AQA A-LEVEL FURTHER MATHEMATICS Paper 3 Statistics JUNE 2025
Combined Question Paper and Mark Scheme
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 13 June 2025 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 TOTAL
to be marked.
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/Jun25/G
4007/V6
, 2
Do not write
outside the
box
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
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
G/Jun25/7367/3S
, 3
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
Turn over U
G/Jun25/7367/3S
Combined Question Paper and Mark Scheme
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 13 June 2025 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 TOTAL
to be marked.
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/Jun25/G
4007/V6
, 2
Do not write
outside the
box
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
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
G/Jun25/7367/3S
, 3
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
Turn over U
G/Jun25/7367/3S
