A-level
FURTHER MATHEMATICS ACTUAL 2025
PAPER MERGED WITH MARK SCHEME
Paper 3 Statistics
Please write clearly in block capitals.
Candid
Centre ate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Statistics For Examiner’s Use
Question Mark
Friday 13 June 2025 Afternoon Time allowed:
1
2 hours
Materials
l You must have the AQA Formulae and statistical tables booklet for A-level 2
Mathematics and A-level Further Mathematics. l You should have a graphical
or scientific calculator that meets the requirements of the specification. 3
l You must ensure you have the other optional Question Paper/Answer Book for
which you are entered (either Discrete or Mechanics). You will have 2 hours 4
to complete both papers.
5
Instructions l Use black ink or black ball-point pen. Pencil should only be used
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 you
6
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). l Do not write 7
outside the box around each page or on blank pages. l Show all necessary
8
9
TOTAL
, 2
Do not write
outside the
box
working; otherwise marks for method may be lost. l Do all rough work in this book.
Cross through any work that you do not want to be marked.
Information l The marks for questions are shown
in brackets. l The maximum mark for this paper is
50.
Advice
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.
(JUN2573673S01) G/LM/Jun25/G4007/V6 7367/3S
Answer all questions in the spaces provided.
1 The continuous random variable X has standard deviation 16
Find Var(5X – 12)
Circle your answer.
[1 mark]
80 400 6388 6400
G/Jun25/7367/3S
, 3
Do not write
outside the
box
2 The discrete random variable Y has probability distribution
y –6 2 3 18
P(Y = y) 0.56 0.02 0.21 0.21
Find the mode of Y
Circle your answer.
[1 mark]
–6 0.21 0.56 18
(02)
Turn over U
G/Jun25/7367/3S
, 4
Do not write
outside the
box
3 Cosmo is carrying out a hypothesis test.
He rejects the null hypothesis.
State which of the following statements is correct.
Tick () one box.
[1 mark]
He could have made a Type I error but not a Type II error.
He could have made a Type II error but not a Type I error.
He could have made both a Type I error and a Type II error.
He has made neither a Type I nor a Type II error.
Turn over for the next question
G/Jun25/7367/3S
FURTHER MATHEMATICS ACTUAL 2025
PAPER MERGED WITH MARK SCHEME
Paper 3 Statistics
Please write clearly in block capitals.
Candid
Centre ate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Statistics For Examiner’s Use
Question Mark
Friday 13 June 2025 Afternoon Time allowed:
1
2 hours
Materials
l You must have the AQA Formulae and statistical tables booklet for A-level 2
Mathematics and A-level Further Mathematics. l You should have a graphical
or scientific calculator that meets the requirements of the specification. 3
l You must ensure you have the other optional Question Paper/Answer Book for
which you are entered (either Discrete or Mechanics). You will have 2 hours 4
to complete both papers.
5
Instructions l Use black ink or black ball-point pen. Pencil should only be used
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 you
6
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). l Do not write 7
outside the box around each page or on blank pages. l Show all necessary
8
9
TOTAL
, 2
Do not write
outside the
box
working; otherwise marks for method may be lost. l Do all rough work in this book.
Cross through any work that you do not want to be marked.
Information l The marks for questions are shown
in brackets. l The maximum mark for this paper is
50.
Advice
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.
(JUN2573673S01) G/LM/Jun25/G4007/V6 7367/3S
Answer all questions in the spaces provided.
1 The continuous random variable X has standard deviation 16
Find Var(5X – 12)
Circle your answer.
[1 mark]
80 400 6388 6400
G/Jun25/7367/3S
, 3
Do not write
outside the
box
2 The discrete random variable Y has probability distribution
y –6 2 3 18
P(Y = y) 0.56 0.02 0.21 0.21
Find the mode of Y
Circle your answer.
[1 mark]
–6 0.21 0.56 18
(02)
Turn over U
G/Jun25/7367/3S
, 4
Do not write
outside the
box
3 Cosmo is carrying out a hypothesis test.
He rejects the null hypothesis.
State which of the following statements is correct.
Tick () one box.
[1 mark]
He could have made a Type I error but not a Type II error.
He could have made a Type II error but not a Type I error.
He could have made both a Type I error and a Type II error.
He has made neither a Type I nor a Type II error.
Turn over for the next question
G/Jun25/7367/3S
