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 12 June 2026 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the Formulae and statistical tables booklet for
A‑level Mathematic A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
l 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 3
2 hours to complete both papers.
4
Instructions 5
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. 6
l Answer all questions.
7
l You must answer each question in the space provided for that question.
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).
TOTAL
l Do not write outside the box around each page or on blank pages.
l Show all necessary 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.
(JUN2673673S01)
G/LM/Jun26/G4008/V4 7367/3S
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The discrete random variable X has the probability distribution shown in Table 1
Table 1
x –2 1 4
P(X = x) 0.2 0.5 0.3
The mode of X is equal to k
Find P(X < k)
Circle your answer.
[1 mark]
0.2 0.3 0.5 0.7
2 The random variable S represents the number a spinner lands on when it is spun.
The spinner can land on any of the values 1, 2, 3, …, n with equal probability.
State the distribution of S
Circle your answer.
[1 mark]
Binomial Discrete uniform Normal Poisson
(02)
G/Jun26/7367/3S
, 3
Do not write
outside the
3 The continuous random variable Y follows an exponential distribution with parameter λ box
–1
It is given that P(Y ≥ 2) = e 4
Find the value of λ
Circle your answer.
[1 mark]
1 1
4 8
8 4
Turn over for the next question
Turn over U
(03)
G/Jun26/7367/3S
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Statistics
Friday 12 June 2026 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the Formulae and statistical tables booklet for
A‑level Mathematic A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification.
l 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 3
2 hours to complete both papers.
4
Instructions 5
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. 6
l Answer all questions.
7
l You must answer each question in the space provided for that question.
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).
TOTAL
l Do not write outside the box around each page or on blank pages.
l Show all necessary 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.
(JUN2673673S01)
G/LM/Jun26/G4008/V4 7367/3S
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The discrete random variable X has the probability distribution shown in Table 1
Table 1
x –2 1 4
P(X = x) 0.2 0.5 0.3
The mode of X is equal to k
Find P(X < k)
Circle your answer.
[1 mark]
0.2 0.3 0.5 0.7
2 The random variable S represents the number a spinner lands on when it is spun.
The spinner can land on any of the values 1, 2, 3, …, n with equal probability.
State the distribution of S
Circle your answer.
[1 mark]
Binomial Discrete uniform Normal Poisson
(02)
G/Jun26/7367/3S
, 3
Do not write
outside the
3 The continuous random variable Y follows an exponential distribution with parameter λ box
–1
It is given that P(Y ≥ 2) = e 4
Find the value of λ
Circle your answer.
[1 mark]
1 1
4 8
8 4
Turn over for the next question
Turn over U
(03)
G/Jun26/7367/3S
