4), B(8, –1, 9) and C(12, 5, 10) box
The points A, B and C lie in the plane ∏
5 (a) Find a vector that is normal to the plane ∏
[3 marks]
G/Jun24/7367/1
