ACTUAL JUNE 2024 AQA A-LEVEL FURTHER MATHEMATICS PAPER 3 7367/3S 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 3 Statistics
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
⚫ You must have the AQA Formulae and statistical tables booklet for
A‑level Mathematics and A‑level Further Mathematics. Question Mark
⚫ You should have a graphical or scientific calculator that meets the
1
requirements of the specification.
⚫ You must ensure you have the other optional Question Paper/Answer Book 2
for which you are entered (either Discrete or Mechanics). You will have
2 hours to complete both papers. 3
4
Instructions
⚫ 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.
6
⚫ Answer all questions.
⚫ 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.
⚫ Do all rough work in this book. Cross through any work that you do not want 10
to be marked.
TOTAL
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 50.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
G/LM/Jun24/G4006/V6 7367/3S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The random variable X has a Poisson distribution with mean 16
Find the standard deviation of X
Circle your answer.
[1 mark]
4 8 16 256
2 The random variable T has an exponential distribution with mean 2
Find P(T ≤ 1.4)
Circle your answer.
[1 mark]
e–2.8 e– 0.7 1 – e– 0.7 1 – e–2.8
G/Jun24/7367/3S
, 3
Do not write
outside the
box
3 The continuous random variable Y has cumulative distribution function
– 10y2 + 10 y – 16 2≤y<5
{
F( y) = 2
9 9 9
1 y≥5
Find the median of Y
Circle your answer.
[1 mark]
10 – 3√ 2 7 10 + 3√ 2
2
2 2 2
Turn over for the next question
Turn over U
G/Jun24/7367/3S
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 3 Statistics
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
⚫ You must have the AQA Formulae and statistical tables booklet for
A‑level Mathematics and A‑level Further Mathematics. Question Mark
⚫ You should have a graphical or scientific calculator that meets the
1
requirements of the specification.
⚫ You must ensure you have the other optional Question Paper/Answer Book 2
for which you are entered (either Discrete or Mechanics). You will have
2 hours to complete both papers. 3
4
Instructions
⚫ 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.
6
⚫ Answer all questions.
⚫ 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.
⚫ Do all rough work in this book. Cross through any work that you do not want 10
to be marked.
TOTAL
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 50.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
G/LM/Jun24/G4006/V6 7367/3S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The random variable X has a Poisson distribution with mean 16
Find the standard deviation of X
Circle your answer.
[1 mark]
4 8 16 256
2 The random variable T has an exponential distribution with mean 2
Find P(T ≤ 1.4)
Circle your answer.
[1 mark]
e–2.8 e– 0.7 1 – e– 0.7 1 – e–2.8
G/Jun24/7367/3S
, 3
Do not write
outside the
box
3 The continuous random variable Y has cumulative distribution function
– 10y2 + 10 y – 16 2≤y<5
{
F( y) = 2
9 9 9
1 y≥5
Find the median of Y
Circle your answer.
[1 mark]
10 – 3√ 2 7 10 + 3√ 2
2
2 2 2
Turn over for the next question
Turn over U
G/Jun24/7367/3S
