2O25 OCR A Level Further Mathematics B
(MEI) Y422/01 Statistics Major
Verified Question paper with Marking
Scheme combined
INSTRUCTIONS
• Use black ink. You can use an HB pencil,
but only for graphs and diagrams.
• Write your answer to each question in
the space provided in the Printed Answer
Booklet. If you need extra space use the lined
pages at the end of the Printed Answer Booklet.
The question numbers must be clearly shown.
• Fill in the boxes on the front of the
Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should
be supported with working. Marks might be
OCR A LEVEL given for using a correct method, even if your
answer is wrong.
• Give your final answers to a degree of
FURTHER accuracy that is appropriate to the context.
• Do not send this Question Paper for
MATHEMATICS B marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 120.
• The marks for each question are shown
in brackets [ ].
, Oxford Cambridge and RSA
Friday 13 June 2025 – Afternoon
A Level Further Mathematics B (MEI)
Y422/01 Statistics Major
Time allowed: 2 hours 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
(MEI) QP
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer Booklet. If
you need extra space use the lined pages at the end of the Printed Answer Booklet. The
question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be given
for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 120.
• The marks for each question are shown in brackets [ ].
• This document has 12 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [H/508/5594] OCR is an exempt Charity
DC (ST/FC) 351650/5 Turn over
, 2
Section A (34 marks)
1 A fair eight sided dice has its sides labelled 1, 2, …, 8. The random variable X represents the score
when the dice is rolled once.
(a) Find P (X 2 4). [1]
(b) Find each of the following.
• E(X )
• Var(X ) [3]
The dice is rolled 3 times.
(c) Determine the exact probability that one of the scores is less than 4 and the other two are
greater than 4. [3]
2 At a toy factory, wooden blocks of approximate heights 20 mm, 30 mm and 50 mm are made in
red, yellow and green respectively. The heights of the blocks in mm are modelled by
independent random variables which are Normally distributed with means and standard
deviations as shown in the table.
Colour Mean Standard deviation
Red 20 0.8
Yellow 30 0.9
Green 50 1.2
In parts (a), (b) and (c), the blocks are selected randomly and independently of one another.
(a) Find the probability that the height of a red block is less than 19 mm. [1]
(b) A tower is made of 15 blocks stacked on top of each other consisting of 5 red
blocks, 5 yellow blocks and 5 green blocks.
Determine the probability that the tower is at least 495 mm high. [4]
(c) Determine the probability that a tower made of 3 red blocks will be at least 1 mm higher
than
a tower made of 2 yellow blocks. [3]
, © OCR 2025 Y422/01 Jun25
(MEI) Y422/01 Statistics Major
Verified Question paper with Marking
Scheme combined
INSTRUCTIONS
• Use black ink. You can use an HB pencil,
but only for graphs and diagrams.
• Write your answer to each question in
the space provided in the Printed Answer
Booklet. If you need extra space use the lined
pages at the end of the Printed Answer Booklet.
The question numbers must be clearly shown.
• Fill in the boxes on the front of the
Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should
be supported with working. Marks might be
OCR A LEVEL given for using a correct method, even if your
answer is wrong.
• Give your final answers to a degree of
FURTHER accuracy that is appropriate to the context.
• Do not send this Question Paper for
MATHEMATICS B marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 120.
• The marks for each question are shown
in brackets [ ].
, Oxford Cambridge and RSA
Friday 13 June 2025 – Afternoon
A Level Further Mathematics B (MEI)
Y422/01 Statistics Major
Time allowed: 2 hours 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
(MEI) QP
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer Booklet. If
you need extra space use the lined pages at the end of the Printed Answer Booklet. The
question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might be given
for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 120.
• The marks for each question are shown in brackets [ ].
• This document has 12 pages.
ADVICE
• Read each question carefully before you start your answer.
© OCR 2025 [H/508/5594] OCR is an exempt Charity
DC (ST/FC) 351650/5 Turn over
, 2
Section A (34 marks)
1 A fair eight sided dice has its sides labelled 1, 2, …, 8. The random variable X represents the score
when the dice is rolled once.
(a) Find P (X 2 4). [1]
(b) Find each of the following.
• E(X )
• Var(X ) [3]
The dice is rolled 3 times.
(c) Determine the exact probability that one of the scores is less than 4 and the other two are
greater than 4. [3]
2 At a toy factory, wooden blocks of approximate heights 20 mm, 30 mm and 50 mm are made in
red, yellow and green respectively. The heights of the blocks in mm are modelled by
independent random variables which are Normally distributed with means and standard
deviations as shown in the table.
Colour Mean Standard deviation
Red 20 0.8
Yellow 30 0.9
Green 50 1.2
In parts (a), (b) and (c), the blocks are selected randomly and independently of one another.
(a) Find the probability that the height of a red block is less than 19 mm. [1]
(b) A tower is made of 15 blocks stacked on top of each other consisting of 5 red
blocks, 5 yellow blocks and 5 green blocks.
Determine the probability that the tower is at least 495 mm high. [4]
(c) Determine the probability that a tower made of 3 red blocks will be at least 1 mm higher
than
a tower made of 2 yellow blocks. [3]
, © OCR 2025 Y422/01 Jun25
