2025 AQA AS FURTHER MATHEMATICS 7366/2S
Paper 2 Statistics
Question paper and Marking scheme Merged
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 2 Statistics
Friday 16 May 2025 Afternoon Time allowed: 1 hour 30 minutes
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
1 hour 30 minutes to complete both papers. 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.
⚫ You must answer each question in the space provided for that question. 6
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). 7
⚫ Do not write outside the box around each page or on blank pages.
⚫ Show all necessary working; otherwise marks for method may be lost. 8
⚫ Do all rough work in this book. Cross through any work that you do not want
to be marked. TOTAL
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 40.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
, 2
Do not write
outside the
box
There are no questions printed on this page
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
G/Jun25/7366/2S
, 3
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The continuous random variable A has probability density function f (a)
and variance 16
It is given that f (a) = 0 for a < 0 and ∫ 0
a2f (a)da = 52
Find the mean of A
Circle your answer.
[1 mark]
4 6 36 68
2 The random variable X ~ Po(6.50)
The random variable Y ~ Po(20.54)
The random variables X and Y are independent.
Find the standard deviation of X + Y
Circle your answer.
[1 mark]
3.75 5.20 14.04 27.04
Turn over for the next question
Turn over U
G/Jun25/7366/2S
, 4
Do not write
outside the
box
3 The random variable T has a discrete uniform distribution and takes
values 1, 2, 3, …, 17
Find the standard deviation of T
Circle your answer.
[1 mark]
8√ 3 1
2√ 6 21 24
3 3
G/Jun25/7366/2S
Paper 2 Statistics
Question paper and Marking scheme Merged
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 2 Statistics
Friday 16 May 2025 Afternoon Time allowed: 1 hour 30 minutes
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
1 hour 30 minutes to complete both papers. 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.
⚫ You must answer each question in the space provided for that question. 6
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). 7
⚫ Do not write outside the box around each page or on blank pages.
⚫ Show all necessary working; otherwise marks for method may be lost. 8
⚫ Do all rough work in this book. Cross through any work that you do not want
to be marked. TOTAL
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 40.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
, 2
Do not write
outside the
box
There are no questions printed on this page
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
G/Jun25/7366/2S
, 3
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The continuous random variable A has probability density function f (a)
and variance 16
It is given that f (a) = 0 for a < 0 and ∫ 0
a2f (a)da = 52
Find the mean of A
Circle your answer.
[1 mark]
4 6 36 68
2 The random variable X ~ Po(6.50)
The random variable Y ~ Po(20.54)
The random variables X and Y are independent.
Find the standard deviation of X + Y
Circle your answer.
[1 mark]
3.75 5.20 14.04 27.04
Turn over for the next question
Turn over U
G/Jun25/7366/2S
, 4
Do not write
outside the
box
3 The random variable T has a discrete uniform distribution and takes
values 1, 2, 3, …, 17
Find the standard deviation of T
Circle your answer.
[1 mark]
8√ 3 1
2√ 6 21 24
3 3
G/Jun25/7366/2S
